diff --git "a/data/dm_maths/full_data/2053_11255.jsonl" "b/data/dm_maths/full_data/2053_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2053_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify -5*(2 + sqrt(153)) + sqrt(153).\nAnswer: -12*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/11)*d\/(d**13*d)*d**(-1\/11)*d\/((d\/d**4)\/d) assuming d is positive.\nAnswer: d**(-87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 55210680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3 - 15*a**2 + 270?\nAnswer: -6*a**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:18 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -55. Let i = -45 + p. What is the first derivative of -17*r**2 + 5 + 4 + i wrt r?\nAnswer: -34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 179\/3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 4*f + 2. What is the tens digit of i(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10108\/36 + (-70)\/9 + 8 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from uuzkwukkwwwukuwkk?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*n - 3*n, 2*j + n - 19 = 0. Let c(v) = v - 9. What is the units digit of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**3 + 8*a**2 - 2*a + 8. What is c(5)?\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5 - 4981*z**4 + 4970*z**3 + 49792*z**2 + 39840*z = 0.\nAnswer: -2, -1, 0, 4, 4980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168545723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.15 + 1.65. Sort 7, x, 4.\nAnswer: x, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 7*q + 10. Let w(a) = 2*a**2 - 14*a + 20. Let p(x) = 5*t(x) - 3*w(x). Let n be p(5). Solve 5*r - 6 - 19 = n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b\/(b**(-7\/9)\/b*b)))\/b*b))\/b**32)\/(b*b*b*(b*b**(-2\/49))\/b*b*b**(-8)*b) assuming b is positive.\nAnswer: b**(-11987\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3232 divided by 6?\nAnswer: -1616\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504064 and 10.\nAnswer: 2520320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1033\/4116 + 1\/1029. What is the fifth biggest value in v, -1.7, -4, 2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238 * -0.025\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*f + 91*f - 626*f - 216*f)*(-1 - 1 - 2)*(0*f - f - f).\nAnswer: -6200*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 3*j + 23. Let m be t(6). Let l = m - 68. Let z(s) = 19*s**2 - 9*s + 2. Let n(k) = 9*k**2 - 4*k + 1. What is l*n(v) - 4*z(v)?\nAnswer: 5*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(245)*3*6)**2.\nAnswer: -238140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008967 rounded to four dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:43 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985803 is divided by 783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.1. Let z = 0.8 - l. Let j = -11 - -8. What is the third biggest value in 3\/7, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331610333 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 7) in base 6?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2430*j**2 - 180*j + 541. What are the prime factors of c(3)?\nAnswer: 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.409675*-1.\nAnswer: -4.409675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/11 (b) 1\/4 (c) 3\/4 (d) -1\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/30*6\/(-4)*-3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 12. Let j = 6 - 6. Suppose -p + l*p - 10 = j. Solve -p*y - 11 = -1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057628911 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - g**2 - 14*g + 33. Calculate the remainder when 4 - 6 - -8 - -118 is divided by j(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14, 9, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (557\/(-3342))\/((-1)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24c95 (base 14) to base 2.\nAnswer: -10110000010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43507 + 4072. Does 58 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-9)*((q*q*q**20)\/q)\/q*q*(q**(3\/16))**(3\/23) assuming q is positive.\nAnswer: q**(4793\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from {g: 5, w: 2, a: 5, r: 5}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 289 - -3729.28.\nAnswer: 4018.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1240 and -80.\nAnswer: -99200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 3*p**2. Let q be i(2). Suppose 2*z - q = -2*z. Let l be z + 6\/(-27)*12. Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 - -22429\/79. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17 - 6)*2 + -5. What is the derivative of -x*n**2 + 10*n**2 + 118 - 27*n**2 wrt n?\nAnswer: -68*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/6*4611\/(-9). Suppose -976 = -p + 905. Let m = d - p. Find the common denominator of m and 73\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*w - 15788, -6*s + 31588 = -2*s + 4*w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, -6, 2\/15, 32?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*z + 6482 = 1126. Put z, -11, -3 in descending order.\nAnswer: -3, -11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -12. Let c = 4 - r. Let m(o) = 19*o + 14. Let a(s) = 39*s + 29. Let z(n) = 6*a(n) - 13*m(n). Let q(x) = -3*x - 2. What is c*z(d) + 9*q(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-8 + 3) + 13. Let j(t) = -14*t - 8. Let y be j(-7). What is the greatest common divisor of y and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 125 (b) -0.1495 (c) 2\/3 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnvzqaqaznzqnamn. What is prob of picking 1 q, 1 z, and 1 n?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccyc when four letters picked without replacement from yccycyyycyycyy?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*r - 12 = 0, -5*t + r + 44 + 1 = 0. Let h(d) = 6*d + 60. Calculate the lowest common multiple of h(-6) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 81797787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 172*w - 614. Give s(6).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186787 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 116\/9. Let s be ((-12)\/(-16))\/(1\/(-4)). Let g be (s - 0) + 1*3. Is j greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, x: 1}. Give prob of picking 1 q and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876293719.\nAnswer: 7, 4657, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 3. Let m(k) = 2*k + 3 - 3*k - 2. Let d(u) = -5*m(u) - 2*t(u). Let c = 22 - 25. Let y(w) = -w**2 - 3*w + 3. Calculate c*d(s) + y(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.03 (b) 2\/29 (c) -0.02 (d) 3 (e) -2 (f) 6074\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1153.9 and 0.4?\nAnswer: 1154.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126817793, 126817795, 126817797, 126817799?\n\"Answer: 2*o + 126817791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -21. Let m = y - -72. Calculate the smallest common multiple of (6 - -4)*m\/(-10) and 67.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.1 (b) 380.2 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6*q. Solve q = -3*f + 4 + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72186)\/3405)\/((54\/30)\/9).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-8)\/(-480))\/((-2)\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**3 - 3*p**3 - 3*p**3 + (-14*p + 4*p - 5*p)*(2*p - p + 0*p)*(-4*p - 2*p + 7*p) to h + l*p**3 + x*p**2 + b*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/4 + 247*v\/2 + 6591\/4 = 0.\nAnswer: -13, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.2, 22\/71?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 13*p + 52 = 3*l, -5*p = -2*l + 23. What is the least common multiple of 42 and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20766*x**3 - 1661284*x**2\/5 - 6645184*x\/5 - 256\/5.\nAnswer: -2*(x + 8)**2*(51915*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*a**2 - 37*a**2 - 26*a**2)*(-2*a + 1 - a + 4*a) to v*a + z + u*a**3 + k*a**2 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3520 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. Let j = 35 - 35.1. Put -2\/17, j, l in decreasing order.\nAnswer: j, -2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (20 - 57) + 3 + 37.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 534, 988, 1444, 1902?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 3149 = 51*q. Suppose 0 = -5*j - 3*r + 9, -4*j - 5 = -5*j + r. Calculate the lowest common multiple of 80 and (q\/(-3) + -5)\/(2\/j).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 138, 4 in increasing order.\nAnswer: -5, 2, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 341261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -161, -236, -309?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -818 - -816. Sort -4, v, 0, -2\/7 in decreasing order.\nAnswer: 0, -2\/7, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11025220 and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u - 4*u - 14*u + 13*u.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1375*b - 88. Let z(m) = 2748*m + 147. Give 5*i(c) + 3*z(c).\nAnswer: 1369*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9025 divided by 5?\nAnswer: -1805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 8, r: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1844 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/14 - -6\/7. Let m be ((-21)\/(-6) + -3)*24. Let i(v) = v - 11. Let s be i(m). Which is the third biggest value? (a) h (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t**14))\/t*t*t)\/(t\/(t\/((t\/t**(-1\/3))\/t*t))))**(-21\/2)*t**(-1)*t*t*((t*t**(5\/3))\/t)\/t*t*t**(-6)*(t*t**(-6\/5))\/t*t assuming t is positive.\nAnswer: t**(2362\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 + 25*q - 5. What is w(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 2*p + 3. Let w be k(2). Suppose -3*h + w*q = -12, -5*q + 12 = 3*h - q. Suppose h*j = 2*j + 30. What is the remainder when 29 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/213? (a) -3 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**(1\/36)*v\/(v*((v*v\/(v*v\/v**(1\/5)))\/v*v)\/v*v)*v*v**(-5\/2))\/((v*v*v*v**3*v*v*v)\/v**6*v*v**(-1\/4)*v*(v**0*v*v)\/v*v) assuming v is positive.\nAnswer: v**(-1519\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 764*q - 764. What is k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8126\/18164 + (-2)\/(-38) - 1\/(-2)*-93?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 17 (c) -0.2 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 166 = -5*f, 43 = 2*n + 2*f - 49. Differentiate -n*t**4 + 20 - 17 - 77*t**4 + 18 with respect to t.\nAnswer: -484*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11698 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 7786*j\/3 - 46708\/9.\nAnswer: -2*(j + 2)*(j + 11677)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-11.4\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3 + 5 - 3 - 3 + 0 + 2 + 0 + (-3 - 2 + 7)*(-2 + 1 - 1) - 4 + 3 + 0)*(1 - 1 - 2*i**2) + i - i - 2*i**2 + (1 + 0 - 2)*(i**2 - 5*i**2 + 5*i**2).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23192*d**3 - 11*d**2 - d - 2586180.\nAnswer: 139152*d - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435 - 262. Let v = 177 - k. Solve 0 = m + 4*m - 4*j + 1, j + 5 = -v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7 - 5 - m - 8 + 39. Let r be h(23). What is the greatest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 253785*l**2 + 18767769*l - 347127747.\nAnswer: 3*(l - 84521)*(l - 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1 + 1) + (-36)\/12. What is the tens digit of 7\/((-28)\/(-152)) + n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 191*p - 5070 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 2. Let g be p(-3). Let s(u) = 171 - 352 + 179 + u - 15*u**3 - 5*u**2. Let c(y) = -8*y**3 - 3*y**2 - 1. Let m(t) = g*s(t) + 7*c(t). Factor m(z).\nAnswer: (z - 1)*(z + 1)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 - 25*u**2 + 28*u + 11. Let l(f) = -4*f**3 + 25*f**2 - 28*f - 18. Let h(s) = 5*i(s) + 6*l(s). Determine h(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 231?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.027 + 28.027. Which is the third smallest value? (a) -2\/5 (b) p (c) 0.3 (d) -20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -209*i - 1574. Let j be f(-2). Is j <= -1156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*y - 18, 2*j - 18 = 5*y + 9. What is the highest common factor of j and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*k**2 - 5*k - 6*k**2 + 79*k**2 wrt k?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z - 23*z - 46*z.\nAnswer: -106*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18912 or -15257?\nAnswer: -15257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6771, 13547, 20321, 27093, 33863, 40631, 47397?\nAnswer: 54161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**4\/24 - 2*i**3\/3 + i**2. Let c = -26 - -32. Calculate the lowest common multiple of c and d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:52 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 73*c**3 + 0*c - 39 - 7*c - 20*c + 3*c**2 + 8*c**2 - 71*c**3. Give z(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 57 - 13. Let t = -37 - z. Calculate the least common multiple of t and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 20 = -10*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219154 bigger than 219157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 14*p. Let r be v(15). What is the least common multiple of 12 and (0 - 9)*r + -5?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 5*l - 75. Suppose d - l = -4*m, 10 = -d - 2*m + 3*m. Let o(r) = -r**2 - 8*r - 4. What are the prime factors of o(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4661 - 65*f - 4661)*(-10*f - 2*f + 2*f + (0 + 0 - 1)*(-4 + f + 4) - f + 3*f + 0*f - f - 2*f + 5*f + 5*f + 0*f - 4*f - 7*f + 3*f + 3*f).\nAnswer: 455*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**1)\/t)**7)**(-14) assuming t is positive.\nAnswer: t**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -3, -93 in increasing order.\nAnswer: -93, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/b**(1\/4)))))\/(b\/(b\/(b*(b*b\/(b**(-2\/27)*b))\/b))))**0\/((b*b*b**1)**(-2\/69)*((b\/b**2)\/b*b)**(-22)) assuming b is positive.\nAnswer: b**(-504\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.3 (b) 3 (c) 1\/7 (d) -2 (e) 10 (f) 1\/9586\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - o**2 + 3*o - 3. Let q(u) be the third derivative of -u**6\/40 + u**5\/30 - u**4\/12 + u**3\/3 - 63*u**2. Calculate -2*l(r) - 3*q(r).\nAnswer: 3*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 10\/9*b - 2\/9*b**3 + 4\/9*b**2 - 4\/3 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 9. Let g be d(-6). Let w be 74\/37 + (-1)\/(-1)*-2. Suppose w = 6*r - g*r. Which is smaller: r or 1\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-219414)\/(-2522)*2\/(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/1387 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12447804833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 643217318 to the power of 1\/2, to the nearest integer?\nAnswer: 25362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:49 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2184 and 149\/2598.\nAnswer: 945672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {v: 4, y: 2, z: 1, m: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -114*g + 19. Let r(f) = -19*f + 3. Let l(c) = 3*q(c) - 19*r(c). Is l(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - g)*(1 - 3 - 1)*((3 - 1 + 0)*(1 + 0 + 1) - 5 + 4 + 7 + 1 - 4 + 2).\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, b: 3}. Give prob of picking 2 h and 1 b.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 2*x**3 + 0*x**3)*(-2*x**2 - 1 + 1 + (-1 + x + 1)*(-2*x + 3*x - 3*x) + 0*x**2 - 6*x**2 + 4*x**2 + 13*x - 2*x**2 - 13*x).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48497 + 69140 + 2*o + 57790 + 41615.\nAnswer: 2*o + 120048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*a + 0*a - 13 = 0, -4*q = 5*a - 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (754\/(-1128) + 2\/3)\/((-5013)\/45117). Let q(d) = d**3 + 6*d**2 + 6*d + 4. Let x be q(-5). Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*a - 18060 - 25105 = -3800 + 3685 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -401864*n**4 + 2*n**3 + 3029612.\nAnswer: -1607456*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23556 + 3?\nAnswer: -23553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10546297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 8) to base 14.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3634 - 302. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -5.1\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22515*y**2 + 8*y**3 - 22*y**3 + 16*y**3 + 2*y - 5139*y**2.\nAnswer: 2*y**3 + 17376*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 1\/3411?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76351439 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1185\/(-54) + -1*8\/36 and -87\/350.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 7*c. Let t be a(5). Is t\/(-9)*1*-1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/49 - 37\/(-7). Suppose -2*h - v = -3*h. Which is the second biggest value? (a) -5 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((sqrt(2448) - (sqrt(2448)*-3 + 0 - sqrt(2448))**2) + sqrt(2448)).\nAnswer: -96*sqrt(17) + 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/7 (b) -1 (c) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -80, -96, -136, -224, -384?\n\"Answer: -4*r**3 + 12*r**2 - 24*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 15*j = 3*v - 5, 2*v - 18 = -4*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/6*22\/77)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 3387654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 2*d + 2. Let y(s) = -63*s**2 - 55*s**2 - 9 + 105*s**2 + 9*s. What is -9*n(a) - 2*y(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 3*z**4 - 4*z**3\/3 - 13. Let d(h) = 0. What is h?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a + 4. Let z be k(3). Let m be ((-6)\/4)\/(4\/z). Sort 5, m, -1 in descending order.\nAnswer: 5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b070e (base 16) to base 5.\nAnswer: -141111302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7621658 years?\nAnswer: 0.0007621658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47547552 and 741.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 5\/2, 1, -1\/9, -2.05 in decreasing order.\nAnswer: 5\/2, 1, 1\/8, -1\/9, -2.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**4 - 2*l**3 + 2*l**2 - l. Let j(g) = -120*g**4 - 60*g**3 + 60*g**2 - 30*g - 400. Let q(u) = j(u) - 30*r(u). What is the derivative of q(v) wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.27 (c) -1\/2 (d) 2\/23 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136238 and 466?\nAnswer: 31743454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -133.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*h - 36 = 96*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 10 - 2. Let t(x) = -22*x + 1. Let q be t(g). Suppose -f = 4*f - q. Calculate the highest common factor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291326 is divided by 1079.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h*q**3 - 4*h*q**2 - h*q - 23*h - 176*q**5 + 6 wrt q.\nAnswer: -42*h - 10560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 11*v**5\/6 - 5*v**4\/24 - 2*v**3\/3 + 16*v**2. Let o be k(-1). Calculate the highest common divisor of 37 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9261232 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -15 + -110 + 85?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6661140.\nAnswer: 1\/1665285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 - 203*b**2 + 204*b**2 + 2*b**3 + 2*b - b**4 in the form z*b + g*b**3 + t*b**4 + i + p*b**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -11. Let l = 0.4 - -3. Let r = -3 + l. Which is the nearest to 1? (a) x (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/154*1)\/(9\/48).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2. Suppose -2*r - 1 = -5. Let a(l) = -l - l**2 + r*l - l. What is -2*a(c) + 3*u(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -12, 0, -5, 411, -4\/5 in ascending order.\nAnswer: -12, -5, -4\/5, 0, 0.4, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4082*q. Let u(i) be the third derivative of -i**5\/15 + 2*i**2 - 7809*i. Determine t(u(z)).\nAnswer: 16328*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/8)\/((-4)\/(-216)). Suppose 3*i + 2*i + o = 0. List the prime factors of (i + -1)*(-4)\/8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34020 - 212?\nAnswer: -34232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 + 0 = 0. Suppose -4*l - 251 = 65. Let z = l - -86. What is the highest common divisor of z and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9814599251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 25 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2259 and 39\/2.\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 5, b: 3, x: 3, z: 3}. What is prob of picking 1 t and 2 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054770594 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, -0.09, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222221030 - -202?\nAnswer: 222221232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1448 + -1453. Sort -2\/17, 0.2, 0.4, g, -3.\nAnswer: g, -3, -2\/17, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 4*i + 9, 27*l + 12 = 31*l + 5*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -594.0127 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/7))**(-2\/79)*((h*h*h**(-9\/7))\/h)\/(((h*h**(3\/8)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-3019\/4424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 53*y + 3. Let a(t) = 244*t + 14. Let k(m) = 3*a(m) - 14*o(m). Let l(n) be the third derivative of -n**5\/15 + n**2. What is l(k(d))?\nAnswer: -400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/27*3)\/(2\/3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 22. Suppose 0 = 5*s - 4*s - 0*s. What is the remainder when x(s) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p. Let o(u) = u - 6. Let z(j) = 1. Let w(f) = -o(f) - 6*z(f). Give w(y(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 + (10 - (-4 + 7)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/40)\/((-4)\/(-10)). Let n = 67 - 62. Which is the closest to 1? (a) -0.4 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abhhuuhhahhhh. Give prob of sequence ba.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41\/5 - 241\/30. Let p(o) be the second derivative of 0 + o - 1\/3*o**4 + 0*o**2 + x*o**3. Find the second derivative of p(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.5 in -2, -1, -39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1368 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 1.2, 20, 1, 5.\nAnswer: -1\/16, 1, 1.2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 12*w + 268 = 0, 37*w - 93 = -8*u - 38*w + 113*w - 34*w + 27 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) 2 (b) 1\/3 (c) 0.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/9)\/((-3)\/(-36)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2201294, -4402537, -6603780, -8805023, -11006266, -13207509?\n\"Answer: -2201243*g - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -367180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6420249 and 5836590.\nAnswer: 64202490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105314136 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4241729 (base 11) to base 3.\nAnswer: 112001110201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 + -198. Calculate the remainder when p is divided by ((-2)\/(-4))\/(4\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(297))\/sqrt(11))\/((1*sqrt(81) + sqrt(81))\/sqrt(9) + sqrt(9)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, -30, 1\/3 in ascending order.\nAnswer: -30, -2, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 = 2. Let b = x + -2. Let y(p) = 4*p**2 + 0*p - 1 - 5*p - 2*p**3 + 3*p**3 + 6. Determine y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**6\/15 + 2*t**5\/25 - t**4\/5 + 177. Factor x(o).\nAnswer: 2*o**3*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/5 + 74*r**3\/5 + 21904*r**2\/5 - 1215672*r\/5.\nAnswer: -2*r*(r - 74)**2*(r + 111)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3.4048 (b) -0.4 (c) -3\/8 (d) 3 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/7483221 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Product of 512949 and 0.4.\nAnswer: 205179.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 + -2. Let o = 0.9 + y. Let p = -122 + 856\/7. Which is the closest to p? (a) 4\/3 (b) o (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/15 - 16*w**4\/15 + 8*w**3\/5 + 4*w**2\/15 - 26*w\/15 + 4\/5 = 0. What is w?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1\/95, -3\/2, -1\/12, 0.\nAnswer: -3\/2, -3\/5, -1\/12, -1\/95, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02501081 to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1518*v**2 + 766*v**2 + 893*v**2 + 1 - 1.\nAnswer: 141*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -1, 8, 21, 38, 59, 84?\n\"Answer: 2*l**2 - l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 9*j - 24900. What is j rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h**3 + h**2 - 3*h - 2. Let m be w(-2). Let j be m\/(-3) + 4\/6. What are the prime factors of 7\/(-21) + j\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/69 + (-576)\/(-2898). Let u = 48 - 44. Which is the biggest value? (a) u (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 7*o - 8. Let t be w(-5). Let n be 1\/4 + 403\/t. Let d(k) = k**2 - 6*k + 3. What is the units digit of d(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u - a + 5*a, -4*a = u - 7. Let s be (-3 + (u - 0))\/2. Suppose -j - 2*j = 4*m - 288, 2*m + 4*j - 134 = s. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*a + 4, a + 0*a - 3*z = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from xexexetteyetyekkex.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 - 31188*n**4 + 16932*n**4 - 1 - 173*n**2 + 16118*n**4 + 45*n**2 wrt n.\nAnswer: 44688*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3 + 41812*o**2 + 83612*o + 41804 = 0?\nAnswer: -10451, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192*m**2*z + 815*m**2 wrt z.\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -86. Suppose 0*y + g = 5*y. Suppose -8 = -2*t + y. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3847 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(11 + (-846)\/54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from pklenezn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -142992?\nAnswer: -1\/15888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/350)\/(15\/(-21))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 4504*w - 27336. Give o(6).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9262461 divided by 1317.\nAnswer: 7033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -206 (base 7) to base 14\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from wwwwuwuuwuw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w. Let r be 5\/(15\/6) - 2. Let p = r + -2. Let x(o) = -2 + 3 + 4 - o - 6. What is p*x(h) - y(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1932 = -61*c + 4*y, 3*y + 31 = 4*c + 144 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, a: 4}. What is prob of sequence xxx?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 7*x - 3. Suppose -m - m - 4*s = -6, 5*s = 4*m - 12. Let j be (5 + -3)*m*1. Let q be v(j). What is the highest common factor of 12 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*y - 114, -95 - 15 = -3*p + y. Calculate the remainder when 137 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:37 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44919, -49389, -53859?\nAnswer: -58329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {d: 1, j: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3991 - -3901) + (190 - -3).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = 0. Let w = 1 + 1. Let o = 3 + 1. Solve 3*g = r, -15 = -w*m - 3*m - o*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 4. What is k(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 175628?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1161 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4\/13)\/s)\/(s**(-3)\/s)*(s\/(s*s*(s**(-3)*s)\/s*s*s))**(37\/3))**(-41) assuming s is positive.\nAnswer: s**(-1968\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -454221292 divided by -2?\nAnswer: 227110646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 2336?\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-4\/25))**(2\/13) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 45*u**2 + 126*u - 1153. Give v(43).\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/33 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76437 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11172 * 0.1.\nAnswer: 1117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2376 and -61\/2790.\nAnswer: 368280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448 + 438 + (-4 - 0 - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*z + 14*z - 8*z**4 - 5 - 19*z wrt z?\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:51 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*p + 3, -3*p = 3*v - 6*p. Suppose v*r = 8*r - 95. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56580889 plus 0.1302?\nAnswer: -56580888.8698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/17)\/d)\/(d*d\/d**(-1\/11)*d*d))\/(((d\/((d*d*d**5)\/d))\/d)\/(d*d**(-10)*d)) assuming d is positive.\nAnswer: d**(-1337\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 3*w**2 + 2*w**2)*(-4 + 4 + 5*w) - 3*w**3 - 14*w**3 + 5*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -72*x**2 - x + 7*x + 140*x**2 - 67*x**2 + 8. Let l be b(-4). Is 55 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 86*b + 29. Let a(t) = -t**3 - 5*t**2 + 10*t + 22. Let o be a(-5). List the prime factors of n(o).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**3\/6 - 66*u. Let z(a) = -2*a + 72. Let q(w) = -4. Let v(r) = -72*q(r) - 4*z(r). Give v(j(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - x**2 + x**2)*(-4 - 1 + 6)*(2*x - 2*x - 3*x)*(0*x - 5*x + 2*x).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:42 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 + 43 = -5*s. Let u = s - 62. Let t be 3\/(-6) - 7\/u. What is the third smallest value in t, 2\/9, -2\/3, 6\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*a**3*h**2*v**2 - 6*a**3*v**2 + 1729*a*h**2*v**3 - 12*a*h*v**2 + 43*h*v**3 wrt h?\nAnswer: -38*a**3*v**2 + 3458*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1842446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -331.4 - -372. Let g = z + -45.6. What is the smallest value in g, 124, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-276) - (-45)\/90 and -101\/30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -168, 3.\nAnswer: -168, -9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7 - (-9 - (-7 + 3))) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**3\/6 + 9*t**2\/2 + 2*t. Let o be z(7). Solve 3 = -x + o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -795.86659?\nAnswer: 318.346636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 29. Let o = -10 + 22. Let t = o + -10. Solve -s*v = -6*v + 3*k + 12, 4*k + 16 = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**2 + 6*q**3 - 30*q**2 + 18*q - 24*q - 9. Does 15 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 5, -6, -21, -40, -63?\n\"Answer: -2*t**2 - t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 10 = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, 3, -2\/7, -5.3?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57712523, 57712521, 57712519, 57712517, 57712515, 57712513?\n\"Answer: -2*y + 57712525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.766 + -5.706. Let s = 1.99 - -0.01. Let n = s - 7. Which is the closest to g? (a) -0.5 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:00 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -10 (b) -1\/10 (c) -0.07 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40910533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-18))\/((-2)\/5)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (7 - -8) + (75 - (-22 - -9)) - -15.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/((-15)\/(-50))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/9, -6, 2\/29, -1\/8?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (55\/((-8800)\/(-64)))\/(30\/375). Factor 4\/3*g**4 - 4\/3*g**3 - 88\/9*g**2 - 4 + 2\/9*g**b - 34\/3*g.\nAnswer: 2*(g - 3)*(g + 1)**3*(g + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 5:12 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:27 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 49889793.4 to the nearest ten thousand.\nAnswer: 49890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 13.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 + 6 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:18 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56901 and 16.67.\nAnswer: 948539.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/20 - 5*s**4\/12 - s**3\/3 - 5*s**2\/2 - 8*s. What is the tens digit of g(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -352.5 - -352. Which is the smallest value? (a) -3 (b) r (c) -5\/6 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -57. Let l = 24 + i. Suppose 90 = 5*x + 4*o, 0*x + 39 = 2*x + o. Which is the smallest value? (a) -3 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 + 2. Let v = -0.9845 + -0.0155. Which is the closest to 1? (a) 3\/7 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*p + 3 = -12, 5*z = 2*p + 27. Let n be (4 - z)*5\/(-3). Suppose 0*l - 370 = -n*l. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.033912s to days.\nAnswer: 0.0018753925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.212 rounded to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = p - 5*f, 2*p = 3*p - 3*f + 6. Suppose -2*r + 4 = -p. Let n = -95 + 95.5. What is the second biggest value in n, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (374\/(-176)*(-152)\/133)\/((-12)\/24)?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b - 4. Let x = 9 + b. Solve -x*d + 2*d = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 9. Suppose 42*i + o = 37*i + 8, 0 = 3*i - o - 24. Solve -4*j + 5*h - y + i = 0, 0 = -2*j - 4*h - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -66 (b) -1 (c) -24\/419\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*t + 503 = 6*j, -229 = -2*j + 3*t. Suppose -118*d = -j*d + 4348. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-4 + 18) - -1. Is 20\/329 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1203*x - 15. What is c(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*o = -68*o + 72 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 + 89. Let k(p) = 5*p**2 + 6*p**q - 10*p**2. Let s(i) = -2*i**2. What is k(s(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from hjppocr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2 = 48. Let s(p) = p**2 + 11*p + 5. Let i be s(t). Suppose 0*v - 5 = 5*v. Sort v, i, 5 in increasing order.\nAnswer: i, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 63*o - 399. What is i(-20)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 8. Suppose -k - 4 = -4*l. Suppose l*v + 8*c - 123016 = 4*c, -3*v + 4*c = -122984. What is v rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70090\/(-1720) - (-15)\/4\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/5, 2, -10 in increasing order.\nAnswer: -10, -1\/5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 2*t**2 - 3*t. Let p = 0 + 3. Suppose -4*r - f - p = -10, 0 = -5*r + f + 20. Let c be b(r). Solve c + 4 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 667\/10 + -2397\/35. Let m be -1 - (0 + 2 - 326). Let l = m + -4537\/14. Calculate the common denominator of l and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -215 - 1) + -1 + -1. Let c = y - 110. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -352*g + 1. Is j(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 3}. What is prob of picking 3 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1671327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -758192 divided by 1660\nAnswer: -189548\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 11. What is the third derivative of x*s**2 + s**6 - 7*s**2 + 3*s**2 wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {o: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 105.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**2*z**3 - 28*s**2 + 429841*z**3 - 5933*z**2 wrt z.\nAnswer: 18*s**2 + 2579046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1015 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16024 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 80 = -0*m. Let g be 6\/8 - 4\/(-16). Calculate the least common multiple of (-3 - -5) + (g - 1) and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551905 by 110381.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(235\/1034)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -3\/7, -0.03?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzxq when four letters picked without replacement from {n: 1, x: 4, q: 4, f: 7, z: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (417\/(-278))\/(2\/(-204))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -84. Let t = f - 29.1. Put t, -2\/11, 4\/7, -1\/3 in ascending order.\nAnswer: -1\/3, -2\/11, t, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -232, -341, -506, -685, -836, -917, -886?\n\"Answer: 7*j**3 - 70*j**2 + 52*j - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/130)\/((-9)\/(-12270)). Let t = -173 + 47. Let f = t + b. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4746)\/1155)*80\/(-6)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38673, -38608, -38543, -38478, -38413?\nAnswer: -38348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-68) - (-1 - 1))*14*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 15 = -s, -4*v = 3*s + s. Suppose p - 2*n - 9 = 0, p + 18 = v*p - 2*n. Suppose p*y + 15 = 4*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325169 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 4. Let m(n) = -2*n - 2. Let y(z) = -4*b(z) - 9*m(z). Let i = -1 + -3. What are the prime factors of y(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-224)\/(-36))\/(-1) + (-11 - -17). What is the closest to 0 in -0.7, 0, c, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17775 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 3*c, -2*q = 5*c - 114 + 103. Solve 0 + 0*m**2 - 3*m + 9\/4*m**q - 3\/4*m**4 = 0 for m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.1 (c) -0.03 (d) -6.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3) - (-1)\/3. Let u be 644\/(-5408) + (-29)\/(-232). Which is greater: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/5 - 19*n**4\/5 - 1401*n**3\/5 - 3141*n**2 - 7020*n = 0. Calculate n.\nAnswer: -15, -3, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*i**3 + 1 + (2*i + 0*i + i)*(41*i - 41*i - i**2))*(34 + 37 + 50) to y + w*i + a*i**3 + d*i**2 and give a.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1138 + -43199\/38. Suppose 21 = -s + 4*j + 6, -4*j + 16 = 0. Calculate the common denominator of s - ((-860)\/(-88) + -6) and r.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16506 = -3*u + 3*g, 0 = u + 4*g - 0*g - 5492. What is u rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 882179 and 0.4.\nAnswer: 352871.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*a = -2, 0 = -7*y - 2*a - 185883 + 185805 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97618 is divided by 316?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) + 439\/(-7). Let v = 45 + y. Let g be 6\/27 - 194\/v. Calculate the greatest common divisor of 66 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106\/11615 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffgh when four letters picked without replacement from ffcghg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -1 - (23 - 25) - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/4 (b) 1\/20 (c) -2\/7 (d) -1.9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12712 divided by -102?\nAnswer: 6356\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -4*d**2 + 2. Let z(i) = 2*i. Let u(h) = 6*r(h) + 22*z(h). Let v(o) = o**2. What is u(v(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2599 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*l - 5*l - 4, -5*f + 8 = -l. Let s be 3 + f*87 - 4. Suppose 4*q = -c + s, 74 = 5*q - 2*c - 152. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1515004, -3030015, -4545026?\nAnswer: -6060037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffc. What is prob of picking 1 f and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7 + 2 = 5*v, -5*v - r = 21. Let m be (3\/4)\/(-8 - v). Let t = -40 + 35. Which is the nearest to -2\/5? (a) -0.5 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -27, -51, -75, -99?\n\"Answer: -24*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 17*o**2 - 30*o + 4. Let m be a(15). Solve 8 + 5 = -4*d - z, 2*z = -m*d - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124343671?\nAnswer: 53, 2346107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2 - 110278*o + 110280 = 0.\nAnswer: -55140, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3 - 3)*(-3*d + 4*d + d) + 2*d**2 + 4*d - 4*d + (0*d + 7*d - 3*d)*(-5*d + 4*d + 0*d) + 0*d**2 + 5*d**2 - 4*d**2 - 8 + 8 + 4*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:03 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-16)*(-13)\/3. Let m = 3 + k. Let s = 244.8 + -244.2. Is s at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(378) - 6*sqrt(378))\/sqrt(9))\/(-3*(sqrt(6) + sqrt(24)) - (sqrt(6) + sqrt(726)*3 - sqrt(6)))*4.\nAnswer: -40*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**3\/6 + 8*o**2 + 3*o - 3. Let z(a) be the first derivative of w(a). What is the tens digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278012 is divided by 237.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 110600, 442359, 995280, 1769363?\n\"Answer: 110581*v**2 + 16*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -572\/5*k - 4\/5*k**3 - 484\/5 - 92\/5*k**2.\nAnswer: -4*(k + 1)*(k + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = 5*l + 22, 557*l - 561*l - 5*o = 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -3 (c) 0.3 (d) -907 (e) -2\/5 (f) -957\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247728?\nAnswer: 2, 3, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -26300\nAnswer: 63\/26300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22127.\nAnswer: 7, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (303 - 264) + 80 + -4.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(sqrt(175) + -1 - sqrt(175))*-3 + -2*(sqrt(175) - ((sqrt(175) + (sqrt(175) - (-5 + sqrt(175) + -2)) - sqrt(175)) + sqrt(175))))**2.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 1, n: 1, g: 1, p: 3}. Give prob of sequence pnu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 2*q. Let l be a(2). Let u(r) be the first derivative of 2\/3*r**3 + l*r + 2 - 2*r**2. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmr. What is prob of picking 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -17. Let p = -1 + t. Solve -p*u + 8*u - 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**6\/3 - 16*f**3\/3 + 14. Find the third derivative of r(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17388303.\nAnswer: 3, 31, 59, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 1. Let b be p(3). Let o = -5 - b. Let u = -1 + o. Solve -4*n - 3*g = g + 4, 2*n + 5*g = u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52132 + -10104?\nAnswer: -102240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43894 is divided by 354?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 413 = -4*w, 3*w = -5*i - 2*w + 440. Let u = i - 91. What is the closest to 0 in u, -4\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 9*v - 835. Let y be (v + -4)*2\/(-6). Let j = y + -40. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/12 and -55\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**44*k*k)*k))\/k)\/(k*k*k**35*k*k)*(k*k**(-6\/5))\/k**(-5\/12) assuming k is positive.\nAnswer: k**(313\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 2*d - 3. Let j be v(3). Suppose 3*b = -j*b + 6. Suppose -4*g = -3*i - 0*g + 9, -b*i = -g - 6. What is the smallest common multiple of i and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tta when three letters picked without replacement from aajptotjaopaqttotat?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23627635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2944 and 3712.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -32. Differentiate 0*i**2 + 6 + c + 0*i**2 + 13*i**2 wrt i.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002326 rounded to five decimal places?\nAnswer: -0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -w + 111, w - 105 = -0*w - 3*g. Let t = w + -119. What is the remainder when (5 + (t - -6))*(37 - -1) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 2*y - 4. Let f be c(-4). Let k = f + 16. Solve -4*q = k*n + 40, -4*n - 15 = -q - 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 2:11 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) -3\/5 (b) 74\/13 (c) 0 (d) -0.1 (e) 9 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - v + 2. Let p be b(0). Suppose -w = 3*r - 8 - p, -40 = -4*w + 4*r. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*t**2 + 37*t**2 + 170*t**2 + 121*t**2)*(-t**3 + t**3 + t**3).\nAnswer: 287*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2262\/(-7917)*34\/(-5)*385\/44\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 900 + -9027\/10. Let h be ((-6)\/9)\/(1\/6). What is the common denominator of n and (-3)\/h*(-246)\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**22)\/m*m*m)**(-2) assuming m is positive.\nAnswer: m**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23139 + -41956?\nAnswer: -18817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 29, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3 + 51923*p**2 - 415432*p + 830896 = 0.\nAnswer: -51931, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -74787, -149575, -224363, -299151, -373939, -448727?\n\"Answer: -74788*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrnm when four letters picked without replacement from inhrrmg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 66 = -4*t + 13*t. Let a(b) = 8*b + 24. Determine a(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -132301213210?\nAnswer: -132301213211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooololl. What is prob of picking 2 o?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 1815.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -487 + 362.5. Let y = t - -124. What is the second smallest value in -4\/3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-3)\/((-27)\/(-3))*-3)\/(44\/(-572))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 68+0.1\nAnswer: 68.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101 (base 2) in base 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 72*j = -69*j - 8, 28 = 4*a - 2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**5))\/(s\/s**(-1\/4)))**41*s**(2\/9)\/(s**(-1)\/s)*((s*s\/s**1*s*s)\/s)**(-29) assuming s is positive.\nAnswer: s**(3527\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:44 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8*(h**(-3\/4)*h)\/h*h*h**6\/h*h**(-7)*(((h\/h**(-6\/7))\/h)\/h**9)\/(h**(-1))**21 assuming h is positive.\nAnswer: h**(535\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 6*i - 2*i + 0*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9*q - 8*q = -1280, 0 = 5*l + 4*q - 1621. Let w = 15 - l. Which is smaller: -307 or w?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m**2)*(-22*m**3 + 39*m + 19*m**2 + 23*m**3 - 38*m).\nAnswer: -2*m**5 - 38*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 739682 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkkrrrkrrkrrrrrrwrr. Give prob of picking 1 r and 2 k.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.38981 + 150864?\nAnswer: 150824.61019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11724989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001255059 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 269093 and 19193.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12954*o*s**3*x + 8*o*s**2 + 2657*s**3 + s**2*x**3 wrt x?\nAnswer: -12954*o*s**3 + 3*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + -5?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v + 8. Let m = -23 - -35. Suppose -4 = -4*f + m. Solve -r - 5*b - v = -5, 0 = -f*r - b - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u. Suppose u + 4 = -2*f. Let p be 6\/(-255)*(f + 7). Which is the closest to 1\/3? (a) p (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 13*s - 7. Calculate d(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 24 = 0. Suppose 0 = -2*l + q + i, -l + 5*q - 3*q = -1. Solve 3*v = -5*d + 10, 2*v + 4*d - d = l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/12 + 417*y**2. Let d(r) = 105*r. Determine c(d(l)).\nAnswer: -210*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/2 - 3053*a**3 + 73515*a**2\/2 + 302922*a + 495558 = 0.\nAnswer: -6118, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -591*r**2 - 56739*r - 310. What is k(-96)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = i, 9 = -0*i - 3*i - 4*q. Let z be i + 2 + 12\/2. Suppose -5*o = -0*o - 15. Solve -z*p - o = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -480?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(720)*-3.\nAnswer: -216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 divided by -31?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3.4688277\nAnswer: 5.4688277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -25, 66*l + 20743 = 2*r + 65*l. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, e: 4, u: 2}. Give prob of sequence uue.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.9332 nanoseconds in milliseconds?\nAnswer: 0.0007949332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*29\/((-12992)\/48)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140287571?\nAnswer: 140287571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 5*i**2 + i + 8. Let h be z(-5). Solve h*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54411080, -54411086, -54411094, -54411104, -54411116?\nAnswer: -54411130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*6\/(-48).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o + 29*o + 5*w = -8, -4*w - 2 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1126980 divided by -281745.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42*(1\/2 + 1). Suppose -2*f + 81 = -2*o - 3*f, -117 = 3*o + 3*f. Let k be -3 + (-86)\/(-8) + o\/56. What is the highest common divisor of k and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -25.77. Let h = -1.23 - k. Which is the smallest value? (a) -6 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*c - 30 - 15, -5*t = 3*c - 37. Let x = t - 6. Suppose 0 + 2\/7*b + 4\/7*b**x + 2\/7*b**3 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (655\/6681)\/(10\/(-4))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + p - 6143 = -3*p, -4*p - 873 = -d. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528168531?\nAnswer: 3, 41, 699617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-6)\/2 - 17). Suppose 2*j = -5*r, 2*j - 3*r - 2*r = x. What is the second derivative of 9*h**3 - j*h - 2*h - 22*h**3 wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*t = -4780, a - t - 1442 = -254. List the prime factors of a.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848938311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -600 + 647. Suppose -m*d + 65*d - 14742 = 0. Is 91 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 3 - 4 - 9 - 4. Let o be n(10). Factor 6*v**2 + o*v**2 - 3*v**2 - 10*v + 12 - 5*v.\nAnswer: 3*(v - 4)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, -2687, -6420, -11977, -19532, -29259, -41332?\nAnswer: -55925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 4)*(-80 + 23 + 27)*(-2*y + y + 0*y) as g + m*y and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274*f**5 - 24*f + 2 wrt f.\nAnswer: -5480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(30)\/((sqrt(6) - sqrt(6)*-2)*-2) - (sqrt(45)*1 - (-2 + sqrt(20)\/sqrt(4))**2).\nAnswer: -43*sqrt(5)\/6 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158764 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54563616 and 75024972?\nAnswer: 600199776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y)**47\/(y**(-3\/5))**(-22\/5) assuming y is positive.\nAnswer: y**(1109\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*f + 702803, -4*v + 5*f + 1343990 = -61615. What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63017266 to the power of 1\/2, to the nearest integer?\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 0*u**2 + 348*u**3 - 360*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000050725594 rounded to seven dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -10) + (5 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -80, -262, -600, -1142, -1936, -3030, -4472?\n\"Answer: -8*k**3 - 6*k**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267498 and 1232.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*w + 3*w + 0*w)*(4*w - 5*w**2 - 4*w) + 3*w**3 - w**3 - w**3 - w**3 - w**3 + 4 - 2)*(25 + 18*w - 25) as c*w**3 + y*w + q + s*w**2 + m*w**4 and give m.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(1\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 2*k**7\/315 - k**6\/120 - k**5\/180 - 5*k**2\/2 - 5*k. Let p(s) be the first derivative of v(s). Factor p(a).\nAnswer: a**2*(a - 1)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 27*p to r*p + t and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(297\/22)\/27.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14123380 and 35\/2047.\nAnswer: 1256980820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 82908 divided by 6\nAnswer: 13818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 11*q**2 + 72 - 31 - 41.\nAnswer: -11*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -28475802.\nAnswer: -28475802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7639504 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 17216?\nAnswer: 17216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -225*s**2 + 1320*s - 8. Determine i(6).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2801*p**2. Let o(h) = -8*h. Give o(c(i)).\nAnswer: 22408*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l - 4*k = -63*l + 4, 5*k - 26 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2466 + 3956. What are the prime factors of c?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9084 is divided by 4531.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044 = 21*r - 3*u, -17*r + 2*u + 1419 - 2262 = 0 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from sdzzidgqiqzq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 871.16 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -245*u - 183. Is x(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 i when three letters picked without replacement from {x: 2, i: 5, r: 1, a: 3, f: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, y: 4, p: 4}. Give prob of sequence py.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7470597, 7470600, 7470613, 7470642, 7470693?\nAnswer: 7470772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 0.3989\nAnswer: 22.6011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from yxnxfou?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36321280 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 443329496 and -12347.\nAnswer: 443317149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) -3\/5 (c) -5\/11 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4\/5 + 5230164*q**3\/5 + 1709666081752*q**2\/5 + 341930078256*q - 683864340640 = 0.\nAnswer: -653770, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -32*s - 221. Let n be b(-7). Suppose -4*r + 1267 = n*y, -71*y - r + 423 = -70*y. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04360689 to four decimal places.\nAnswer: 0.0436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17908646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/34)\/((-629)\/(-128316)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 times 17205?\nAnswer: -82584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(h*h**(2\/5)))\/h))\/h)\/h**3*(h\/(h*h*h*h**(-2\/3)*h))**(-31))**(-32\/5) assuming h is positive.\nAnswer: h**(-33952\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3038*j = -5*q + 3053*j + 705, -3*q + j + 39 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19350 and 107586?\nAnswer: 2689650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:20 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibiiibpbio. Give prob of sequence pio.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*d + 101*d - 302*d + 100*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -4. Let i = -1 - -54. Suppose 83 = 4*h + 2*m - i, -136 = -4*h - 3*m. What is the remainder when h is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/155 - -64\/155. Solve 2\/5*l**2 + 0 - z*l = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7773198 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23244336 divided by -9621?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 301 + 78 = -3*k, 0 = -j - 1. What is the highest common divisor of 342 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-1 + (-1854)\/(-465)). Let m = w + 296\/1085. What is the third smallest value in -4, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 835 - 833. Let j be (1\/(-3))\/((-259)\/126 + p). Solve 3*q - 9 = 2*w, q - j = -q + 5*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 1, -39 in ascending order.\nAnswer: -39, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 21*n - 2*n)*(-3 + 0 + 2) - 1 + 6*n - 6 + 8 to the form f*n + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 949806993 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(12\/7)*d*d*d**9)\/(((d**(-6\/5)\/d*d)\/d)\/d**(-5\/4)) assuming d is positive.\nAnswer: d**(1573\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -3387.7406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:51 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 104. Suppose -b = -6*u + 3*u. Let p = -22 + u. What is the lowest common multiple of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - sqrt(11))*4 - (0 + sqrt(44)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 152965 = j, 4*j = 7*d + 7*j - 356929. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k**2 - k - 1. Let f be x(-1). Let h = 2 - f. Let t(y) = y - 2. Let a(u) = 4*u - 1 + 1 - 7. Calculate h*a(q) - 7*t(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*a = -4, v + 4*a = 3*a + 7. What is the lowest common multiple of 156 and v?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2279*t + 2466 + 319 = 506*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/7))\/(f*f**(1\/7)) assuming f is positive.\nAnswer: f**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*y**2 + 146 - 146 + 3 - y**2 - 3 + (y + 4 - 4)*(2*y - 5*y + 2*y) - 3*y**2 + 6*y**2 - y**2.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-5) + 1)*385\/154.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {b: 2, a: 1, r: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*i - 798*i + 265*i + 266*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 19*j**2 + 20*j - 7. Give q(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2)\/(-2) + 7. Let s be ((-65)\/10 - -5)\/(1\/(-2)). Suppose -s*x - g = -43. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2376 and -47\/6732.\nAnswer: 40392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 5. Let j(n) = -n**2 + 1. Let x(o) = 6*j(o) + q(o). Let v(d) be the first derivative of x(d). Let u(c) = -2*c. Calculate u(v(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 6. Let c be n(14). Let v = -25 + c. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -61 in descending order.\nAnswer: 2, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101\/312 + 2\/39. Suppose -d + 5*i - 13 = 13, 2*d = -4*i + 18. What is the closest to d in 1\/6, w, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315.08348549 + -18269.40353249. Let w = -17955.39 - d. Let p = -1.07 - w. What is p rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 3544.\nAnswer: 14176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 333*c**3 + 9389*c**2 - 19773*c + 10052 = 0. What is c?\nAnswer: -28, 1, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 14) in base 9?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let f(c) = 7*c + 5. Let d(r) = f(r) + 4*w(r). Let u(m) = -17*m - 151. Let n be u(-9). Calculate the remainder when d(n) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.5? (a) 5 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 + 8 = -5*s, 0 = -3*s - 3. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 4. Let x be a(7). Let u be 82 - x\/(3\/(-2)). Let m = -35 + u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/35*-5*5*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)*z**(-4)*z*(z*z**(-5\/2))\/(z*z\/((z*z**(1\/7))\/z)) assuming z is positive.\nAnswer: z**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8.9506 times -102\nAnswer: -912.9612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/32 in -3, 12, 0.5, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2598*n. Let w(t) = 24*t**2. What is w(y(m))?\nAnswer: 161990496*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 2. Let j(p) = p**3 + 3*p**2 + 10*p + 8. Let u be (-2)\/((-7)\/(-2) - 4). Let r(f) = u*d(f) + 2*j(f). Factor r(o).\nAnswer: 2*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(16)\/sqrt(2)*-1 - (sqrt(48)*-1)\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23157\/7 - 92649\/28. Let c be (-6)\/(-10) + 2\/30. What is the fourth smallest value in 3, -3, p, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 6. Let o(z) be the second derivative of -z**2\/2 + 5*z. Let g(m) = 6*o(m) + r(m). Let c(v) = 3 - v - 3. Calculate g(c(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 35*k + 54. Let x be m(-30). Suppose 0 = 11*q + x - 2613. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:31 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -502 - -497. Let y(b) = b**2 + 3*b + 3. Give y(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -1\/2 (c) -4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkko when four letters picked without replacement from {o: 2, k: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5010 + -2692. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q + 7. Let s be b(8). Let n = -42 + s. Calculate the remainder when n is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -250, -1023, -2312, -4117?\n\"Answer: -258*y**2 + y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 1. Let c = -32 - -39. Let s(j) be the first derivative of j**4\/4 - 7*j**3\/3 + j**2\/2 - 3*j - 1. Let b be s(c). Determine m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9 - 11 = 0. Suppose 3*p - w*v - 43 = -10, -3*v = 4*p - 44. Let t(i) = 4*i - 2. What is the remainder when t(p) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggpaxx. What is prob of picking 1 p, 1 g, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyz when three letters picked without replacement from {c: 2, z: 2, d: 5, y: 4}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -228*q**2 + 5183*q - 20. Let o(m) = -m**2. Give z(o(b)).\nAnswer: -228*b**4 - 5183*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.96336 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1385\nAnswer: -2\/1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**3*f + 5*a**3*q + 469*a**3 + 3*a*f*q**2 + 10*f*q**2 wrt q?\nAnswer: 5*a**3 + 6*a*f*q + 20*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/10269?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13501806125*p**5 - 54006185200*p**4 - 40501261195*p**3 + 3117820*p**2 - 60*p = 0.\nAnswer: -3, -1, 0, 2\/51965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30b + 3?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 7, h: 1, r: 2, q: 2}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 47350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 o when three letters picked without replacement from ccooo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (6 - (22 - 6) - -11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-36)\/(-5) + (-16)\/(-20) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-2)\/(-96)). Suppose h = 4*f + 4*x, 5*f + 0*x - 38 = -3*x. What is the remainder when 36 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 4*b**3 + b**4 + 6*b - 5*b as f*b**4 + y + m*b**3 + a*b + t*b**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 132?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1447223323*q**3 - 30*q**2 + 30*q**2 - 1447223318*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r + 207 - 284 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a265a - 2?\nAnswer: -a265c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 3\/(-1) - -4 - -18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 0 (b) -4 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.3 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013 (base 5) to base 6.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 4*w, -7*w + 3*w - 5*r = -40. Let s = 7 - w. Suppose -3 = s*i - 1. Do -2\/27 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.53 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22230 - -22884?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 83*z + 6*z**2 - 114*z - 119*z - z**3.\nAnswer: -z**3 - 150*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -60, -35, 10, 81, 184, 325, 510, 745?\n\"Answer: m**3 + 4*m**2 + 6*m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281 divided by -3?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 75, -4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 70 + 9*y + 37*y - 7*y**2 - 7*y**2 + 16*y**2 = 0. Calculate y.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 8 + 3639024*p - 1819512*p - 10 - 1819510*p.\nAnswer: 2*p - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o*x**2 + 2740*o*x - 1797*o + 1 with respect to x.\nAnswer: -2*o*x + 2740*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 - 1.01. Let v = -9 - -8.6. What is the smallest value in b, v, 4\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(40)\/(sqrt(4) - (sqrt(4) - (sqrt(4) - (sqrt(36) - sqrt(4))))))\/(sqrt(20)\/(sqrt(4)*-1)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 24, -1, 6 in ascending order.\nAnswer: -2, -1, 3, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x. Suppose 0 = -2*b - b - 18. Let o be u(b). Is (-120)\/o*-3*1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15011 (base 12) to base 9\nAnswer: -44274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = t - 28. Suppose -l = -s - 5, t = -4*s + s + 4*l. Let q(h) = 3*h + s*h - 2*h. Let g(w) = w. What is g(q(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -195*l**2 - l - 10. Let u(z) = 194*z**2 + z + 10. Let w(x) = -2*u(x) - 3*y(x). Let j be w(3). Let t = -129 + j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1, 23, -14 in ascending order.\nAnswer: -14, -5, -2, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49, 27, 99, 167, 231?\n\"Answer: -2*y**2 + 82*y - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/15)\/(-4))\/(3\/3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 66 = 474*m - 472*m, m + 3*i + 15 = 0. Let x = -1 + 16. Solve -5*u = x, 8*p = m*p - 3*u - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 7*a + a)*(2 - a + 124*a**2 - 13*a**3 - 124*a**2).\nAnswer: 104*a**4 + 8*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13\/98 (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + p = 14, 186 = -145*a - 148*a + 290*a + 9*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -97 - -43 - -67 - 58\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 191, 215, 263, 341, 455, 611?\n\"Answer: t**3 + 6*t**2 - t + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6813774259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/12 - 5*i**3\/6 - 9*i**2. Find r such that q(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-4))\/(2\/136). Suppose -39*n + 2822 = 127*n. Calculate the common denominator of -11\/2 and 162\/(-76)*n\/y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1850 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**0*z)*z*z**(-3\/4))\/(z**1)**(-3\/5) assuming z is positive.\nAnswer: z**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - d + 4*d**3 - 6*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(4\/(24836\/(-21))). Let v = -562 - b. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*i**3 - 30\/7 - 34\/7*i**2 - 62\/7*i = 0. What is i?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Solve x*r + 2 = 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1669418 = -152*b - 1677170 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 569.7588 milligrams?\nAnswer: 0.5697588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.4, -262\/5, 1\/3, 0.1, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909*y**2 + 11*y**3 - 3*y**3 + 906*y**2.\nAnswer: 8*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b7560 + 51?\nAnswer: -4b750b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 9}. Give prob of picking 2 p.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/6 (b) -0.1 (c) 0.3 (d) -3507 (e) -483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxojjtoaxxaoaooeea. Give prob of sequence too.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1866954*u**2. Let a(c) = 97*c**2. What is a(r(h))?\nAnswer: 338095172097252*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.34\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19545158*n**2 - 4*n + 106539298 wrt n.\nAnswer: 39090316*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 1357209.\nAnswer: -1357209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/5, -3816, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15695 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 4*c + 1. Let p be (-4)\/6 + 2\/3. Let s be (-2)\/1 - -4 - p. Let v(g) = -1121*g - 1108*g - 1 + 1 + 2228*g. What is s*v(d) - w(d)?\nAnswer: -d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 7 = -2*x, -4793*m - 5*x - 30 = -4778*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6457 is divided by 2061.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 + 20*z**2 + 17*z + 9. Calculate m(-7).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -486128.48 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.85 + 5?\nAnswer: -13.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 + 840*z**4 + 80154*z**3 - 1726596*z**2.\nAnswer: 2*z**2*(z - 18)*(z + 219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3511.7 + -3681. Let v = -169 - q. What is the third biggest value in -5, v, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 185345704?\nAnswer: 556037112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 greater than 504442\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -835, 8, 15 in ascending order.\nAnswer: -835, 7, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 - 17*z**4\/2 + 67*z**3\/2 - 50*z**2 - 3210*z. Suppose m(s) = 0. Calculate s.\nAnswer: 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 169 - 65. Suppose w*p - 158 = -66*p. Suppose -x = 3*x - 40. Solve -x = -p*u - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 47*s + 565 = 61*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1, 44\/13, -0.5, -8\/3 in increasing order.\nAnswer: -8\/3, -0.5, 0.02, 1, 44\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -531 divided by -177\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2207, -2209, -2211, -2213?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q - 6927 - 4967 = -55*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**3\/3 - 4*d**2 - 12*d - 99. Give g(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*-1*(-354)\/(-15). Suppose 18*w - 20 = 22*w, 5*w - 870 = -5*x. Let u = x - y. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/5, -4\/7, -0.1, 2, 161 in increasing order.\nAnswer: -4\/7, -1\/5, -0.1, 1\/3, 2, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24075.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 166251*s\/4 - 166253\/2.\nAnswer: (s - 166253)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**3 + 48*l**2 - 2484*l + 2432 = 0.\nAnswer: -32, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -l + 66, 6*m - 2*m - 5*l - 3164 + 3110 = 0 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/17448 and 131\/132?\nAnswer: 191928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 28*u**2 - 132*u - 540.\nAnswer: 4*(u - 5)*(u + 3)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 times 51\nAnswer: 209.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3, 0 = 4*n + n - 4*y - 1102. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -210, -190, -150, -84, 14?\n\"Answer: q**3 + 4*q**2 + q - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 22*k + 4 + 20*k**3 - 12 - 15*k - 26*k**3. Determine u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3 = r, -2*g - 5*r + 62 = 73 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 m when three letters picked without replacement from vmmmmmvmgmmmimm?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iugi when four letters picked without replacement from {u: 1, i: 3, g: 11}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03580242 to three decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = -3*b, 3 = -2*h + 5*b - 0. Let t be 18\/(-8)*(-24)\/9. Solve -h = -n - t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -541, 0, 176116 in increasing order.\nAnswer: -541, -3, 0, 176116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-36)\/(-150))\/(4\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 6*h**2 + 7*h + 1. Let m be r(7). Suppose -m = z - 10. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 5*j - 68. Is n(-11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -53. Let v(b) = 659*b - 199. Is v(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2. Let a(r) = -3*r**2 + 14. Let t(d) = -2*a(d) - 18*s(d). Let c(m) = -m**2. Calculate t(c(p)).\nAnswer: 6*p**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 - 7*r**2 + 20*r - 8. Let l be z(4). Suppose 3*t = 9*t - l. What is the remainder when 140 is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2587 = 13*b - 6695. What is the remainder when b is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {b: 1, y: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 20 = -2*g, -2*g - 8 = 3*k - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 3, -4, 22 in increasing order.\nAnswer: -4, -3, 0, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -29311 <= -29117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/5))\/(g\/((g\/(g\/(g**(2\/15)\/g)))\/g)*g)*g**(-1)\/((g\/(g\/(g\/(g**(2\/19)\/g))*g)*g)\/g))\/(g**(-12)*g**(2\/23))**(8\/3) assuming g is positive.\nAnswer: g**(175718\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*1\/(-105))\/(4\/2). Let b(l) be the second derivative of 0*l**6 + s*l**7 + 0*l**3 + 0*l**4 - 3*l + 0*l**2 + 0 + 0*l**5. Suppose b(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192684400 rounded to the nearest 1000000?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/7 less than or equal to -212545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*(-4 - -6). Let x be (-2)\/((-6)\/9) - c. Factor x + 2\/9*l**2 + 0*l.\nAnswer: 2*l**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -190, -484, -908, -1462, -2146, -2960?\n\"Answer: -65*d**2 + 31*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-24 - -10 - 1) + 24 + (-2 - -23)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -255653\/61040 - -3\/3815. Find the common denominator of -5\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9351 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 145\/45 + 2\/(-9). Suppose -4*f + 4*h + 648 = 0, -8*f + 3*f + d*h = -814. Suppose 0 = 5*w - w - f. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 - 192745224?\nAnswer: -192744753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1287149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 + 46*i - 4. Let v be d(6). Suppose -v*u + 6528 = -86*u. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from cefefwfkeeffecnckne?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 53. Determine z(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z - z + 2*z + 1. What is l(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in 0.1, -1\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5949342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z + 0*z)*(19*z - 43 + 43)*(-436 + 854 + 512 + 1359).\nAnswer: 86982*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 - 8*l**4 + 4*l**3.\nAnswer: 4*l**3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 363*m - 3*m**2 - 2*m**2 + 363*m + 3*m**2.\nAnswer: -2*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509 - 605 = 24*u. Which is the third biggest value? (a) u (b) -39\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 26 + 2 = 0. Let w be (-2)\/(-4)*0 - l. Is 4 a factor of 2\/w - (-25)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2933558.\nAnswer: 2, 23, 63773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, 741, 0 in ascending order.\nAnswer: -356, 0, 741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3 + 3*d + d - 3*d. Let h be q(6). Let a(n) = -4*n**2 + 2*n + 4. Let c(u) = 7*u**2 - 3*u - 7. Give h*c(b) + 5*a(b).\nAnswer: b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -137. What is the third smallest value in 3, 2\/7, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101)\/9 + (-4)\/3 + 70\/45?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*i = -2508, -29*s + 2*i = -27*s - 1254. Calculate the highest common factor of s and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*o - 5 = 0, 0*p + 4*p + 13 = -5*o. Let f(u) = u + 7. Let y be f(p). Suppose y = -7*n + 2*n + 45. Calculate the highest common factor of 63 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848.5251 centuries to millennia.\nAnswer: 84.85251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.543196 litres to millilitres.\nAnswer: 9543.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-5 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2491779, -2491878, -2492043, -2492274, -2492571, -2492934?\nAnswer: -2493363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.55 in 0.5, -0.4, 3\/4, 1.4, -2\/7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2. Let h(d) = 7*d**2 - 14*d - 14. Let v(j) = -2*j**2 + 5*j + 5. Let r(w) = -5*h(w) - 14*v(w). Determine b(r(x)).\nAnswer: 98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 != 5872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 - 157 + 71 - 45 - i**3 - 52 + 2*i**2.\nAnswer: -i**3 + 2*i**2 - 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, p: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236881340?\nAnswer: 2, 5, 2467, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -63, -241, -595, -1185, -2071, -3313, -4971?\nAnswer: -7105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*q - 0*s + 23, 20 = 4*q + 2*s. Solve -q*x = -0*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.449 - -0.049. Which is the biggest value? (a) 7 (b) -5 (c) m (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7*s = -2*s - 295, 3*s = 0. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (3 - -2 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 11a0?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 13, -2, -27, -62, -107, -162?\n\"Answer: -5*w**2 + 10*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.02878, 2, 3 in decreasing order.\nAnswer: 3, 2, -0.02878, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3267945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 905.01 - -639201.\nAnswer: 640106.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-30))\/((-1)\/(4 + -1)). Let v(t) = -3*t**2 + 3*t - 5. Let w(r) = -r + 1. What is l*v(h) - 4*w(h)?\nAnswer: 3*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4 - 344*o**3 + 6684*o**2 - 32704*o + 26368 = 0.\nAnswer: -103, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3247, 6445, 9643, 12841?\n\"Answer: 3198*k + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxgggxgggg. Give prob of sequence ggx.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**5\/4 + 17*b**4\/4 + 33*b**3\/4 + 23*b**2\/4 - 1 = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*3*4 + -3*(sqrt(65) + (sqrt(65) - (sqrt(65)*-5 - sqrt(65)))) + sqrt(65))\/((sqrt(30)*1*1)\/(sqrt(6) + -2*(sqrt(6) - sqrt(24)) - sqrt(6))).\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 317 + 1 + (-7)\/1. Suppose -5*f + 739 = -w. Calculate the highest common factor of 30 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h + 13*h**3 - 18*h - 10*h**3.\nAnswer: 3*h**3 + 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282183.\nAnswer: 7, 137, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 72*v + 144*v - 9*v**3 - 56*v + 5*v**3.\nAnswer: -4*v**3 + 162*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812 and 928.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*o + 11*o - 40, 0 = 4*o - 16. Suppose 114 = l + 2*l. What is the remainder when l is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5410 - 15?\nAnswer: 53b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 8. Let q(g) = -g. Let v(y) = -m(y) - 3*q(y). Let n be v(14). Solve 2*l = n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 3*m**2 + 2*m - 3. Let t be j(2). Let z(c) = -3*c. Let v be z(-1). Suppose t*f - 8 = r, -6*r = -3*f - v*r. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/678 and -23\/35814.\nAnswer: 4046982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3082 is divided by 537.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 232 = 71*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 112, 90, 34, -74, -252, -518, -890, -1386?\n\"Answer: -3*d**3 + d**2 - 4*d + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 10.873.\nAnswer: 12.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 363 = -7*t. Let s = t + -11. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(-3*l - 2*l + 3*l)*(0*l**2 + 2*l**2 - 7*l**2 + (4*l - 4*l - l)*(2 - l - 2)).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245174 is divided by 9076?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 32, 0, -0.5, -1\/75, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24881 and 8771?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101, -106, -127, -170, -241, -346, -491?\n\"Answer: -g**3 - 2*g**2 + 8*g - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639, -644, -649, -654, -659, -664?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = 17*d - 1753993. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 44699763?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121.3 + -120.3. Let l = -2 + 9. What is the nearest to 13 in l, -1, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99)*-2 - sqrt(99)))\/(sqrt(1089) - (1*sqrt(1089) - sqrt(1089))))**2*3 + (0 + 1 + (sqrt(704) + sqrt(704) + 0)**2)*1.\nAnswer: 31419\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 + 20)*(0*b + 0*b + 2*b) + 0*b + 2*b - 4*b.\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1653, 1438, 1091, 618, 25, -682?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*x - 18 + 1306, -3*q = -4*x - 804. Suppose 208 = 4*v + 4*z, -2*v - 3*z = 3*v - 260. Calculate the highest common divisor of q and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62577358113 + 58*j - 62577358113 - 20*j**2 - 58*j.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/9 + 11678*i**2\/9 - 3892*i\/3 = 0.\nAnswer: 0, 1, 5838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)\/sqrt(176) + sqrt(60) - ((-4*sqrt(540) - sqrt(540)) + sqrt(540) + sqrt(540))\/sqrt(9))\/(1*sqrt(12)*2 - 6*sqrt(768)))**2.\nAnswer: 1445\/33856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -216658 minus -0.19?\nAnswer: -216657.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 715237, 5721886, 19311367, 45775096, 89404489, 154490962?\nAnswer: 245325931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1946961782 - -1.1947. Round k to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84730 + -50800. What are the prime factors of f?\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)\/(-4*4\/(-8)). Let h(k) = -k**3 - k**2 - 2*k - 15. Give h(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -7. Suppose 2*f = -q - q + 34, 2*q - 4*f - 28 = d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*v - 24, -3*v = 4*j - 2*v - 13. Let a = -4 + j. Solve a = -r + 6*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 423963707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o + 4*o**3 + 49 - 3*o**3 + 0*o**3 + 33*o**2 - 12*o**2. Calculate the remainder when r(-21) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -316200 to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 128, -0.14, 0.038, -2 in descending order.\nAnswer: 128, 0.038, -0.14, -0.29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117110 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2831823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 0.1. Which is the closest to 1? (a) 0.4 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and ((-56)\/140)\/((-3)\/(1470\/(-8))).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 12*g**2 - 13*g - 12. Let z(s) = -s**3 - 13*s**2 - 14*s - 14. Let n(a) = -3*i(a) + 2*z(a). What is n(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -630454 (base 7) in base 12?\nAnswer: -527b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:44 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 89*w. Let f(q) = 16061*q. Calculate b(f(r)).\nAnswer: -257955721*r**2 - 1429429*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7330 and 8063?\nAnswer: 80630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -p - 16, 3*g - g = 4*p + 4. Let v = g - 1. Which is the third smallest value? (a) -4\/5 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42290, 42272, 42254, 42236, 42218, 42200?\n\"Answer: -18*r + 42308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 13) to base 6.\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101423?\nAnswer: 7, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15282620*k**2 + 11302167*k wrt k.\nAnswer: 30565240","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 8.8863 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 3*k - 16. Let i be o(8). Suppose 7*t - 5*t = 6. Suppose -a = -t*a + i. What is the greatest common factor of a and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519488*t**2 + 270114*t wrt t.\nAnswer: -1038976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - -4) + (-1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5) - 0)*-5*1. Let d be (1\/(-1) + 1)\/(-1). Calculate the remainder when 2 - d\/y - -20 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 60 - 44) + 44?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22\/13 (b) 10 (c) -1\/2 (d) 0.44 (e) -0.4 (f) -0.3 (g) 7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11. Let g(v) be the third derivative of p + 0*v**4 + 1\/20*v**5 - v**2 + 0*v**3 + 0*v. Let x(d) = -2*d. Determine x(g(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let s(u) = -4*u**2. Let t(m) = 6*m**2. Suppose 23*w - 126 = 20*w. Suppose -h = -7*h - w. Let j(r) = h*s(r) - 5*t(r). Determine j(p(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-2\/17)*m**(-1\/12))\/(m**(-1\/5)*(m*m**3*m)\/m)*m**(-1)*m\/(m**(5\/4)*m)*m**(-3)*(((m*m**(4\/9)\/m)\/m)\/m*m)\/m assuming m is positive.\nAnswer: m**(-6557\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 6*t + 2. Determine p(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11610.90167 to the nearest 100.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 42, 25, -8, -63, -146, -263, -420?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2348\/121 or -20?\nAnswer: -2348\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q**2 + 3*q + 3. Let l be h(3). Factor 0 - 3\/2*f**4 + l*f + 6*f**3 - 15\/2*f**2.\nAnswer: -3*f*(f - 2)*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*n + 33*n - 63536000. Round n to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t - 14. Let h = -4 + t. Suppose -5*b + 19 = 4*y, b + 4*b - 11 = h*y. What is the highest common divisor of 11 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most -120\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3811 - 1?\nAnswer: -3812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 + 3 = -4*z, 0 = -5*z. What is the second derivative of -m*j**3 - j - j + 0*j**3 wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.78 - 1.15. Let l = -2.57 - -2.7. Let j = l - a. What is the second smallest value in -0.1, -2\/7, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:41 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*d**3 + 4*d**3 - 6*d**3)*(4 - 4 - 5) as o*d**3 + m*d**2 + b*d + z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u - 58*u - 77*u to the form p*u + c and give p.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169\/3 + -56. Put 0.2, 3\/5, z in descending order.\nAnswer: 3\/5, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1189*u. Let i(s) = -207*s. Let w(o) = -5*f(o) - 29*i(o). Let q(k) = 13*k**2. Give q(w(m)).\nAnswer: 43732*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/(-28) - 4\/(-16))*-2186. Let r = x - 180. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0 - 15 = 0. Suppose -338 = 5*k - 4*v, c*k + 344 - 22 = -4*v. Let f = -45 - k. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/4 + 2023*f. Let x(p) = p - 3. Let m be x(5). Let c(r) = -2 + 4 - 20*r - m. Determine j(c(q)).\nAnswer: 1200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**4 - i**3 + i**2 + 1. Let w(q) = -3*q**4 + 2*q**3 - 9*q**2 - 5. Let j(p) = -10*k(p) - 2*w(p). What is the third derivative of j(z) wrt z?\nAnswer: -96*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 10 + 9 + 1. Let c(q) = 2*q**2. What is c(v(k))?\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 41*c - 4358. What is t(106)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15718464738 and 6.\nAnswer: -15718464732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 1. Let z be x(-3). Let y(t) = -4*t**2 + 9*t + 27. Let j(p) = 11*p**2 - 24*p - 76. Let a(f) = 3*j(f) + 8*y(f). Let c be a(z). Sort c, 0, 7.\nAnswer: 0, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 14*d - 11. Let i be d\/2 - (-6)\/(-12). Let s(r) = 2*r**2 - 5*r + 2. Let l be s(3). Is i bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-11)\/(-3))\/(195\/234). Suppose -l*n + 2 = 0, -5*i + 2*i - 5*n = -23. Solve i = 5*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3\/3 - 5*g**2\/2 + g - 3. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 197?\nAnswer: 5\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 3*b + 2509, 5*l - 5*b + 2515 = 0. Let i = l + 504. Solve -5*d + 3 = -i*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*t - 10 + 22 = 0, -u = -t - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -421417976 divided by 2?\nAnswer: -210708988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/1134*1494 - 93.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1026279, 2052560, 3078841, 4105122, 5131403?\n\"Answer: 1026281*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*(-4)\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -176*w**2. Let j(v) = 61*v + 13. Let s(n) = -28*n - 6. Let g(z) = -6*j(z) - 13*s(z). What is g(d(t))?\nAnswer: 352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**8\/53760 + z**7\/2016 + z**6\/640 - 5*z**4\/2 - z - 2. Let w(n) be the third derivative of i(n). Factor w(j).\nAnswer: j*(j + 1)*(j + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**3 + 3*c**2 - 13*c - 9. Let g = 515 + -526. Is h(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/(-15) - (-162)\/(-18)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b - 171. Suppose 45*j - 41*j = -1316. Let f = j + 348. What is the greatest common divisor of f and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/4)\/(15\/30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8985612*x**2 - x + 167379965.\nAnswer: -17971224*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6336) + sqrt(6336)*2 - sqrt(6336)) + (sqrt(308) + 1*sqrt(308))\/sqrt(7))\/(-5*sqrt(64)\/sqrt(4)) + -3.\nAnswer: -13*sqrt(11)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*c + 333 - 28*c - 333.\nAnswer: 102*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -38 - 4 - 12) + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -6 + 103 + -6. What is the lowest common multiple of k\/4 + 5 + 117\/(-18) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54655656 by 4554638.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -1, 9, 133, 45 in ascending order.\nAnswer: -1, 9, 45, 56, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 + 8*a + 8. Let d(m) = -m**2 - m - 1. Let f(s) = 24*d(s) + 3*q(s). Let o(y) = -5*y - 16*y + 8*y. Calculate f(o(i)).\nAnswer: -507*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**29*r**(-5\/4)\/((r*r**(2\/9)*r)\/r))**(-2\/55) assuming r is positive.\nAnswer: r**(2711\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 + -12210102311?\nAnswer: -12210101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-29 - (-20)\/(-5))*(-57)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3316395 and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, l: 1, i: 5, g: 1}. What is prob of picking 1 g and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32671972*f**2 - 11367365*f + 2.\nAnswer: -65343944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 16. Let a(o) = 11*o**2 + 5*o - 6. Let p(f) = 20*f**2 + 10*f - 11. Let t(y) = 11*a(y) - 6*p(y). Does 14 divide t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 5*h**2 + 7*h. Let l be a(6). Suppose 2*c + 2 + l = 0, -4*c - 36 = -5*i. Solve -2 = -2*k - i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**4\/4 + 4*f + 29. Let b(g) be the first derivative of m(g). Let c(h) = -13*h. What is b(c(t))?\nAnswer: -507*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 2*n. Let k(h) = -8*h**2 - 11*h + 11. Let v(c) = 3*c**2 + 4*c - 4. Let s(p) = 4*k(p) + 11*v(p). Let w(j) = -l(j) - 5*s(j). Factor w(r).\nAnswer: r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 636 by -3.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1 - (4 + -4 - -8887). Let q = 3985 + b. Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/75*(-737100)\/1512\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240550141 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -15. List the prime factors of -7*(1 - (9 - j)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 y when four letters picked without replacement from yyyyjyyyybyyy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, m: 3}. What is prob of picking 4 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-4)\/24)\/((-5)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -2 + 8\/7*z**5 - 71\/14*z**4 - 220\/21*z**3 - 52\/7*z**2 - 16\/7*z + 25\/21*z**6. Let u(m) = 0. What is m?\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8235*t**3 + 1831*t - 3692*t + 29233*t**3 + 1861*t.\nAnswer: 20998*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1, 3\/4, 337, 2, -70?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 371122 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 5*y - 61, 4*p - 5*y - 46 = -3*y for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 + m**2 + 5*m + 18. Let a be b(6). Suppose -a = -0*y - 12*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771424627.\nAnswer: 771424627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 7*y - 2. Let w be s(-7). Let l(v) = -v**3 - 5*v**2 + 11*v + 4. Let k be l(-7). Is (k - 2\/1) + w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**3\/6 - 9*o**2 - 115*o - 156. Let n(d) be the first derivative of g(d). Determine n(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 5\/6*b**5 + 0 + 1\/24*b**6 + 15*b**3 + 45\/8*b**4 - 91*b**2 + 0*b. Solve c(f) = 0 for f.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 586, 945, 1288?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.87833 to 2 decimal places.\nAnswer: -18.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19786627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - ((-5 - 26) + -29).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/95 + -1*38\/(-90). Determine v, given that -8\/3*v + 8 + b*v**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((sqrt(60) + sqrt(540))\/sqrt(6)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 605842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3276 + -3275.998992. Round c to five decimal places.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by 25.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 6*i - 3. Let y be u(6). Let s(n) = n + 32 - 80 + 50 + 5*n. Let z(j) = 5*j + 2. Calculate y*z(w) + 2*s(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31, -118, -269, -490, -787, -1166?\n\"Answer: -r**3 - 26*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(55)\/sqrt(5) + sqrt(891) + 3 + sqrt(891) + -1))**2 + 5.\nAnswer: 2448*sqrt(11) + 114593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2b121 (base 16) to base 12\nAnswer: 86115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1439 - -1494. What is the greatest common factor of f and 561?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122053 is divided by 2624?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 7*l - 33)*(7 - 11*l - 7 + l**2) - 4*l + 4*l - 3*l**3 in the form p + q*l**2 + j*l + u*l**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/19))**(1\/46)\/(m**(-1\/29)*m**(8\/7)) assuming m is positive.\nAnswer: m**(-192387\/177422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 8, 4, 10.18, -3\/5, -4 in decreasing order.\nAnswer: 10.18, 8, 4, -1\/2, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let i(d) = 184832*d**2 - 2*d. What is w(i(p))?\nAnswer: -369664*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 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: What is the closest to -5\/2 in -196, -1\/2, -3\/23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 168 = 8*p. Let q be 1290997 - ((-3)\/p - (-234)\/(-91)). Round q to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5608)\/21564*(-94)\/4. Let l = f + -2\/5391. What is the common denominator of l and (-3)\/(-10)*4125\/50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g. Let c(f) = -13*f. What is -4*c(m) + 5*q(m)?\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 11:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60\/33 + -2 - 210584\/(-242) and 45?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578261415?\nAnswer: 3, 5, 83, 464467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/122?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-85) + (19 + -10 - (-1496)\/40)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 5*z**3 - 6*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 437250004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = -5*n + 42, -2*f + 20 = 3*n. Let x(t) = 4*t - 1 + t**2 + n*t**2 - 4 + t**3 - 3*t**2. Determine x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1565)\/((-114)\/(-30) + -4) - -2.\nAnswer: 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4003 to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79292721617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2543468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -94*t**5 + 9970*t**4 - 20282*t**3 + 11030*t**2 - 624*t = 0.\nAnswer: 0, 3\/47, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-131)\/(-19) + 4\/38. Solve -h = r*g - 4*g + 1, 7 = -g + 3*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 10:41 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -30. Suppose 0 = -4*k + 2*v - 7*v + 8, k - 4*v - d = 0. Solve x + k*x = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l**2 - 209*l**2 + 859*l**2)*(54*l**2 + 1001*l - 1001*l) to s*l + g*l**4 + b*l**2 + m*l**3 + k and give g.\nAnswer: 34722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 145*q + 113. Determine p(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Let s(o) = 4651*o - 4522*o + 1 - 2. What are the prime factors of s(v)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2453, -4206, -7149, -11282, -16605, -23118, -30821?\nAnswer: -39714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -5*b + 527. Which is bigger: 111 or b?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282463*n - 1247 = -282434*n for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737139537 is divided by 705.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/7, -2263, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 84. Suppose 5 = -5*r - 5, h*w - 5*r = 18. What is the second derivative of w*s - 2*s**2 + 10*s**2 - 5*s**2 + 12*s**2 wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 24810*i + 880. Let w be d(22). What is w rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900)*4)**2 + sqrt(1900) + sqrt(1900) - (-5*(sqrt(1900) - (0 + sqrt(1900))) - sqrt(1900))**2 - -2*(sqrt(1900)*-2)**2*-5*6.\nAnswer: -336300 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, z: 5, q: 2, t: 1, i: 6}. What is prob of sequence izq?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13848050*f**4 + 35342426*f**2 wrt f.\nAnswer: -332353200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.29369l to millilitres.\nAnswer: 35293.69","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*m + 685 = 214*m - 9013. Let w = 28 - 16. What is the lowest common multiple of w and m?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/12, -1\/7, 53, 5 in ascending order.\nAnswer: -2, -1\/7, 1\/12, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5756715 - 36.2756627. Let q = 31.7 + p. What is q rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h**(2\/7)*h)))*h)**3*(h**(-1))**(-25\/2) assuming h is positive.\nAnswer: h**(163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*n - 595 - 987 + 490. Solve -5*b + 4*o = -7, -n*o = -3*b - 14*o - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 45489817\nAnswer: -3639185.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4441481.\nAnswer: 11, 199, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 + 5 = 0, 5*a + 4*b = 1242. Calculate the remainder when a is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(609\/14)\/(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/229658 and 103\/1357070?\nAnswer: 14927770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15*i**3 + 6*i**2 - 3*i. Let p(b) = -29*b**3 + 12*b**2 - 5*b. Let m(d) = -11*l(d) + 6*p(d). Determine x, given that m(x) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.27 + 9.2. What is the third smallest value in 0.3, -0.3, m, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 800, 6443, 21772, 51635, 100880, 174355?\nAnswer: 276908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4 - 2*p**3 - 193578*p + 233635.\nAnswer: -8*p**3 - 6*p**2 - 193578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 164*d - 5. Let b(x) = 819*x - 26. Let c(g) = -5*b(g) + 26*k(g). Let q(o) = -o. Determine q(c(s)).\nAnswer: -169*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7645563?\nAnswer: 3, 17, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*j + 8, 2*a - 4 = -0*a + j. Suppose -3*t + 2*z = -t - 2, 2*t - 4*z = a. Suppose 0 = g + 3*i - 7*i - 32, t*g - 73 = -i. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:59 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*s + 9043, -4*h + 1900 = -3*s + 8676. Suppose 0 = -3*x + 3*t + s + 698, 977 = x + 2*t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/8, 3, 8, 4, -1\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 3990*t**2 + 1980000*t - 10000000.\nAnswer: 2*(t - 5)*(t + 1000)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -2\/3 (b) 0 (c) -1\/3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -33*n**2\/2 + 232. Let b(p) = 2542*p. Determine -2*b(z) - 155*d(z).\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6186 is divided by 159.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4356.5 + 4356.7. Let m = 72 + -1370\/19. What is the third smallest value in -5, m, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149851 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1899 + 1932. Calculate the greatest common divisor of x and 572.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + 0*y**2 + 0*y**2 + (-27*y - 75*y + 15*y)*((0*y**2 + 0*y**2 - 2*y**3)*(-4*y - 2*y + 4*y) - 3*y**4 + 3*y**4 + y**4).\nAnswer: -433*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-6) + 1*9. Calculate the common denominator of 15\/19 and (y\/(-20))\/((-3)\/(-11)).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 200 - 14. What is the second derivative of 12*w**4 - m*w + 45*w**4 - 19*w**4 + 0*w wrt w?\nAnswer: 456*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 479280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2001.1 - 2001.024. What is the closest to 1 in i, 3\/7, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w + 2. Let j(u) = -2*u + 51. Let n(s) = 2*s - 34. Let m(l) = 2*j(l) + 3*n(l). Give h(m(y)).\nAnswer: 26*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 9:38 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*z**2 + 0 + 0*z + 16\/7*z**3 - 4\/7*z**4.\nAnswer: -4*z**2*(z - 3)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 782.999598 + -783. What is a rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203710 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1.5 (b) -8 (c) 35 (d) 0 (e) 17723\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -51305?\nAnswer: -51311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 52 = 11*f + 3*b, 2*f - 54*b - 866 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2619114 - 5?\nAnswer: 2619109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296779598.\nAnswer: 2, 148389799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1998934.\nAnswer: -1\/999467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124296569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12\/13)\/g)\/(g*g*g**2) assuming g is positive.\nAnswer: g**(-77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = 5. Let t(i) = i**2 + 5*i + 4. Let b be t(r). Suppose b = -7*h + 3*h + 8. Solve -10 = 3*m + h*c, 3*m - c = 5*m + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 171 + 1321*t.\nAnswer: 1321*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 67*f**3 - 80*f**2 + 10*f. Let s(a) = -34*a**3 + 39*a**2 - 6*a. Let c(o) = -10*s(o) - 6*v(o). Find the third derivative of c(u) wrt u.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 74. Calculate k(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889572779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -963 in -2, 1\/8, 0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -80400 divided by -24?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 7:02 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1283)\/(-4)*(-15)\/((-180)\/192)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -52, -3, 9, 4 in decreasing order.\nAnswer: 9, 4, -3, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 1, u: 1, o: 1, k: 2}. What is prob of picking 1 g, 1 i, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-10))\/d**(-8)*(d\/(d*d**23))\/d**(-2\/27) assuming d is positive.\nAnswer: d**(-646\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - -11)*6\/3. Let l(u) be the second derivative of -12*u + 0 - 4\/3*u**3 + 5*u**t - 1\/6*u**4. Solve l(q) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*d = -128*d + 220*d + 145 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + -0.17. What is the smallest value in h, 1\/4, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 5*z**2 + 8*z + 3. Let k be h(6). Suppose 0 = -k*i + 12*i + 114. What is the remainder when i is divided by ((-18)\/(-12))\/(3\/28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50*14\/420 - (-1585)\/(-240) and (-1)\/(-1) - (-238)\/(-40).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10*k + 18 = -7*k, 0 = 4*k + 16. Solve -2*i - 5*c = -0*i - s, c - 2 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/6 + 1)\/((-2)\/(-1)). Let a be 2\/(-4) + ((-11)\/j - -6). Solve v = h - a*h + 1, -3*h - v + 9 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, j: 2}. What is prob of picking 2 j and 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 273\/983 or -2\/1905?\nAnswer: 273\/983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let d(a) = 84*a - 24. Let c(y) = 31*y - 9. Let f(g) = 27*c(g) - 10*d(g). Calculate -f(o) - 2*r(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 30054.\nAnswer: 1142052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 7*f - 101*f**2 + 99*f**2 - 6*f + 12 to z*f + o*f**2 + b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171549708 divided by 213636.\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36136 and 0.3.\nAnswer: -10840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2757.5?\nAnswer: -2760.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0 - (-67 - -67)) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-6))\/(1\/(-3)). Let s(p) = p**2 - 20*p + 22. Let z be s(19). Differentiate -4*x**3 - q + x**z - 6 + 4*x**3 with respect to x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let a(r) = -337050*r. What is d(a(j))?\nAnswer: 227205405000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d167 - 4?\nAnswer: d163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((7 - 31) + 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 + 283915*v\/3 - 567829\/6.\nAnswer: -(v - 567829)*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -34, -28, 10, 92, 230, 436?\n\"Answer: 2*f**3 - 2*f**2 - 22*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3659*r**2*u**2 + 15*r**2*u - 328*r*u**2 - 19446472*r*u - 35*u**2 wrt u.\nAnswer: -7318*r**2 - 656*r - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 136 - 28 = 0. Suppose 0 = 4*w - m - 24. Suppose -w*u = -2*u - 105. Solve 4*a = -1 - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 3\/5, -6741.\nAnswer: -6741, -11, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 568062 and 310365?\nAnswer: 93730230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -686, -854, -1022, -1190, -1358?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.5 - -32. Let c = 2.5 + f. Are c and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 19. Let a be (-3 - -1)*((-14)\/u + 1). Factor a*w**2 - 1\/3*w + 0.\nAnswer: w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149316997*j*v**3 + 3*j*v + 430*j - v**2 + v + 123 wrt v?\nAnswer: -895901982*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -139 in decreasing order.\nAnswer: -3, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -31 + 44 + -41 + 16.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10941, -21586, -31653, -40854, -48901?\n\"Answer: 48*g**3 + g**2 - 10984*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(sqrt(51)\/sqrt(3) + -2)*-5*-2)**2.\nAnswer: -10000*sqrt(17) + 52500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 + -4.77. Let i = 173 + -172.98. Sort -3, c, i in decreasing order.\nAnswer: c, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59135582 to the nearest integer?\nAnswer: 7690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g + 6. Let r(s) = 17*s - 11. Let w(c) = -5*l(c) - 3*r(c). Let o(p) = -17*p - 33 - 43 + 81. Let j = 692 + -697. Give j*o(d) + 8*w(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -51*i - 0*s + 105, i - s - 18 = -19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 0. Let p be ((-54)\/s)\/(-7 + 1). What is the closest to -2 in p, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-144)\/(-56))\/(2\/(-14)). Let n = 0.4 + -0.6. Which is the closest to n? (a) f (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1176 + 0.0176. Which is smaller: s or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -0.05, -5 in descending order.\nAnswer: 4, -0.05, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(3\/7)*f*(f\/(f*f**(-11)))\/f)**(-5))**(-12\/19))**23 assuming f is positive.\nAnswer: f**(110400\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*f - 245, 5*s = 3*f + 273 - 52. What is the least common multiple of 6 and s?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/(-6) - 1 - 22\/(-66). Suppose 4*h - 5*h = 0. Suppose h = -4*s - 2*r + 42, -2*s + f + 16 = 5*r. Solve -25 = 3*a - s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 758290 - 475328. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/4 - 19*g**4\/4 - 121*g**3\/4 - 265*g**2\/4 + 7*g\/2 + 98 = 0.\nAnswer: -7, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 81 = 11*w + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2255*i**2 + 6*i + 31.\nAnswer: -4510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 395\/6 + -1993\/30. What is the smallest value in 5, -1\/7, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4)*5\/25)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2210 = -0*l + 5*l. Let o = -185 - 6. Let g = l + o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**8\/1344 + x**6\/48 + x**5\/12 - 3*x**4\/4 - 6*x. Let n(v) be the third derivative of c(v). Factor n(m).\nAnswer: -5*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4048033 - 7.397691.\nAnswer: -7.8024943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -163601 (base 7) to base 5\nAnswer: -2020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*o**5 + 4*o**2 - 294*o**5 + 719*o**5 - 409*o - 3*o**2 - 2*o**2 wrt o?\nAnswer: 38040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*l**4 + 2*l**3 - 2*l**4 + l**4 + 27*l wrt l?\nAnswer: -12*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15544520205 - -3?\nAnswer: 15544520212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from oooojqqooojjkjqokoo?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*f + 347 = -378 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*c - 2 = 0, h + 3*c - c = 2. Let p(o) = o**2 + 2*o + 679. Let f be p(h). Suppose 0*b = 2*b - y - f, 5*y - 1660 = -5*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645837433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1 + -1 - -1*(sqrt(80) + 2))**2*-1.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 5.9. Let t = g + 11. Let a = t - -0.25. What is a rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, u: 1, p: 3, k: 5, q: 1}. Give prob of sequence qkkj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 69200274?\nAnswer: 69200274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929*y - 862*y - 134 = 0. Sort 3, -5, 2\/27, y, 1.\nAnswer: -5, 2\/27, 1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 197 = -r, -d - 61 + 24 = -r. Let l = 3 - d. Calculate the highest common divisor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3615 is divided by 138?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*n**(-3\/2)))*(n\/n**0)\/n)\/((n**(-4)\/n)\/n*n\/(n\/(n*n**(4\/7))*n)))**(-31))**(19\/4) assuming n is positive.\nAnswer: n**(-40641\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 5 + 16 + 5 - 26. Let t(z) = 1 - 1 + 15*z. Determine t(y(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 9163?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154058079 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 2*i - 2*i)*(-4*i**2 + 2*i**2 + i**2) - 90*i**5 - 64*i**5 - 24*i**5.\nAnswer: -179*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 = 5. Suppose 0*n = 3*n - u - 9, -4*n = -3*u - 17. Is n smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**8*l**(-31) assuming l is positive.\nAnswer: l**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 2, i: 9, o: 3}. What is prob of sequence ok?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62851470 divided by -6730?\nAnswer: -9339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Let f = 3 - -1. Suppose z = -7*j + f*j + 24. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.083, -7, 836?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -104 (b) 2 (c) -3157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aayaaaayaaya.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49004513578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2*r - 60*n**2 + 18*n*r wrt r.\nAnswer: -2*n**2 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 + -584ab0?\nAnswer: -584b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -17*p**5\/60 + 18*p**2. Let d(f) = -3*f. Calculate d(r(z)).\nAnswer: 51*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:41 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 339*j + j**3 - 12 - 330*j + 3. Let q(v) = -v + 1. Calculate -2*c(o) - 18*q(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22211211202 (base 3) in base 15?\nAnswer: 368cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 69620.3cm?\nAnswer: 696203000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -47. What is the units digit of 528\/9 + o\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 36 + -2 + 40 + -62\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.2. Let k = -0.39 + -38.61. Let d = 36 + k. Which is the third smallest value? (a) r (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) 57 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0127675686 to four decimal places.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -617*h**5 - 19*h**3 - 4*h**2 + 1641 wrt h?\nAnswer: -37020*h**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -3*c - 189. Suppose -9*t - c = -117. Solve 0 = -v - 10 + t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -96894 and -15948?\nAnswer: 80946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + -2 + 12)*(1 - (-15)\/(-18)). Which is the nearest to -1\/14? (a) v (b) 0.3 (c) -5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**2 - 125 + 5*s**2 + 31 - 12*s**2 to the form u + g*s + q*s**2 and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -27. Solve 4*x + k*b - 3 = -4, 4*x - 2*b - 14 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j + 1. Let f(u) = -3*u. Let a = 12 - 1. Give a*f(o) - 2*r(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6603, -13215, -19839, -26481, -33147, -39843, -46575, -53349?\nAnswer: -60171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 + 3*j**2 - 4*j**2 - j**2 + 0*j**2 - 3*j**2 + (-j + 0*j + 3*j)*(2 + j - 2) + 0 - 5*j**2 + 0 as g + k*j + s*j**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 4*z + 3. Let a(g) = g**2 + g + 1. Let x(j) = 4*a(j) - w(j). Let m(k) be the first derivative of x(k). Let r(v) = v**2. Give m(r(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7183307 + 0.3.\nAnswer: -7183306.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, -2\/71, -3\/4, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -385, -378, -371, -364, -357, -350?\n\"Answer: 7*s - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5584 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.027 or -1\/51?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36636353 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01288 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 11*i**2 + 9*i - 5. Let a be u(-10). Let j(q) = -146*q + 3. Let f(m) = -117*m + 4. Let o(b) = -5*f(b) + 4*j(b). Determine o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 14. Let i(w) = w + 7. Determine -9*i(c) - 4*j(c).\nAnswer: -c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*3\/(-2) + -3. Let s = 23 + x. Let c(q) be the third derivative of q**6\/120 - q**5\/20 + q**4\/6 - q**3\/3 - 9*q**2. Give c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - (1 - -4)) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*v = 37*v + 2975 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 15 - (-10 + 3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11998*n**6 - 4*n**2 - 28*n + 72 wrt n?\nAnswer: 1439760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -9 + -6 + 21\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33.53402 grams?\nAnswer: 33534.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -178 (b) 0.2 (c) 315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1434\/239)\/((-1)\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -59. Let c be 2*((-9)\/2 + 0). Let h = -328 - -331. Sort g, h, c in descending order.\nAnswer: h, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 38*l**2 - 68*l + 12. What is o(36)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -3. Suppose 5*a - 3*t = -0*a + 371, 3*t + 67 = a. Calculate the remainder when a is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1733)\/(-15)*3 + 2\/5?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21984229253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 38. Let o(h) = h**2. Calculate o(m(w)).\nAnswer: w**2 - 76*w + 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94043894?\nAnswer: 2, 7, 31, 337, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125.24 - -123.84. Put 2\/5, 0, 2\/27, d in increasing order.\nAnswer: d, 0, 2\/27, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 1422575.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -41.4 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -7 (b) 5 (c) 1\/3 (d) 2 (e) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*g, 2*g + 30 = 2*x - g. Suppose 6*a - 7*a + x = 0. Solve 3*v - 9 = 4*y, 4*v = v - 2*y + a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 11*z**2 - 19*z + 97. Let i be d(12). Solve -17*k = i + 72 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*c = -72*c - 185 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, 1, -2\/11, -3\/37?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*(-24)\/(-9). Let p be 4 + -2*(-1)\/(-1). Suppose 0 = -4*r + 5*r. Solve z = p*c - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 5*v**3 + v**3)*(-2*v + 0*v + 4*v)*(-2*v + 3 + 0 - 4).\nAnswer: -12*v**5 - 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/54*-2)\/((-21870)\/26244)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/31 + 1*2. Solve -10 = -4*s - z*x, 5*s - x - 3 - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b2 + -182b?\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.6 + 1.4. Let d = -16.9999892 + m. Round d to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/34 + 966\/(-391)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 22*b**2 - 110*b + 83. What is v(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13300840*n**2 - 33178780*n?\nAnswer: 26601680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 2. Let f be i(2). Let r = 3 - f. Suppose 9 - 1 = -4*s. Put r, 2, s in ascending order.\nAnswer: s, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Let g(u) = 4*u**2 + 2*u + 2. Let n(l) = g(l) - 6*j(l). Let f be n(2). Is f\/(1 - 3\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*c = -5*r - 113*c - 642342, -4*c - 128478 = r. Round r to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92 - 973233?\nAnswer: -973305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1055041222*c + 475318478?\nAnswer: -1055041222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - 52)*(-3)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 220\/18 + 1\/((-36)\/8). Find the third derivative of -h*f**2 - 6*f**2 - 15*f**3 + 22*f**3 wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28320 by 67.\nAnswer: 28320\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:09 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 2*w + 3. Let y be h(2). Let m be (y*1\/(-4))\/((-9)\/180). Solve 0 = 5*r + 3*l + 4, -4*l - m = -r - 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n**2 + 35*n**2 + 71*n**2 + n + 1 - n**2 + 43*n**2 as l*n**2 + u*n + w and give l.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 818, 1621, 2412, 3191, 3958, 4713, 5456?\n\"Answer: -6*h**2 + 821*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174116171 is divided by 2092?\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 4 + 2 + -1 - -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + a**2 - 11*a + 2*a - 118. Let t be z(-8). Which is smaller: t or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 3*b**2 - 6*b + 4. Determine w(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 4. Suppose 5*l - 18 = 7. Suppose -3*i - 32 = -4*q, 0 = i + i + 8. Suppose q*d + 22 = -3*p, -3*d = -7*d - l*p - 15. Give v(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:13 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*5756\nAnswer: 2302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177022859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 18*w - 41. Let s be n(3). Which is the third biggest value? (a) s (b) 7 (c) -6\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 6*p - 3. Calculate the remainder when 16 is divided by q(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*i**3 - 3089*i**3 + 62*i - 1152*i**3.\nAnswer: -3991*i**3 + 62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h + 22 + 12*h - 11. What is the units digit of v(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -1073\/2*i**2 - 32 + 248*i + 841\/4*i**3 = 0.\nAnswer: 8\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:01 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 3*y + 2*y. What are the prime factors of y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7313553 + 146236927\/20. Let s = p - -1705. Find the common denominator of s and -23\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k + 342. Let x be (14\/(-3))\/(64\/(-144) - 0)*-4. Determine u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110108*q**2 + 155538*q.\nAnswer: 220216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 35) + 2 + 7 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-88)\/(-144))\/11)\/(2\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {c: 1, e: 2, k: 3, f: 1, r: 2, v: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1088 - 0.12. What is c rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/9*(-29)\/((-174)\/(-18)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171\/3022 + 974995\/1568418. Let a = v - 2\/173. Let d(b) = b**3 + 3*b**2 + 3*b + 3. Let n be d(-2). What is the biggest value in n, 0, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 1 - (-1*sqrt(117))\/sqrt(9)) + (0 + sqrt(637))*6)**2.\nAnswer: 90*sqrt(13) + 26326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 146, -0.04, -3\/5, -50, 3 in ascending order.\nAnswer: -50, -3\/5, -0.04, 0.4, 3, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 14*i**2 - 14*i + 17. Let n be h(-15). Suppose w + n = 10. Suppose 4*s + 12 = 3*g - w*g, 3*s + 9 = g. Which is greater: -7\/8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:01 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let b(o) = -10*o**2 + 12*o - 2. Let f be b(1). Let c(d) be the second derivative of f + 3\/2*d**3 - 2*d + 0*d**2. Calculate q(c(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -394974460 to the nearest one hundred thousand.\nAnswer: -395000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 28. Suppose f + 2 = x. Let a = -1 + f. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpa when three letters picked without replacement from {a: 1, d: 1, q: 1, f: 1, p: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1969 - -10808. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) - 5*(sqrt(77)*2 - sqrt(77)) - sqrt(77))*-2)\/(-6*sqrt(77)\/sqrt(175)*5)*-5.\nAnswer: 125*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-84)*(-1116003)\/(-11188)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 24 = 3*q, h - 4 = -q + 3*q. Let v be (-276)\/(-8) - 2\/(-4). Let o = -12 + v. What is the remainder when o is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006934 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 11*t - 8*t - 2*t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*z + 52643 = 258*z + 153*z for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13\/8, 5, 2, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 302*3\/((-6)\/13). Let k be i\/(-676) - (-4)\/(-26). Suppose 4*h - 12*h = 8. Which is the third smallest value? (a) -3 (b) k (c) h (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3222*-0.3.\nAnswer: -0.09666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 12*w + w = 2*v + v + 16, 0*v - 3*v = 478*w + 974 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3438204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 7018 - 298 = 0. Calculate the highest common divisor of 7945 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153948073 - -135\nAnswer: 153948208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36868187?\nAnswer: 36868187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/15085920 and 77\/2372?\nAnswer: 15085920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7 + 2*i - 4 - 2. Let t be s(2). Find the second derivative of 3*y**5 - 9*y**5 - t*y + 17*y wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31473649.000043 - -31473630. Let t = -19 - b. Round t to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/1*((-140)\/21)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35556*c - 35562*c + 3 - 3 - 10*c**2 + 106677*c - 35562*c.\nAnswer: -10*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m, 3*m = 6*h - 2*h - 4854. Suppose 3*k = -7*r + 5*r - h, 4*k + r = -1615. Round k to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 - -346. Calculate the highest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-10730)\/(-222) - (-16)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, -161, -453, -747?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -99 + 32 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17279, 34560, 51839, 69116, 86391, 103664?\nAnswer: 120935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.351197 - 0.4\nAnswer: -4.751197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h*h**5\/h*h*h*h)\/h**(-2\/23)*(h**(-2)\/h)**(-2\/7))\/((h**(-5)*h**4)\/((h*h**(1\/4))\/(h**(-1\/3)\/h))) assuming h is positive.\nAnswer: h**(29999\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.5 - -23. What is the second smallest value in v, -1, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 5:45 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/8 - h**2. Suppose 4*s - 5*f = 59, -3*s + 24 = -f + 4*f. Let c(o) = -8*o - s*o + 28*o. Determine v(c(g)).\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1236 by -206.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 - 6*r + 6. Let s be o(4). Suppose -3*c = -3*q + 12, -8*q + 4*c + 15 = -3*q. Let p = -3 + 0. Sort q, s, p in descending order.\nAnswer: q, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-150) + 4840\/23325. Let q = -106304\/310067 + t. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-3 + -6)) + -98 + -8?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/22)*w**34)**(-1\/26) assuming w is positive.\nAnswer: w**(-773\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25281*u - 25281*u - 6 + 5 - 102*u**3 + 152*u**3.\nAnswer: 50*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 minutes after 7:46 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 800*k**7\/21 - 1777*k**4\/12 - 2*k - 834. Find the third derivative of g(q) wrt q.\nAnswer: 96000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*u**2 + 10*u**5 + 14*u**3 - 3*u**5 - 6*u**5 - 6*u**5 wrt u?\nAnswer: -300*u**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3)*(-3)\/(3\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 837 + -837. Let s(u) = -u**3 - u**2 + u - 2. Let d be s(0). Which is the closest to q? (a) 0.06 (b) 3\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence momr when four letters picked without replacement from ommmmrrrmmmmmrmrrr.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v**2. Let i(n) = 3811*n + 766. What is i(m(h))?\nAnswer: -60976*h**2 + 766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -1\/3 (b) 0.4 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10044214324 (base 5) to base 12.\nAnswer: -34948a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrgfnffffrnnnr. What is prob of sequence fnng?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571, 2423, 5557, 9973, 15671, 22651, 30913?\nAnswer: 40457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1800 and 23\/117900.\nAnswer: 235800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/945 - 2*k**6\/135 - 11*k**5\/270 + k**4\/6 - 66*k**2. Suppose z(a) = 0. What is a?\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**3 - m**2 + m - 1. Let y = -8 + 3. Let j be -1 + 0 - (3 + y). Calculate the least common multiple of n(j) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (31 - 18) - (-2 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:31 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 48.3868\nAnswer: 14.51604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 588068\/(-17888) + (-33)\/(-1) - 4758\/48.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fteftfftfftofftetx. What is prob of picking 1 e and 2 f?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2997 (base 13) to base 5.\nAnswer: -143124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*o + 3*o + 2142. Calculate the greatest common factor of 68 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.55 - 0.7. Let f = g + -1.85. Which is the nearest to 0.4? (a) f (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3631597 divided by 14.\nAnswer: 3631597\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 0.006. Let d = u + 0.05. Let y = -0.08 - d. What is y rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 13*a**2 - 4*a + 14. Let p be v(-6). Let q be 7\/(-18) + (-3)\/(-18). What is the closest to 0.2 in p, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 1\/60*j**5 + 1\/9*j**4 + 0*j - 61*j**2 + 0 + 2\/9*j**3. Find o such that f(o) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1361 or -12248\/9?\nAnswer: -1361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138.7 - 147. Let g = 28.3 + y. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {e: 9, x: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 809 and 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -43\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Let y(q) be the first derivative of 10*q**3\/3 - 62. Give p(y(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*x = 3 - 16, -r + 5*x + 11 = 0. Let p = 3 - r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.158411 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*h - 15, h - 3*i = 2*i + 27. Solve 3*m + m - h = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.156 * -349.\nAnswer: -54.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3659 - 2296. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-8)\/32)\/(198\/(-36)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5910\nAnswer: 1\/1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 31*b**3 - 4 - 325*b**3.\nAnswer: -356*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 11*f**2 + f - 6. What is r(-11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72*(-6 + 174\/27). Solve -2*r - p = -3*j - 46, 3*r = j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.13 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q - 6*q - 3*q + 2*q + 3*q - 3*q + 3*q - 2*q + (3 + 0 - 2)*(0*q - 2*q + 0*q))*(-15*q**4 - 2*q**3 + 2*q**3).\nAnswer: 135*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -37, -4, -176, 3 in increasing order.\nAnswer: -176, -37, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 7 + 7*w + 10*w**2 - w**3 - 4*w - 4*w - 4*w. What is q(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2)*-9*24\/(-72). Which is the closest to -1? (a) -3\/7 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*j - 193, -10*j + 5*j = 5*m - 185. What is the remainder when 114 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 18 - 37) + 2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + n + 1)*(17*n - 2*n + 2*n) - 22*n + 9*n**2 + 22*n + (n + 3*n - 3*n)*(6 + n - 6) as f + t*n**2 + i*n and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000243522 to 6 dps.\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*((-8)\/(-6) - 0). Let p = 10 - g. Suppose 2*w + p = 6. Is 5\/3 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Let o = -5.3385 + 3.3385. Sort -0.4, 24, i, o.\nAnswer: o, -0.4, i, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**6 - k**4 - 898*k**3 - 22358*k**2 + 3*k wrt k.\nAnswer: 720*k**3 - 24*k - 5388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let d(p) = 12*p + 4. Let t(k) = d(k) + 5*v(k). Let c be t(1). Suppose 0 = 3*o - c*o. Solve -2*r - 2*a + 6 = 0, o*a = -3*r + a + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 8:37 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1368617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -6, 634211 in decreasing order.\nAnswer: 634211, 1, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 9 + 0)*(-3*w + 0*w + 5*w).\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28943 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1948588 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - 11*x**3 - 18*x**2 - 8*x.\nAnswer: x*(x - 4)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 48. Suppose 0 = -5*t - u, t - 2*t + 26 = n. Calculate the highest common factor of 270 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 2*h + 4*h)*(264*h**4 - 85*h**4 - 143*h**4).\nAnswer: 72*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 2515)*(-150)\/18. Suppose -5*y + 31997 = -117378. Let f = y - x. What is f rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2. Let k(h) = 90*h + 726. Give k(z(y)).\nAnswer: 90*y**2 + 726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*z - 3 = -z, 3*c + 4*z - 14 = 0. Is 14 a factor of -38*1*c\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2070 and 4255.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17108768 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, -3, -7357, -2, -4, 3 in increasing order.\nAnswer: -7357, -217, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1588495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(48) + sqrt(48)*2)\/sqrt(4)*3*1*-1)**2 + -5.\nAnswer: -72*sqrt(3) + 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 65 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = o - 3*w, -4*o + 5*w + 6574 = 2012. List the prime factors of o.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 80 = 3*p. Suppose -4*l - u = -p, -2*l + 4*u = -40 + 2. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1524 - -92?\nAnswer: 15b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (280\/(-98))\/((-14)\/(-98))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5168 is divided by 353.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (11 - (-700)\/(-100))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -3)*18\/(-12). Suppose 4*y - 4*c - 244 = 0, -q*y - 2*c = 2*y - 270. Suppose m + 3*m = y. What is the smallest common multiple of 16 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4473 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quvv when four letters picked without replacement from {a: 2, u: 2, q: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 195 = -l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*n**2*q**3*r - 6*n**2*q**2 - 13*n**2*r + 4*n*q**3*r wrt q.\nAnswer: -150*n**2*r + 24*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:37 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 13224?\nAnswer: 13231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -74*t**3\/5 + 78*t**2\/5 - 4*t\/5 = 0?\nAnswer: 0, 2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + o**3 + 2*o**2 - o**2 + 19*o**3.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*x - 0*u + 4, u = 4. Let h = 1 + x. Suppose 2*t + h*t = 0. Which is the second smallest value? (a) -2 (b) 2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10 + 28 - 474*g + 38. List the prime factors of r(-2).\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h**2*h)*h\/h**(-2\/3))\/(((h\/(h**(-6)\/h))\/h)\/(((h\/(h\/((h**(-4)\/h)\/h)*h))\/h)\/h)))**42 assuming h is positive.\nAnswer: h**(-602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9325 - 9819.3. What is q rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-24 + (13 - 4))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 8*n - 90. Let o(l) = 6*l**2 + 7*l - 1. Let p(g) = -7*g**2 - 8*g + 2. Calculate n*p(x) + 6*o(x).\nAnswer: x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrvrsovrsssssssrvo. What is prob of picking 3 v and 1 s?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and -7575.\nAnswer: -7575.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27605 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94136, 188457, 282950, 377621, 472476, 567521, 662762?\nAnswer: 758205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 0. Let v(n) = 6*n**2 - 3*n + 3. Let o(r) = 13*r**2 - 7*r + 7. Let m(q) = -3*o(q) + 7*v(q). What are the prime factors of m(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*f = 0, 5*z - 6 = -5*f + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 13*b + 18. Let n be s(12). Let k = n - 4. Suppose -4*c + k*a + 24 = 0, c = 6*c + 4*a - 4. Solve -4*v + 24 - c = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(102) + sqrt(102)*2)*-4 - sqrt(102)))\/((sqrt(54) - 1*sqrt(5400))\/sqrt(9)).\nAnswer: 26*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*m**2 - 742135*m + 236145 = 0. What is m?\nAnswer: -6747, 7\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59487415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 219, -5 in ascending order.\nAnswer: -5, -4, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36 - -15.16. Let i = 14 - r. Let f = 6\/11 - 19\/55. What is the biggest value in 2, f, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4059044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 916, 0, 4, 2, -5 in decreasing order.\nAnswer: 916, 5, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 11*g + 11. Let n = 6112 + -6123. Determine q(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294 * -37943.\nAnswer: -11155242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10208, 10205, 10188, 10151, 10088, 9993, 9860, 9683?\nAnswer: 9456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 16. Let g be ((-68)\/8)\/((-2)\/191). Let n = g + -804. Is y smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20\/99 - -2\/99. Let v = 81\/4 - 39\/2. Which is the third smallest value? (a) v (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -273, -563, -849, -1137, -1433, -1743, -2073, -2429?\n\"Answer: -b**3 + 8*b**2 - 307*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*y - 32 = 0, 5*s + 60 = 3*y - 4. Let a be ((-54)\/(-63))\/(12\/s + 1). Solve -5*c - a = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-42) + (-75)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66.5 + 563.5. Let v = -425 + j. What is the smallest value in 1\/4, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from 8.2.\nAnswer: 32.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16097141 and -0.03.\nAnswer: 16097140.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/14675 and 23\/17610.\nAnswer: 88050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 150*t + 1125 = 0 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 9) + -2 + 2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/17)*p)\/p)\/p**9)\/(p**18)**(-1\/57) assuming p is positive.\nAnswer: p**(-2444\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -1541, 2\/5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 13919\nAnswer: -3\/13919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r + 1. Let u(o) = -23*o + 2. Calculate 14*f(z) - 6*u(z).\nAnswer: -30*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:10 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -605, -1499, -2777, -4439, -6485?\nAnswer: -8915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -7\/12*u**4 + 0*u + 1\/3*u**3 + 0 + 38*u**2. Let t(l) = -l. Calculate t(w(q)).\nAnswer: 14*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**23)**22*(n**(-3\/10))**(-36) assuming n is positive.\nAnswer: n**(-2366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 2*t + t)*(4*t + 0*t - 3*t) + t - 4*t - t + t**2 to l*t**2 + k + c*t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/20 + 2*d**2. Let h(u) = 2*u - 2*u - u. Determine t(h(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1028025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*f**5\/6 + 44*f**4\/3 - 11*f**3 - 126*f**2 - 315*f\/2 - 54 = 0. Calculate f.\nAnswer: -3, -1, -12\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1664 + 11891 = 745*l - 4708 - 4087 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3751 divided by -1.\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 + 3*m - 3. Let x be (-2)\/8 + (-51)\/(-12). Let p be r(x). Calculate the greatest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**3 - 7*q**2\/2 + 6*q + 9. Does 13 divide y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1817 + 1817.0001464. Round d to six decimal places.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from hmjppmpjhjyq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -0.4 (c) -1\/2 (d) 0.2 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051403 is divided by 479.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407860, -815724, -1223592, -1631464, -2039340, -2447220, -2855104?\nAnswer: -3262992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 11*k - 267462. Is 127 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.2 + -12.2. What is the nearest to 2 in -2\/11, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -323.3.\nAnswer: 3879.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -234.027463316164 + 0.027462346164. Let j = -234 - r. What is j rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5 = -2*l, 3*l = 4*g + g - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110411?\nAnswer: 53, 58687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1083038 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/60)\/((-3)\/(-6)))\/(2895\/(-277920))\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + t + 3, 49*t = 44*t - 15. Solve p*x - 2*x + 3 = -y, 0 = 2*y - 5*x + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/3 and -20\/587.\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29734, 59467, 89214, 118981, 148774?\n\"Answer: o**3 + o**2 + 29723*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9913345 + 681\nAnswer: -9912664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkt. What is prob of sequence gtg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (6 + -4) - 3. Let c be (-13)\/(-4) + -1 + 2\/h. Solve 0 = c*o - 4*t - 5 + 3, -3*t - 1 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93087150 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7577 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1666238272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n + 978. Let o(h) = -15*h + 977. Give -3*o(s) + 2*z(s).\nAnswer: s - 975","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2012 - 14085\/7. Let t(k) = 7*k - 20. Let d(m) = 4*m - 10. Let i(x) = -5*d(x) + 3*t(x). Let g be i(8). Which is the nearest to -1\/3? (a) g (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3\/2 - 11445*m**2\/2 - 28567*m + 377520 = 0.\nAnswer: -11440, -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217 * 60778.\nAnswer: 13188826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-569325\nAnswer: -56932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 o when four letters picked without replacement from ojijojjitjtjtti.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpypppbzkzpyphkpp. What is prob of sequence yz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 16 - 26 + 11*r + 16. What are the prime factors of z(10)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36046 - 17?\nAnswer: -36061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-14) + (3 + -3 - -4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39061022 and 1001.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let o be (54\/(-5))\/(12\/(-40)). Suppose 0 = 2*u - 2*v - 30, 5*v + 23 + o = 4*u. Calculate the smallest common multiple of s and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813930*m + 813974*m - 1627906*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1681772.4198 and -0.4.\nAnswer: -1681772.8198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + (55 - (8 - -45)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113 and 25990.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.28 - -15.409. Round h to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155 + 22156?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 328540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6\/13, -320, -3\/5, -0.4 in descending order.\nAnswer: 0.3, -0.4, -6\/13, -3\/5, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i, -2*j + 4*i = 2*j. Let a(n) = -n**3 - n**2 + 4*n + 5. Let x be a(j). Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-48)*(-16)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 9*g + 2. Let y be r(-9). What is the smallest value in y, 5, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, u: 2, t: 1, j: 1, x: 4}. What is prob of sequence utup?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + 83501.\nAnswer: 83490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 42. Suppose 0 = 5*w - 5, -5*a = -2*a - 3*w - 3. Suppose m = -a*m + 207. Calculate the remainder when m is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - x**2 + 7*x + 6. Let f be l(-3). Suppose -f*c = -7 - 2. Let -j**4 + j**c - 4*j**3 + 3*j**2 + j**3 = 0. What is j?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 541530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8792.15 - -8792. Let v be 2\/(0 - -2) + -1. Let l be 2*(-1 + v) + -2. Which is the nearest to 1? (a) l (b) r (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3\/4, 1145, -5\/2, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (2 - -18) - -2. Let f = 154 - 99. What is the highest common divisor of v and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1090963903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -3)\/(1 - 0). Suppose x = -l - 3*l + 20. Suppose -24 = 7*a - 13*a. Sort l, a, 3 in ascending order.\nAnswer: 3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 - 330*c = 0.\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24652 divided by 4.\nAnswer: 6163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yssaqpx. What is prob of sequence sxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36\/5 - 139\/20. Let g be ((-4)\/(-10))\/(4\/10). Is d >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 530857.7 nanograms?\nAnswer: 0.0005308577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51112052 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 8*z - 13. Solve 6 = -z*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose 25 = -40*z + 7*z + 122 + 2. Solve 2*y = w + 15, z*y - 2*w + 4 - 29 = x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 853888?\nAnswer: 5977216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000895556 to seven decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 191 + 102 + 100 - 3*k + 3*k - k + 0*k + 2*k + 0*k + (-3 - 2*k + 3)*(-4 - 3 + 5) + 3*k - 2*k + 2*k.\nAnswer: 11*k + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 6*l + 8. What is the units digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -1 + -2*(-3)\/(-6). Let m = -59 - -61. Solve -n*p = -m*l, -5*l - 2*p - 13 = p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18653 and 2944.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9)*30\/(-4). Suppose 11 - 1 = -z*w. Let g = 21 - 19. Put g, w, 3 in ascending order.\nAnswer: w, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2195 divided by -18\nAnswer: -2195\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167\/91 + 22\/13. Suppose -4 = -4*w + x - 17, -4*w + 4*x - 4 = 0. What is the second smallest value in w, o, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 720*o**2 - 720*o**2 - 16*o**3 + (-5*o**2 + 4*o**2 - o**2)*(-o + 4*o - 2*o) to p*o**3 + t*o**2 + x + q*o and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 105 = 5*c - 100, -y - 209 = -5*c. List the prime factors of 14184\/c + 2\/7.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 13*u + 14. Calculate the least common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -7. Let o(w) = w - 5. Let t be o(n). Solve -4*k = t + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let u = 17 + -16. Suppose i = 2 - u. Calculate the remainder when n is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*194\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 507, 477, 447?\n\"Answer: -30*g + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 17*a + 536. What is s(33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 3*t**2 + 2*t**2)*(-899339 + 5674*t**2 + 899339).\nAnswer: -17022*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485169, 485121, 485061, 484989, 484905, 484809, 484701?\nAnswer: 484581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + -117.2. Let p = a - -123. Let r = p - -32. What is r rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l - 5*l - 6*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 41.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5. Let f(q) = 2*q + 1. What is -d(v) + 2*f(v)?\nAnswer: 4*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1140\/7 - 14275\/84. Let l be (-2)\/(-19) - 642197754\/46170. Let d = l + 13910. What is the common denominator of z and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**3\/6 - i**2\/2 - 43*i. Let m(o) = o**2 - o - 7. Let w be m(0). What is the units digit of k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-10)*-2 + 112\/40. Solve l = v*l - 4*q - 2, -3*q - 12 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2047, -3366, -4689, -6016, -7347, -8682?\n\"Answer: -2*j**2 - 1313*j - 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 3*r - 21. Let p be c(-7). Suppose 4*v = 2*h - 36, -3*v - p - 65 = -4*h. Solve 3*u - 3 = -h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 10. Let s be b(8). Suppose 0 = 2*u + s*u - 40. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - (0 - 3316\/(-24)). Let l = -138 - d. Let h = -8.3 - -8. Which is the closest to -0.1? (a) l (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25005, -24154, -23303?\nAnswer: -22452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -58. Let t = -28.00000043 - m. What is t rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27818 is divided by 13905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 92.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 4*y**2 - 4*y - 5. Let u be w(5). Suppose -2*p = -5*o - u*p + 74, 3*o = 2*p + 46. Let l(j) = o + 10 - 23 - 4*j. Calculate l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.36 + 0.64. What is the nearest to -2 in n, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l - 258 - 366 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = 3*j + 479. Put j, 112, 2 in ascending order.\nAnswer: j, 2, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 25346 - 14201 = -49167. What are the prime factors of d?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4242 by -2121.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.4, -0.0355, 2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-96)*-16*(-1 + (-4)\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 314 = -89. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 25*g**2 - 497*g + 5832. Give j(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:21 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.551 - -0.051. Which is the biggest value? (a) 24 (b) -1\/4 (c) h (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(4\/(-46)*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/21 - 16762*h**4\/21 - 39072*h**3\/7 + 167512*h**2\/21 + 267968*h\/21 = 0. Calculate h.\nAnswer: -8374, -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31714 - 31714. Solve 0 = 3*h + 4*q - 6, 4*h + 4*q + o = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868392 divided by -5169.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 53*t = 252*t - 1792, t - 4 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -2\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -17873469.5 to the nearest 10000.\nAnswer: -17870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 3*t + t**2 + (t - t + 3*t)*(200 - 24*t - 200) to the form j*t**2 + r + k*t and give j.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*z - 6, 2*l + 2 = 3*l - z. Let m(k) = 3*k + 0 + 12*k + 60*k - 1. Is m(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1199\/9450 + -31\/675. Find the common denominator of 41\/60 and o.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 47*o - 47*o + 4*o**2. Let i(j) = j**3 + j**2 + 2. Let n be i(0). Let d(s) = -2*s - s**n + 2*s. What is h(d(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 3 (c) -1\/9708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3261 = 5*v - 6714, 0 = 4*p + 8. Suppose -l + 0*l - 2*s + v = 0, 0 = -2*s. Let q be l\/(-11) + 34\/187. Round q to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2 + 3 - 23*c + 22*c. Let d(x) = -4. What is -5*d(s) - 4*f(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:55 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 + -0.03. What is the nearest to 6\/11 in -4, h, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21448*l*q**2*y + l*q*y - 13932*l - 3*q**2 + 2*y wrt y.\nAnswer: -21448*l*q**2 + l*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103714.\nAnswer: 2, 13, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * -3.095\nAnswer: 7.7375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*12\/(-6)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1045 + 233 = -28*a. What is the remainder when 543 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**6\/30 - 9*p**5\/10 - 97*p**4\/12 - 24*p**3 - 32*p**2 + 1042*p. Find m, given that k(m) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 529404*l + 4235251. Determine t(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 80304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95181751*y**4 + 165059938*y**2?\nAnswer: -2284362024*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.1. Let j = 44 - 30. Let y = j + -10. Which is the nearest to 1\/4? (a) -4 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f + 322799 = s, f = 3*s - 161397. What is f rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130726108 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3711? (a) 5 (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 1. Let g(f) = 4 - 4 - 1. Let l(w) = c(w) - 2*g(w). Suppose -8*p + 4*p + 3 = -3*a, 5*p + 3 = -3*a. What is l(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -350 >= -330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 + 2*w**2 + 5 + 0. Let u = 4 - -6. Suppose -3*t = 4*p + 5, -p + 2*t = 5*t - u. Let y(n) = 5*n**2 - 8. Calculate p*y(a) - 8*m(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41770253.\nAnswer: 7, 5967179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 143. What is the third biggest value in 2, 1\/7, i, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 895 = -r + 3700. Suppose -11*s - r = -28*s. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381 - 549. Let d be h\/(-98) - (-4)\/14. Solve -2*p - 10 = 5*s, 4*p + p - 17 = -d*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38805 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 10:53 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a6b (base 16) in base 14?\nAnswer: 1c4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 378. Let v be j(0). Suppose 4*x = 2*s - 36, 7*s - 5*s + 5*x - 36 = 0. What is the highest common factor of s and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4 - t**2 + 2*t**2 - 3. Let l(p) = p**3 + 4*p**2 - p + 2. Let h = 22 + -21. Determine h*l(r) - 2*b(r).\nAnswer: r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5105 and 17253879.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13b + -c?\nAnswer: 12e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.56972801 + -436.99862461. Let p = a + 435.0289. Let s = p - 0.6. Round s to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255450067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3033239.\nAnswer: 11, 47, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 - -110001001011110?\nAnswer: 110001010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 4\/21 (c) 3 (d) -8 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -292761000 to the nearest 1000000.\nAnswer: -293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a + 6. Let u = -1 - a. What is the remainder when (-4 + u - -15) + 1 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 67692310?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 66 = -14*z - 118, -4*b + 12 = z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 3*q - 2*q. Let z(t) = 13*t**2 + 6*t - 6. Let y(w) = -13*w**2 - 7*w + 7. Let o(p) = 6*y(p) + 7*z(p). Determine h(o(c)).\nAnswer: -117*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 6414 + 76. Is k\/5 + 6\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 4*w - 3. Suppose -l - 4*l + 35 = 0. Let x(b) = b - 5. Let p be x(l). Let c be u(p). Solve c = -0*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*f**4*x - 177247*f**2*x**2 + 7*f*x**2 + 1900344*f wrt f?\nAnswer: -1596*f**2*x - 354494*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**9\/241920 - w**5\/5 - 5*w**2. Let f(r) be the third derivative of v(r). Factor f(l).\nAnswer: l**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 13*g**2 - 10*g - 16. Let h be t(12). Let b(r) = -2*r - 5 + 5 + h*r. Let v(q) = 2*q**2. Give v(b(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/161*5\/((-130)\/13).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.721 and 258?\nAnswer: -3798.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 17*a - 51. Let i be (-1)\/((-12)\/84 + 4\/14). Let q(k) = -k**2 + 9*k + 26. Let n(y) = i*q(y) - 4*w(y). Differentiate n(z) wrt z.\nAnswer: -2*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1512\/(-198))\/(((-1612)\/(-286))\/62)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 266350437 + -2\nAnswer: 266350435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 10. Let z be s(12). Let b = 1 - z. Let r be (-23)\/10 - 12\/(-8). Sort b, -4, r.\nAnswer: -4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = 4*h - 4*m - 150, 4*h = 3*m + 567. Calculate the smallest common multiple of h and 9.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2944553 - 2*j**2 - j**2 - 2944780 to the form d*j**2 + a + b*j and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1*(-44)\/(-8). Suppose 5*a - 103 = 12. Let h = d + a. Calculate the greatest common divisor of h and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + 5 - 13) + (5 - (-7 + 16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8227, -8283, -8339, -8395?\n\"Answer: -56*a - 8171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 5. Let k be s(3). Suppose k*i = 6 + 2. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7669*c + 11321*c**2 - 7509*c - 7553*c + 30458*c - 7462*c wrt c?\nAnswer: 22642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -816*n**2 + 247*n**3 - 218*n**3 - 6304*n**4 + 6290*n**4 wrt n?\nAnswer: -336*n + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4 = 6*s - 2*s - 2*j, 3 = -3*j for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.2 + 7. Let p = u - -1.2. Let q = -744\/7 - -106. What is the nearest to q in 5, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 10*v - 33. Let q be 310\/(-18) - 2\/(-9). Let s be m(q). Let g = s + 335. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-10661 + 1523*a**5 + 10661).\nAnswer: 1523*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = -23*r + 33*r. Calculate the greatest common factor of 55 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5953*d + 3. Let r(i) = -8917*i + 4. Give -5*r(w) + 8*y(w).\nAnswer: -3039*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.17 in -0.2, 0, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + 2 + sqrt(7))*3 + ((2*sqrt(7)*-4)**2 - sqrt(7))*3.\nAnswer: 33*sqrt(7) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 337937 and 0.1.\nAnswer: 337937.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -531? (a) 15 (b) 0 (c) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*f + 30*f - 135 - 70*f)*(-4*f + 4*f - 2*f**3).\nAnswer: 2*f**4 + 270*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*f + 15, 0 = -4*o - 3*f + 2*f + 1. Suppose -v + o - 2 = 0. Is -1\/3 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:52 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374.4 plus 85386?\nAnswer: 89760.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 19 (c) 3\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 651063 and 1155?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -113. Let x = s + 41. What are the prime factors of 2\/x + 256\/6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 23 - 8 = -7*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 496 - 19. Suppose -2*a + a = -q. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108605 and 130326.\nAnswer: 651630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553771001.\nAnswer: 7, 1021, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {k: 2, w: 7, v: 1, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 9. Calculate m(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -102.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 2\/(-3 - -2). Let z be 2 + x + 2 + 3. Solve 0 = -5*w - a - 3, -a - 2*a - 9 = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 692082054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiijjjfjjjiiijiif. What is prob of sequence fjj?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*10\/(-675)*-5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 772680032 and 1472?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*g + 7686*g + 998326 = -6107*g + 3082*g for g.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 + 49 - 8)*(-6 - 16 + 4)*(-3*w - 2*w + 7*w)*(-3 - 3*w + 3) as j + h*w**2 + q*w and give h.\nAnswer: 9072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -18, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274 + 439. Let d = b - 156. Suppose -564 = -4*g - 168. What is the highest common divisor of g and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**0*r)\/r)*r*r**(1\/3))**46 assuming r is positive.\nAnswer: r**(322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 + 1700*s**2 + 151060*s + 1102240 = 0.\nAnswer: -166, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n, -2*x + x - 5*n + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*z = 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 20*p**2 + 15*p - 26. Let q(k) = 7*k**2 + 5*k - 9. Let i(g) = 6*c(g) - 17*q(g). Let h be i(-6). Solve 2*m + 4 = 2*b, -2*m = h*b - 0*m - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y + 3. Let g(h) be the second derivative of h**3\/6 - 9*h**2\/2 - h. Let w be g(9). What is the least common multiple of 7 and n(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v + 12. Let h = v - -4. Let q = -7 - -7.3. Which is the second biggest value? (a) h (b) -1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 divided by 4?\nAnswer: 363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 25425*g**2 + 5*g - 14. Let b be p(3). Is 4\/5 + b\/130 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -1\/5, -3\/2, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-10)\/4)\/1)\/((-8)\/1424). Suppose -3*a + 1366 = n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.753082 millilitres?\nAnswer: 0.001753082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + 30. Differentiate 7 + 14*w**4 + 11*w**3 - 11*w**3 - r with respect to w.\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0996622 rounded to five decimal places?\nAnswer: 0.09966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4818 + -0.5618. What is the smallest value in 8, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(153)*-1*-1 + sqrt(153) + -4 - (sqrt(153) + sqrt(153) + 0 + -1 - (sqrt(153) + 3*(sqrt(153) - (0 + sqrt(153)) - sqrt(153))))))**2.\nAnswer: 2916*sqrt(17) + 50301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-14))\/((-228)\/(-266)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8040953 is divided by 1321?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**6\/180 - d**4\/12 - 5*d**3\/6 - 29*d**2. Let n(p) be the second derivative of m(p). What is n(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 - 1) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*u - 19, 2*t = 241*u - 240*u - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -44 + 29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 56 + 27*j - 26*j)*(-3 + 0 + 0).\nAnswer: -42*j - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1059\/5 - -213. Let b = -43 - -38. Let l be 3*((-5)\/(-9))\/b. What is the nearest to 0.1 in l, -5, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 98472*p - 1083193. Calculate d(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 + (-1)\/(-20). Let u = 1993.4 - 1993. Which is the closest to -17? (a) h (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -140*u**3 - 2*u**2 + 2*u - 202. Let d(m) = 279*m**3 + 5*m**2 - 5*m + 407. Let g(p) = 4*d(p) + 10*w(p). What is the first derivative of g(l) wrt l?\nAnswer: -852*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 29660310.\nAnswer: 29660314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 0*l**2 - 2*l + 4*l)*(4 - 4 + 4)*(0*l**2 - 2*l**2 - 4*l**2).\nAnswer: -48*l**4 - 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11602, -23302, -35002, -46702, -58402, -70102?\n\"Answer: -11700*i + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 97065861821.\nAnswer: -97065861821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2515 divided by -30798.\nAnswer: -2515\/30798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16122 is divided by 943?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let i(a) be the third derivative of a**4\/8 + a**3\/6 + 2*a**2. Give i(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/(c*c\/(c\/(((c*(c\/c**(1\/2)*c)\/c)\/c)\/c)))*(c**(-1\/3))**(-2\/9)*(c**2*(c*c**(-2\/7)*c)\/c)\/(c*(c*c**(-1))\/c*c**(1\/6)) assuming c is positive.\nAnswer: c**(968\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s**(-2\/5)*(s*s**(-2\/7)\/s*s)**(-12\/13))**(16\/3))**(-50) assuming s is positive.\nAnswer: s**(237280\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -464, -482, -516, -572?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**6\/48 + x**5\/20 - 29*x**4\/32 + 7*x**3\/4 + 1244. Determine j, given that k(j) = 0.\nAnswer: -7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 381 - 137. Calculate the smallest common multiple of z and 6.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -848.3378147 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 12) + (-16 - -41)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1080328 and 2324?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 2\/5, -7, 145, 1.9?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73346, -143668, -213978, -284270, -354538, -424776, -494978, -565138?\nAnswer: -635250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/2 + 1. Suppose 5*u - 3 = 2*u. Let y(t) be the first derivative of t**4\/4 - 570. Determine u*y(l) - r(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/35, 8, -0.5, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + 0 - (0 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 320*v + 758. Calculate m(109).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 18*y**2 - 7*y**2 + 3*y**3 - 4 - 13*y. What are the prime factors of l(5)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-24)*k)\/k*k*k\/(k**(-3)\/k))\/(k\/(k*k*k**(-6)*k))**(11\/6) assuming k is positive.\nAnswer: k**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 957179 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/4818 and -133\/1596078.\nAnswer: 116513694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-784)*-14)\/((-2)\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 51914 and 51916 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8411657.\nAnswer: 89, 94513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110000100000010101101 (base 2) to base 16.\nAnswer: -7840ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*((sqrt(245)*2 - sqrt(245))*5*2 + -3)**2.\nAnswer: -2100*sqrt(5) + 122545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-704 + 367 + 3*f + 357)*(-60*f**2 + 33*f**2 - 91*f**2) to a + h*f**2 + u*f**3 + v*f and give h.\nAnswer: -2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r**3 + 171*r**2 - 176*r + 78. What is i(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 457\/5, -1\/1656.\nAnswer: -1\/1656, 1, 5, 457\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Let m(y) = -3*y - 1. Let i be m(-2). Solve i*g - r*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7783\/17 + 458. Suppose -3*o - 1 = -22. Suppose -2 = -o*d - 9. Is s less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 2. Let x(n) be the first derivative of 0*n + 1\/6*n**4 + 0*n**c - 2\/9*n**3 + 2. Suppose x(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 + 7*t + 193. Determine x(0).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190519827.\nAnswer: 3, 223, 284783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45880 is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 4. Let u be o\/(-10) - (-12)\/10. Let a be (-4)\/u*1\/(-39). Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0108 and 1189.7.\nAnswer: 12.84876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732198607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 44050797.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -11270 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.1307, 2.9, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*u - 20, 5*u - d = -8 - 8. Let p(a) = a**2 + 4*a + 3. Calculate the least common multiple of 3 and p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 4, 32 in ascending order.\nAnswer: -3, 2, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54976988 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 o, and 1 n when three letters picked without replacement from {o: 1, f: 1, n: 1, h: 1, l: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + -46. Let i be 46\/14 + (-10)\/q. Solve o + 4 - i = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16148 <= -16146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1518, -2, -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -557 - -654. What is the remainder when 187 is divided by j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4170766049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.85397 to 2 dps.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -41 - 132\/(-44). Do -35 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -812 + 995. What is the third derivative of 208 + 0*q**2 - q**2 + 238*q**3 - k wrt q?\nAnswer: 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32529954, 32529955, 32529956, 32529957, 32529958?\nAnswer: 32529959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 16. Let n be x(16). What is n rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -15 - 1\/12*h**4 + 0*h**3 + 2*h + 0*h**2. Let d(a) = -139*a. What is d(s(c))?\nAnswer: 139*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*o + 2235 = -120*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 64*b + 120.\nAnswer: 2*(b - 30)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1812 divide 658821950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.9 - 40. Let g = 951.4 - 951.5. Which is the closest to p? (a) 0.2 (b) g (c) -2\/15 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(((i*i\/((i\/((i**(-14)*i)\/i))\/i*i))\/i)\/i)))**26*i\/((i**(-14)*i)\/i)*i**9\/i assuming i is positive.\nAnswer: i**(-367)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338520, 1354021, 3046524, 5416029, 8462536?\nAnswer: 12186045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16603 - 16605. Let v = 1 - -6. Sort c, v, 5 in decreasing order.\nAnswer: v, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 76?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 + 14 - 2*k**3 - 6*k**4 - 47*k - 35 - 6*k**4 + 8*k**4 in the form v*k**3 + z*k**2 + d + j*k + r*k**4 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, 0.3, -4, -6, -0.8 in increasing order.\nAnswer: -6, -4, -3\/2, -1, -0.8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-36))\/((-4)\/12*1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7612 or 7602?\nAnswer: 7602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1404 - 1398)*4\/66*(-1)\/(-6)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**3 - 20*w**2 - 23*w - 4. Let r be p(-1). Let f(y) = 3*y**2 + 8*y + 8. Let s be f(-6). Put s, r, 0 in decreasing order.\nAnswer: s, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968383965 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/5)\/(12\/(-28) - (-493)\/595)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + 24*n**2 - 15*n + 55. Let o(g) = -27*g**3 + 123*g**2 - 73*g + 276. Let r(y) = 2*o(y) - 11*x(y). Give r(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1 + 1 + 1). Find the first derivative of -2*w - 3*w + 4*w + a wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 17. Let v be s(-12). Suppose 0 = -2*i - 13 - v. Let o be (-26)\/i - 4\/(-10). Do 4 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396966 is divided by 3289?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 + -151. What is the first derivative of 87 + 606*c**j - 315*c**4 - 305*c**4 + 3*c**2 wrt c?\nAnswer: -56*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 2, o: 1}. What is prob of sequence aa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*2*(0 + sqrt(448) + 1 - sqrt(448))*4)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5867313 is divided by 1955750?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 + 9 + 75 + 8*a**2 - 73 + 62.\nAnswer: -3*a**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -35*w + 4. What is q(-3)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*-1 + ((-1946487)\/9835 - -220)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(-532*q + 2 + 8*q**2 + 532*q) to the form u*q**2 + b*q + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1527601874 and 0.3.\nAnswer: -1527601873.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44605 and -0.032?\nAnswer: -1427.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58469383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182.4 + -85.448.\nAnswer: -267.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -346*a*s**2*x**2 - 4*a*s*x**2 - a*x - 2*a - 34123*s**2*x**2 + 2*s*x**2 - 3*s*x - 36460*s wrt s?\nAnswer: -692*a*x**2 - 68246*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(117) - (6*sqrt(117)*-3 - sqrt(117)))\/(5*sqrt(54)\/sqrt(6) + (sqrt(2646) + sqrt(54))\/sqrt(6)).\nAnswer: 7*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - 28 = -5*f, 4*f - 24 = 2*n. Solve 3*z + 11 = f*k - 1, 0 = 3*k - 2*z - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/4036314 and 59\/33635950.\nAnswer: 100907850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6375*x + 3*g - 18 = -3194*x - 3182*x, 0 = 3*x + 2*g - 68 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - r**4 - 2*r**4 + (r**2 - r**2 - 2*r**3)*(-16*r - 12*r + 13*r) to the form a*r**2 + o*r**3 + q*r + c*r**4 + n and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l + 102. Let u be t(-21). Let i be (-3 - -2) + (15 - (u + 3)). Solve 0 = i*n - 10*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1089*g**2*y**3 + 4673*g**2*y**2 - 2*g**2*y - 13*g*y**3 + g*y**2 wrt y?\nAnswer: -6534*g**2 - 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrgyrryrrr. Give prob of sequence yg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4 = -2*g, -5*c - 371*g + 374*g - 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3078180 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -118, -122, -126, -130?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/3 + 488*u**4\/3 - 26062*u**3\/3 + 164084*u**2\/3 - 251929*u\/3 + 113420\/3 = 0.\nAnswer: 1, 5, 53, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -3*z**5 + 107*z**4\/3 + 1772*z**3\/3 - 240*z**2 + 30*z - 5. Find g such that j(g) = 0.\nAnswer: -5, 2\/15, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-140)\/455*(1 + (-6)\/4). Let q = -0.31 + 4.31. What is the second biggest value in -1\/3, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Let y be ((-1)\/3)\/((-3)\/9). Which is the biggest value? (a) y (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -88*x + 647. Determine l(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 714147, 1428398, 2142649, 2856900, 3571151?\n\"Answer: 714251*m - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -84, -192, -344?\n\"Answer: -22*a**2 + 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 17 = -5*n, -3*p - 62 = -3*n - 68 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 divided by 21?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 4)*(-n + 7*n - 4*n + 5*n - 2*n - 5*n + (2 + 2 - 2)*(-n + n + 2*n) - 2*n - 4*n - n) as q + g*n and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4512522 is divided by 1504173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 - 7*f + 2. Let i = -352 + 359. Let s be k(i). Solve 0 = l - s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -97, -5, 2 in increasing order.\nAnswer: -97, -5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*o = 10*o - 45*o + 10238833. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let f be (4 - 2)*10\/4. Suppose j*n = 17 - f. Calculate the common denominator of n and 59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/83688 and 23\/64?\nAnswer: 669504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.8 - -10. Let r = 11.2 - 11. Let j = k - r. Is -1 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**5\/7 + 10092*m**4\/7 - 233860*m**3\/7 + 947780*m**2\/7 + 1699776*m\/7 - 346256 = 0.\nAnswer: -2546, -2, 1, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 324771 = -5*a, -4*s + a - 243592 = -s. Let q = s + 10199. What is q rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) -0.1 (c) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 89590 divided by -2890\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1071 and 3?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3817571 is divided by 318120.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.207 + -0.207. Let z = -97 + x. Let m = -121 + 118. Which is the third smallest value? (a) z (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2040739040 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2334 - 1236 = 210*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 570.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42464?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11866, 11862, 11856, 11848, 11838?\nAnswer: 11826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - -0.12. Sort -0.4, -14, 4, u.\nAnswer: -14, -0.4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o = -40*o - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608444.\nAnswer: 2, 67, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -4 (c) -15.6 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000000011 - 100?\nAnswer: -10111000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.7056627*-0.8\nAnswer: -0.56453016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**7\/252 - 3*m**4\/4 - 9*m. Let x(g) be the third derivative of b(g). Let j(r) = 2*r**2. Give j(x(s)).\nAnswer: 200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, w: 6}. Give prob of picking 2 e.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 147*v**3 - 369*v - 393. What is the derivative of f(p) wrt p?\nAnswer: 882*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794816 to the power of 1\/2, to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 37*i + 79. Let s be g(-35). Let c = -10 - -37. What is the least common multiple of (s - 2)*((-6)\/1)\/(-2) and c?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, x: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:25 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/7 - 5408*r**2\/7 - 53989*r\/7 - 48582\/7.\nAnswer: -(r + 1)*(r + 9)*(r + 5398)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/((-63)\/(-18))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 2*k + 2. Suppose 3*s = 5*i + 34, -2 = -4*i - 22. List the prime factors of q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbabbbbabbaabbbabb. Give prob of sequence bba.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(-20)*f)))\/f)\/(f\/(f**(-6\/23)\/f)) assuming f is positive.\nAnswer: f**(-489\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 5*n**2 + 2*n + 1. List the prime factors of l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 1:19 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51\/1799 + -208891\/7622363. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p - 6*p + 2*p + 12 - 2*p. Let m(n) = 7. Let a(v) = -6. Let i(x) = -4*a(x) - 3*m(x). Let j(c) = 5. Let o(d) = 7*i(d) - 4*j(d). Give k(h) - 10*o(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1425390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 715 = 4*z, -207 = -2*z - 3*j + 156. Calculate the greatest common divisor of z and 864.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116, 234, 352, 470, 588, 706?\n\"Answer: 118*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:17 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 - 64687*i**3\/3 - 129371*i**2\/3 - 64685*i\/3 = 0. What is i?\nAnswer: -64685, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4\/5 (c) 5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 1. Let n(d) = d - 7. Let j be n(7). Let v = j - 1. Let k(x) = -31*x**3 + 2 - 3 + 29*x**3. Determine v*z(w) + k(w).\nAnswer: -2*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -1093*x**4 - 2075608*x**3 - 2076413*x**2 - 1898*x = 0.\nAnswer: -1898, -1, -1\/1093, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 8 = 14*m - 10*m, 69*y - 171 = -176*m + 74*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28611531.\nAnswer: 3, 13, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 8, -8, -44, -106, -200?\n\"Answer: -x**3 - x**2 + 8*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 88\nAnswer: -7\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10 - (5120\/(-50))\/16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -588, -940, -1052, -924, -556, 52?\n\"Answer: 120*x**2 - 712*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4\/3 - 1036*x**3\/3 - 19976*x**2 - 944528*x\/3 + 2137120\/3 = 0. What is x?\nAnswer: -185, -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -481 (b) -4\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6118031142 - 188.\nAnswer: -6118031330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 984354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*6\/252*7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.688, -5, 0.2, 2\/3.\nAnswer: -5, 0.2, 2\/3, 0.688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118193970539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-24)\/h)\/h)\/h*h)\/(h\/(h*h\/(((h\/h**(-22))\/h)\/h))) assuming h is positive.\nAnswer: h**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9 = -2*k, 2*k = -5*x - 2*k + 39. Suppose 4*d + x - 19 = 0. Let h = -0.2 + 0.3. What is the biggest value in d, -2\/7, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(2*sqrt(6)) - sqrt(44) - sqrt(44))**2 + 5*(sqrt(11) - (sqrt(11) - (-2 + 0 + sqrt(11) - sqrt(11)))).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3137*x + 458007. Give z(-146).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*y = 57, -5*k + 8*k + 5*y = 57. What is the remainder when 92 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((9 - (-2 + 4)) + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 1. Let s(r) = r - 1. Let h(v) = 4*c(v) - 3*s(v). What is h(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 22 = -7*k. Suppose -n - 5*m = -0 - 19, k*n - m = 5. What is the second biggest value in -3, -5, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 910 or 909?\nAnswer: 909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3412463960.\nAnswer: 2, 5, 85311599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -2, -2\/5, 5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*k - 434*k - 96*k)*(2*k + 6 + 0 - 5) in the form h + u*k + w*k**2 and give w.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158246*d**2 - 48 + 4 + 44 + 200530*d**2.\nAnswer: 358776*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 16*v + 24. Is -7\/9 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5148 divided by 11.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let y(v) = -4*v - 3. Suppose 2*r + 36 = 5*r. Suppose 3*s - 6*s = -3*n + r, 2*n = s + 6. What is n*y(g) + 6*b(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 4*b + 2. Let h be s(-2). Solve -30 = -8*q + h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -67. Suppose 0 = -b + 4*n + 10, 0 = 2*b - 3*b + c*n + 8. Suppose 2*j = j + b. Solve j = -t + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330144 (base 7) to base 8.\nAnswer: -526372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -45) + -27 - (-25 - -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 82*h - 72. Is 72 a factor of k(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3301788 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 7*b + 6. Let n be j(2). Find the second derivative of 17*o + 15*o**5 + 3*o**4 - 3*o**n wrt o.\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*n - 41. Calculate the highest common factor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.5*11.9.\nAnswer: 77.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 251? (a) 1 (b) 0.19 (c) 19\/1838\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12604*j**2 + 8672*j.\nAnswer: 25208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 128 = -2*l, f + 3*f + l = 105. Calculate the lowest common multiple of f and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 3, -2\/9, 29\/3, -1.\nAnswer: -1, -3\/7, -2\/9, 3, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y**4 + 8060*y**3 + 1237916*y**2 - 40672460*y - 380993528 = 0. What is y?\nAnswer: -349, -23\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 6. Let u(z) = z + 1. Give b(n) + 5*u(n).\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204322 + 204361 = -5*w - 3*r, 7*w - 69 = 20*w - 3*r for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378 = -s - 55. Let j = 1948 - s. Suppose -y + 645 = -3*b, y + 4*b - 2*b = j. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 7*k**2 - k + 8. Let y be u(-4). Let v = -34 - -31.8. Let q = -2.7 - v. Which is the third smallest value? (a) -5 (b) y (c) 4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61344 by 2556.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 23. Suppose -n + 10 = 4*n. Let x be (-37)\/(-30) - n\/(-12). Which is greater: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 21*j**2 + 3*j - 2. Is u(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -6.17.\nAnswer: -0.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27749583 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 1 = 7*b + t, -2*b - 5*t = -18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 473812 or -22?\nAnswer: 473812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46728.67 + 45885. Let c = 840 + p. Round c to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33207, -64738, -96271, -127806?\n\"Answer: -a**2 - 31528*a - 1678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/8)\/((-1)\/(-3)). Let h = -21.5 + 17.5. Let x = 24\/29 + -183\/116. Which is the nearest to -1? (a) x (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = 3374*v - 3330*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3 + 16*l**2 - 5*l**4 + 55*l - 30*l**2 + 14*l**2 wrt l?\nAnswer: -60*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 1 - (3 - 4). Solve t = -v - y - 3, 13 = 3*v - 4*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from zbzgzbzzzzmgbgbzzzbz?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - 2a?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2891*s - 79*s**2 - 219*s**2 + 13133 - 4342 + 297*s**2 - 639*s with respect to s.\nAnswer: -2*s + 2252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71\/5 of a gram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 530, 60, -740, -1870, -3330, -5120, -7240?\n\"Answer: -165*d**2 + 25*d + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*m + 4*s - 10, 5*m - 2*s + 3 = 0. What is the highest common factor of 4 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 192*l**2 + 6*l - 631. Let d be b(96). Put -1, 4, 2, d, 3 in descending order.\nAnswer: 4, 3, 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let c = 182 + -158.2. Let f = c - 23.8. What is the nearest to 3 in p, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11538?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -9, -3\/2 in decreasing order.\nAnswer: 0.2, -3\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 15. Let z(a) = a**3 - a**2 + a. Let h(f) = -6*f**3 - 3*f**2 - 4*f - 1. Let l(c) = t*z(c) - h(c). List the prime factors of l(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - h - 4 = 1, -11768*h = -11769*h - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14344794 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 4. Let r be o(-7). Let g(x) = -x**3 - 26*x**2 + 51*x + 659. Let l be g(-27). Solve r*u + l = 2*k - 7*k, -k + 3*u = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/591345 and -37\/495.\nAnswer: 6504795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 8, -2\/159, 3\/8 in descending order.\nAnswer: 8, 3\/8, -2\/159, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7184254 + 20*c**2 + 7184254.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (-3*(((sqrt(65) - sqrt(65)*-2) + sqrt(65) - sqrt(65)) + sqrt(65) - sqrt(65)) + sqrt(65)))\/sqrt(5).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 819*u + 11275. What is y(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.299 + 0.399. Let r be -2 + (0 - -2) - -2. Let x(u) = -u**3 + 2*u**2 - 1. Let i be x(r). Which is the third smallest value? (a) i (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t + 8. Let a(c) = -c**2 - c + 6. Let d be a(3). What is the tens digit of m(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(-1*sqrt(160)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47327\/37 + 1279. Let s = 13\/222 - o. Which is the closest to 2? (a) -2\/9 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21253, 42449, 63643, 84835, 106025, 127213, 148399?\n\"Answer: -i**2 + 21199*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -4*w, 140*w = 135*w + 20. Solve -3*v = -q + 2*q - m, -v + 24 = 4*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**6\/150 + s**5\/100 + s**4\/60 - s**3\/30 + 2*s + 13. Let c(j) be the first derivative of w(j). Solve c(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 16. What is r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 - 84609*k**2\/5 + 338472*k\/5 - 338484\/5.\nAnswer: -3*(k - 2)**2*(k + 28207)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.56 in -5, 3\/5, 2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 13*l**2 - 5*l - 17. Is f(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**2 - 1\/20*o**6 + 0 + 5*o - 5\/2*o**3 + 0*o**4 - 1\/60*o**5. What is the third derivative of q(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5894840 and 815332.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-988*z + 680*z + 11 - 15)*(2*z + 3 - 3) as o*z + q + a*z**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -607355088 + 0.13\nAnswer: -607355087.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21800\/39240*(-3)\/(45\/(-24))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 74060\/392 - 12\/8. Is 186 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1760 and 4202?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 3*x - x = -42*x. Let l(p) be the third derivative of x*p + 0 - 1\/270*p**5 + 4\/27*p**3 - 18*p**2 + 0*p**4. Determine a so that l(a) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) - 114\/(-7). Suppose 3*l - l + 4*g = z, 3*l - 15 = -3*g. Solve 2 = -c - l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450123*p - 900363*p + 450227*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-1) - (-92)\/23. Calculate the greatest common divisor of 57 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-38)))\/s*s*s)\/((s*s**37*s)\/s) assuming s is positive.\nAnswer: s**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1468*k + 6081 - 6079 + 3630*k + 11302*k)*((-2 - 4 + 4)*(3*k - 3*k + 2*k) + 0*k - 3*k + 2*k) to h*k + a + u*k**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137760*i**2*w + 7*w - 12878 wrt i.\nAnswer: -275520*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 367811\nAnswer: -5\/367811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -103445*t - 80. Let q be j(-4). What is q rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 + -295. Solve 18*c - 12 = d*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v = 195*v + 3375 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v + 2 = 0. Suppose 9*i = 27*i + 360. Let s be (-2)\/i + -2 + (-6)\/(-4). What is the nearest to -0.2 in v, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6424.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:47 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89028313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 + -106. Suppose 3*i = i + 5*r + 15, 0 = -2*i + 4*r + 14. Suppose 0 = i*h + g - 39, 0 = h - z*h - 3*g + 13. Solve -u + 5*u = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3512? (a) -0.3 (b) -1\/2 (c) -23 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115866195?\nAnswer: 3, 5, 613, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 39 - 12 - -13 - (3 - 57)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403203 (base 5) in base 14?\nAnswer: -a597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37934248 by 2.\nAnswer: 18967124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyny when four letters picked without replacement from {n: 6, y: 13}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41366*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.84? (a) 2 (b) 46 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177409918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Suppose -t = w - 3. Let o(d) = 58*d + 121. Let x be o(-2). Solve -w*i = -x*n + 4, -4*i - n - 2 = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 5. Let q(f) be the third derivative of -f**4\/4 + f**3\/3 + 4*f**2. Is q(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22320 - 10?\nAnswer: -22330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8 - 0. Suppose -2*a = 3*a + 25, -f*c = -4*a - 28. Put -2, c, 5 in decreasing order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7*d = -78. Suppose -d*j = 9 - 35. Solve j*c + 13 = 5*y, -9 = -4*y + 4*c + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-17\/4)\/(((w\/w**1)\/w)\/w*w) assuming w is positive.\nAnswer: w**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.8877 + 0.1123. What is the fourth smallest value in -6, -2, 2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 - 9 = 5*m, 2*m + 8 = -i. Let z be (m\/(-2)*20)\/1. Suppose -2*j + d - z = -5*j, -2*d + 32 = 2*j. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h - 14. Suppose 0 = 4*b - 3*b + 4*b. Determine n(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*d = -292449980, 20*d - 17*d = -x + 58490012. What is x rounded to the nearest 1000000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -1364.57593426898?\nAnswer: -1359.57593426898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llldwxflllfdlfppl. What is prob of sequence lxdd?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b - 4. Let o be r(-4). Put -5, o, 5 in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4462?\nAnswer: 2\/2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 221.918 * 0.5.\nAnswer: 110.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 281*y - 2427. Calculate t(8).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -110, -132, -164, -206, -258, -320?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 6*n**2 - 5*n**2)*(0 + 2 + 0)*(201 - 3 + 20).\nAnswer: -436*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 42, 82, 138, 210, 298, 402?\n\"Answer: 8*p**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10133.78 and -0.5.\nAnswer: 5066.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(2\/6). Suppose -3*c + 4 + 2 = 0. Find the second derivative of -h - 1 + k*h**c + 1 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (sqrt(75)*4 - sqrt(75)) - (-5 + 3*sqrt(75)))*-5)**2*-6.\nAnswer: -345600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 1. Let b = 40 + -35. Let k be 12\/2 - (-6 + (-120)\/(-10)). Solve -b*m + k*m - 4*y = -p, -4*m = -2*y + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 199 + 21 - (-1 - -4). Let v = s - -44. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/2 - r**2 - r. What is the remainder when a(11) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7693, -7698, -7703?\nAnswer: -7708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(3 - (-4)\/(-2)). Let v be 2\/3 + z\/6. Is (-1)\/2 + 92\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(486\/12) - 3568\/(-18)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -5.2 (c) -1 (d) -37 (e) -488\/9 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {u: 4, p: 2, q: 1, a: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-20) + 220\/225 + (-2)\/(-9). Sort k, 444, -5, 4 in decreasing order.\nAnswer: 444, 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2326 - -10109. Is 181 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(sqrt(1700) + 0 - sqrt(1700)) + (sqrt(1700)*-2 - sqrt(1700))*6 + 5 + 4*(-1 + sqrt(1700)))**2.\nAnswer: -1332804 + 1120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993085.\nAnswer: 5, 389, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (203 + 14*f + 206 - 419)*(-3 + 5 + 3) to the form s + n*f and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/5 - 4*z**4\/3 + 8*z**3\/3 + 35*z - 14. Factor l(m).\nAnswer: 4*m*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + c**5\/12 - c**4\/24 + 36*c**2 - 2. Determine d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5496)\/16*1*-2. Let c be 744\/180 - (-1 + 34\/30). Suppose -c*u + y = 215. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**33*r*r\/(r**(-3\/17)*r))**50 assuming r is positive.\nAnswer: r**(29900\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1113.087046 - 0.2.\nAnswer: 1112.887046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 289*a**3 + 119*a**2 - 119*a. Let n(f) = 12*f**3 + 5*f**2 - 5*f. What is 119*n(d) - 5*r(d)?\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 208*f**2*j + 743*f*j + 528815*j wrt f.\nAnswer: 416*f*j + 743*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*((sqrt(28)*2)\/sqrt(4) + 3)**2.\nAnswer: -187 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35189.76 + -35189.7. Let r = 0.1 + 0.4. Which is the closest to 2? (a) h (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4850 and 2037.\nAnswer: 101850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.5. Let w be (-6)\/(-1) + -5 + 1. Sort v, 0, w.\nAnswer: 0, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-868)\/(-210)*(-45)\/(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + n = -47 + 18, 5*g = n + 36. Suppose 0 = -4*d + 43 + 53. What is the remainder when d is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2. Let v(o) be the third derivative of -649*o**5\/60 + 359*o**2. What is v(p(j))?\nAnswer: -16225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17402.8 - -241.336?\nAnswer: -17161.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.65857 millilitres in litres?\nAnswer: 0.09065857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d - 8 = -265 - 51 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 51737.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 6\/32101261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*3)\/((-3)\/(-9)). Let i(d) = o + 5003*d + 4 + 2. Let k be i(-5). What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5429 = 2327. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/64*((-16)\/66 + 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 + -148 + (1 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -41, -83, -145, -233?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/21 and 93\/(-15) - (5\/(-3) + 1).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810\/60 - 1\/6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 289 + -221. Calculate the remainder when 24 is divided by (w\/6)\/(88\/132).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*108\/(-4200)*(-49)\/21.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1889685 divided by 38565?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1083, -2164, -3243, -4320, -5395?\n\"Answer: m**2 - 1084*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243 is divided by 585.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/6179?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(7*p + 13*p - 17*p - 95*p**2).\nAnswer: -95*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 18 + 41*a - 86*a + 47*a. Does 7 divide c(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuutqnnuunu. What is prob of sequence tn?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8754 - 8740. Solve -10*p = -5*c - t*p + 1, 5*p = -5*c + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 46 + 48 + 451*j.\nAnswer: 451*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:55 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 10*r**2 - 5*r + 1. Is j(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*w**5*y + 624*w**4*y**2 + 23450*w**2*y**2 - y**2 wrt w?\nAnswer: -2640*w**2*y + 14976*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/20 - 9*y**5\/40 + y**3 - 31*y. Factor f(q).\nAnswer: -3*q*(q - 1)*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 + 2*z**2 - 9*z - 2. Let v(p) = -p**3 - p**2 + p + 1. Calculate -s(o) - 2*v(o).\nAnswer: -3*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 31243584 in ascending order.\nAnswer: -9, -3, 31243584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19955 - -40032. What is the thousands digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*h**2 - 45*h**2 + 180*h**2 + 3*h**2 + 3*h**2 - 5*h**2 + (-3*h**2 - 2*h**2 + 2*h**2)*(-1 + 0 + 2) to the form f*h**2 + v*h + a and give f.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 11*z**3 - 368*z**2 + 184*z**2 + 184*z**2 + 8*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + -10) - 24\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1188632 times 8\nAnswer: -9509056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*g + 97 = 114, 11 = -5*r - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 75, 3, 5\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/4 + 5501*r\/4 + 13765\/2 = 0. What is r?\nAnswer: -5, 5506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1)*(-1 - -684). Suppose -5*k = -17 - l. Is 29 a factor of ((-240)\/k)\/(2\/(-154))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16498\/24711 + -8\/8237. Solve -50\/9 + 130\/9*m + n*m**3 + 58\/9*m**2 = 0 for m.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2597850.5?\nAnswer: 1298925.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1001000110111011111 (base 2) to base 16\nAnswer: 48ddf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1359 + 1961. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23\/2 + -119\/10. Let z be 1 + (-2*1)\/2. Suppose 0*i - 5*i + 5 = z. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 13 = 5*f - 3*r, -8 = 3*f + r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54170, -54174, -54176, -54176, -54174?\n\"Answer: v**2 - 7*v - 54164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292670169.\nAnswer: 3, 11, 43, 206251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*u - 29*u + 61*u + 129*u.\nAnswer: 456*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25154, 25208, 25454, 25988, 26906, 28304, 30278, 32924?\n\"Answer: 16*a**3 - 58*a + 25196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27176054.199714 + 2.\nAnswer: 27176056.199714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -9. Let y(z) = -z**3 - 3*z**2 + 5*z + 6. Let m be y(g). Solve -v = -3*v + m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/54*24)\/2. Suppose -4*y - 2*s = y - 3, y - 7 = -2*s. Which is the fourth smallest value? (a) -0.2 (b) y (c) -0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/((-33)\/88). Suppose -3*m + 3*s + 39 = 0, f*s + 28 = 2*m - 0*m. Let d(n) = -n**2 + 12*n - 17. Let q be d(m). Round q to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -412.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeheeeebbebboeebbobe. What is prob of sequence be?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/60 + b**4\/6 - 5*b**3\/2 + 13*b**2 - 1. Let q(v) = -v**2 - 3*v + 10. What is 7*q(o) + 5*r(o)?\nAnswer: -2*o**2 - o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*a - 8 = -i, 0 = -3*i - 3*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2879893434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a**2 - 6*a + 5*a**2 + 3 + 1. Let l be h(-10). Suppose 3*b - 737 - l = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48941, -48953, -48971, -48995, -49025?\nAnswer: -49061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2126263 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from {d: 3, o: 1, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - 4*k - 23. Let x be g(0). What is the hundreds digit of x\/((-138)\/5076) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 8*k + 9. Let w(v) = 3*v - 5. Let g be w(4). List the prime factors of q(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1382.0621 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -2\/203, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 34) + (-13 - -2) + 3 + -67.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138093 and 8214003.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42919853.2066 - -3\nAnswer: -42919850.2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/35 + (-58)\/(-56)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 719389940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -839*m**3*u**3*x + 2*m**3*u**2*x**2 - m**2*u**3*x**2 - m*u*x**2 - 7*u**3*x - 78*x**2 wrt m.\nAnswer: -5034*u**3*x + 12*u**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 101*j - 2407. Let s be r(68). Is s greater than or equal to 339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*p**2 - 1 + (-p - p - p)*(9 - 9 + 6*p) - 51*p**2 - 110*p + 110*p.\nAnswer: -67*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/3 - 2965*q**4 + 213034*q**3\/3 - 384474*q**2 + 1703317*q\/3 - 251345 = 0.\nAnswer: 1, 5, 17, 8871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1)\/11 - 0). Let z be (12\/(-8))\/((-9)\/96). Let j = z - d. Solve -j = -0*m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 462*w**2 + 471*w**2 + 13 - w**3 - 1386*w**2 + 454*w**2. Let a(k) = -k + 2. Let g be a(2). What is t(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - -9. Let d = -98 + a. Suppose -d*u + z + 317 = -2*u, 0 = -5*z - 10. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 71. Let z = u - 28. What are the prime factors of ((-6)\/4)\/((-6)\/z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10154528 + -0.0062\nAnswer: -10154528.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 97 + 8. Suppose -l + 3*w + 17 = 0, -4*l - 3*w + k = -2. Suppose l = -4*g, -86 = -s - g - 2*g. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -854 - -571. Let x = s + 283.4. Which is the third biggest value? (a) 2\/7 (b) x (c) 0.1 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -27\/2, -2\/3, 0.1008 in decreasing order.\nAnswer: 0.1008, -0.5, -2\/3, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.1235 to 0 decimal places.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6628, -22042, -46236, -79210, -120964, -171498?\nAnswer: -230812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 9:13 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18177385539 - -18177385405.00000147. Let z = 23 - -111. Let p = d + z. Round p to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5480*n**3*z**3 + n**3 + 4*n**2*z**3 - 3*n*z**3 - 3*n*z - 109*n + 4*z**3 - 4*z**2 wrt n.\nAnswer: -32880*n*z**3 + 6*n + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744129 is divided by 141.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + 8) - (-1 - (5 + -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*192437.\nAnswer: -19243.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2596)\/(-295)*((-4)\/14)\/((-40)\/350)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2 + 3 - 2 + 3 + 3 - 6*j. Let m(r) = -2*r + r + 1 + 0. Suppose 0 = 4*u - 8*u - 4. What is u*t(n) + 5*m(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130708467?\nAnswer: 3, 19, 593, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -846 in 0.1, -0.1, -2.4, 2?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6697 - -2.65. Let l = 0.0197634 + h. What is l rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + -101?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 2*n. Suppose -w + 3*v = 3*w - 20, -3*w + n*v + 16 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/15 - 2 - 15*(-195)\/(-3375)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b. Suppose b = -p - 5*z + 53, -3*p + 4*z + 69 = z. 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: -2510 (base 6) to base 11\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30637820736.99999594 + -30637820406. Let m = -331 + g. What is m rounded to 7 decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n - 261*n + 3042 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/1)\/(78\/8580*-66).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 minus -0.05370592?\nAnswer: -29.94629408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 5*f + 4*y, 5*f + 147 = -5*y - 33 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 902 + 0*y**2 + 3*y**3 - 935 + y**2 to q + s*y**2 + o*y + l*y**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159 or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37056365*f**2 + f - 19038261 wrt f?\nAnswer: 74112730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q, 2*q + 1 = -2*i + 7. Let g(n) = n**2 - 9*n - 89. Let c be g(-6). Let v be 12\/(-8)*2\/c + 8. Solve 3*m = v*b + 9 - 37, -i*b + 19 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366246767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2\/17 (c) -18 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 470450781 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 5*b = 53, -4*y - 90 + 101 = 5*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 - -1 - (-2 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8568 divide 334331928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-12)*1\/(6\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1152\/76579 or 0?\nAnswer: 1152\/76579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (9 + (-12 - -8) + -15 - -14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4*2\/(-16))\/(-1)*-18 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.132 or 4?\nAnswer: -1.132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 8*a + 28. Let v(y) = y**2 + 8*y - 2. Let o be v(a). Let r be (5\/2)\/(o\/(-18)). Solve 7 + r = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -350, -3427, -11894, -28445, -55774, -96575, -153542, -229369?\n\"Answer: -449*m**3 - m**2 + 69*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-28))\/(50\/(-175)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1474*s - 1481*s - 1)*(133*s**2 + 126*s**2 - 254*s**2).\nAnswer: -35*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3.629 * -3\nAnswer: 10.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(-6)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1973 - -2703. Solve -18*r + 622 - h = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1204071590.\nAnswer: -1204071590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -25921596?\nAnswer: -3\/8640532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/171, 52, -0.1, 0.765 in decreasing order.\nAnswer: 52, 0.765, 2\/171, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 27*v + 227. Let o be n(0). Let t be 0\/(-1) + 64 + 3. Suppose -s - 4*b = -t, 0 = 3*s - 2*b - o + 40. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v = -36*v + 9. Let x be v\/135*-5*3. What is the closest to 0.02 in 0.3, x, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5108 = -27252. Let d be 6\/33 - w\/(-44). What is the highest common divisor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588766827?\nAnswer: 3, 11, 73, 244403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168460 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {g: 1, l: 1, k: 1, u: 1, o: 2, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 23*u**7\/2520 + u**5\/60 - 13*u**4\/6 - 8*u. Let g(f) be the third derivative of s(f). Is g(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -833\/8 + 104. Let w = 7 - 6.6. Which is the smallest value? (a) x (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - -1 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 495?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5805 - -5863. Solve q = -20*m - 42 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c**3 - 24*c**2 + 24*c - 10. Let i(s) = 32*s**3 - 51*s**2 + 48*s - 20. Let t(h) = -7*b(h) + 3*i(h). Calculate t(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/6 - 2*m**3\/3 + 2*m + 7. What is the second derivative of x(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*g - 205*g - 40 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**2 + 5\/2*w**3 + 10 + 45\/2*w.\nAnswer: 5*(w + 1)**2*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 105*k**2. Let r(h) = -11*h - 3. Give b(r(y)).\nAnswer: 12705*y**2 + 6930*y + 945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**5\/130 - v**4\/78 + 4*v**3\/13 + 25*v - 4. Solve f(q) = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38643 is divided by 191.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/17 - 1822626*f**2\/17 - 415248425910*f\/17 - 1245728874150\/17 = 0 for f.\nAnswer: -455655, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w**3 - 120*w**2 + 135*w = 0.\nAnswer: 0, 9\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -32, -40, -44, -44, -40?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7662.2833 to the nearest integer.\nAnswer: -7662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**29\/u*u))\/u)\/((u*(u**13\/u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 125 = -5*m, -3*m + 4*m + 41 + 34 = -4*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100961*q**3 + 96300*q**3 + 2 - 2.\nAnswer: -4661*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114075)\/(-97200) + (-1)\/(-32)*-2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1*5\/40). Let t be (-6)\/(-48)*d + -458001. Round t to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 + -148. Suppose 10*y - w = 2*y. Solve -m + y*r + 8 = -0*r, 0 = 2*m + 5*r + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5828, -5830, -5832, -5834?\n\"Answer: -2*w - 5826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 291*h**4 + 300 + 9*h**5 - 211*h**2 + 11*h**5 - 1255*h**3 + 1235*h + 46*h**2 - 426*h**4 = 0. Calculate h.\nAnswer: -5, -1, -1\/4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 15) to base 13\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0132772 litres to millilitres.\nAnswer: 13.2772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238 divided by 2?\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -3*r + 12, -2*r - 18447751*v - 5 = -18447752*v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -31*p - 27. Let j be 141\/p - (-7 + 130\/18). Solve 3*t - 3*m + 0*m - 12 = 0, j*m - 15 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35607640, -35607714, -35607838, -35608012, -35608236?\nAnswer: -35608510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - h**3 + h**3 + (-11*h**2 + 2*h**2 + 6*h**2)*(0*h + 4*h - 5*h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 0 (c) -1\/3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*q + 9, -3*q - 4*t = -1954 + 1948 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*h**5*r*u - 85*h**5*u**3 - 53*h**2*r*u**2 - h**2*r*u - h**2*u - 4*h*r - 4*u**3 wrt h.\nAnswer: 8520*h**2*r*u - 5100*h**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(1872)) - -3*(sqrt(1872) - sqrt(1872)*-2)) + -3.\nAnswer: 3 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/12, 9784\/3, 3\/4 in ascending order.\nAnswer: -1\/4, 1\/12, 3\/4, 9784\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 2*c + c)*(-4*c**2 + 6*c**2 + 3*c**2 + (3*c + 0*c - c)*(-c + 2 - 2) + 4*c + c**2 - 4*c) in the form v*c**2 + l + r*c + a*c**3 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 518*q**4 - q - 5885*q**2 + 2942*q**2 + 8*q**5 - q + 2943*q**2 + 6759 wrt q?\nAnswer: 160*q**3 + 6216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (72\/30)\/(9\/30)*1. Let f be (3 - 0) + (-1 - -3). Suppose f*l = -0*l + 10. Calculate the highest common factor of m and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73*r + 26 - 26)*(-39 - 11*r**2 + 39) to n*r**2 + c*r**3 + o*r + j and give c.\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1327427 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 8*v - 2. Let b be t(-7). Let i = 438\/5 - 88. What is the nearest to -0.1 in b, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85004 is divided by 21167.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 307558 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44302, -88607, -132912?\n\"Answer: -44305*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 650502 (base 10) to base 15\nAnswer: ccb1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146 - 8.164?\nAnswer: -8.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -271 (base 9) to base 5.\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1121?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxu when three letters picked without replacement from {u: 7, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and -89\/382?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*u + 1. Suppose -u*g + 3*s = -919, 2*s - 3*s + 228 = g. What are the prime factors of g?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129.91061 - 1073395.8\nAnswer: -1073525.71061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -439\nAnswer: 1\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.7 (b) 84\/13 (c) 1.28 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/54)\/(4\/24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let o be 1\/2*(-5 - -3). Let x(t) = -2*t**2 - 8*t + 8. What is o*x(z) - 8*w(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87834 and 36?\nAnswer: 527004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 1.94. Let q = 0.5 + -0.3. Put r, -3, q in decreasing order.\nAnswer: q, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69aa95 (base 12) to base 15.\nAnswer: -23839e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*a*b**5 + 562*a*b**4 - 22*a*b + b**3 + 3*b**2 - 31*b wrt b.\nAnswer: -840*a*b**2 + 13488*a*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 88 = 2*k, 5*k = -0*w + 4*w + 217. What is the smallest common multiple of k and 130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20 - 12 + 24 + 699*k + 9 - 1251*k**2 wrt k?\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1583981, -6335958, -14255925, -25343888, -39599853, -57023826, -77615813, -101375820?\nAnswer: -128303853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and -0.101?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100414959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697556458.\nAnswer: 2, 13, 65290633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.416 - 18.5. Is 0.1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79)\/(-27) + ((-2)\/1 - 1).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/525 + v**6\/100 + v**5\/75 - 35*v**2. Find i such that k(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/31)\/((-14)\/(-3))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/18 and -143\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 25*r**2 + 82*r - 103. What is b(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755 = -130*f + 415 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -8*g + 22. Solve 3*j + 0 = -2*m + 1, g = 5*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 63 = 3*r + 51, z - 4 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1110*o - 445100. What is r(-401)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1 - 5*j**2 + 6*j**2 - 2*j**2. Let k = -2 + 4. Calculate h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*c + 2*c**4 + 3*c**3 + 3 + 0*c**3 - 26*c to the form j + x*c**3 + s*c**4 + i*c**2 + r*c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1 + -2)*3. Let h be (2\/4)\/(n\/60). Is (-4)\/10 - (-894)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 + -99. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-8 - -25) - (-8 - 0) - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 0, -2, -5.\nAnswer: -55, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x + 4. Let z(a) = -4*a + 3. Suppose 5*l + 16 = 3*n, -3*l + 2 = 2*n - 2*l. Let t be -2*(-8)\/n - 2. Determine t*z(b) - 5*j(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrrr when four letters picked without replacement from {l: 5, r: 3, k: 1, m: 1, e: 1, t: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 + -265. Let l = -41.369 - a. Round l to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1044*o**2 - o + 3137*o**2 - o**3 + 183*o**2 - 602 + 602 as t*o**3 + p + w*o + a*o**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.88 - -3.88. Let h = -2.7 + 3. Let t = -3.02 + 0.02. What is the closest to x in 2\/7, h, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4468.6 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14029*a + 28054*a + 40*a**2 - 14025*a. Let d(m) = -35*m**2. Give d(b(u)).\nAnswer: -56000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(7\/5)\/((q\/(q*q*q**(1\/4)))\/q)*q**(-2\/7)\/q*q*q**(-1\/3) assuming q is positive.\nAnswer: q**(1273\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9342.163ml in litres?\nAnswer: 9.342163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Let k(p) = -2*p + 2408. Determine v(k(z)).\nAnswer: 4*z - 4816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 7*l + 1. Let z(j) = j**3 - 4*j**2 - 4*j + 3. Let o be z(5). What is the remainder when c(o) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-2193)\/645)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/3 + 44*s**4\/3 - 236*s**3\/3 - 136*s**2\/3 + 814*s\/3 - 484\/3 = 0?\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + q. Let n(l) = 2*l**2 - 3*l. Let c(g) = 3*a(g) + n(g). Let d(r) be the first derivative of 2 + 2*r**2 + r**2 - 4*r**2. Calculate d(c(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) -0.4 (c) -991\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0457 and 1146.\nAnswer: 52.3722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-48)\/10)*4*1\/(-6)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 11:53 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 - 8280*q + 3427920 = 0. Calculate q.\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5404 - 5394 = 4*b, 30 = -5*d + 4*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-8))\/(9\/4)*-24. Put s, 2, -4 in descending order.\nAnswer: 2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -853540419106 + 27\nAnswer: -853540419079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 663101 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 12 - 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3\/4 (b) 4\/7 (c) -1\/4 (d) -9\/2 (e) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9274?\nAnswer: 2, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/999460 and 83\/67100.\nAnswer: 304835300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cc + 3?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -324 + 570. Calculate the remainder when d is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7356 + 11125. Is 30 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11750405?\nAnswer: 5, 2350081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 13*s = -8*r - 26, -5*s = -4*r - 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7648, 30915, 69694, 123985?\nAnswer: 193788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 - 245 - (-39 - -199)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, w: 1, p: 2, m: 2}. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 24*q - 23. Let j be o(-12). Suppose n - 6*n + j = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41748*f**2 - 2*f*z**2 - 5721280*z**2 with respect to f.\nAnswer: 83496*f - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18563 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -368, -410, 1340, 6370, 16168, 32222, 56020?\n\"Answer: 248*j**3 - 592*j**2 - 2*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11805 is divided by 5333?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (4 + 3 + 3 + sqrt(242) + sqrt(242) - 5*((4*sqrt(242)*-2)**2 - sqrt(242))).\nAnswer: -77429 + 77*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93681559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 4:13 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1873\/3 + -33731\/54. Calculate the common denominator of -131\/12 and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11229247 + -3?\nAnswer: -1122924a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 3*w**2 + 3*w**2 + (2*w + 3 - 3)*(-3 + 3 - 8*w).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**5 + t**5 + 3*t**5)*(-1 - 2 + 4) + 10*t**5 - 3*t**5 + 12*t**5 + t**5 + 0 + 0 + (5*t - 4*t - 2*t)*(3 - t**4 - 3).\nAnswer: 23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 2*t**2 - 2*t. Let u be (-10)\/(-3) - (-4)\/(-12). Let v be y(u). Find the third derivative of v*o**2 + o**5 + 2*o**5 - 2*o**5 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24879.51 decades?\nAnswer: 248.7951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27021, 54045, 81069, 108093?\nAnswer: 135117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/81 - 4\/18. Put 4, u, 5 in ascending order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -2*u - 3*u + 4*g, 5*u = 2*g + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/210)\/(((-26)\/(-40))\/13). Solve m*c - 5*q + 12 = -c, 4*q - 9 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30745251?\nAnswer: 3, 379571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 17*b + 28. Suppose -b*q + 663 + 265 = 0. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.554 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:17 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 less than 929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 75. Let z(f) = -3*f. Give z(l(t)).\nAnswer: -6*t - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 2482286?\nAnswer: -22\/1241143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = -12779*b + 12757*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -840 - -843. Solve 21 = -2*i - o*k, 2*i - 5*i - 14 = k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = -4. Let x be 4 + -3 + u + 1. Let i(a) = a**3 - 4*a**2 + 5*a - 2. What is the units digit of i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 77?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 0*k + 15\/4*k**4 + 0*k**3 - 7\/2*k**2 - 6. What is the second derivative of g(l) wrt l?\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0)\/(562198\/(-182)). Which is smaller: 2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -616220 (base 7) to base 11.\nAnswer: -72220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 27.4. What is the second smallest value in 0, x, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 914*f + 8*f**2 - 20*f**5 - 914*f + 11*f**4 + 18*f**5 wrt f?\nAnswer: -120*f**2 + 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3144310 (base 5) to base 14\nAnswer: 154b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*x**2 - 1057*x**2 + 512*x**2.\nAnswer: -73*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/4 + 2559*y\/4 + 12745\/2 = 0.\nAnswer: -2549, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13348 - -0.02?\nAnswer: -13347.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 94621.08 tonnes in milligrams?\nAnswer: 94621080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o - 8. Let i(v) = 11*v - 15. Let c(a) = -3*i(a) + 5*p(a). Differentiate c(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1949 - -3143. List the prime factors of (v\/(-4))\/((-12)\/80*5).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16244904.\nAnswer: 2, 3, 13, 52067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068872527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 2. Let l be -5 + 1 - (-3 - -4) - 1. What is v(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 38117 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/22 + 3289\/121 + -12. Suppose -88*t = -85*t - u. Solve -t*j - 31 = -2*q, -10 = 2*j - 3*j - 5*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3381 - 3381.4633. Round t to two decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48910 (b) 1 (c) -1 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668850.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 117273 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 t when four letters picked without replacement from tctthccctccttcctttc.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 6*a - a - 7*a)*(2 + 2 - 6).\nAnswer: 4*a - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 2*x - x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**3\/6 + 3*q. Let d be 3\/2*(-1 - -3). What is b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a + 99 = 34*a - 311 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1 - 2 - 75*j + 0 - 74*j + 148*j. Let o(p) = p**2 + 5*p - 5. Let t be o(-5). Let b = -10 - t. Calculate l(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11376704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -0*x. Let u = x + 12. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22715 times -29.3\nAnswer: -665549.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48999 and 117?\nAnswer: 1910961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 18532780.\nAnswer: 1\/1853278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g. Let c(q) = 15*q. Let u(o) = 5*o. Let s(j) = 6*c(j) - 17*u(j). Let i(y) = 5*p(y) + 6*s(y). Let h(v) = 2*v. Determine i(h(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.074 + 0.074. Which is the fourth smallest value? (a) -0.4 (b) 0.5 (c) -2\/21 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 32 - 8. Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4922224865.\nAnswer: 5, 41, 1697, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3 - 2*k - 3*k + 4*k. Let a be (-24)\/6 + 0 - -10. Let c(x) = -2. Let y(m) = a*c(m) - 4*v(m). Let u(f) = -4*f. Determine u(y(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 56*i + 2367. Give r(-43).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 583\/355 + 5 + -4 + -2. Let u = y - 3\/71. Factor -1\/5*x**2 - u*x - 2\/5.\nAnswer: -(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f. Let c(n) = 6385*n. What is r(c(g))?\nAnswer: 89390*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79230 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -699 + 699.12182. Let m = n - 0.123. What is m rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*v - 1, -25*l - 6 = -27*l + 4*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/30*(-40)\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -256379 divided by -6\nAnswer: 256379\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 9*g - 12. Let i = 66 - 59. Let a be n(i). Suppose 0*c - 2*c = 5*w - 8, -3*c + 12 = -2*w. Solve -c*h - 4 = -2*h + a*m, h - 3*m - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0098435 rounded to 4 dps?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8640802*f - 6903008.\nAnswer: 8640802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185520 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + w - 5*w + 78 = 0, -3*o + 4*w = -102. Suppose -5*x + x - 40 = 0. What is the remainder when 61 is divided by ((-64)\/x)\/(12\/o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 a when three letters picked without replacement from gaagaaaaagaggaawaaat?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 2\/7 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/3 - 4*w. Let d(p) = 5*p**2. Calculate d(g(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - 0. Let n = 9558 + -9555. What is the second biggest value in n, -5, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 176688643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 23*b**2 + 12*b + 295. What is v(25)?\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134298852*v**4*z**2 - 4*v**2 + 2*v*z**2 - 13306*v*z + 11*v + 2*z**2 + 3*z + 9 wrt v?\nAnswer: 1611586224*v**2*z**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -216, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 s when four letters picked without replacement from {x: 8, s: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, -377, -476?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -29*l - 2. Let c(b) = 15*b + 1. Let o(f) = -f. Let w be o(5). Let g(x) = w*c(x) - 3*p(x). Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 29001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38069*d + 23478?\nAnswer: -38069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -17. Suppose 0 = -2*u + 6, -2*u + k = -4*n + 3*u. Suppose n*m = -4*m + 192. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*b**3*c**3*i**2*w + 2*b**3*c*i**2*w - 23*b**3*i*w + 706*b*c**3*i**2 + 42*b*c**2*i*w + 11*b*i**2*w wrt c?\nAnswer: 540*b**3*i**2*w + 4236*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 2237?\nAnswer: 6711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -802161, -802162, -802163, -802164, -802165?\n\"Answer: -u - 802160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/44 - -2 - (261\/(-165) - -1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 0*l + 2*l - 5*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15*v + 1 - 3*v**2 + v**3 + 2*v**2 + 35*v - 21*v. Calculate l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**2\/2 + 11. Let q be 0 - (-5)\/(10\/4). Let v(b) = 2*b**2 + b**q + 2*b**2. Calculate k(v(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k**5\/5 + 5318*k**4\/5 + 1364*k**3 - 772*k**2 - 6798*k\/5 - 1458\/5 = 0. Calculate k.\nAnswer: -1, -3\/11, 1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 19 - 13. Let f(x) be the third derivative of 0*x**5 - 1\/20*x**r + 1\/3*x**3 + 0*x**4 + 0*x + 0 + 4*x**2. Find the first derivative of f(j) wrt j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 + 19*(7 - 52\/8). Which is the nearest to x? (a) -1 (b) -1\/4 (c) 3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*z - 6 = 9, 0 = 2*h + 5*z + 10. Suppose 1 = -2*m - q, 0*m + 2*m + h*q + 13 = 0. What is the units digit of (54\/(-24))\/(m\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/17)*i*i*(i*i**11\/i)\/i*(i*(i\/(i*i*i*i\/(i**15*i)*i))\/i*i)\/(i\/(i\/(i*i**(-2)))) assuming i is positive.\nAnswer: i**(444\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 149 (c) 3\/2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 670501409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 27\/270 + 636\/40?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87228?\nAnswer: 2, 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -107.5975 and -7032.\nAnswer: -7139.5975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + y - y + (-4 + 4 - 2*y)*(-2*y**3 + 0*y**3 + y**3) + (-3 + 0 + 1)*(-110 + 43 + 51)*(4 - 4 - y)*(-2*y**3 - 2*y + 2*y).\nAnswer: 67*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 128118827?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskhkxxtkxxttskxstp. What is prob of sequence px?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*v**2 + 52*v - 27*v + 619*v**2 - 25*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1129734, 1129768, 1129802, 1129836, 1129870?\nAnswer: 1129904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -248 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Suppose f - 3 = -p. Let c(y) = -2*y**3 - 12*y**2 + 12*y - 8. Calculate the remainder when c(-7) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2529*l - 59627 = -21692 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/30*0*1\/1. What are the prime factors of l - ((-8)\/(-10) - 31344\/30)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 153 (b) -40 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6788.742 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*n + 34*n + 339 + 51 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 170 = -58*p. Put -0.129, 1\/2, p in decreasing order.\nAnswer: p, 1\/2, -0.129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 973?\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 17) + (-110 - -118) + (-43 - -51).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 7*k + 72. Let o(x) = x + 3 + 0*x + 13. Does 4 divide o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 27*y**2 - 7 - y + 12 + 3*y**2 - y + y + (1 - 3 + 3)*(-y + y + 2*y**2) + 4*y + 2*y**2 - 4*y in the form p*y**2 + w*y + u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 133*o**2 + 180 + 179 - 360.\nAnswer: 133*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396)*2 - (sqrt(396)*1 + 4 - sqrt(396)))*-6 - (sqrt(539) + 5 + sqrt(539) + -1*sqrt(539) + (0 + sqrt(539))*3 + sqrt(539)))**2.\nAnswer: 4142*sqrt(11) + 131052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 523 = 49*z + 4*z. Let m(c) = -69*c**3 + 11*c**2 + 11*c - 11. Let h(i) = 35*i**3 - 6*i**2 - 6*i + 6. Determine z*h(s) - 6*m(s).\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 5*u + 3*u)*(-9*u**4 - 8 + 8) - 4*u**5 + 2*u**5 - 3*u**5.\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 95789456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 2. Determine h(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 1. Let b(n) = -19*n + 5. Calculate -b(t) - 5*s(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.325926km in millimeters?\nAnswer: 5325926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3\/8)*u))\/((u**(-1\/7)\/u)\/u))\/(u*(((u*u**(-8\/7)*u*u)\/u)\/u)\/u)**13 assuming u is positive.\nAnswer: u**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*((-2 - 2 + 5)*(-2 - 2 + 2) - 3 + 3 - 1 - 6 + 4 + 1 - 5 + 3 - 12)*(-d**4 - 2*d**4 + d**4).\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10959547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b = 72. Find the common denominator of b*12\/(-40) + -1 and (-4)\/(-18)*714\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 21*s - 12. List the prime factors of l(-7).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 7. What is r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (9 + -8)) + 4 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -302?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22515900 and 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4385899078.\nAnswer: 2, 11, 199359049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -1. Let f = r + 0. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100014 (base 5) to base 11.\nAnswer: 239a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + 3432014\nAnswer: 3432013.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 + -2013221031?\nAnswer: -2013213322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 1. Let a(b) = 2*b - 2. Let x = 12 - 13. Let y = -5 + x. Calculate y*a(j) + 11*k(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + 3*n**2 + 6*n - 15. Let y(h) = -2*h**3 - 4*h**2 - 7*h + 14. Let v(d) = -3*t(d) - 4*y(d). Does 2 divide v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - 4.7. Let u be (-13)\/48*2 + 4\/6. Which is bigger: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 775588967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/7 - 1292*v**3\/7 - 208658*v**2\/7 = 0?\nAnswer: -323, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 times -10.266?\nAnswer: -9711.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wozfcoi. Give prob of picking 1 o and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (108\/(-48))\/(2\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 40 + 83 = 5*n, 5*n = -3*q + 121. Suppose 0 = -5*l + 48 - 13. Let j = n - l. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3\/8, 3\/20, -0.183, 2\/23 in increasing order.\nAnswer: -0.183, 2\/23, 3\/20, 3\/8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.37241, -2, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372295.\nAnswer: 5, 7, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/2 - 202683*r**3\/2 + 1621755*r**2\/2 + 6689331*r\/2 = 0.\nAnswer: -67569, -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from nxxxnxnnxxxxnnnx?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*d + 12 = 0, -3*t = t - d - 46. Suppose t = 7*l + 67. Let w(c) = c**3 + 9*c**2 + 7*c - 8. Give w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4 + 684*q + 31 - 777*q. What is the hundreds digit of d(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*c**2 - 44\/3*c**4 + 14\/3*c**5 + 0*c + 34\/3*c**3 + 0 = 0 for c.\nAnswer: 0, 1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5362635, 10725260, 16087883, 21450504, 26813123, 32175740?\nAnswer: 37538355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218468, -218765, -219074, -219395, -219728?\nAnswer: -220073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*g = -320*g - 3*h - 6, 5*h = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*a - 24, 75*a - 72*a + 4*d = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 2*y. Suppose -3*h = y*h. Suppose -v + 3*v = h. Solve v = 5*b - b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 + 12*b - 12. Let w(p) = -5 + 5*p + 0 - 3*p**2 - 3*p**2 + 5*p**2. Give 5*v(s) - 12*w(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59742 or 59637?\nAnswer: 59637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -184*r - 16 - 6 + 181*r + r**2 with respect to r.\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m - 222685 + 222399 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -3 (c) 147835 (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -1298, -2125, -3030?\nAnswer: -4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -14*i + 17*i - 756805, 0 = 5*i + 5*r - 1261330. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q. Let f(z) = z**3 - 14*z**2 - 15*z + 6. Let y be f(15). Let h(g) = -13*g. Let s(k) = 7*k. Let v(t) = y*h(t) + 11*s(t). Calculate b(v(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 437*v**4\/6 - 3558*v. Let z(t) = -12*t. Give z(j(c)).\nAnswer: -10488*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uees when four letters picked without replacement from ssulede.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 12*l - l)*(4 - 18 - 6)*(-3*l + 5*l + 2*l)*(2*l**2 - l**2 + 0*l**2)*(-2 + 4 - 3)*(-1 + 2 - 2).\nAnswer: -640*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 19 - 72 = 3*o, 3*u + 6*o + 50 = 4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*j**2 - 52*j**2 + 95*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/5, 2, -3, -1, -11568553?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -29. Find the third derivative of 4*n**5 - 67*n**2 + 56*n**b - 2*n**5 + n**5 wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*j**4 + 184*j wrt j.\nAnswer: 348*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.434123 and -1.0917.\nAnswer: -1.525823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -72 + 72 - w. Let q(u) = -1. Let p(f) = -1. Let c(m) = -4*p(m) + 3*q(m). Let d(r) = -5*r - 10. Let t(n) = 10*c(n) + d(n). Give t(o(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*f**5 - 21*f**4 - f**3.\nAnswer: -f**3*(f + 1)*(20*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2465*i**3 - 232*i**2 + 232*i + 232. Let c(s) = -32*s**3 - 3*s**2 + 3*s + 3. What is 232*c(x) - 3*t(x)?\nAnswer: -29*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 4 (b) 4\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + 14606045?\nAnswer: 14606122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from gliiiqgccikqi?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -9\/1193392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 52 = -4*m + 40, 2*t = -3*m - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7331205 and 45.\nAnswer: 21993615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*o - 129 + 517*o + 129.\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 0.01, 4\/3, -1\/2, -1\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3548739 divided by -6\nAnswer: -1182913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 + 1 - 1). Let z(s) = -s**3 + 2*s**2 + s. Let i be z(l). Suppose i*q = 5*k - 138, 6*k - 107 = 2*k + 5*q. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 12144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2100) + ((sqrt(2100) - 2*sqrt(2100) - sqrt(2100))*-6 - sqrt(2100) - sqrt(2100)))\/(sqrt(28)\/(sqrt(64)*-2)))**2.\nAnswer: 5280*sqrt(3) + 2323209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g + 356. Suppose -d = -33 - 10. Calculate the remainder when d is divided by (-2)\/8 + g\/8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*w - 17 = 0, 17*c + 2*w = 7*w + 71 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4db300 (base 14) in base 6?\nAnswer: -133250124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36405*r**4*s**2 - 101*s**2 - 5*s + 1 with respect to r.\nAnswer: -145620*r**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2423, -19069, -64243, -152207, -297223, -513553, -815459?\n\"Answer: -2377*n**3 - 2*n**2 - n - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 9:00 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(60)\/sqrt(5)*-2))**2 + 3*(3*sqrt(1872) + sqrt(1872) - sqrt(1872))**2.\nAnswer: 202189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000182551261 to 7 decimal places.\nAnswer: -0.0001826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105463047?\nAnswer: 131, 313, 51349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12789\/196)\/(-87)*(-5)\/(1590\/16)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:17 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 29588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 629 and 6256306.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*l + 31, 4*s - 90 = -s - 4*l. Let c be (4\/14)\/(2\/s). Let b = -2\/13 - -49\/65. Are c and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.03.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 11:47 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -691\/11, 0.1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1138, 2274, 3410?\n\"Answer: 1136*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560\/(-735)*22\/(-176).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v**2 - v**2 - 5*v**2. Let u(f) = f**2. What is u(p(w))?\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**8\/16800 - y**7\/8400 + y**6\/200 - y**5\/12 - 63*y**2. Let f(l) be the third derivative of w(l). Factor f(o).\nAnswer: -3*(o + 2)*(2*o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7432 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - 1\/(-28). Suppose 3*l + 7 = -2*v, 3*l + 4 = -v - 7. Suppose m - 6*m - 5 = 0. Which is the third biggest value? (a) l (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*a = 13, -6*q + 5*q = -a - 2. Suppose 3*j - 9*n + q*n = 38, -n = -4. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from qqqqnqnnqqnqqnnqqe?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:02 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*(-12)\/3. Let t be (5\/(-10))\/(h\/3). Which is the second biggest value? (a) 5 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/251 + 269\/753. Let s(z) = z**2 - 3*z. Let y be s(3). Which is the closest to 3\/7? (a) 0.5 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:38 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(3\/25)*z*z*z\/z**3 assuming z is positive.\nAnswer: z**(47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 3\/7, 5, -5, -0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = 4*f, -f + 0*c + 2*c + 14 = 0. Suppose -l - 2*l = -f. Suppose 0*r = 3*r - 4*p + 1, 14 = l*r + p. What is the least common multiple of r and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/14, 0, 0.3, 1\/5, -16, -2\/3.\nAnswer: -16, -19\/14, -2\/3, 0, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18050 by -190.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6604003 and -62188.\nAnswer: -6666191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 330154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 19*i**5\/120 + i**3 - i**2\/2 + 50. Let c(j) be the third derivative of k(j). Let a(f) = 7*f. Calculate c(a(h)).\nAnswer: 133*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7 = -5*i + x, 4*i + 5*x + 22 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 2 + (sqrt(208) + 1)**2 + (0 + (sqrt(208) - (1 + sqrt(208))) + sqrt(208))**2 - (((sqrt(325) + 0)*2)**2 + -5).\nAnswer: -875 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11*27\/396)\/(9\/2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5458, -11001, -16666, -22513, -28602?\n\"Answer: -10*a**3 - a**2 - 5470*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -12. Let x = s + 8. Solve 0 = -x*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -4*u**3\/3 + 3*u**2\/2 - 4. Find the second derivative of v(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12696 times -3555\nAnswer: 45134280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 37*f - 35795 - 86585 = 0. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 14*s**2 + 13*s - 21. Let v = -57 - -63. What is the lowest common multiple of v and x(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.9 + -172.\nAnswer: -153.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -337054 (base 8) in base 7?\nAnswer: -654001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1074d51 + 94?\nAnswer: 1074de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2082 is divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 960, 2169, 3872, 6075?\nAnswer: 8784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34349360.\nAnswer: 2, 5, 429367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 4. Let a(c) = 2*c - 1. Let w(m) = 3*m - 1. Let s(v) = 9*a(v) - 4*w(v). Calculate the remainder when s(i) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 39*f**3 + 16 - 32*f**3 + 22*f**3 to h*f + p*f**3 + g + z*f**2 and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116782817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1656 by -20.\nAnswer: 414\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/5660535 and -71\/3.\nAnswer: 5660535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*d + 71 = -177*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 104083 (base 11) to base 8\nAnswer: 505102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -16.5309.\nAnswer: -15.9309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0)**11\/(b**(1\/4))**17 assuming b is positive.\nAnswer: b**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419679, 419688, 419703, 419724, 419751, 419784, 419823?\nAnswer: 419868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 832208, 1664386, 2496564?\nAnswer: 3328742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21914465 to the power of 1\/2, to the nearest integer?\nAnswer: 4681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 114, 279, 500, 771, 1086, 1439?\n\"Answer: -w**3 + 37*w**2 - w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z - o + 10, -2*o - 15 = -3*z. Suppose y = u - z, 2*y - u = -6*u. What is the biggest value in y, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let k(f) = -2 - 24*f + 7*f + 1 + 3. What is k(c(z))?\nAnswer: 17*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23469293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p - 3*p + 4*f, -f - 10 = -3*p. Let i(s) = -1 + p - 1 + 3*s**2 - 5*s**3 - 4. Let m(x) = -9*x**3 + 5*x**2 - 1. What is 5*i(r) - 3*m(r)?\nAnswer: 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-8))*a)**46*a**(-1\/3)*a**(2\/7) assuming a is positive.\nAnswer: a**(-6763\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**6 - 5295*a**4 + 58*a**3 - 23*a**2 - 3255736 wrt a?\nAnswer: -1200*a**3 - 127080*a + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 321 and -4927?\nAnswer: -1581567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r - 30. Let j(h) be the first derivative of h**4\/4 + 7*h**3\/3 + 5*h**2\/2 - 8*h + 41935. Give j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 9*w**3 + 43*w**3 - 18*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7)*c*(c*c**(-28\/5)*c)\/c)\/((c**21\/c*c)\/c)**(-5\/14))**33 assuming c is positive.\nAnswer: c**(4257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*i - 27110, 0 = 3*i - 7 + 10. Is 117 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37834 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0 + 24, 24 = -4*y + 4*l. Which is the nearest to -9? (a) 0.1 (b) y (c) -4.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**3 + 9*k**3 + 2*k**2 + 13*k**2 in the form q*k + o + t*k**3 + c*k**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*u = 17792, -4*u + 2*u - 22217 = -5*k. Suppose -5*r - 2*r + k = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + -1213\nAnswer: -1213.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027283 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000533 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v - 6*v)*(-v - 2*v + 5*v - 2 + 2*v + 2 + (-4 - 3 + 5)*(v - 3*v + v) + 4 - 4 + v).\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 6*n - 2. Let u be j(6). Let t(w) = -w. Let b be t(u). Suppose -6 = -2*k + b. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11253\/8 - 1991533\/1416. What is the common denominator of x and 161\/60?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/4 (c) 1\/25 (d) 0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a**2 + 1. Let t be 1*2*(5 - -2). Let s(u) = 7*u**3 - 3406 + 9*u**2 + 7232 - 23*u**2 - 3812. Calculate t*i(m) - s(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*t = -x + 29, 0 = -4*x + 5*t + 123. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 22503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 4156 + 3974 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*l - 4*w, l = -w. Solve 2*s - 5 - 5 = l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -64. Suppose 3*u = 3*z + n, z = -3*u + 11 - 0. Let v(y) = -10 - 3*y**2 + y**3 - 8*y**2 + 12 - 3*y + 8*y**z. Determine v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvpvpvvpvvpvvvpvpv. What is prob of picking 3 v and 1 p?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30 (b) -5 (c) 10.3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:24 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3 + 2 + 43*b**4 - 157*b**4 + 19 + b**2 - 5*b**2 + 76*b**4 wrt b?\nAnswer: -912*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 = 0, -106*z + 109*z = 2*v - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a century in months?\nAnswer: 17040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 11. Suppose -3*r + 35 = 5*d, -3*d + 16 = d. Let t be w(r). Solve -t*h - 9 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 0.6\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bububbubbbubub. What is prob of picking 2 b and 2 u?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7.9. Let v = -0.2 + r. Let l = v - 0. Which is the closest to l? (a) 5 (b) 1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 2*z**2 - 4*z**2)*(0 - 4 - 5)*(-3 + 4 - 4).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 + 44?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5*-1*3*(-6)\/81.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {m: 1, r: 1, f: 2, k: 2, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 64 + 12 = 3*p, 10 + 4 = -4*t + 6 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 54722, -29, -5 in descending order.\nAnswer: 54722, 0, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990640 and 915.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -1363\/15. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 98*r - 5493. Calculate n(56).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*k - 207*k = 203496. Suppose k + 15812 = 10*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 574, 1055, 1828, 2893, 4250, 5899, 7840?\n\"Answer: 146*t**2 + 43*t + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337197.96 microseconds to hours.\nAnswer: 0.0000936661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 177 + 289 + 568.\nAnswer: -2*j**3 + 680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/29495, 0.4, -2 in increasing order.\nAnswer: -2, 32\/29495, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/232 and 31\/783.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7 + 37 = 0. Suppose -33*p + 21 = -54 - 24. Find the second derivative of -31*r**3 + 53*r**p - x*r - 17*r - 39*r**3 wrt r.\nAnswer: -102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0259 + 4.2609. What is l rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -307463, -307463, -307465, -307469, -307475?\n\"Answer: -f**2 + 3*f - 307465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6\/7 (b) -0.9 (c) -2\/11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517559 is divided by 1031.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -239.08. Let b = 239.0436 + q. Round b to 3 dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77429683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 3*y + 9. What is the hundreds digit of g(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 4, b: 6}. What is prob of sequence sb?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1513 and 1596402?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2436*l**2 - 1226*l**2 + 284 - 1204*l**2 in the form m*l + t + c*l**2 and give t.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -358514\/33 - -10866. Let z = 36\/11 - i. Let 4\/3*o**2 - 2\/3*o**5 + 0*o + 0 - z*o**4 + 2\/3*o**3 = 0. Calculate o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 188*h\/9 - 4418\/9.\nAnswer: -2*(h - 47)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*d**3*m*v**3 - d**3*v**3 + d**2 - 2*d*v**3 - 321*m*v**2 wrt d.\nAnswer: -114*m*v**3 - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 94, 188, 278, 358, 422, 464, 478?\n\"Answer: -u**3 + 4*u**2 + 89*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4926 - 9785 = -39*j - 4703. Solve -48\/5 - 92\/5*c**2 - 128\/5*c + 12\/5*c**3 + 4\/5*c**5 + 28\/5*c**j = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**2 + w + 1. Let o be s(-1). What is the greatest common factor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -93. Suppose -3*v - 5*s = -10*s + u, 0 = v - 3*s + 3. What is the common denominator of v and -59\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 503543*d. Let l(q) = 3*q - 13. Determine l(o(t)).\nAnswer: 1510629*t - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*q + 30, -5*o + 3*q + q + 37 = 0. Is (2 - (-127008)\/60)\/(2\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 1, m: 1}. What is prob of picking 1 h and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 14*i**2 - 46*i - 18. Differentiate k(d) wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 3 = -7*o + x, 4*x + 20 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (362*f - 582 + 582)*(5 + 5 + 7) to the form y + t*f and give t.\nAnswer: 6154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grkgrkigkg. What is prob of sequence ik?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 w when three letters picked without replacement from {k: 3, i: 4, s: 3, n: 6, w: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12183951*g**3 + 611992.\nAnswer: -36551853*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 34. Suppose -u*t - 2 = -8. Solve -3 = 4*c + m + t, 0 = 2*c + 2*m + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 509*h**2. Let z(x) = -2*x. Determine z(v(l)).\nAnswer: -1018*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1374 - 1379. Which is the closest to 1\/7? (a) -0.05 (b) n (c) -1\/5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, p: 2, h: 9}. Give prob of picking 2 p.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (3*sqrt(288))**2*-6 + 4 + ((sqrt(288)*-1 + 2 - sqrt(288))**2 - (-3 + -2 + sqrt(288))**2).\nAnswer: -14703 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d = 5*j - 18, -3*d + 17 = 5*j. Solve 16 + 0 = -j*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4180662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 94 = -z, 4*g - 3*g + 3*z = 30. Suppose g*f = 22*f + 16. Let y be (-1 - 0) + 10\/2. Sort y, f, 0 in ascending order.\nAnswer: f, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394 a factor of 2049119735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -750\/251, -2\/11, -3, -2 in ascending order.\nAnswer: -3, -750\/251, -2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 563987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22396 and 40720.\nAnswer: 447920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(17) + 3 + sqrt(272))**2 + sqrt(2057) + 2*sqrt(2057).\nAnswer: 63*sqrt(17) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2154, -4266, -6378, -8490, -10602, -12714?\n\"Answer: -2112*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmzfffellefe. What is prob of picking 1 l, 2 f, and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -3 + 0 + 6 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-14))\/(4\/14). Suppose -6*g = -30 + l. Solve 3 = 2*b - g*d, -3*d + 3 = -5*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 228 + -1142?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 45. Let g = -6 - -20. What is the greatest common factor of g and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/8*-2 + -3. Let v(u) = -62500*u**2 + u + 4 + 1 - 4 + 3. Let w be v(m). Round w to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/6 - 2207*u**2\/6 + 4808*u - 4440.\nAnswer: -(u - 12)*(u - 1)*(u + 2220)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3 - 12*r**4 + 48*r**2 - 15*r**2 - 12*r + 15*r**2 = 0 for r.\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252912 divided by -3832\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2191 + 24084\/11. What is the common denominator of (-168)\/(-2030)*(-20)\/(-6) and t?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21295*d**2 + 42097*d**2 - 17447*d**2.\nAnswer: 3355*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 143*r - 4769. Let b be c(90). Sort -1\/5, 5, -2\/7, b in decreasing order.\nAnswer: 5, b, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15382434 to the power of 1\/2, to the nearest integer?\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:29 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + k = -x - 8, 18 = 4*x - 5*k. Suppose -6 = 4*n - x*n. Let h be 10\/(-15)*6\/14. Which is the second smallest value? (a) n (b) -3\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -h + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from bbbbbblblbbbblbbbb?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284112975.\nAnswer: 3, 5, 853, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 + 23*a - 4. Let x(d) = 5*d - 4. What is s(p) - 5*x(p)?\nAnswer: -3*p**2 - 2*p + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90453 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 58, 58, 54, 46, 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:08 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from etsssssss.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 900*g**3 - g + 1. Let x be t(1). Suppose -4*l + x = l. Let w = l - 115. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*q + 3 + 1, -4*q - 10 = -5*y. Let a = -13 - -7. Let n = y - a. Solve 5*i = i + n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 498 + 6. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1414487 - -75?\nAnswer: 74.8585513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583 - 1161 + 578 - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/90711225 and 203\/1060950.\nAnswer: 181422450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c9 - -88?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + 4*g + 3. Let s be w(-4). Let f = -24 + s. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0\/2)*-2. Let g(p) = -p + 4. Let r be g(-8). Let x be (a*-1)\/r*-3. What is the biggest value in x, 0.2, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 17*t**4\/4 + 2*t**3\/3 - t - 267. Suppose -5*a = 4*u + 25, 0 = u + 4*a + a - 5. Let q = -9 - u. What is o(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/5)\/((-910)\/175). What is the nearest to 3 in p, -3, -1\/20?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 43\/42)\/(1\/2). Let j(q) be the second derivative of 0 + v*q**3 + 2*q + 2\/7*q**2 - 1\/42*q**4. Factor j(n).\nAnswer: -2*(n - 2)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.87261 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110985 or -110987?\nAnswer: -110985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -2\/7 (c) -0.3 (d) 0.07 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 48 = 3*f. Let d = f - -26. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.7692 to 0 decimal places.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.013 + -58.013. Let t = w - -57.9. Which is bigger: -14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1682 and 126411.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100635593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 267444 + 264?\nAnswer: 267718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000150588 to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 2, -1\/34, -2 in ascending order.\nAnswer: -2, -3\/8, -1\/34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -227*a - 4 - 241*a + 474*a. Give t(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**3 + 25*a**3 + 24*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2506570 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfffekftheqhee. Give prob of picking 1 q, 1 k, and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5051 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20820377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by (-4*(-6)\/8)\/((-6)\/(-80))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*d = 18, 0 = -4*a - 0*a - 4*d - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y + 66*y**2 - 55*y + 28*y.\nAnswer: 66*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68389 - -1.31607. Let f = -1.99 + -0.01. Let t = f + r. What is t rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-16))\/(1 + 454\/(-456)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 91. Is u*((-25)\/10 - -1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 6315664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-375)\/(-2) + 10\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6937.90818 - -6923.41. Let h = b + 14.51. Round h to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -10910 (c) 1\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 8323422?\nAnswer: -8323422.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5350382*k**3 + 5350371*k**3 + 7 - 9*k**2 + 2. Let r(z) = z**2 - 1. What is 4*h(p) + 36*r(p)?\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-2)\/((-1)\/1)). Let m be (-2)\/(-3)*((-189)\/1575)\/(-1 - -2). Is p less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 232\/(-12). Let r = -10 - t. Suppose -3*a = -4*y - r, 4*y - a + 1 + 2 = 0. What is the second smallest value in -2, y, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.1 (b) 0.5 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.041 and 11.6425.\nAnswer: 0.4773425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57422 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 32. Is j(0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k + 35. Let u be p(3). Which is the closest to -6? (a) 2 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/43*(-1)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -38\/3. Let f = 2.37 - 12.37. What is the biggest value in f, -2, t, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 11, o: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + a - 1333 = 0, 0 = -5*d - 3*a + 8050 - 1393. Suppose 2*p - d = -p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.2, -2\/9, 18, 49528?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 1 - (-18 + 6 + -5) - 21\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9791 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 + 162*k**2 + 36*k**2 + 13*k**2 - 33*k**2 - 64*k**2.\nAnswer: 130*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let z be -3*6\/(-9)*7. Suppose -8*v + 18 = -2*o - 3*v, 0 = -2*o + 4*v - z. Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*q**2 + 210*q**2 - 4*q + 4*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -467*a**6\/120 - a**4\/24 - a**3\/6 - 7*a**2. Is l(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose u - 30 = -4*u. Let i(b) = -b**2 - 8*b - 5. Let o be i(-7). Solve -g*t + 3*q = -q - u, o*t = 2*q - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (43 - 7)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17205*r**5 + 96*r**3 + 16067*r**2 + 3 wrt r.\nAnswer: 1032300*r**2 + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 3*m + 3*m + 0*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/37, -3, -0.3, 0.2, 0.5 in ascending order.\nAnswer: -3, -22\/37, -0.3, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149.6 - -8.2. Round r to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.3 + -8. Let w = j - 0.4. Suppose -2*u = -3*d - 1, -5*u + 5*d = -0*u. Which is the second smallest value? (a) w (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-426)\/24)\/((-1)\/44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.461372 days to nanoseconds.\nAnswer: 731062540800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 19*n - 1. What is the tens digit of t(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 - 4*g**2 + g**3 + (0 + 3 - 1 + (0 - 4 + 0)*(-4 + 5 + 10))*(-94*g**3 - 53*g**3 + 85*g**3).\nAnswer: 2605*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2*o**2*t + 348*l**2*o - 5*l*o**2*t + 2*l*o**2 + 9*o**2*t + o**2 wrt t.\nAnswer: -l**2*o**2 - 5*l*o**2 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - p = -5161, -2*t - 5*p + 2582 = -3*p. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-25))\/((-58542)\/620900)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + d = 18, -22 = 196*l - 191*l + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 933 - ((-22)\/9 + (-60)\/(-135) - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 6) to base 8\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*l + 934*l = -511*l + 27960 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k + 113*k - 966 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -145 + 145 + 7*a**2 + 11*a**2 in the form w*a + z + x*a**2 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858*p - 1864*p - 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 3*h**2 - 2*h + 3. Suppose 0 = 4*p - 3 + 35. Let g(l) = -l**3 - 7*l**2 + 8*l + 2. Let q be g(p). Let t be (-3)\/2*(q + -4). Give b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120121 (base 3) to base 2\nAnswer: 10001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 15. Let q(h) = 5*h + 7 - 3*h - w. Let t(s) be the third derivative of -s**5\/12 - 22*s**2 - 2. What is t(q(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 8*t - 18. Let s be r(10). Suppose i = -2*i + j + 28, j = s*i - 20. Suppose i = k + 2. Is k < 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from kwwkwwcwkbckw.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 smaller than 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23930492897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 3. Let u be h(0). Solve -10 = u*f - x, 2*f - 4*x - 1 - 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/7 - 55516*i**2\/7 + 1829382*i\/7 + 12975300\/7 = 0.\nAnswer: -6, 39, 27725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -23*a + 15. Factor -131*l - 22*l**2 + 2*l**4 + 35*l - 598*l**3 + 608*l**a + 6*l**2.\nAnswer: 2*l*(l - 3)*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 737616 and 6985.\nAnswer: 3688080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -341694418167 take away 697?\nAnswer: -341694418864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 5*h**2 + h - 7. Let b be v(5). Let j = b + 5. Suppose -5*y = 2*p - 19, y = -j*p + 2*y + 37. Solve u - p = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -61*a - 44. Let t be k(-6). Let f = 571 - t. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4950244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.1*-116.\nAnswer: -1983.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + l - 3*l)*(23*l**2 - 6*l**2 - 2*l**2)*(-5 + 0 + 4) as i*l + j*l**3 + s*l**2 + n and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 49. Let w = -29 - x. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-2)\/(-40))\/((-42)\/56). Let b(i) be the first derivative of -w*i**3 - 1\/5*i**2 + 1\/10*i**4 + 2\/5*i + 2. Solve b(t) = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2*f - 2*f. Let z(s) be the third derivative of s**4\/12 - 2*s**2. Give z(p(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10010010 (base 2) to base 10\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -57, -130, -241, -396?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 61*q = 31 + 420 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3184 divided by 552?\nAnswer: -398\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 67898.\nAnswer: 135796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 3, x: 1}. Give prob of sequence xw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + ((-4)\/(-7) - (-3882)\/42)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r + z + 9 = 0, 0 = -z - 5. Suppose 2*d = -3*k + 206, r*k + 3*k - 346 = -2*d. Does 35 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2108508916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 14*u**2 + 34*u - 152. Determine x(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (252\/3456)\/((-2)\/(-8)*1). Let p(h) be the third derivative of 0 + 3*h**2 + 0*h + 3\/2*h**3 + b*h**4 + 1\/60*h**5. What is p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -253*q - 45795. Give g(-181).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237.69 + 236.69. What is the smallest value in v, -9, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**2 + 6*d + 6. Let y(q) be the third derivative of 2*q**5\/15 - 7*q**4\/24 - 7*q**3\/6 - 6*q**2. Let w = -4 - -10. Give w*y(a) + 7*t(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*j - 4*q, 0 = 5*j + 4*q - 12 + 4. Suppose 0 = 5*n - j*y - 50 - 77, n - 35 = 4*y. Let c = -22 + n. Let g(f) = -12*f**3 + f. Give g(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 3*h + 3. Let k be z(10). Suppose 0 = -4*u + 12, -k = -5*g + 3*u + u. Suppose -2*w + g = 1. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 1:26 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1472a (base 16) to base 2\nAnswer: 10100011100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 844, 1686, 2528, 3370, 4212, 5054?\nAnswer: 5896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -24*d - 14 - 26\/9*d**3 - 16*d**2 - 1\/6*d**4. Solve o(p) = 0 for p.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b**2 - 2*b - 3. Let x be q(-1). Let o be x\/1 - (-12)\/6. Let k = 3 + o. Sort 2, 0, k in increasing order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3120*m - 2881*m + 2868 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(440\/25))\/(285\/(-12)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10864052.8*-0.5\nAnswer: 5432026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -632 - -633. Let u(q) = -q - 2. Let p be u(-6). Suppose p*f + 5*d = -13, 2*d + 17 = 2*f + g. Which is the second biggest value? (a) 0 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8463613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 428 = -2*g, -278 = -x - 3*g - 66. Let a(q) = -74*q**3 - q**2 - q - 2. Calculate the remainder when x is divided by a(-1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2452*-610\nAnswer: -149.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/9 - 140*w**4\/3 - 25426*w**3\/9 - 38600*w**2 - 81408*w + 122880 = 0. What is w?\nAnswer: -96, -15, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0181 minus 115?\nAnswer: -115.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/5 of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -60. Let d(m) = -3*m**2 + 2677 + 4*m**h - 2675 - 4*m - 3*m**3. Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97874412?\nAnswer: 2, 3, 2293, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**3 + 0 - 1\/20*q**5 + 0*q**2 - 3*q - 1\/12*q**4. What is the third derivative of j(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-12 + 5) - (-1 + 2). Solve -j*z = -156 + 164 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a + 19 - 6 - 40*a - 31*a. Let d be m(-1). Which is smaller: 72 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 216?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.309 + 5.309. What is the fifth biggest value in 0.07, t, 2, 38, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1881339951 by 3.\nAnswer: 627113317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*g*n**2*p**2 - g*n**2 + 6327*g - 2*n**2*p**2 - 981*n**2 - 86*p**2 wrt g?\nAnswer: 52*n**2*p**2 - n**2 + 6327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1 + 39\/(624\/(-128))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 4\/(-12) + 2 + (-339406)\/(-22746)?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prriwrrrppawwki. Give prob of sequence kww.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 47. Let g = -3 + l. Let a(d) = -8*d - 6*d + g*d. Let r(o) = -5*o**2. Give r(a(z)).\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)**(-25\/3))**(2\/51) assuming b is positive.\nAnswer: b**(100\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-15)*(-10)\/(-3). Let m = 1817 + -1826. What is the third biggest value in q, -1, m, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14220 + 14220 - 54*g + 49*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79306 times 348?\nAnswer: -27598488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x - 2 + 32. Suppose -5*v = x*b - 6*b - 474, 0 = -v + b + 94. Calculate the remainder when v is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 20. Let g be 482\/5 + (-4)\/10. Calculate the highest common factor of n and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59904 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 81985611 and 81985612 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118022.\nAnswer: 2, 59011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 119\/4 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235388 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d + 4. Let k be s(2). Suppose -4*a + 5*h + 63 = 0, -k = -4*a - 5*h + 47. What is the greatest common factor of 153 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + 11?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = s + 5*y - 3*y, 7 = s + y. Let a = 9 - 5. Solve a*o = 5*w - 22, 5*w = -2*o + 2 + s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s*z**4 + 5*s*z**2 + s*z + 232*s + 10931*z**4 + 4*z**2 wrt z.\nAnswer: -240*s*z + 262344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, -3 in increasing order.\nAnswer: -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 11*k**2 - 15. Let x be a(11). Let s = -16 - x. Sort 3, 4, s in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*t + 20, 3*l + 14 - 50 = 3*t. What are the prime factors of (9\/(-12) - (-2)\/l)*-94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -2. Let n = 4.2 - 56.2. Let q = n - -52.1. What is the second biggest value in q, -2, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - w + w**4 + 2*w + 302*w**2 - 300*w**2 in the form y*w**2 + h + s*w + d*w**4 + q*w**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 19 in decreasing order.\nAnswer: 19, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 450010962 divided by -6?\nAnswer: -75001827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 36 = 5*y. Solve 3*b = -b + y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42828 (base 10) in base 15?\nAnswer: ca53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6449 in -2, -4\/5, -1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5562948 and 184504442?\nAnswer: 1107026652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k - 698*k + 190587 = 1039*k - 55*k for k.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 637953 = -223865. Let f = q + -419818. What is f rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*i + p, 2*i - 3*p + 0*p - 13 = 0. Suppose 15 - i = q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 + -127. Suppose 3*z = 35 - x. Sort z, -5, 13, -4.\nAnswer: z, -5, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1125))\/sqrt(9).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -11*z + 311. Let u be i(32). What is the nearest to u in -0.3, 0.2, 5, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -ac3?\nAnswer: -ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/((-7)\/18*(-432)\/378).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 1940890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - 1 - -3) + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 7:04 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**4\/12 + w**3\/3 + 2*w**2. Let g(a) = -a - 6. Let r be g(6). Let m = r + 10. Calculate s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 628375102 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*16.23.\nAnswer: 973.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - 4) + 1 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92011 is divided by 440.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q*q*q**(-6))))\/q)\/((q\/(q**(1\/16)*q))\/q))\/((q\/q**(-1))\/q**(-3\/2))*q**2\/(q**(-5)*q)*(q**(-1\/2))**(-7\/4) assuming q is positive.\nAnswer: q**(-25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 10. Let u be k(-7). Is (12\/u)\/((-8)\/(-6))*-242 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 r and 1 x when two letters picked without replacement from {q: 1, x: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((735\/(-28))\/(-35))\/(-3 + 1 - (-77)\/44)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 575 - 570.6. Let i = 6.472 - q. Round i to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412441 and 47864?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093172134 rounded to 3 dps?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3776*m*s**2 + 144*m*s - 51*s wrt s?\nAnswer: 7552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10939985 a multiple of 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.7 + -8. Let y be 13 + (6 - 36\/2). What is the third biggest value in 0.07, -4, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d - 4*d)*(0 + 1 + 3)*(-2*d - d - 2*d).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*1*15\/(-20)*138. Let v = -267 - a. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 2 (b) 0.1335 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070 divided by 414?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n + 170 = 80*n - 408 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7)\/d**(4\/11))\/(d**3)**30 assuming d is positive.\nAnswer: d**(-6914\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*b**2 - 3*b**3 - 12*b**3 + 216*b**2 - 329*b**2.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 5*d + 4, -5 = -834*y + 829*y - d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c6 (base 13) in base 15?\nAnswer: -773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7968\/11779?\nAnswer: -7968\/11779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26952, 26950, 26948, 26946?\nAnswer: 26944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2572, 2658, 2744, 2830?\nAnswer: 2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ba7 + -1?\nAnswer: -ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o**3 + 6*o**2 + 9*o - 18. Let y be z(-5). Let d = 1949 - y. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12 - -1)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 6*w + 3.\nAnswer: 6*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = s - 0*s, 0 = -2*s - 4*y + 30. Let n(i) = -i**3 + 4*i**2 + 5*i + 2. Let f be n(s). Solve -3*p = -f + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5414, -10840, -16266?\n\"Answer: -5426*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*y = 55, -31*y = -3*d - 34*y + 90. Let o(s) = 4*s**2 + 10*s + 8. Calculate the remainder when o(-6) is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a**2*f*n + 2*a**2 + 7240*a*f*n**3 - 9635*n**3 + 2 wrt f.\nAnswer: 16*a**2*n + 7240*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 81, 3, -2\/15, 0.34, 4?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.34. Let d = -0.22 + r. Do 1 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 - 4 = -5*o, o + 11 = 5*u. Which is the third smallest value? (a) -1\/3 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1177.7739841 - -1229.773979. Let c = w - 52. What is c rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -f - 4*u, -3*u + 184 = f - 46. Suppose 0 = 3*b - 3151 - f. What are the prime factors of b?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*h - 3. Let r = -258 + 219. Is h\/r - (-6612)\/52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 6*d + 14. What is the highest common factor of 77 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 300*d**2 + 235*d - 65.\nAnswer: 5*(d + 1)*(60*d - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*a**2 - 32\/3 - 8*a.\nAnswer: -4*(a + 2)*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/31, 693, -7 in decreasing order.\nAnswer: 693, 0.1, 1\/31, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmoilckc. Give prob of picking 1 i, 1 l, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16371 + 10919 = 0. Suppose -4*c + 1124 = -2*y + 3838, -2*c - o = -4*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 10 = 16*z. Suppose -2*p = 4*b - z, p + 9 = 4*b - 16. What is the remainder when 24 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 0.3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 2*w**4 - 1 - 3*w**4 - 3*w + 3*w**3 as p*w**3 + n*w**2 + r*w**4 + q + l*w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 9. Let t(n) = 9*n - 5. Let k(z) = 7*z - 4. Let h(s) = 5*k(s) - 4*t(s). What is v(h(i))?\nAnswer: -4*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:13 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/5 + 4*k**2 - 9*k. What is the derivative of l(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 183 (c) 2569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*75\/50*(-3)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 10?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {l: 1, t: 2, g: 2, n: 3, h: 4, a: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + 0*w)*(-6 + 1 + 3) - 61*w - 71*w - 22*w + (-3 + 6 - 2 + (5 - 4 + 1)*(1 + 0 - 3))*(2*w + 1 - 1).\nAnswer: -154*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*o**2 - 24594*g*o - 3*o**5 + 648*o**2 wrt o.\nAnswer: 4*g - 60*o**3 + 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 354235 + -41333?\nAnswer: 312502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -256*s**4 - 144*s**3 + 612*s**2 - 236*s + 24 = 0. What is s?\nAnswer: -2, 3\/16, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o. Let q = -0.09 + 5.09. Let g = q - 5. Which is the nearest to o? (a) g (b) 0.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23959 - 16224. What are the prime factors of q?\nAnswer: 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + 11232001203?\nAnswer: 11232001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/37363721 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 46. Sort 15, 3, -2, b.\nAnswer: b, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 133. Solve b = -r + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 2*g - 6, -36*n - 2*g + 6 = -34*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/864 and -109\/648.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31050823.\nAnswer: 17, 1826519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -5\/42*d**7 - 4*d**2 + 0 + 55\/24*d**4 + 17\/24*d**6 + 0*d - 7\/4*d**5 - 5\/3*d**3. Determine a so that w(a) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((-60)\/(-112))*-9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f + 135 = l + 49*f, -4*l = 2*f - 530. Calculate the highest common divisor of 3926 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3))**(28\/5)*(v*v\/(v**(-4)\/v))\/(v*v**(-6\/5)))**(1\/64) assuming v is positive.\nAnswer: v**(41\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/(x**(4\/3)\/x*x))))\/x**(-1\/10)*(x*(x**(-40)*x)\/x)\/(x*x\/(((x*x**(-6\/7)*x*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-8839\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1323 and 6426.\nAnswer: 44982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 take away -81.52?\nAnswer: 435.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-20)\/m**(-2\/5)*m**(-18)\/(m**(6\/17)*m*m) assuming m is positive.\nAnswer: m**(-3396\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5341924056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 6. Let n(r) = r**3 + 8*r**2 + 7*r + 4. Let x be n(-7). Let v = -178\/721 + -4\/103. Which is the third biggest value? (a) v (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k**2 + 0*k)*(22181*k - 11993*k + 17 - 19).\nAnswer: 10188*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402 + -269. Calculate the remainder when f is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6192)\/(-3870)*(-175)\/10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000587556361 rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1707 = -325*n + 1218 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -442 + 3096\/7. Which is the closest to 2? (a) 25 (b) -2 (c) f (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676976529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 1148.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -3*b. Suppose -n + 2*n - b = 0. Suppose n*z + 10 = 7*z. Solve -3*t + 0*p = -z*p - 34, 5*p = 2*t - 31 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/7 of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 10. Let p be i(-7). Let g be 4\/2 - (9 - p). Is g\/(-6) + 86\/4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 1. Let q(m) = -6*m + 2. Let h(i) = 6*q(i) - 17*t(i). Let p(r) = 6 - 2 - 7*r + 0*r**2 - 3*r + r**2. Let n be p(9). What is h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390934 and 39756?\nAnswer: 2345604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 + 1 - 0. Let a(b) be the third derivative of -b**5\/60 - b**4\/24 + 7*b**3\/6 - 54*b**2. What is a(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/((-10)\/60*-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*h + 3491 = -1756 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -4) + (44 - (-24 + 16) - (3 - 2))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n - 405 = 0. Let i be n\/(-15) - (-2)\/(-5). Suppose q - i - 1 = 0. What is the highest common factor of 12 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.26824386 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 5*t**4\/6 + t**3\/6 + t**2\/2 - 4*t. Let f be b(-1). Calculate the greatest common divisor of 15 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*a**4 + 42*a**4 + 15*a**4 + (0*a + 3*a - a)*(2*a**3 - 4*a**3 + 4*a**3) + (2*a - 7*a + 3*a)*(-2*a**3 + 0*a**3 + 3*a**3).\nAnswer: 34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -220*-6*4\/60. Is 89 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 24 + (1 - 3). Let t(y) = y + 8. Let p be t(-6). What is the highest common divisor of p and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33948.5 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27173060128.59998 - 27170812770.6. Let l = h + -2247377. Let f = 19 + l. What is f rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-3)\/(-1) + (-70)\/20). Solve h*q + 4*o - 10 = -0*q, -o = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7896 and 687 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 799658 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*t = -2444*t - 201838 for t.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1668732 - 25040023\/15. Let h = 602 + x. Find the common denominator of h and -46\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/35)\/h*h**(-10))\/(h**(-3)*h)**8)**(-31) assuming h is positive.\nAnswer: h**(-5363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894400 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 + 4 - 2*f**2 - 2*f**2 + 0*f**2 = 0. What is f?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14472*n + 14472*n - 1112*n**2 to the form q*n**2 + r*n + z and give q.\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2366635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - -57) + -21 + (-41 - 4)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3179 - -3234. Is 499\/9 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30*-6*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 + -125.7. Let g = w + -3.4. Let r = g - 1.90000137. What is r rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**11*r)\/r)\/(r*r**(-6)*r))\/(r**1)**(-7\/6) assuming r is positive.\nAnswer: r**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3. Let c(i) = -2*i + 13. Let z(r) = -c(r) + 4*y(r). Let m(x) = -2*x + 1. Give -6*m(t) - 5*z(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from vxvpcxcycxccvvvx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 28*o**2 + 5*o + 15. List the prime factors of b(-4).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -24*i**4\/5 + 363*i**3\/5 + 1203*i**2\/5 + 708*i\/5 - 108\/5 = 0.\nAnswer: -2, -1, 1\/8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.002 in -0.5, -3\/8, -24?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 16. Suppose 80 = 9*u - n*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/8 - s**3\/2 - 69*s**2. Let l(v) = -v - 1. Calculate -2*l(z) + x(z).\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -211 and -207 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -6*i + 83. Suppose 726980 = -n + 5*y, -i*y - 2181020 = -0*n + 3*n. Round n to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = 5*h - 8, -t - 8 = -3*h. Suppose j - x - 133 = 0, 3*x - 165 = -h*j + 91. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54525210.\nAnswer: 2, 3, 5, 1817507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k. Give m(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -317 - -15217\/48. Let w(p) be the second derivative of 1\/24*p**3 + 0 - 3*p - 9\/80*p**5 - 11\/120*p**6 + 0*p**2 - 1\/42*p**7 - j*p**4. Factor w(x).\nAnswer: -x*(x + 1)**3*(4*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34575, -57150, -79725, -102300, -124875?\n\"Answer: -22575*t - 12000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 - 268515864*h - 466960396 wrt h.\nAnswer: -2*h - 268515864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -101?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 3664*i\/13 + 7395688\/13.\nAnswer: -2*(i - 3046)*(i + 1214)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 + 3*v**2 - 5*v**2)*(0*v + 19 - 9*v + 7*v).\nAnswer: -10*v**3 + 95*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + -107103426?\nAnswer: -107103403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 9. Let k be o(7). What is the second derivative of -j**2 + 2*j**2 + j**5 - j**2 + k*j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 12:41 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3216005607.55 and 3.\nAnswer: -3216005604.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2 + (-12)\/4). Let d = -3 + 7. Find the second derivative of -3*p + d*p**3 + n*p - 2*p**3 + 3*p wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -4*n, 0 = 5*s + 2*n - 7 - 21. Calculate the smallest common multiple of 1 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112144?\nAnswer: 2, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.3 and 1.157211.\nAnswer: -4.9760073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442683949 - 0.1.\nAnswer: 442683948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u + 6*u)*(1 - 3 - 2)*(1 + u**3 - 1).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 9*h - 56 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -37.1. Let b = -97.172 + 0.372. Let w = b - -97. Put v, 1, w in ascending order.\nAnswer: w, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -280 + 210 + (31 - (4 - (-10 + 7))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + x**4 - 84*x**2 + 39*x**3 + 186*x**2 - 21*x - 101*x**2 to u*x + q + z*x**3 + g*x**4 + f*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 39 = -18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37222 - (-11)\/(143\/91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3700754, -7401492, -11102230, -14802968, -18503706, -22204444?\nAnswer: -25905182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(127\/(-635)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201035?\nAnswer: 5, 31, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2928)\/54 + 4\/18. Let d be m\/(-15) - (-3)\/(-5). Let t(g) = -g**3 - g**2. Let f be t(-2). Solve d*y + f = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-153756034\nAnswer: 30751206.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101739 - -101737.29991. Let a = x + 1.7. Round a to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.71 + 64.71. Let c = p - 65. What is the nearest to c in 5, -10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531390 rounded to the nearest 1000?\nAnswer: 1531000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 2\/(-2))*4. What is the units digit of ((-6)\/j - 1)*28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 11:54 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.716 - -0.784. What is the second biggest value in -0.2, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/5 (b) 8\/5 (c) 2\/53 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/380208 and -55\/18512.\nAnswer: 4942704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 1, r: 2, p: 1, d: 1, f: 1}. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -m + 25, 5*i + 2*m = 5*m - 40. Let j(l) = -l. Give j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (113*a - 58 - 67*a - 47*a)*(-2 - a**3 + 2) in the form g*a**3 + t + b*a + w*a**4 + f*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + -1.57. Let i = 1.7 + h. Which is the biggest value? (a) 2 (b) -6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2))**(-44) assuming l is positive.\nAnswer: l**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11233 - -203000?\nAnswer: 131101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24.5193872399 and -0.04.\nAnswer: -24.5593872399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132169434473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**2 + 4*x - 11. Let a = 14191 + -14191. Calculate w(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + y = -120, 59*y - 54*y - 29 = 4*c - 165 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 6*p**2 - 10*p**2)*(-74 - 106 - 11 - 4*p).\nAnswer: 8*p**3 + 382*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5320 and 1520?\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -4\/7 (c) 5 (d) -0.169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2657080.\nAnswer: 2, 5, 181, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 6*b + 2*g, -12 = -5*b + g. Let v be ((-9)\/b)\/(3\/(-28)). Suppose -47*p + 85 = -v*p. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.05. Sort y, -0.22, 3 in decreasing order.\nAnswer: 3, y, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-1\/30)\/c*c)\/c)\/c)\/(c*c**6\/c))\/(c*c*c**(-1\/8)*c*c\/c**(1\/10)*c) assuming c is positive.\nAnswer: c**(-1417\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 + h + 88 - 58 - 122 - 29.\nAnswer: h + 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42515 + 344?\nAnswer: -42171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5128, 20523, 46174, 82075, 128220, 184603, 251218, 328059?\n\"Answer: -c**3 + 5134*c**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.013 - 0.013. Let k be (96\/240)\/((-2)\/30). Let l be (-3)\/10*(34\/k + 5). Which is the third smallest value? (a) l (b) t (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(2*r + 0*r - 3*r) + (-6*r - 8 + 8 + (2*r - 3 + 3)*(-3 + 2 + 3) - 4*r + 2*r + r)*(1 + 5 - 3).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -14?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7320 divided by -12?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u - 55. Let k be s(-5). Let l(o) = k*o - 7*o + 12*o - 6*o. Let h(j) = -3*j**2 - 1. Determine l(h(d)).\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.39081*0.4.\nAnswer: 2.956324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3) - 4\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2380.0409 times -4\nAnswer: -9520.1636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00771393 to 4 decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 19 + (0 - (-4 - -6)). Let i(n) = -2*n**2 + 37*n - 8. Let r be i(y). Differentiate 26*m**3 - r*m**3 + 15 + 6*m**2 - 6*m**2 with respect to m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*s + 1107. Suppose -3*p + s = -p. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11627 - -4?\nAnswer: 11633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, -20, -79, -192, -377, -652, -1035?\n\"Answer: -3*a**3 - 2*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - -1 - (1 + -11). Suppose -2*w - 4 - 4 = 0, -f*d = w - 86. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/90 and -151\/8136?\nAnswer: 40680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 25\/14, -156, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(sqrt(576) + -3*sqrt(576)))\/(sqrt(6)\/(sqrt(72) + (sqrt(72) - (1*sqrt(72) + sqrt(72) + sqrt(72)))))*4.\nAnswer: 1920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -3. Let f = 2.5 - 2. Let z be 0 + 5 - 357\/63. What is the nearest to s in z, f, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 610 by 1.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 3*q + 90. What are the prime factors of ((-12)\/5)\/(q\/5175)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/21*4*(-14)\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.44 and 0.4.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 121538325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166 (base 12) to base 7.\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 27*a - 102. Calculate l(12).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273 - y + 273)*(-2*y**4 - y**4 + 2*y**4) + 2*y**5 - 5*y**2 + y - 1 - 2*y - 2*y.\nAnswer: 3*y**5 - 5*y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 10:55 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 112. Let x = -270 + 272. Solve -4*y + 4*i = -q, -3*y + i = x*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 23 + 113 = 0. Let x = p - 7. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 46*w + 75. Let x be g(21). Let b be x\/6*(-28)\/(-42). Let i(s) = -30*s - 1. Calculate i(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -34*d**4\/5 + 56*d**3 + 294*d**2\/5 - 108*d = 0.\nAnswer: -30\/17, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (22 - 16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 240634 (base 11) to base 7\nAnswer: 3146016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*i**4*l + 8*i**3*l - 91*i**2 + l wrt i?\nAnswer: -984*i*l + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 711\/1133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347.1637 - 512.3077.\nAnswer: -165.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/7)\/g*g)\/g**(4\/7))**(-2\/145) assuming g is positive.\nAnswer: g**(6\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 635 + 2217. Calculate the remainder when v is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1666 and 12614?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 divided by -3816?\nAnswer: -31\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**2 - 19*d**2 - 6*d**4 - 7*d**4 - 13*d**2 wrt d?\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 40 + 15 = 3*a, 3*p - 4*a - 165 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11114 + 0.1105889. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -19*w + 3078. Let c = w - 177. Let r(j) = -6*j. Give r(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301.459 decades in millennia?\nAnswer: 33.01459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 2*x**4 - x**3 - x**3 + 0*x**3 in the form i*x**3 + c + s*x + v*x**2 + u*x**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976807279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814716.\nAnswer: 2, 3, 7, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -461, -705, -935, -1145, -1329, -1481?\n\"Answer: t**3 + t**2 - 254*t - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.114 + 0.046. Let z = d - -0.04. Let j = z - 3.2. What is the second biggest value in 18, 3, -1\/3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151712 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -103. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4 + 86*i + 34*i - 19 + 206*i. Is k(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 840, 1682, 2526, 3372, 4220?\n\"Answer: n**2 + 839*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = -l. Let v be (-10)\/20 + (-5)\/l. Which is the biggest value? (a) 5 (b) -0.05 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.4. Let y = v - 0.3. Let k be 87\/406*(15 + -1) - (9 + -2). Which is the closest to 0? (a) k (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 10*a**2 - 8*a + 5. Let r(m) be the third derivative of -m**5\/30 + 5*m**4\/6 + 13*m**3\/6 + 41*m**2. Let c be r(11). Give s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - -88. Suppose 4*i = 4*j - 96, 0 = 5*j - 4*i + 2*i - l. Calculate the greatest common factor of 135 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.0133 - -1.2107. Let w = x + -49. Round w to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9295649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.7 - -25. What is the biggest value in t, 3\/145, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2506 - -161.\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (46 - 47) - -49\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 720\/50 + (-6)\/(-10). Let v be (p\/(-10))\/(-3)*2. Let -3 - 5*r + v + 4 + 2*r**2 = 0. What is r?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -192.6, -2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5250 (base 9) to base 16.\nAnswer: -f0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1721 + -282050855.\nAnswer: -282049134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 71832960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(351)\/sqrt(3)*-2*-5.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 43 + -1)*(-2160)\/(-18). Suppose -3*s + b = -2880, 5*b - 8*b = -5*s + f. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 41 + 41 + 29*p**2 + 5*p.\nAnswer: 29*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-6\/11))\/u**(-8))\/(u**(1\/6)*u**0*u*u) assuming u is positive.\nAnswer: u**(415\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:07 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/25054736 and 77\/432.\nAnswer: 676477872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (80\/12)\/(4\/30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 311*a*d**3 - 7657*a + 248915*d**3 + 42*d - 23 wrt d?\nAnswer: 1866*a*d + 1493490*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 315874 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 + 3*d + 17. Let q(x) = 3*x**3 + 5*x**2 - 5*x - 27. Determine 5*h(t) + 3*q(t).\nAnswer: 4*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -122, -186, -264, -362, -486?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2283941211 by 2.\nAnswer: -2283941211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 164*s**2 - 10*s - 6. Let a be v(-7). Round a to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Let n be -1*(6\/2 - 5). Suppose n*i - 5*k = -2*i + 3, 2*i - l*k = -1. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 14. Suppose -4*j + j - 3 = 0. Calculate the remainder when (j - 1)*(5 - 7) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 4. Let x be k(-3). Let m be ((-4)\/(-110))\/(x\/5). Which is the third biggest value? (a) -4 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1\/(-4) + (-3)\/(-12). Let d(k) = 3*k**2 + 5*k**2 - 2 + v*k - k**2 + 6*k**2. Is d(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0538 - -4.9362. Let i = -5 + c. Round i to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4544, -2, -1.1, -4\/15?\nAnswer: -4544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4464, 5 in increasing order.\nAnswer: 2, 5, 4464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyyyyyucuy. Give prob of sequence ucy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/7 - (-2)\/(-7). Suppose -5*o = 2*b - 15, 3*o + 7 = 5*b + 16. Put 2, b, u in descending order.\nAnswer: u, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 479.4 - 481. Let f = 1.635 + 0.005. Let l = u + f. Sort l, 0.2, 4 in increasing order.\nAnswer: l, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(99) - 5*(sqrt(99) + -2*sqrt(99)))\/(sqrt(2304)*3).\nAnswer: 13*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1794 or -1758?\nAnswer: -1758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -352, -354, -356, -358?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/3 - 6. Let a = -0.7 + 1. Put k, 0.4, a in increasing order.\nAnswer: a, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 10. Suppose 32 = -10*b + 12. Let u(v) = -7*v + 20. Let r(j) = b*u(j) - 5*m(j). Give r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 12:03 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.02388*0.3\nAnswer: -0.607164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 39*o - 210 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/18*-9)\/(0 - 1). List the prime factors of 0\/(2 - (4 + u)) - -330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-3*f**4 + 2*f**4 + 2*f**4) - f**4 + 4*f**4 - f**4 + 1 - 2 - f**4 + 2*f**4 + f**4 - f + f.\nAnswer: 3*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 145, 287, 429?\n\"Answer: 142*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3 - 4*n)*(-3*n + 4 - 4).\nAnswer: 12*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*f - 136*f - 546*f + 762*f.\nAnswer: -206*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 0.1. Let h = b + -2. Let n = 1.1 + h. Which is smaller: n or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from forofgooorrffou. Give prob of sequence gfou.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-305)\/183)\/((-10)\/24). Suppose 2*f + 0*b + 2 = 2*b, -2*f - 9 = 5*b. Sort 1, n, f in decreasing order.\nAnswer: n, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1633818 + -310105.\nAnswer: -1943923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5066, -31525, -103152, -242531, -472246?\nAnswer: -814881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 13*a**2 + 48*a + 25. Calculate the remainder when 374 is divided by l(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and 9822.\nAnswer: 9822.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 + 0 = 0. Suppose 0 = 2*k - 4*p + g, -18 = -k - 0*p - 4*p. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.767 minus -145.84023?\nAnswer: 150.60723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 - 234 + 246 - 8*i - 2*i**2 - 3*i**2. Let o be w(7). Solve 5*t + 0 = -o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**3 + 39*v - 708. Let j(l) = 9*l**3 + 40*l - 710. Let g(w) = 3*h(w) - 4*j(w). Differentiate g(k) with respect to k.\nAnswer: -9*k**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 15*w - 17*w. Let b(r) = -25*r**3 - 3*r**2 - 3*r - 2. What is the lowest common multiple of w + (-81)\/6*12\/(-18) and b(-2)?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 351*z - 4157. Determine t(-12).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 945, -128, -1917, -4422, -7643?\nAnswer: -11580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n + 0*n + 1 - 4*n)*(12*n + 18*n - 6*n)*(3 + 2 + 0) as r + g*n**2 + b*n and give b.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-105.7598.\nAnswer: 95.18382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + ((sqrt(200) - ((sqrt(200) + sqrt(200) + sqrt(200)*1)*2 - sqrt(200))) + 3*sqrt(200) + -1 + sqrt(200))*-6 + 3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6194*y - 18548. Give g(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-16)\/(-6)))\/(303\/1010)*(-312)\/(-26)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (38811 - 38811 - 17553*w)*(-w + 3 - 1 + 0) in the form g + r*w + j*w**2 and give r.\nAnswer: -35106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 379563599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -379, -552, -709, -844, -951, -1024, -1057?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**4\/6 + 16*u**3\/3 - 11*u**2 - 1. Calculate the remainder when j(-9) is divided by (-230)\/(-12) - 2\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 1. Let o(q) = 4 - 9*q + 2*q + 2*q + 4*q + q**2. Determine -2*f(k) + o(k).\nAnswer: k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.25016, -3\/2, 2\/5, -0.5, 4, 1\/4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 273*f**4 - 230 + 30 - 2*f - 3*f**3 - 224 - 206 + 67 wrt f.\nAnswer: 3276*f**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 13 (b) -2\/3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*n = 680, x + 0*x - 4*n = -170. Let q be 62\/155 + 58\/x. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 - 31110221?\nAnswer: -31110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913 + 15217 = 4*f. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*j + 10 = 0, 2*j - 6*j - 8 = -2*s. Solve s*w = -3*l + 5*w + 13, -4*l = -4*w - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 94*y**2 + 392*y - 122. Give l(98).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 5*f**3 + 42 - 9*f**3.\nAnswer: -f**3 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.7 + -20. Let r = 182 + -1636\/9. What is the nearest to -1 in r, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 9\/5 (b) 5 (c) 2 (d) 0 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/(r\/r**(-2\/37)*r))\/r))*r*r)**26\/((r*r*r**(-3\/11))\/(r\/(r**21\/r*r)*r)) assuming r is positive.\nAnswer: r**(-9008\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odbboxoobxbbbbbobdbx. What is prob of sequence dbxo?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*-6408\nAnswer: -19224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*s**2 + 70*s**2 - 26*s**2)*(2*s - 1 + 1) + 2*s - 2*s**3 - 2*s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -478*x - 7655. Determine r(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:26 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 336, 1113, 2612, 5073, 8736, 13841?\n\"Answer: 40*p**3 + p**2 + 12*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*m**5 - 97760*m**4 - 2546382*m**3 - 2896614*m**2 + 3267324*m - 681696 = 0.\nAnswer: -24, -2, 3\/8, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 105 - -15a?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 14. Suppose w = 4*v - 52, 2*v = 4*w - 6 + 18. Calculate the highest common divisor of v and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c = -54*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -217, -963, -2291, -4201, -6693, -9767, -13423?\n\"Answer: -291*w**2 + 127*w - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/2655 and 65\/33?\nAnswer: 29205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 - 12*t**2 - 13*t - 24. Let x be y(-6). Suppose x = 6*u - 0*u. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*-2*(-8 - -1 - (-432)\/64). Let p(q) = -3*q - 3 + 0*q + 0*q**2 - q**2. What is p(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6, -5*r - 69 + 21 = -g. Suppose 62*j = g*j + 5. Is j != -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3423906448.\nAnswer: 2, 6337, 33769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -111*s - 33*s**3 + 153*s - 88*s - s**2. Let c(r) = r**3 + r**2 + r. Let x(g) = 3*c(g) + n(g). What is the second derivative of x(o) wrt o?\nAnswer: -180*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.4, 13, -1\/7 in increasing order.\nAnswer: -3\/5, -1\/7, 0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331022 (base 4) in base 13?\nAnswer: -3852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7742*a**2*f + 773*a**2 + 1180*a*f - 33*a - 309*f wrt a?\nAnswer: -15484*f + 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 9*p**2 + 15*p - 2. Let i be f(-7). Let y(a) = 44*a**2 - 2*a + 13. Is y(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 - -870993457337\nAnswer: 870993457461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**3*w**2 - 3830*c**3*w + c**2*w**2 + 703514*c*w**2 wrt c?\nAnswer: -54*w**2 - 22980*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.94 + 3. Let g = o + 2.94. What is the second smallest value in g, 0.2, -4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (16 + 74 - 29) - -16?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(9\/102)*(-27)\/6. Let n = z - 46. Suppose k - 4*k - 6 = 0, -2*y = n*k - 262. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 8c8?\nAnswer: 8d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 2 c when four letters picked without replacement from {a: 3, c: 2, m: 1, k: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-5)*(-15)\/2. Let j(c) = c**3 + 5*c**2 - 5*c + 8. Let t be j(g). Let s(h) = h - 1. What is the units digit of s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2732399711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 335 = -145. What is the closest to i in -0.5, -5, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28690 + 430352\/15. Let c = -0.1 + 1.1. What is the closest to c in -3, s, -9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gerr when four letters picked without replacement from gegggggreeeeerrrgegr.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(64\/(-24)))\/(6438\/464)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 16 = 4*z, 0 = -4*z + 3*i - 6*i + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2 - 11*r - 32. Determine l(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-4) - (-1 + -1). Let g be 3\/r - 7772\/(-16). Find y such that 4 - 490*y + g*y - y**2 - 4 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - -215. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -70 - (1 - -2 - (8 + -4)). What is the remainder when 40 is divided by (z\/15)\/(-2*2\/20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14039517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*c - 8, -2*c + 136 = -4*b + 120 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469707 is divided by 67.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 802 divide 77121924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -7. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1191*k**3 - 471*k**2?\nAnswer: -7146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1944.8*0.28\nAnswer: -544.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*a + 648*a - 341*a.\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 2*w - w)*(-4*w - 9*w + 3*w)*(2 + 1 + 0) to the form g*w + t + d*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 15) in base 7?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/160 + (-12 - 27770\/(-2300))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c - 81205 - 86023 = 518*c - 2182*c for c.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 589*n**3 - 217*n wrt n?\nAnswer: 3534*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 132*g**3 - 59*g**3 - 70*g**3.\nAnswer: 3*g**3 - 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1061 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 16*g**2 - 4*g + 23. Give t(16).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 + -214 + 184.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 + (-440)\/(-36). Suppose 3*w + v = -3*u, -u + 4*w = -0*w - 16. Solve 3*f + 3*h + 18 = 0, 2*h = -5*f - u*h - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 2552291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 1\/6*g**4 + 32*g + 0*g**3 + 0 - 2*g**2 + 59\/20*g**5. Let d be a(2). Round d to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -3342141.\nAnswer: 10026423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 23*a**4\/4 - 3*a**3 - 24. What is the third derivative of f(p) wrt p?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**(-1\/2)*p**(-2\/9)*p*p**(-1\/8) assuming p is positive.\nAnswer: p**(23\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36995\/(-96187)*13*1*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-426*f**2 - 362*f**2 + 140*f**2 + 0*f**2 + f**2 - 3*f**2 + (0 + 2*f + 0)*(-1 + 1 - 2*f))*(4*f**2 + 0*f**2 - 2*f**2).\nAnswer: -1308*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-2 + -3*(sqrt(6480) + sqrt(6480) + -2 + sqrt(6480) + sqrt(6480) + sqrt(6480)) + 2)*1)**2 + -1).\nAnswer: -8748210 + 38880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a - f = 55*a + 15, -4*f = -2*a - 10. Put 2, -2, -1\/2, a, -11\/3 in decreasing order.\nAnswer: 2, -1\/2, -2, -11\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.03 < -0.049472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -848.\nAnswer: 195.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*z - 2 - 12 = 0, 4*f = 3*z + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 + 42*v - 16. Give c(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/((-5)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/322938 and 239\/2310.\nAnswer: 1614690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 + 46*g**2 - 150*g - 1888. Let u be f(-16). Let m be (66\/75)\/((-6)\/(-10)). Is u at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, 0, 106, 67 in descending order.\nAnswer: 106, 67, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 66 = 5*u + 19, 3*u = -4*k + 54. Let m(l) = 8*l**2 - 6*l + 3*l - k*l**2 + 2*l. Calculate m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 2*n**3\/3 + n**2 - 24*n + 8. Find i, given that p(i) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**2 - 3*a**2 + 0*a**4 + 2*a**4 - 6*a**2 + 3*a**3 to the form w*a**2 + g + l*a**4 + p*a + d*a**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -424 - 1464. Let f = -3 + w. What are the prime factors of f?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, -123, -0.3, 0.2, -1, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47192087 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: Factor 59*d**3 + 595076*d**2 + 1500499263*d + 50863698.\nAnswer: (d + 5043)**2*(59*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 13 - (0 + 3 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84549 + 1569736737\/18566. Let d = -635845\/250641 - y. Calculate the common denominator of 19\/18 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u + 12, -u = k + 61. Let d = k + 96. Let o be 4\/14 + d\/14. Solve 0 = -3*w + 12, o*q + w - 2 = 2*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10028253598 and 0.1.\nAnswer: 10028253598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.828 - -5.828. What is the nearest to -2\/5 in -2, q, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243.3712043 + 1704.3720633. Let i = -1461 + u. Round i to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9148 + -8932. Solve d*b - 223*b + 7 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(sqrt(56)\/sqrt(8) + 2).\nAnswer: -4*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 19 - 18 + 9)*(9*h - 6 + 6).\nAnswer: -288*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/7)\/((-5)\/(-35)). Let h(p) = -p**2 - 6*p + 3. Let g be h(a). Factor 2\/3*v**5 + 0 + 0*v + 0*v**g + 0*v**2 - 2\/3*v**4.\nAnswer: 2*v**4*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.43 in -2.16, 0.3, -1\/2, -2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k. Let l(v) = 4*v**2 + 1036*v. What is l(c(z))?\nAnswer: 900*z**2 + 15540*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12011943 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 596 + 1193 - 597.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 * -0.14\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 10. List the prime factors of (q\/16)\/((-3)\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.117*145157.\nAnswer: -16983.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59818 by -11.\nAnswer: 5438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 3*x + 5. Suppose 3*n = -3*d + 15, -25 = -3*n - 0*n - 5*d. What is z(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/592*54\/135*(-16)\/(-3).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-85))\/((-2)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76365 and 1.14049827.\nAnswer: 76366.14049827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 708*i**2*s + 2417446*i**2 + 420*i*s**2 wrt s.\nAnswer: 708*i**2 + 840*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -3. Suppose -3*z + 7*l + u = 4*l, -3*l + 12 = z. Suppose 4*h - 69 = -3*q, z*q = 3*q - h + 69. What is the highest common divisor of q and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b - 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7317 smaller than -7669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114340 (base 6) in base 7?\nAnswer: 324243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 15. Let v = 6.3 + b. Let u = -2.2999936 + v. Round u to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-2) + (6 - 6). Let y = l - -12. Suppose 0 = 3*d - 15, 3*h - 5*d + y = -4. What is the remainder when 11 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17*-3*3\/9. Let c = 14 + s. Let n be (c\/(-6))\/((-1791)\/36). Is n greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 19*i**3 + 3*i**2 + 6*i + 4. Determine s(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 178.5+73144382\nAnswer: 73144560.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8*n = -85. Let r(k) = -3*k**3 - 3*k**2 - 2*k - 749. Let h be r(0). Let u = h + 783. What is the greatest common divisor of u and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/(x*x**(-10)*x))\/x)\/x*x**(1\/2) assuming x is positive.\nAnswer: x**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 48055*b**2 - 2*b - 48051*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*p - 28, t - 4 = -4*p + 3. Let q = -8 - t. Suppose q*j + 20 = -4*h + 5*h, 2*j + 54 = 5*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/((9\/138)\/(-3)). Is 8 a factor of 1*((-6)\/(-9))\/((-2)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 2. Let h be m(-8). Suppose 0 = -0*u - 3*u - h. Let p be ((-4)\/u*6)\/(2\/3). Solve -2*y - 3*s = 5 + 5, p = -3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*k = -105*k + 1836. What is the lowest common multiple of k and 60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8*308 - (5 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1020 + 1022. Which is the second smallest value? (a) 3 (b) i (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064426.\nAnswer: 2, 2032213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -279.9797 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 - 29*q - 20. Give m(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**7\/840 - v**6\/60 + 3*v**5\/40 + 5*v**4\/12 + 18*v. Let j(x) be the third derivative of d(x). Let j(i) = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 28*n - 26.\nAnswer: -2*(n + 1)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/4131465 and 7\/30.\nAnswer: 8262930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -553*n - 165*n**2 - 84*n**2 + 555*n - 1 + 0 as h + j*n**2 + b*n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -569 - -7401\/13. Solve -10\/13*u**2 - 2\/13*u**4 - 8\/13*u**3 + 0 - q*u = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 15 + 15*h)*(-5*h + 2*h + 6*h) + (-h - h + 3*h)*(-4*h + 7*h + 0*h) - 3*h + 3*h + 2*h**2 as r*h**2 + n + z*h and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-1)\/8 + 14\/(-8). Which is smaller: -2\/513 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60121536 and 7467.\nAnswer: 60129003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 7 - (-1820 + 1869))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v + 4. Suppose -4*z + f = -15, z - 4*f - 4 = -z. Is 11 a factor of t(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(6\/25)\/(t*t**(2\/3))**(-32\/3))**7 assuming t is positive.\nAnswer: t**(1120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -650, -1244, -1804, -2318, -2774?\nAnswer: -3160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 689, 4526, 14665, 34262, 66473, 114454?\nAnswer: 181361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1530)\/(-40))\/51*(-8360)\/165.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00300258 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -3, 7, -12, -298 in increasing order.\nAnswer: -298, -192, -12, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t*t\/t**(-1)))**22\/((t\/t**(-10))\/(t**(-8)*t*t)) assuming t is positive.\nAnswer: t**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 824973.8777 to the nearest ten.\nAnswer: 824970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from {g: 1, s: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-38) - 3456\/3591)*(-35)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -1723506.346.\nAnswer: -1723506.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8128 and 2286.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -366, 13 in ascending order.\nAnswer: -366, 1\/4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - (-3)\/(-5). Let p be -2*(n - 1\/(-2)). Suppose -2*y = 2 - 12. Put 3, p, y in descending order.\nAnswer: y, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.4*1.6\nAnswer: -24.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-1 + sqrt(52)\/sqrt(4) + sqrt(13)))*1 - (sqrt(117) - (sqrt(117) - (sqrt(117)*1*-2)**2 - sqrt(117))))*1.\nAnswer: -467 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 292*b + 3 - 11*b**3 + 3*b**2 - 295*b + 4*b**3. Let k(w) = -63*w**3 + 28*w**2 - 28*w + 28. Calculate -3*k(l) + 28*q(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -457879797529732 - -457879673443644.0000068. Let p = 124086048 + k. Let u = -40 - p. What is u rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 56*i**2 + 7*i - 27*i**2 + 6 - 22*i**2 + 0*i**2 - 2*i. Let v(p) = -8*p**2 - 6*p - 7. Give 5*o(y) + 4*v(y).\nAnswer: 3*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, m: 3, q: 2, h: 2, j: 4}. Give prob of picking 1 h and 2 q.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -946, -4020, -9226, -16564, -26034, -37636?\n\"Answer: -1066*x**2 + 124*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192e (base 15) to base 8.\nAnswer: 12504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221211 + -2221?\nAnswer: -1001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.216, -0.6, 2\/19, -0.3 in increasing order.\nAnswer: -0.6, -0.3, -0.216, 2\/21, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1967453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5178992167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**5 + 3*k**5 + 15*k**6 - 16*k**2 + 6*k**2 wrt k.\nAnswer: 1800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944248301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22948982 and 77812.\nAnswer: 5558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2358*u**2 + 10480*u - 2096. Let y(d) = d**2 - 5*d + 1. Determine 3*p(h) + 6288*y(h).\nAnswer: -786*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - w = -3, -6*w = 3 + 15 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/281? (a) -0.4 (b) -1\/2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*n*u**5 - 65*n*u**3 + 2*n*u + u**2 - 16 wrt u?\nAnswer: 660*n*u**2 - 390*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + 4 - (0 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3.1. Let n = 0.05 + -0.45. Put 2\/11, p, n in decreasing order.\nAnswer: 2\/11, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 8:56 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2024 = 8*r - 2*u, 688 = r + 2*u. List the prime factors of r.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by (3 + (-21)\/(-6))\/(3\/18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a tonne in kilograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/26*56524\/(-45654).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -3507 + 3525. Solve -q = -3*h + 5, 16*h - a*h = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 2*d)*(0*d**4 + 4*d**4 - 5*d**4).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1932501 divided by 6\nAnswer: -644167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82162?\nAnswer: 2, 41081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 10. Let g(a) = -25*a**2 + l*a**2 - 2 + 7*a**2 + 10*a**2. Let x(k) = -3*k**2 - 9. Calculate 9*g(o) - 2*x(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 36) + (-1 - (2 + -4) - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 189 - 189 + i**2 + (-i - 4*i + 3*i)*(-2*i + 1 - 1) - 4*i**2 + 0*i**2 + 3*i**2 - i**2 - 4 + 4.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -894, -896, -898, -900?\n\"Answer: -2*g - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 108*f + 588 = 48*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4506667 to the nearest integer?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72729 is divided by 1028?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 9*q + 9. Let x(m) = -m**2 + 4*m - 4. Let g(h) = -4*f(h) - 9*x(h). Calculate the remainder when 3 is divided by g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Let v = 1\/5 + 43\/10. What is the common denominator of v and (-1)\/i + (-37)\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3005, 3000, 2983, 2948, 2889, 2800, 2675, 2508?\n\"Answer: -w**3 + 2*w + 3004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/14)\/((-2028)\/(-1183)). Put 2\/11, l, 0.02 in decreasing order.\nAnswer: 2\/11, 0.02, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 3*l - 2*l**4 + 0*l**4 + l**4 - 3*l**4 + (-4*l**3 + 0*l**3 + 3*l**3)*(1 - 1 + l) + l - l - 2*l**4 + (0*l + l + 5*l)*(9 - 9 - l**3).\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9)*((-81)\/12)\/(-9). Let c = 1 - 2. Sort -1\/6, c, a.\nAnswer: c, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*r**4 - 7*r**4 + r**4)*(3 + 0 - 2) to n*r**2 + m*r**3 + w*r + j*r**4 + h and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**29\/((u*u\/(u\/(u\/((u**(-6\/5)\/u)\/u)*u)))\/u*u**6\/u)*(u**(1\/2)*u)\/u**(1\/2)*(u**7*u)\/u**(-2) assuming u is positive.\nAnswer: u**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 2:06 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Suppose i*r + 3 = 4*j + 43, 5*j = 3*r - 22. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (221 - 205) + -9 + -1 - (6 - (36 - 7))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -1912, -4307, -7646, -11917, -17108, -23207, -30202?\nAnswer: -38081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6927809 rounded to 2 decimal places?\nAnswer: 20.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1325 + 1325 - 8*k)*(-k**2 - 4*k + 4*k)*((0 - 1 + 0)*(-1 + 2 - 2) + 0 + 0 - 2 + 30 - 59 + 40).\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + (2 - 9) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27769 + -19678. Is 93 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -13\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h + 59 + 207. Let w be (4\/(-6))\/(h\/57). Solve 0 = f - 2*f + w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 + 47. Let w = -180 + a. Suppose 5*n - 312 = 38. Calculate the highest common factor of w and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 767162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13178521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935\/(-2322) - ((-119)\/6 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o**2. Let d(j) = 5*j**3 + 2*j**2 - j + 1. Let l(i) = d(i) - 3*z(i). Let p be l(1). Let v be p*3\/225 - (-1)\/(-3). Is 1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8617 = 6315*w - 709582 for w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 103, 105, 119, 151, 207?\n\"Answer: b**3 - 5*b + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 255b1b5 (base 12) to base 13\nAnswer: 169c67c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**3 - 4*d**2 + 10*d + 18. Give h(4).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 - 281*f + 360. Let b be o(81). Which is greater: b or 3846?\nAnswer: 3846","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 - 9*p**2 - 3*p - 10. Let g(f) = -10*f - 80. Let j be g(-9). Let k be x(j). Round k to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/15 - 5*z**2. Let f(h) = h**2. Give a(f(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1322 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*j - 27, -2*k + 4*j + 0*j - 10 = 0. What is the second derivative of -4*c - c**4 + 2*c + k*c**4 + 0*c wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/60 - 4*p**5\/15 - 47*p**4\/24 + p**2 + 8. What is the second derivative of g(d) wrt d?\nAnswer: -12*d - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124833801*j**4 + 9*j**2 - 772171.\nAnswer: 2996011224*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/7, -0.01, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nln when three letters picked without replacement from {l: 3, n: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koggkvw. What is prob of sequence gvo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 748965 and 0.4.\nAnswer: 299586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/16 and 27\/136?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*h - 21*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 6585.573 and 0.5.\nAnswer: 6586.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p - 207 = -y, 5*p - 425 = -2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**4\/4 + 4*q**3\/3 - 2*q**2 + 3*q + 69. Let z be p(2). Solve -5 = -k - z*a, -4*k + 25 = k + 4*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -326 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = -0*a. Let s(t) = -t + 4. Let l be s(3). Let g = l + a. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*m - 2*m. Let o(l) = -21*l + 6. What is the hundreds digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 225.30102 months?\nAnswer: 0.18775085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose t + 4 = 3*l - 59, 4*l = t + 83. Suppose 5*h = -2*x + l, m*x = -5*x + 25. Solve h*o + 13 = 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 - -2.7. Let a = 0.9 + 0.1. Let s = 32\/133 + -10\/19. Sort s, c, a.\nAnswer: s, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*g = -18, 5*n + 9*g + 30 = 4*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h = 45. Let o = h - 6. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 78, 116, 152?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08586438 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3129.977 to the nearest ten.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 40*h - 41*h - 1 + 0.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 5*s + 3. Let a be l(5). Suppose -a*o - 1 = 4*h, -3*h - 5*o + 2 = -0. Does 13 divide -13*h*(1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -505*h**7\/42 - 3*h**5\/20 - 293*h**4\/12 + h**2 + 1325*h. Find the third derivative of o(q) wrt q.\nAnswer: -30300*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003859603?\nAnswer: 3, 29, 7677623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/935 and -36\/18215.\nAnswer: 3406205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 - -0.2?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5486, -10916, -16346?\nAnswer: -21776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 7)*(-2*s**3 + s**3 + 2*s**3) + s**3 + s**3 - 4*s**3 + (s**2 + s**2 - s**2)*(-s + 2 - 2).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*v + 3*w - 34, 4*w = 4*v - 36. Suppose 2*c = v*c - 8. Let f(b) = -12*b. Give f(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 3*r**2 - 3*r - 4. Let l be h(-3). Suppose k + 24 = l*k. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*-1*70\/105?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14880334*k**3*m**3*t**2 + 163*k**2*m**3*t**2 - 4*k**2*m**2*t**2 + 757*k**2*m - 3*k*t wrt k.\nAnswer: -89282004*m**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.43 + -0.07. What is the third biggest value in -1, z, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 times -61839.82?\nAnswer: -16449392.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -173.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let d(h) = -2 - 14*h**q + 1 + 1. Let i(u) = u. Give d(i(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9851*b**3 + 40*b**2 - 12084. Let i(y) = 9849*y**3 + 36*y**2 - 12084. Let p(c) = -10*i(c) + 9*r(c). Find the first derivative of p(w) wrt w.\nAnswer: -29493*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**3 - 2*d**3 - 6*d**3)*(0 - 9*d + 0) in the form r*d**2 + w*d + b*d**3 + a + c*d**4 and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 3, r: 5}. What is prob of picking 1 a and 3 t?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380, 2760, 4158, 5580, 7032?\nAnswer: 8520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -762, -1161, -1560?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmwwsvfmmwwcwmmmwc. What is prob of sequence swc?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjullmmmmmjzl. What is prob of sequence zjr?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, q: 8, o: 2}. What is prob of sequence qko?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4776 and 2786?\nAnswer: 33432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 764970 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3576404 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49039*s - 48934*s + 97709*s.\nAnswer: -264*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3869, -7735, -11601, -15467, -19333?\nAnswer: -23199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -624 - -625. Let g(o) = -o**3 + o - 1. Let p(x) = -3*x**3 - 102*x**2 - 39*x + 6. Let d(r) = m*p(r) + 6*g(r). Factor d(f).\nAnswer: -3*f*(f + 11)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53758 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) + 76\/18 - (-15 - -9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**5\/4 - 9*v**4\/8 + v**3 + 3*v**2\/2 + 2*v. Let r(n) be the first derivative of s(n). Factor r(l).\nAnswer: -3*(l + 2)*(5*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -681 + 365. Let d = 368 + g. Calculate the highest common factor of d and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145021 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {q: 7, m: 12}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 7576\/277?\nAnswer: 7576\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 2)*-1*5. Let q(j) = -2*j - 7. Let i be q(a). Suppose 2*h + k = -4*k - 15, 0 = k + i. Solve h = 2*n + 8 + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -301 - 259 - 280 - 203 + 879 - 15*f as h*f + l and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1371.637 millennia to decades.\nAnswer: 137163.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - b + 3 - 2*b + 0*b + 4*b + (0 + 2 + 0)*(-2*b - 2*b + 3*b) + 2 - 2 - 2*b - 3*b + 2*b - 24*b + b - b - 2*b to the form g + s*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10 - 9\/(-5130)*-57?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157820 and 1192148?\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + y**4 - 4 - 2*y + 7*y**4 - 7*y**4 + 0*y**2 + y**3 to the form j*y**3 + n + v*y**4 + c*y + d*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-498)\/15)\/((9\/75)\/(-3)). Suppose -2*h + 5*y = -568, -5*h + s = -2*h - 2*y. What are the prime factors of h?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3 + 2*p**2 + p + 0 - 7*p**2 + p**3 - 4. What are the prime factors of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*c - 186*c - 31 + c**3 + 495 - 86.\nAnswer: c**3 + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a6 (base 12) to base 15.\nAnswer: c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11755830 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:54 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(288\/135)\/16.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501 - 228 = -67*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 - w - 5*w**3 - w + w**4 - w to the form g*w**3 + m*w + o*w**2 + a*w**4 + z and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 5*o + 4. Let d be x(-4). Suppose -3*p - p + d = 0. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 4 (c) -3 (d) -8 (e) 0 (f) -1308 (g) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7156.4043 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**5 - 16*d**3*r - 585*d*r - d wrt d?\nAnswer: 100*d**3 - 96*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6370 divided by 98\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i - 175. Let k be z(-40). Solve 5*o = -5*h - 25, h = -0*o + 5*o + k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85437104 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -426*r = 140 + 712 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3186)\/(-1592) - 2)*(7 - 3). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p - 61*p = 0. Solve p*v - 15 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1, 195, -6 in decreasing order.\nAnswer: 195, 5, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -5\/4, -11, -1, -8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y + 7. Let n be g(-8). Let h = n + -91. What is the highest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19319 is divided by 4166.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 2:26 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 6)*15\/6. Suppose -5*x + r = -20. What is the third derivative of -6 - 3*y**2 - 2*y**6 + 4*y**x + 6 wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbybyby?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i = -2 - 44 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6416011 rounded to four dps?\nAnswer: 0.6416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 134*y - 685. Determine c(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 7*o - 4*o. Let z = -8 + o. Suppose -z = 4*t - t. Put t, -3, -2 in decreasing order.\nAnswer: -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.27 minus 9621?\nAnswer: -9618.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p, -4*w + 0*w - 8 = -4*p. Suppose -5*m + 50 = 5*y, -9 = -5*y + 6. Suppose 0 = m*s - 4*s. Which is the closest to w? (a) -0.4 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 23 + 2 - 10)*(-3 + 26 + 137)*(2*d + 0*d - 4*d) to r + o*d and give o.\nAnswer: 13440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229422660 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1197)\/315*(0 + -1) + -4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7709 = z, -2668*f - 5*z + 23191 = -2665*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 - -441. What are the prime factors of i?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 - 3644930297.7\nAnswer: -3644930228.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(57)*6)\/(2*sqrt(15)\/sqrt(5)) + (sqrt(76) + sqrt(76) + -3 + sqrt(76) - sqrt(76) - (sqrt(133)*-2 + sqrt(133))\/sqrt(7)))**2.\nAnswer: -66*sqrt(19) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 - 4*d**2 + 3*d + 6. Let l(b) be the first derivative of 11*b**4\/4 + 8*b**3\/3 - 7*b**2\/2 - 12*b + 5. Let u(p) = -6*l(p) - 13*r(p). Give u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rghhgzzhrrh. What is prob of sequence zg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315 - -3157\/10. Let i = c + -1\/5. Factor 0 + 0*s - i*s**3 + 1\/2*s**2.\nAnswer: -s**2*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24568.54 centuries to millennia.\nAnswer: 2456.854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 + 0.26. Let d = 0.24 - i. Let q = d - -0.32. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.443 - 0.124. Let s = i + -0.319. What is the third biggest value in s, 3\/5, 0.07, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvdxdxvdudydvyvv. What is prob of sequence yy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1769*-8.264\nAnswer: 14619.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16290193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-7) + 1)\/((-12)\/8). What is the nearest to 1 in 6, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 - -41 - -7 - 14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 306692.91 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*l - 1)*(16 + 280 - 47) - 3 - 2 + 2*l + 0 + 4*l - 2*l - l + (0 + 1 + 1)*(l - l - l).\nAnswer: -497*l - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 40 + 24 + 57*x.\nAnswer: 57*x + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2 + 203*m + 364. What is j(-19)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.1. Let d(o) = o**3 + o**2 + o + 1. Let j be (-1)\/2*(3 - 1). Let i be d(j). What is the closest to i in -0.4, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -5*y - 4*c, 0 = y - 2*c + 4. Let b = y + 2. Sort -4, 0, b in decreasing order.\nAnswer: b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -832 or 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-8)\/(-3))\/(-2))\/(18\/189). Is (-56)\/f + (2424 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 7) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-120))\/((-10)\/20) - (-1)\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/21)*((w**(-1\/26)\/w)\/w)\/w)**(-1\/7) assuming w is positive.\nAnswer: w**(1685\/3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -81*y + 1851. What is w(21)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 4*r - 15*r**3 + 10*r**3 + r**2 in the form g + c*r + a*r**2 + p*r**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484625 and 484625.\nAnswer: 484625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2886 + -1548. List the prime factors of p.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 3*g + 5*g. Let m be v(0). Suppose 2*j - 3*w + 3 - 32 = m, 3*j = 2*w + 36. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*z - 383*z = 457*z - 7612 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 97. Calculate the common denominator of (-2634)\/(-400) + -6 - 1\/g and 22.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(6*u**2 - 941*u**4 + 1012*u**4 - 4*u**2) to o + b*u**3 + q*u + y*u**2 + h*u**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147140192 a multiple of 1096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/6 of a hour?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*o**4 + 378*o**3 - 378*o**3)*(437*o + 0 - 213*o + 0).\nAnswer: 7392*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -130.2497 and -0.9?\nAnswer: 117.22473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56 or -63?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1137441 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 271 and 876.\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781768651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24706*b*c**3*h**3 - b*c**3*h - b*c**2*h**2 - 112*b*c**2*h + b*c*h**3 - 4*h**3 wrt c.\nAnswer: 148236*b*h**3 - 6*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -108. Suppose -a*r = 44 - 244. Suppose -4*x = 402 - r. Is -87 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1996 and 137\/24.\nAnswer: 11976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, -321267\/2, 0.0329?\nAnswer: -321267\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3124740542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328986 and 784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49453351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from wiwiii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4495327.\nAnswer: 17, 23, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13328.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**2 - 19*r + 2095. What is i(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-3 - -2 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 2580 + 290 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:09 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*y**2 + 205*y**2 + 293*y**2 - 37*y**2 + 90*y**2 to q + a*y + u*y**2 and give u.\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83687311 is divided by 127?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 5*i + 6. Suppose 202 = -42*x + 370. Determine n(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2. Let v(o) = -15649937*o. Determine v(t(h)).\nAnswer: -46949811*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0, -3, -2\/15, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 432317513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*t**3 - 35*q*t - 6*q + 7*t**4 + 2*t**3 - 5*t**2 + 2 wrt t?\nAnswer: -12*q*t + 84*t**2 + 12*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44739714289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 4*d**2 + 8*d - 1. Let h be j(-6). Let l(t) = -9 + h - 10 - t**2 - 11 + 18*t. Calculate the remainder when l(7) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11318 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: Which is smaller: 413221 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 1. Let w be q(1). Suppose 3*p + w*p = 0. Find the third derivative of 0*v**2 + p*v**2 - v**5 + v**2 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -2, 0, -0.89, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*r - 14, w = -5*r + 2*w - 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179\/4 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 19 = 3*b, 16*b + 2*v + 32 = 12*b. Let o be 4\/((-24)\/9)*12\/b. Determine k so that 16\/7*k**o + 0 - 16*k**5 - 456\/7*k**3 + 32\/7*k - 452\/7*k**4 = 0.\nAnswer: -2, -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.624516l in millilitres?\nAnswer: 1624.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3 - 9. Suppose 0 = q - 4*q. Let o(m) = 14*m - 23. Let a be o(2). Solve -2*w - 2*z - 2*z = 14, q = -a*w + s*z + 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by -3\nAnswer: 406\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41601125 - -165?\nAnswer: -41600630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.022 (b) 4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 16 (b) 1.1 (c) -1\/7 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1256 and 16\/1727?\nAnswer: 13816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-16)\/36*(-9)\/(-6). Suppose 0 = 2*i - 3*i. Let a be (-3 + 1)\/(4\/(-2)). Sort a, j, i in decreasing order.\nAnswer: a, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -821*j + 176309. Give n(215).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)\/(k\/k**1) assuming k is positive.\nAnswer: k**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15) + (-81)\/(-15). Suppose 3*s = 4*b - 16, f*s + 49 + 26 = -3*b. Let t be s\/42 + 44\/7. Solve -15 = -r + t*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546009 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 0. Let s = 3 + y. Let o = -5 - -7. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3 + 3. Let r be -52 - (1 + -1 + 2 - x). Let j = 39 - r. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1097128576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106539 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**2 + 802267*s + 18791548?\nAnswer: 6*s + 802267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**3 + 2*p**2 - 1. Let v = 1 + -2. Let o be h(v). Suppose -4*b - 1 = 7. Sort 4, b, o.\nAnswer: o, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 5, -7, -33, -79, -151?\n\"Answer: -k**3 + 2*k**2 - 3*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.880446 weeks to days.\nAnswer: 34.163122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q - 21*q - 1008 = -75*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2419, -2409, -2399, -2389?\nAnswer: -2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0*n - 2 + 5*n - 9 - 3*n. Let b be y(7). Which is greater: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.6164 - 14.9164. Let y = 3.8 + 1.2. What is the second smallest value in -13, y, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 18. Let j(w) = 3 - 4 + 0*w + h*w + 2. Give j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 196655*o - 1573284. Calculate b(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/109 + 1981073\/83058 - 38?\nAnswer: -85\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/252)\/((-405)\/(-1134)))\/(-1).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -142?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z**(-15)*z)))\/(z*z\/(z\/z**18)*z))**(-32))**28 assuming z is positive.\nAnswer: z**30464","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*x + 107*x - 56*x - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1385 = s - 2*t - t, 2*s - 2773 = 3*t. List the prime factors of s.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 8*u + 30*u - 16*u - u**4 + u**2 as t*u**3 + l*u**2 + a*u + j*u**4 + q and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2757 + -3.7243. Which is the second smallest value? (a) 1.4 (b) x (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/((-36)\/(-1440)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 570.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbrbbrtbbb. What is prob of sequence rt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 26647.06 to the nearest ten.\nAnswer: 26650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b - 5 = 0. Let g = 2 - b. Solve -3 = s - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16030, 16026, 16024, 16024?\n\"Answer: n**2 - 7*n + 16036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/279 + 41009\/558. Suppose 2*g = 4*g - 144. Let h = b - g. What is the second smallest value in h, 0.5, 1\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-28\/5)))\/(j**14*j*j*j)*j*j**(-11)*(j**25\/j)\/j assuming j is positive.\nAnswer: j**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yoooroy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 216630 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 10*w**2 - 9*w**2 + 7*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 98.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*t - 5*f - 2 = 0, f = 2*t + 1. Let w be (19 - 19)\/(t + 0). Solve -o + p - 8 = 0, 4*o + 2*p = -w*p - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(26 + -4 + 4). Sort v, 0, 2\/11.\nAnswer: 0, v, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 864, 2460, 4830, 7974?\nAnswer: 11892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2911 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 6*o + 9 + 4*o**2 - 3*o**2 to the form k + h*o + j*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + p - 5*p)*(74 - 37 - 40 - 2*p**3) as d + j*p**2 + n*p**3 + l*p + m*p**4 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/79 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.3, 9, 0.2?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 1:47 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*f - 9 = 0, 2*f = -4*y + 3*f + 9. Solve -m + 10 = y*m - 2*h, -15 = -3*m + 3*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -195, -481, -871, -1347, -1891, -2485?\n\"Answer: 3*s**3 - 79*s**2 + 52*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12480 divided by -30\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(2\/13)))\/(s**3*s))**(-16\/3)*(s**(-2\/3)*s*s*(s*s\/((s**(-1\/4)\/s)\/s))\/s*s)**(-12) assuming s is positive.\nAnswer: s**(-583\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10713*k + 10528*k = 21635*k + 16942 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00746 and 4.\nAnswer: -0.02984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 2*z**2 - 4. Suppose 9*l - 20 = 4*l + 2*v, -4*v = 0. Does 30 divide d(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -1, -8, 5, -0.3, -8.9 in decreasing order.\nAnswer: 5, -0.3, -1, -8, -8.9, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -10*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -94460 divided by -94460?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 + 538450*x**3 + 175*x - 426 wrt x.\nAnswer: -20*x**3 + 3230700*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {o: 2, z: 1, b: 1, c: 1, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 4\/9, 702, -0.9.\nAnswer: -0.9, -3\/8, 4\/9, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/(g**(11\/3)\/g*g)*g**(-2\/21)\/g**(-1\/11))**45 assuming g is positive.\nAnswer: g**(4605\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 16a?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235.77 + -0.23. Let t = f - -241. What is the smallest value in -30, -1, t?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2029 - 1894. Solve -u*b + 125*b + 80 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 103. Solve -4*v + r - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/((-14)\/2224) - -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69451 and 135917?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 - (0 - 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**7\/105 - 3*g**6\/40 + g**5\/6 - 239*g**3 - 7417*g**2. What is the first derivative of p(m) wrt m?\nAnswer: 8*m**3 - 27*m**2 + 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190*s**3 - 20599*s**2 - 13800291.\nAnswer: -570*s**2 - 41198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 184 - 69 - 6*h - 78.\nAnswer: -6*h - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.9, -0.4, -77, 2\/7, 24\/7, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 12868, 2\/3, -1\/7.\nAnswer: -1\/7, 2\/3, 6, 12868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:18 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*-2*sqrt(624))\/(sqrt(84)\/(sqrt(7) - 5*-3*sqrt(7))).\nAnswer: -64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46960 less than -57788?\nAnswer: -104748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 76 - 13 = 0. Let v(m) = 2*m**3 - 27*m**2 + 24*m + 50. Is v(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*y = -3, 4*l - 11 = 4*y + 1. Let b be 0\/(l*(1 - 0)). Suppose 5*m - 10 + 0 = b. Let i(t) = t**3 - 3*t**2 + 2*t - 2. Calculate i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 10. Let q be g(10). Suppose 3*c - 3 = -q. What is the units digit of c\/(3*2\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(1539))**2 - -2*(sqrt(1900) + (3*sqrt(1900))**2).\nAnswer: 20*sqrt(19) + 43434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -9 (c) -2\/27 (d) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25472, -25466, -25440, -25382, -25280, -25122?\nAnswer: -24896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2. Let k(o) = 33*o**2. Determine m(k(h)).\nAnswer: 5445*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12959819 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9138712 milligrams in tonnes?\nAnswer: 0.0000000009138712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (10 - 18) + 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - (6 - -4 - 10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22871 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(8) - (sqrt(8) + sqrt(32)*-4)) - (2 + 2*(2 + sqrt(7))))**2.\nAnswer: 45*sqrt(7)\/2 + 3879\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913838225 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 45*o + 147. Calculate z(43).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2971 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*j + 10, 2950 = -2*l + 4*j + 2938 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 5*p + 15*f, 2*p - f - 37 = -2*f - 4*f for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2. Let l(h) be the third derivative of -5*h**4\/24 - h**3\/6 + 29*h**2. Let d be l(-1). Let n(i) = -d*i - 4*i + 10*i - 3*i. What is j(n(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 165144073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4 + 24. Suppose 35 = l*j - 15. What is the remainder when 36 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Sort m, 3, 2 in ascending order.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7388 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7526163 and 5690?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n + 2. Suppose -n*s - 4 = -5*s. Suppose -m + 3*m = s. Which is the closest to -1\/2? (a) m (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 251 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/3 - -31 - 3. Suppose 0*r + x = 3*r. Suppose 3*z - r = g, 9 = -g + 4*g. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 + 8)*(-1 - b + 1) + 3 + 0 + 2*b + 2)*(12 - 12 - 3*b) in the form n + a*b + m*b**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160216, -160179, -160108, -159997, -159840?\nAnswer: -159631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 455\nAnswer: -454.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 plus 148.11?\nAnswer: 147.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143012550 by -318.\nAnswer: 449725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4985, 4960, 4935?\n\"Answer: -25*f + 5010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*d = 169*d - 64. Put -9, d, 2 in increasing order.\nAnswer: -9, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 5*j**2 - 5. Let u be g(5). Let p be -1*1 + (-15)\/u. Suppose 1\/4*k**5 + 9\/4*k**3 + 0 + 1\/2*k + 7\/4*k**p + 5\/4*k**4 = 0. Calculate k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70.7*0.01\nAnswer: -0.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -640 + 640. What is the closest to p in 0.6, 0.04, -11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1173*y - 1168*y - 58520 = -5*r, -4*y = 2*r - 46826. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225.90016 - -226. Let z = b - 0.1. Round z to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 678106241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*c**5 + 2*c**4 - 9043*c**3 - 2381364*c**2 - 5 wrt c?\nAnswer: -1680*c**2 + 48*c - 54258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2988 and -131\/4980?\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91780 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13392601?\nAnswer: 23, 179, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 = a - 17, 6 = -a + 3*t. Let c(x) be the first derivative of 0*x - 2\/95*x**5 - 1\/57*x**6 + a*x**2 + 1\/38*x**4 + 3 + 2\/57*x**3. Factor c(s).\nAnswer: -2*s**2*(s - 1)*(s + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 30227*k**3 - 10 - k.\nAnswer: 30227*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((342\/(-266))\/(6\/(-14)))\/((-45)\/(-57)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -5*j + 2*f, -2*f = -2*j. Let d(m) = 7*m**2 + m + 6. Let o(i) = 8*i**2 + 2*i + 8. Let b(h) = 6*d(h) - 5*o(h). List the prime factors of b(j).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-570)\/(-171).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 40*r**2 + 131*r - 65. Let m(x) = -x**2 + 7*x + 43. Let n be m(7). What is the lowest common multiple of l(n) and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 123 = -5*r + 2*r, -5*a + 199 = r. Let f = -5 + a. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3090 by 6.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/(((9\/(-10))\/3)\/(4512\/470)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0055158 and -34.\nAnswer: 0.1875372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1096178 by 2.\nAnswer: -548089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gczc when four letters picked without replacement from {c: 2, a: 8, g: 4, z: 4, x: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 52138955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-22) - 46\/(-11). Suppose -3*t + 3 = -0*r - r, -2*r + c*t = 2. Solve 0 = 4*z - 2*x + 6, 2*z + x - r = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Suppose 5 = -4*g + 13. Let q(a) = 1 - 3 - a**g + 2. Determine r(q(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*x - 762*x + 252*x + 237*x.\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:51 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 18. Suppose -3*x - 30 = -5*x. Let n = 5 - x. Let j be a(n). Solve 4*d + r + 0*r = 15, 0 = -5*d + j*r + 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2. Suppose -2*g + 6*g = 16. Let y(p) be the first derivative of 2 + 4 + p**3 - 3 + g. Calculate y(b(m)).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -35*f**4\/6 - 49*f**3\/6 + 9*f**2 - 3. Let v be i(-7). What is v rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 6*y - 21. Let n be f(-9). Find the second derivative of 27*w - 18*w**2 - 6 - n + 12 wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8020.\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 - 52*l**2 + 47*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**3 + d**2\/2 + d. Let z be b(-1). Solve z = -4*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -328. Suppose 2*g - d = -4. Let h = -2 + g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1646*a**4 - 11*a**3 - 608*a**2 - 7*a - 8.\nAnswer: -39504*a - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 9 - 2*k - 4 + 8*k - 3*k - k + (1 + 0 + 0)*(0 + 4*k + 0) - 16*k + 5*k - 7*k.\nAnswer: -12*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659358 is divided by 414832.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 47. Let l be w(-21). Suppose -3*r = -x - 5*r + 1, -l*r - 5 = -5*x. Is 590\/60 + (-2)\/(x*-12) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011101011000 (base 2) to base 10\nAnswer: 10072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 55 (c) -844 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 876, 2014, 3408, 5058, 6964, 9126?\nAnswer: 11544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330*v + 630*v - 518*v + 611*v + 1901*v**2 + 752*v wrt v?\nAnswer: 3802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 502\/10 - (-6)\/(-30). Suppose -5*p = -3*g + f, -4*g + 46 = -g - p. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056652350 to the power of 1\/4, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (-5 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6 + 0*c**2 - 3*c**2 + 0*c**2 - 3*c + 2 + c**3. Is d(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29257465*c**3*y**2 + 2*c**3*y - 10*c**3 + 1631*c**2*y - 8*c + 2*y**3 wrt y.\nAnswer: 58514930*c**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25)\/(-15) - 2)*-889167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 1, c: 1, f: 1, r: 1, t: 2}. What is prob of sequence hrfs?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180946918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1880585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 1. Let y be f(1). Let z(p) = y*p**2 - p**2 - 7 - p**2 + 3*p. Let h be z(-5). Solve 0 = -h*w - 17 + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248936190?\nAnswer: 2, 3, 5, 8297873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 6*y + 3. Let x be l(6). Suppose 4*f + 4*z - 6 = 2, -5*f + 10 = x*z. Suppose 3*b = f + 4. Solve 8 = -2*g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 809, 791, 769, 743, 713, 679, 641?\n\"Answer: -2*x**2 - 12*x + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127562 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 248, 1, 2, -18 in descending order.\nAnswer: 248, 2, 1, -2\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:39 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 431, 379, 327, 275, 223, 171?\n\"Answer: -52*u + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1458121 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131398 (base 15) to base 7.\nAnswer: 10531634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8178 - 8178.0021012. Round h to 5 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1934*p + 1352*p - 1779*p = 44859 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = 2*p - 673. Let m = 530 - p. What are the prime factors of m?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f + 54*f - 610 = -4*f. Solve 2*d - 6*d + 32 = -f*m, -3*d - 7 = 4*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.2413 and 0.0048.\nAnswer: -1.2365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312426.\nAnswer: 2, 3, 17, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*j + 32 + 200, -164 = -3*j - v. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 9*j**2 - 9*j - 3. Suppose 15*d = 10*d - 40. Let y be g(d). What is the second smallest value in -0.2, -0.3, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:07 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaee when four letters picked without replacement from juaeaecee.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1 + 2)\/2. Suppose -s = -3*u + 26, -u + p*u + 4*s + 13 = 0. Suppose 0 = -u*d + 3*d. Solve d = -0*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -67275213 divided by -3?\nAnswer: 22425071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16065865*f**4 - 6470611*f**2 - 2*f.\nAnswer: 385580760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + 10?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -20*m**5 + 3755*m**4 + 221860*m**3 + 51470*m**2 - 221840*m - 55225 = 0.\nAnswer: -47, -1, -1\/4, 1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 119 + (-23)\/(161\/42). Suppose 3*t - 56 = 28. What is the highest common divisor of l and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64855 + -92666. Round n to the nearest one hundred.\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12640 (base 10) to base 8\nAnswer: 30540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/10*-2 + 1310\/(-7). Let j = -186 - a. Is 3 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 234*a**3*s + 99*a**3 - 2*a wrt s?\nAnswer: 234*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 7. Let l be d(-5). Suppose 2*s + l = 3*s. Suppose 22*g - 9 = 57. Solve -g = -s*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2970067 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3*4140866\nAnswer: -12422598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**6\/900 - k**5\/300 + k**4\/10 + 11*k**3 - 12. Let j(s) be the third derivative of a(s). Factor j(t).\nAnswer: -2*(t - 2)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -3*g + 1944. Are g and 854 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftb when three letters picked without replacement from otttgfb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*s**2\/5 - 1013104*s\/5 - 8018591522\/5.\nAnswer: -2*(4*s + 63319)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 30 + f + 3*f**2 - 30 - 2*f**2 + 4. Give p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*d**3 - 189*d**3 + 91*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 11:24 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631 - -647. What is the highest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4459 + -2695. Is 49 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1690 - 1552. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089*b - 41838 = -310*b + 11913 for b.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.045601757182\nAnswer: -2.045601757182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 517*h + 267289\/2.\nAnswer: (h - 517)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 3*l)*(2 - 1 - 3) + 0*l - 2 + 6 + 5*l + l - l + 2*l.\nAnswer: 5*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 64*w + 2. Let u(y) = -275*y**2. Give g(u(q)).\nAnswer: -17600*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/6))\/((g*g\/g**(-12))\/g))\/(g**(2\/3))**(-10\/11))**16 assuming g is positive.\nAnswer: g**(-1976\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30121231 (base 4) to base 14\nAnswer: -14725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.3904 to zero decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) -4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = -33*f + 246199 + 44497. What are the prime factors of f?\nAnswer: 2, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -2.2.\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/41 (b) -3 (c) -49 (d) -107 (e) -5 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16762 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/(317400\/10350).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1869158.6 to the nearest ten thousand.\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(847) + -4 + -1*sqrt(847))**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 17.24077864?\nAnswer: -17.04077864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5407177, 5407175, 5407173, 5407171, 5407169, 5407167?\n\"Answer: -2*t + 5407179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 7, 15*s + 2 = -12*s + 24*s + 2*r. Let a be 1*(8 + 1) + 2. Sort 1, a, s, 8 in decreasing order.\nAnswer: a, 8, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*d + 422 + 326. Let f(c) = 5*c**2 + 16*c + 1. Let o(s) = -s**2 - 3*s. Suppose 5*m - 4*q = -5*q + 15, -3*q + 23 = 4*m. What is d*o(x) + m*f(x)?\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p + 624 = 68*p. Let w = p - 35. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -353*s - 4533 + 14770 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-39267)\/26487 - -4)*3*-2. Let m = -136\/9 - q. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.8 + -18.5. Let z = -7.3 - c. Let h = -1.01 + 0.01. Sort z, -0.05, h in increasing order.\nAnswer: h, -0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 15 - 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-4)\/(-6)*-1). Let a(z) = 2*z**2 + 6*z - 3. Let c(q) = -2*q**2 - 7*q + 4. Calculate m*a(s) + 2*c(s).\nAnswer: 2*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b224 + -882?\nAnswer: a562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 57 (b) -0.9 (c) 29 (d) -0.06 (e) -3\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 15*i**2 - i + 15. Calculate m(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.8. Let o = -43 + 42. Let t = 3.6 + -4. Which is the nearest to o? (a) -3 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520*-408686\nAnswer: -212516720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1019049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*(1 + sqrt(304)) + (sqrt(304) - (sqrt(304)*2*-2 - sqrt(304))) + sqrt(304) + sqrt(304) - -3*4*(sqrt(304) + -1)*-1))**2.\nAnswer: -520*sqrt(19) + 7769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*k + 2*k. Let o be ((-2)\/k)\/((-1)\/(-5)). Suppose 0*v + o*v - 14 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 6. Let n(w) = -w**3 + w**2 - w - 16. Let h be n(-3). Suppose -b + h - 8 = -3*z, 0 = 3*b - 9. Sort -3, x, z.\nAnswer: z, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-9) + -3)\/(21640\/(-19476))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 19*f**4\/12 + f**3\/6 - f**2\/2 - 2*f. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + (sqrt(18) - (-2 + sqrt(72)))**2.\nAnswer: -9*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*n + 1447*n - 6 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0*t + 0*t)*(-t**3 + 5*t**3 - 2*t**3 + (4*t**2 - 5*t**2 + 2*t**2)*(-t - 2*t + 2*t) - 4*t**3 + 14*t**3 - 2*t**3 + 2*t**3 - 3*t**3 + 0*t**3).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -1. Let i(q) = -8*q + 125. Calculate the smallest common multiple of 21 and i(d).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 366*u**2 + 162*u + 5. Let x be g(-2). Calculate the highest common factor of x and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/270*42)\/(((-3)\/20)\/(162\/72))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**3 + 4*d - 1. Let u(x) = 9*x**3 - 3*x + 2. Let i(t) = 3*q(t) + 4*u(t). Find the first derivative of i(y) wrt y.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb (base 16) in base 3?\nAnswer: -21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i - 11*i - 36*i)*(-2 - 5 + 4) + 0*i + i + i + 10*i + 2*i - i as s + u*i and give u.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - 1.78. Let r = b - 0.2. Let q = 2.19 + r. What is q rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10563 is divided by 2112.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 20247?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35662.\nAnswer: 2, 11, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 times -12479?\nAnswer: -811.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22470\/6741*(6\/(-92))\/(-1).\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (10 + -20 - (-4 + 4) - -7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 0.8, -6, 9\/2 in decreasing order.\nAnswer: 9\/2, 0.8, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9408674*i**2*s**2 + 3*i**2*s - 12*i*s**2 + 2*i*s + i - 2*s**2 - s + 210258 wrt i.\nAnswer: -18817348*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -223*k**2. Let p(u) be the first derivative of u**3\/3 + 121. What is g(p(r))?\nAnswer: -223*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q + 3*o, -294*q = -299*q + 5*o + 65. Sort q, -1, 3 in decreasing order.\nAnswer: q, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*sqrt(200)*-5 - (sqrt(200) + -4 + sqrt(200)*-4)**2) + -5.\nAnswer: -1823 - 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v, -5*d + 1 = 4*v - 1. Factor 6\/5*p**d + 6\/5*p**3 + 2\/5*p**4 + 2\/5*p + 0.\nAnswer: 2*p*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and -111741.76.\nAnswer: -111740.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (15048\/(-304) + 11)*((-24)\/14)\/(-2)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8336e + -2?\nAnswer: 8336c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -30022943.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 12:00 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 62*k**3 - 32*k**3 - 2*k - 31*k**3 + 10*k**2 to q*k**2 + x + b*k + r*k**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101011001 (base 2) in base 16?\nAnswer: -1559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 14) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -40, -59?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + (-134 - (-150 - -96)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-3)\/(-1))*-2. Suppose y*q = q - 2. Is q\/6*-21*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 2*i**2 + 8*i - 11. Let o be q(3). Let j be (-18)\/(-20) - (-17)\/(-34). What is the third biggest value in o, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4985 rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (122\/(-9))\/(10\/15) and -41\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 131?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 8, -5\/134, 0.1, 42, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102258 = -162*c - 275*c. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - (4 - 0)) + (-173 - -180).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/7))**41*d*d\/d**(-2)*d*d**5)\/(((d**(-5)*d*d)\/d**(-4\/3))\/(d**2\/(d**4*d))) assuming d is positive.\nAnswer: d**(1289\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a factor of 9550149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4 + 5*x + 4*x + 1 + 9. What is the remainder when p(5) is divided by (-55)\/(-2) + (-3)\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -148 + (-57 - -150) - -128.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or -54?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:05 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -194. Suppose d + 73 = 4*d - 2*t, 5*d - 4*t = z. Let u be 14\/(-49) - (-2902)\/14. What is the highest common factor of d and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 3, i: 3, z: 2, a: 1, l: 3}. What is prob of picking 1 r and 2 p?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -5) + (-6)\/(-3). Is u\/2 + 1 + 27 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18768 divided by -1?\nAnswer: -18768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 281969, 1127933, 2537873, 4511789, 7049681, 10151549, 13817393?\n\"Answer: 281988*n**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2824a (base 12) to base 6.\nAnswer: -1105334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 3 - 12, 2*f = 3*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2208 and 6716.\nAnswer: 161184","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-702)\/(-144) + (-2)\/(-16). What is the highest common divisor of z and 240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94162758 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -37, -150, -371, -736, -1281, -2042, -3055?\nAnswer: -4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15708 + 15647. Which is the biggest value? (a) -0.4 (b) x (c) 10 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 11*m**2 - 1. Let y be z(-11). Let o(n) = 4*n**2 - 10*n**3 - 3*n**2 - 1 - 16*n**3. What is the tens digit of o(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130057 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 11834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-12))\/(4410\/945).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.04, -1\/4, -4, -0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-2\/7)\/c))\/((c*c\/(c\/c**(4\/5)))\/c))**(4\/9)\/(((c**6*c)\/c)\/c**(-2\/7)*(c*c\/((c\/(c*c*c**(-1)*c*c*c))\/c*c*c))**(2\/39)) assuming c is positive.\nAnswer: c**(-23876\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 16*s**2 - 5*s - 3. Let f be u(16). Is f bigger than -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366*a**4*y - 2642*a**3*y - 2*a**2 + 12*a*y + 4*a + 7*y + 322 wrt a?\nAnswer: 4392*a**2*y - 15852*a*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6275, 6276, 6277, 6278?\n\"Answer: t + 6274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188928 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*z - 1 - 11 - 6*z**3 - 164*z.\nAnswer: -6*z**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*d = -25*d + 2070 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5989 divided by -1\nAnswer: 5989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3*l + 4472*k**3 + 3929*k**2*l with respect to l.\nAnswer: -k**3 + 3929*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 7*u**5\/60 + u**4\/12 - u**3\/3 - u**2. Suppose 0 = -14*k - 13 + 27. Let l be c(k). Which is greater: 4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -19. Let z = -272 - -289. Sort f, 23, z in descending order.\nAnswer: 23, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 882. Calculate the remainder when y is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -14, -2, 5\/2, 6, -0.92?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/10)\/((-6)\/(-180)). Let w be (b\/45)\/(2\/5). Suppose 5*z = -4*f - 56, 3*f - 2*f + w*z = -11. Is f at least as big as -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 2*n**2 + 4*n - 5. Let t(d) = -5*d**3 + 10*d**2 + 19*d - 26. Let m(f) = 11*l(f) - 2*t(f). Suppose 5*p - 20 = -0*p. Give m(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32442906 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 9. Calculate u(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12474, 13136, 14926, 18408, 24146, 32704, 44646?\nAnswer: 60536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 38 (c) 2 (d) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69924?\nAnswer: 2, 3, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 301*g - 3. Let t(s) = -2*s**2. Give w(t(p)).\nAnswer: -602*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -273152?\nAnswer: -273157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249711 and 3381.\nAnswer: 1747977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-2))\/(((-20)\/152)\/(-5)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/90 and -127\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.11, 4, -0.049, -12\/11, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3833?\nAnswer: 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 50.462ng?\nAnswer: 0.000000050462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 11. Calculate the remainder when 50 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 45 = -3*f. Suppose -3*k - 2*k + f = 0. What is the third derivative of 0*q**2 + 4*q**2 - k*q**2 + 6*q**5 wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.7*10634\nAnswer: -198855.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977770183?\nAnswer: 101, 113, 173291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 j when three letters picked without replacement from fjjwwujujfjfw.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -2, 62, -1.3 in descending order.\nAnswer: 62, 1, 0.3, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509939 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 - 5*d + 3. Is w(-6) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -184 and -3742946.021227?\nAnswer: 3742762.021227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1310 + 8.\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 + -109. Calculate the lowest common multiple of 6 and r.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*s - 172116*s**3 + s**4 + 4 - 2 + 172130*s**3 to l*s**4 + j*s**3 + b + g*s + c*s**2 and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314555?\nAnswer: 3, 5, 11, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.224 + 0.167. Let x = a + 0.657. Sort -3\/5, 5, x in decreasing order.\nAnswer: 5, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddlddjdjddjljjjdl. Give prob of picking 2 d and 2 l.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 4*z + 10, 0 = u + 2*z - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3986 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + w**2. Let b(s) = -3*s**3 - s**2. Let o = 165 - 162. Let a(d) = d**3 - 9*d**2 + d - 5. Let v be a(9). Give o*b(q) + v*f(q).\nAnswer: -q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 + -169. Let p be (-6 - -7) + (1 - 29). Let r = p + 30. Solve -2*j - f*j = -12, r*u = -3*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 + 13*m - 11 - 2*m wrt m?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {r: 2, n: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 170 + (-35)\/5. Let n = -151 + s. Solve g = -3*g + n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*r - 172*r - 316. What is the remainder when r is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 71. Let r be 6\/(-21) - w\/14. What is the third derivative of 2*h**5 + 2 - 2*h**r - 2 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-30)*75\/(-19). Let t = k + 25\/76. Let l = 0.38 - 0.08. Which is the second smallest value? (a) -5 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/27848160 and -53\/600.\nAnswer: 139240800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**2 + 4*w - 1. Let q be p(1). Let b be ((-44)\/110)\/((-2)\/q). What is the first derivative of 28*x**b - 4*x**3 - 34*x**3 - 52 - 2*x**4 wrt x?\nAnswer: -8*x**3 - 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2085*o - 6272*o - 111714 - 1204683 = 6774*o for o.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1288 by -184.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002028559 rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aonenooaaocnooaoo. What is prob of picking 1 a and 1 n?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 2*i + 16, 0 = 5*p + i + 4 + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 10*h + 6. Let x be m(-9). Let a be 2 - (3\/x - 2). Suppose -15 = 3*j - 45. What is the greatest common divisor of j and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n**4 + 100*n**3 - 110*n**2 + 4*n. Let v(p) = 32*p**4 - 197*p**3 + 219*p**2 - 6*p. Let u(l) = 5*t(l) + 2*v(l). Factor u(g).\nAnswer: -2*g*(g - 2)**2*(13*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 4*v, -4*i + 11 - 2 = -3*v. Solve i*k - 8*k - 5*p - 15 = 0, k = 2*p + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 566629?\nAnswer: 566612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 4. Suppose -4*t + 2 = -k, -6 = -k - 0*k + 2*t. Suppose -4*q = 5*p + k, 5*p + 9 = 6*q - 5*q. Calculate v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3500*p. Let q(g) = -19*g**2. Determine x(q(s)).\nAnswer: 66500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, t: 1, a: 4, z: 1}. Give prob of sequence ax.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 a when four letters picked without replacement from {a: 2, e: 1, x: 2, w: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 18*g**2 + 3. Let y(d) = -9*d**2 - 2. What is 3*b(n) + 5*y(n)?\nAnswer: 9*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (29\/1740)\/((4\/(-32))\/(-1))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 9*l**2 - 16*l - 8. Let t be b(6). Suppose 16*c - t*c = -5292. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*f + 7*f + 23*f)*(2*f**2 + 0*f**2 + 0*f**2) to the form h + j*f + z*f**2 + p*f**3 and give p.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -6984, -1 in decreasing order.\nAnswer: 52, -1, -6984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by 77\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009266 rounded to four decimal places?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 18 = 27, -p - 55476 = -3*m. Suppose 4350 - m = -w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -6.08. Let f = 10 - l. Let s = 0.295 - -1.705. Sort 1\/7, s, f in ascending order.\nAnswer: 1\/7, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 309636 = -31*r. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, -13, 3, 169, 1\/82?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 2. Suppose 3*j = 2*k - o, -3*k + 5*j - 3 = -14. Suppose 0 = -2*v + 5*v - 6. Solve -k*n = 4*r - 16, -v*r + 5 + 3 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*h + 1 - 3*h - h + 3*h + (3 - 1 - 5)*(2*h + 5*h - h) + 4*h - 3*h - 2*h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/11)\/r**(-2)*(r*r**(-2)*r)**2*((r\/r**3*r*r)**(3\/10))**(7\/5) assuming r is positive.\nAnswer: r**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-65)\/(-15) - (-1)\/(-3). Suppose 2242 = b*c + 158. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 995974*s. Let q(n) = 2*n. Calculate j(q(m)).\nAnswer: 1991948*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 - 38 = -17*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8816005 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300000 is divided by 46428.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**4*z*z**(-2)*z)**(2\/73) assuming z is positive.\nAnswer: z**(10\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/72)\/(1\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*p + 2*p + 69. Calculate the remainder when 33 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3870, -3888, -3906, -3924, -3942, -3960?\nAnswer: -3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 958 and 4279865?\nAnswer: 8559730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 974, -20, 4, -1.\nAnswer: -20, -4, -2, -1, 4, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/13 - 14*g**4\/13 + 448*g**3\/13 + 72*g**2 = 0. What is g?\nAnswer: -18, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*o - 803 + 3205 = -4484 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40309 is divided by 13342?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 8:51 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (2 + 2)\/(0 - 2). Suppose 0 = d*w + 211 - 59. Let n = w - -43. Solve -v = -a, 4*a + 4 + 14 = -n*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 times -0.5\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(-372))\/(105\/(-1764))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 9 - (0 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/25*(-29)\/(261\/30).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/5 - 18569946*p\/5 = 0 for p.\nAnswer: -18569946, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1107 - -1943. Suppose -t = -3*d + 5*d - a, 2089 = 5*d + 3*t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48644\/(-64816) + (-6)\/(-8). Let w = q + 360567\/56714. Calculate the common denominator of w and -95\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {p: 2, u: 4, q: 1, e: 1, x: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 4:27 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 249.2096 times 3\nAnswer: 747.6288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103010 is divided by 136.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + (-35)\/100. Let h = -235.525 - 0.475. Let y = h - -237. Which is the closest to y? (a) w (b) 3 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4 + 19*p**2\/2 + 2. Find the second derivative of s(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*r**2 - r + 3*r + 12*r**2 + 27 wrt r.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t*t**(2\/23))\/t*t)**(-1))**(9\/8))**(2\/75) assuming t is positive.\nAnswer: t**(-213\/2300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62.903 - -63. Let g = 234856.9 + -234856.8030109. Let v = q - g. Round v to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/587 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -30*b**2 - 7 - 7*b - 2 + 34*b**2. Let i be h(3). Solve -4*w + i*w = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-24 - -30) + (-6 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 502371 + 502371.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83724 + -83716.9901. Round u to one dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.7. Let b = -47243 - -47242.78. Sort 2\/11, n, b in ascending order.\nAnswer: b, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000204 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23ab0d (base 16) in base 10?\nAnswer: 2337549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 920393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(-5)\/i)*i)*i**(-1\/2)*i*(i*i**7*i)\/i**(-1\/4))\/((i**(6\/11)*(i*i**(-3\/5))\/i)\/((i*i*i**(-1\/3)*i)\/i)**23) assuming i is positive.\nAnswer: i**(27151\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14267581, -28535160, -42802737, -57070312, -71337885, -85605456, -99873025?\nAnswer: -114140592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6389, -0.4, -3, 1, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-10))\/(l*l\/(l*l\/(l*l\/(l*l*l**(-4)*l)))*l)*l**(-1\/26)*l*l*(l\/(l\/(l\/(l*l**(2\/43))*l*l))*l)\/l assuming l is positive.\nAnswer: l**(12203\/1118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -46, 40 in decreasing order.\nAnswer: 40, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:25 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/17)\/((-8)\/32*-8)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5707012?\nAnswer: 2, 1426753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -3*w**3 + 0*w + 20\/3*w**6 + 23 + 0*w**2 + 0*w**4 + 0*w**5. What is the third derivative of p(m) wrt m?\nAnswer: 2400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12066, -38939, -83728, -146433, -227054, -325591?\nAnswer: -442044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -257982*j + 11101961.\nAnswer: -257982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3312 divided by -107\nAnswer: -3312\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 25, -4*w + 8 + 3 = -q. Suppose -d = d - w. Suppose 0 = d*o + 2*o - 60. Solve -4*v = -v + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2 - (-19 - -18)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -317*m*r + 2*m + 12*r + 56 wrt m?\nAnswer: -317*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191760701 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 - 4*f)*(201 - 34*f - 201) in the form y*f**2 + j + v*f and give y.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = d - 5, -v - 10 = -4*d + v. Let t = 2 + d. What is the third derivative of a**t - 4*a**3 - a**2 - 3*a**2 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 37. Let r be o(-35). Let s(m) = m**3 + 4*m**2 + m - 3. Let g be s(-3). Let a be -7 + g - (-9 - r). Solve j = a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 11*v. Suppose 0 = 4*n - 0*n - 8. Let q(m) = -172 + 172 + n*m**2. What is a(q(c))?\nAnswer: -8*c**4 - 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 - 2\/(12\/(-18)) - -241. Are d and 704\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*f + 5726, -5*f - 18*l + 5724 = -17*l. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/80 - m**4\/48 + m**3\/12 + 19*m. Determine h so that r(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t. Let w(z) = z - 1. Let r be 3 - (-1)\/(2 + -1). Let m = 10 - r. Let s = m + -5. Give s*b(h) + 2*w(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14111 - -15861. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 23. Let u(r) = 15*r**2 - 3*r - 4. Calculate the remainder when u(-1) is divided by c(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20101513*l**2 - 9165988.\nAnswer: 40203026*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -24 + 9 + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199a998 (base 12) to base 10.\nAnswer: 5430788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 3*y**2 - 27*y**3.\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - 118. Find the first derivative of -97 + 6428*k - 6428*k + 3*k**4 - 22 + 36*k**h - 113 wrt k.\nAnswer: 12*k**3 + 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10114\/389*(-1)\/((5\/50)\/((-5)\/(-25)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78083.9967753 - -78084. What is l rounded to 5 decimal places?\nAnswer: 0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126.1 + -113. What is j rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgaggggggagggp. Give prob of sequence gppr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 1)*(-3 - 2 + 1) + 448 - 768 + 414)*(4*k + 2*k - k)*(3*k**2 - 3*k**2 - k**3) to the form s + y*k**4 + a*k**3 + b*k**2 + l*k and give y.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 45.392\nAnswer: 1.81568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1816451*r**3*z - 120516*r**3 wrt z.\nAnswer: 1816451*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 24159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36564 and 1056.\nAnswer: 292512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13852265*s**3 - 1144*s + 482.\nAnswer: 83113590*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 7*v - 406 = 0. Let c = -50 - v. Let q(w) = -w**3 + 7*w**2 + 6*w + 8. Give q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n\/(n*n\/(n**0\/n*n*n))*n)\/n)))**(2\/57))**27*(n*n**(1\/4)\/n*n*n*n)\/n**(-5)*(n**(2\/9))**(2\/7) assuming n is positive.\nAnswer: n**(2095\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (-8)\/(-12). Suppose -d - 2*d = a. What is the second derivative of d*p**3 - 6*p + 7*p - 2*p**3 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.5587kg in micrograms?\nAnswer: 735558700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:44 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 596.83ml to litres.\nAnswer: 0.59683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17 - -16)\/(15\/(-112560)). What is the highest common divisor of n and 336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 17. Let b be a(15). What are the prime factors of (-10)\/(-2) + (-324)\/b?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 449*i**3*l**3 - i**3*l - 2*i*l**4 + 2*i + 2*l wrt l.\nAnswer: 2694*i**3*l - 24*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.46 (b) -20 (c) -1 (d) -250 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2707650, 2707482, 2707314, 2707146, 2706978?\n\"Answer: -168*h + 2707818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 82*x**2 + 5*x - 3. Let d be q(3). Suppose 250 = z + 2*k, z + 2*z = 5*k + d. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let a be -4 + 11546\/19 + -1. Let x = -603 + a. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -113, 3, -3, -1\/7.\nAnswer: -113, -3, -1\/7, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = q + f, 2*q - 3*f = 2*f + 36. Let o be -4 + (2 - (4 - q)). Solve n + o = 5*s + 2*n, 0 = 4*s + n - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 343 - 343. Suppose -u - 5*l + 7 = c, -5*l + 4*l = u - 3. Solve 2\/7*f**u + 0 + 2\/7*f = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 114\/20*118\/177. What is the nearest to 0 in 3, c, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 158*j**2 + 625*j + 102. Calculate y(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 2 v when four letters picked without replacement from vvvxfvxfvvxv.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -208. What are the prime factors of f?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 20162520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 146191805575 and 6.58?\nAnswer: 146191805568.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**2 - s. Give n(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*d - 15 = -5*g, -2*g - 9 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 9*f - 10*f + 7*s + 19, -4*f - 21*s + 121 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1257*p + 522*p - 1053*p)*((-1 - 1 + 0)*(p - 3*p + 3*p) + 2*p - 4*p + p).\nAnswer: 5364*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 401 = -14*l. Calculate the smallest common multiple of 70 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 6*u - 7. Let c = -66 - -62. Let m be f(c). Is m at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(3*s + 2*s - 3*s)*(-33 - 14 - 18).\nAnswer: -390*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 93*t - 54. Does 18 divide l(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r = 30*r + 50. Solve 2*y + 1 = y - d, -r*d - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98302976 by -1535984.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2759, -2807, -2907, -3083, -3359, -3759?\nAnswer: -4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Work out 11998.494 * -0.2.\nAnswer: -2399.6988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283827 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 15424?\nAnswer: 169664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = 9*n + 4*n + 435. What is the remainder when 936 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y + 20 - 18*y + 11*y + (5*y - 3*y - 3*y)*(-3 + 0 + 2).\nAnswer: -y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4677b9 (base 12) to base 16.\nAnswer: 1149bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1236566 - 13?\nAnswer: 1236553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3244 - -3246. Suppose 9 = 2*h - h. Calculate the remainder when h is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 859 + 2524. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 11708 + 11098 - 24336 - 501*j.\nAnswer: 3*(j - 170)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.464393mm?\nAnswer: 0.000009464393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -71 + 148 - 25*v + 6*v - 77. Let x(t) = 2*t + 5*t - 12*t. Calculate x(m(h)).\nAnswer: 95*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -666086035 and -666086036 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 360381 = 10941. Is 8959 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-15))\/(6\/10). Let f = 603 - 603.1. What is the nearest to 1 in f, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15*l**3 - 826*l**2 - 60*l - 238. Give y(-55).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l - 2 + 2 - 2 + 0. Let t = 12 + -8. Is b(t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 139*u - 132*u. Let h(b) = -912*b + b**2 + b**u + 0*b**3 + 913*b. Suppose -2*i + 16 = -3*w, 13 = 3*w + 5*i - 6. Determine h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(0*y**5 - 4*y**5 + 2*y**5).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3589, -14314, -32191, -57226, -89425?\nAnswer: -128794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.39 + -2.09. Let b = -0.55 - d. Let w = 0.15 - b. What is the nearest to 0 in w, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, -5, 72\/5, 16, -2\/3, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 269.8277, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 436009.67\nAnswer: -174403.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18178 divided by 122\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -52. Let r = -25.0094 - b. Round r to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -1728 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 3. Let o be (93\/(-124))\/((-1)\/8). Let b = -31 + 18. Let p(x) = 4*x + 7. Calculate b*i(j) + o*p(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-118)\/78 - 2\/13. Let n(w) = 37*w**3 - 3*w**2 + 1. Let o be n(-1). Let h be ((-9)\/o)\/((-12)\/(-8)). Which is the nearest to 0.2? (a) h (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and -48\/50447.\nAnswer: 454023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 40834, -3, -14, -0.5 in decreasing order.\nAnswer: 40834, 1\/5, -0.5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*f - 1757 = -1774, -5*q - 2*f - 15 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 484*h**2 - 48568*h + 1260160.\nAnswer: 4*(h - 179)*(h - 22)*(h + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 + 223?\nAnswer: 220.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1176, 2421, 3668, 4917, 6168, 7421, 8676?\nAnswer: 9933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 157*g**5\/5 + g**4\/4 + 400*g + 529. Find the first derivative of j(c) wrt c.\nAnswer: 628*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 40*h + 414. Let r be d(11). Are 853 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 - 74. Does 14 divide (q\/(-21))\/((-2)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (-6 - (13 - 16))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 6771?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138612534 and 24.\nAnswer: 554450136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 1091*x**2\/3 - 6515*x\/3 - 5425\/3.\nAnswer: -(x + 1)*(x + 5)*(x + 1085)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1936, 7793, 17560, 31243, 48848, 70381?\nAnswer: 95848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 42*q**3 - 626*q**2 - 212*q + 2278. What is g(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 1061, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 240*n**3 + 14400*n**2.\nAnswer: n**2*(n - 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kps when three letters picked without replacement from {k: 1, p: 1, m: 2, s: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -2*a, -2*l - 3*l = a - 2. Solve 0 = -i + a, 4*i - 23 = -t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -113285 times 0.0736\nAnswer: -8337.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125.7 + -126. What is the smallest value in -0.5, -3, -0.6, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t - 2*u + 59, t - 5*u - 66 = 0. Let l = -58 + t. Suppose 0 = -d + f + 9, -l*d + 0*d + 2*f + 22 = 0. Solve -d = 4*j - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5614, -5618, -5632, -5662, -5714?\nAnswer: -5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6)\/(l\/(l**13*l))*l\/(l**(2\/47)*l)*l*((l\/(l**(-8)\/l))\/l)\/l)**17 assuming l is positive.\nAnswer: l**(104465\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12380 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -3*u, 0 = 8*m - 3*u - 16159 + 16152 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 68503792 divided by 14\nAnswer: 4893128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 366949*f**4 - 801780*f.\nAnswer: 4403388*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:12 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/12 + 4*a**3\/3 - 5*a**2 - 2*a. Let f be x(8). Let z(j) = j**2 + 2*j - 2. What is the units digit of z(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 196 = -2*u - 2*u, 0 = -u + 2*k - 46. Let d = u - -56. Suppose 20 = d*z + 2*z. Solve -2*p - 19 = z*c - 6, c = -3*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128381, -256763, -385143, -513521?\nAnswer: -641897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*l + 43. Calculate the remainder when l is divided by (-3)\/(45\/6)*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2062698*s - 2127764 wrt s?\nAnswer: 2062698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/7)\/(1826\/6391).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 35419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 44*f**2 + 92*f**2 - 21 + 26*f + 4*f - 53*f**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - t - 4. Let p(d) = -d**2 + d. Let w(i) = 4*i**2 - 5*i - 1. Let g(s) = 5*p(s) + w(s). Determine 6*g(o) - 2*l(o).\nAnswer: 2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o*t**4 - 1764470*o*t**2 + 5947642*o + 2 wrt t?\nAnswer: -8*o*t**3 - 3528940*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43967976 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: Let z = 0.8 - -0.2. Let n = -99373\/45 + 21518\/9. Let p = -182 + n. Which is the second smallest value? (a) z (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -2*b + 6*n, 435*n - 439*n = 4*b + 32 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z + 0*z**2 - 19\/4*z**4 + 0*z**6 + 1\/56*z**8 + 0*z**7 + 30 - 1\/20*z**5 + 0*z**3. Find the third derivative of w(u) wrt u.\nAnswer: 120*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 + 6*x - 9. Let c be v(6). Let z = c - 7. Calculate the greatest common divisor of 50 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232241183.\nAnswer: 97, 2394239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.013 + 22.987. Let b = 1209982191.00000022 - 1209982214. Let c = b + u. Round c to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 18*u + 76. Calculate l(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*k - 35. Let f = -7 - k. Let m be (-2)\/f*(-5 + 5). Which is smaller: 1\/18 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1 - -4?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 45 - 6*z - 26)*(2 - 3 - 2).\nAnswer: 18*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 2, d: 2, e: 1, f: 1, q: 1}. Give prob of sequence dvdf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178130?\nAnswer: 2, 5, 47, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose 2*b - 190 = 4*c, p*b + 2*b - 5*c - 371 = 0. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8 and -9\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - 5) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*b**2 + b + 2)*(782 + 73*b - 782)*(-1 - 4 + 4).\nAnswer: 146*b**3 - 73*b**2 - 146*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.387 times -146520\nAnswer: 349743.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0d + -30?\nAnswer: bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-418)\/99) + 38\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 1528 = 0. Suppose 5*u = u + w. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122594, 245189, 367780, 490373, 612974, 735589, 858224, 980885?\nAnswer: 1103578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1589126.63 rounded to the nearest one thousand?\nAnswer: -1589000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84242312 - -84243939.39924. Let k = t - 1628. Let n = 0.6 + k. What is n rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + n = 97 - 1350, 5*s - 5*n - 1245 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0*s - 3*s - 3*s - 2. Let l = 445 + -447. What is the tens digit of h(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a**2 - 2*a**2 - 2*a**2)*(10347*a - 211*a**2 - 10346*a - 734*a**2) as j*a**3 + z*a**2 + i*a + k*a**4 + b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217*a**3 + 1 - 2 + 3 + 75*a**4 + 218*a**3 - a + 0*a - 11*a**2 to p + c*a**4 + g*a + z*a**3 + q*a**2 and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-10 + -1 + 76 + -3 + -54)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-378)*22\/165?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126251 - -41?\nAnswer: 126322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from 0.0570431551.\nAnswer: 0.6570431551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 + 9*k - 1. Let q be t(4). Solve 0 = -4*o - r, -4*r + q = o - 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 147858*w. Let b(q) = -2*q**2. Give x(b(m)).\nAnswer: -4*m**4 - 295716*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23374, 23741, 24352, 25207?\nAnswer: 26306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -34, -40, -48, -58, -70, -84?\n\"Answer: -f**2 - f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 16) to base 7.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00596 + 7.00596. Suppose 2*z + 3*z - 5 = 0. Which is the second biggest value? (a) 1\/2 (b) -0.3 (c) x (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1045, 2052, 3005, 3898, 4725, 5480?\n\"Answer: -a**3 - 21*a**2 + 1077*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*x = -20, -4*k - 4 + 39 = 5*x. Suppose -r = -6*r - k. Let f be (-1 - 0)*r - 1. Calculate the highest common factor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 42.21.\nAnswer: -675.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 182439 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6*c = -18. Suppose -8 = -q + 2*k, -2*k + 5*k = -3*q - 21. Let y(f) = -f - 1. Let o be y(q). Solve -o = -v + c*p, 2*p - 1 = -2*v - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 3582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/48 - (-63)\/14. Sort j, 5, -1.2, -4, -0.2 in increasing order.\nAnswer: -4, -1.2, -0.2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 18*h**2 + 127*h + 17. Determine n(-6).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32744 = -4897*d + 552*d + 162345 - 43014 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75558837?\nAnswer: 3, 2017, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(24\/72)\/(3\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4)*6*(-48)\/60*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/4, 5, -2, 7\/18, -1\/6, -1028?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 12:56 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 - 4*w**2 + w**2 + 2*w**2 - 2*w**2 + w**2 + (-5 + 4 + 2)*(6*w**2 + 0*w**2 - 5*w**2).\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*i**3*k**3 + 2*d**2*i*k**2 + 15*d*i**3*k**2 + 62*i**3*k**2 + 293746*k**3 wrt k?\nAnswer: -12*d**2*i**3 + 1762476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -0*r. Suppose r*h + 5 = 3*c, 2*c - 3 = -h + 4*h. Is c != 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)\/t)**(13\/3)\/(t**7*t*(t\/(t*t*t\/((t*t**(-7\/3))\/t)*t*t))\/t))**40 assuming t is positive.\nAnswer: t**(-720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*z - 4 + 24*z**2 - 13*z**3 - 866*z + 4 + 41*z**3 wrt z.\nAnswer: 168*z + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -111.3, -2\/11, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**3 + 2*l**2)*(2*l - 2*l - l**2) - l**5 - 5*l**5 + 2*l**5 + (2*l**2 - l**3 - 2*l**2)*(-3*l**2 + 3*l**2 - 2*l**2).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/11 + 2\/(-11). Let c(l) = l**3 - 9*l**2 + 6*l - 18. Let p be c(r). Which is smaller: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565406 is divided by 1549.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**6\/30 + 7*z**3\/6 - 4*z**2. Let v be 3*(-1 + (-1)\/(-3)). Let u(m) = 4 - 5 - m**3 + 3. What is v*x(q) + 7*u(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -26*d - 219. What is x(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 h when four letters picked without replacement from jhkjjjhh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*y**2 - 2*y + 5*y**3 - 22*y**2 - 29*y**2 + 2 to the form z + r*y**2 + b*y**3 + w*y and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 23 + 19*g**2 + 2*g - 2*g + 2*g**2 + (2*g - 2*g - 4*g)*(0*g + 2*g - 3*g) as j + w*g + m*g**2 and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*h = -47, 4*h - 5*h - 3 = 0. Let d = 25 - u. Solve r = 5*k - 19 + 2, -3*r = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3032 or -1\/11?\nAnswer: -3032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 1071.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7871\/6011?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 11*w + 126.\nAnswer: -(w - 7)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5168541?\nAnswer: 3, 7, 246121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/9 - 4*n**4\/9 - 2156*n**3\/3 - 12528*n**2 + 269730*n + 5694948 = 0.\nAnswer: -27, 21, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:08 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 8. Let r be s(-20). What is the closest to 0.1 in 4, r, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times -4.49?\nAnswer: 0.4939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42556?\nAnswer: 2, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1527 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8*o + 1008 = 0. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 - (6144\/(-680))\/(-2) and -53\/3?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 9. Let i(x) = -15*x + 1. Determine i(z(p)).\nAnswer: -75*p + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 2.027?\nAnswer: -14.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 2*s + 5*s)*(-4 - 4 + 6)*(1 - 1 - 2)*(-4*s + 3*s + 2*s)*(-2*s + 0*s + 7*s) to d*s**2 + x*s + v*s**3 + q and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 - 3*l - 3. Calculate the remainder when 230 is divided by x(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/5 - 2868*g**2 - 433092*g\/5 + 184704 = 0.\nAnswer: -32, 2, 4810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 9072 = -2*r. Is 84 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 - 4*q - 38)*(-2*q + 0*q - q) to the form i*q**2 + t*q + n and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a + 4. Let f be 1\/((-3)\/15) + -2. Let o be w(f). Suppose 4*r = o + 92. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 11*y + 8. Let d be g(-9). Differentiate -23*b**4 - 4*b**4 - d + 265*b**2 - b - 265*b**2 with respect to b.\nAnswer: -108*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/48 and 161\/156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-21)\/(-1617) + -2 + (-24)\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**4 + 908408*v**3 + 51607102884*v**2 + 3609159488480*v + 63140823054400 = 0.\nAnswer: -113516, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 - 3*a - 4. Let q(u) = 5*u**2 - 3*u - 5. Give -6*n(m) + 5*q(m).\nAnswer: m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001010002122 + -1020?\nAnswer: 10001010001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 27*i = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 746959606 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50188.9mg in nanograms?\nAnswer: 50188900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-32 + 14 + 2)) + -19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhhmghttmwtmthmgtt. What is prob of picking 1 h, 1 m, and 1 g?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 148 = -u, 2*m - 4*u - 82 + 2 = 0. Suppose 7*y = 9*y - m. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 - 3*j + 4. Let y = -397 + 408. Let f(x) = 17*x**2 - 8*x + 11. Determine y*g(k) - 4*f(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - 2*c + 7*c - 16*c**2 + 5*c to the form r*c**2 + v*c + w and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5 - 5*f + 0 + 23*f**2 - 11*f**2 - 14*f**2 + 0. Let k(q) = q**2 + 6*q + 6. Give 5*k(w) + 6*o(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-42)*(7\/18)\/(-1).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 11*x = -101, 2*x - 143 = -5*y - 55 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/371 and -3\/742?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-10))\/((-14)\/(-35)). Let y be f\/3 + (-40)\/(-24). What is the biggest value in y, -0.5, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = -4552*p + 4588*p. Calculate the smallest common multiple of p and 500.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522782600?\nAnswer: 2, 3, 5, 241, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(5*i**2 - 4*i**2 - 2*i**2 + 2*i)*(30 - 23 - 26) as u + w*i**2 + z*i and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 + 1017*g - 599. What are the prime factors of j(137)?\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 + 4*a**3 - a**3)*(89*a**2 - 1370*a + 1370*a) + a**5 - a**5 + 2*a**5.\nAnswer: -176*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/(-1)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Suppose 2*j = o - 1, i*o + 3*j - 16 + 4 = 0. Let 5*k - 2*k**2 - o*k + 4*k**2 - 6 + 2 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -4*g, 3*x = -g + 2 - 14. Suppose 0 = -2*a - 0*a + 146. Suppose -4*p + a = t, g = -4*p + 2*t + 44 + 14. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2.3 (b) -1\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - (20 + 17) - (-9 + -13).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 16 + 8)*((21*k - 16 + 16)*(1 + 0 + 0) + 7*k - 3*k - 2*k).\nAnswer: 506*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 14*d**2 - 92*d + 61. What is the smallest common multiple of -1 - -2 - (0 - 21) and l(-19)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0592? (a) 2 (b) 2\/17 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 691\nAnswer: 4\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -58.\nAnswer: 20\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let g(n) be the third derivative of n**4\/6 + 11*n**2. Let q be (-2)\/(0\/2 + -1). Let x(i) = i. Let k(r) = q*x(r) - g(r). Calculate k(j(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 23*c**5\/5 + 3*c**4\/4 - 23*c**2 - 61. What is the second derivative of v(l) wrt l?\nAnswer: 276*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137.3 rounded to the nearest 10?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 462212*g**4 + 297928*g?\nAnswer: 5546544*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(4 + 52\/8). Suppose -s = -5*t - 6. Suppose -t*w - 6*i + 143 = -2*i, 2*w - 101 = 3*i. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 39713 - 4*u**2 - 39713.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/48 and (242\/15)\/(24\/(-60) - -2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 89\/6*i**4 + 0*i**5 + 0 + 0*i**2 + 0*i**3 + 17\/10*i**6 - 251*i. What is the third derivative of w(z) wrt z?\nAnswer: 1224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -919*q**8\/336 + 1283*q**4\/24 + 488*q**2. Find the second derivative of m(z) wrt z.\nAnswer: -18380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. What are the prime factors of m\/(-1)*(11 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 34*f**2 - 656*f + 3276. Give n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 903\/84 + 10*(-7)\/(56\/8). Determine t so that 0*t + w*t**3 + 3\/4*t**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13023 + -418?\nAnswer: -13441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-2*w - 2 + 2).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 1361490*j + 83 - 173.\nAnswer: -1361490*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 58*r**2 + 114*r + 27. Calculate y(56).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(539) + sqrt(539)*1)*3 + sqrt(539) + (sqrt(539) - (-2 + sqrt(539))) + 1)**2.\nAnswer: 98*sqrt(11) + 26412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4887 - 4629. What is the greatest common factor of q and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -78. Let t be 2\/21*-3*b. Solve 0 = -4*v - 3*o + 4, 0 = -4*v - 0*o + o + t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from {q: 3, x: 4, c: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + i**3 - 2*i**2)*(4 - 2 - 1) + (2*i + 0 + 0)*(-3 - 3 + 3)*(4*i**2 - 2 + 2) + 0*i**3 - 5*i**3 - i**3.\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (13 - ((5 - (0 - (-14 - -8))) + 2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 196\/10 + 6\/15. Is 6\/2 + p + 100 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -391 - -222. Let k = j + 169.564. Round k to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*n + 52 = 0, -m + 72*n - 209 = 51*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.8 + -11.3. What is the fourth smallest value in w, 3\/2, 15, -2\/13?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:09 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 2780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/25)*i*i)\/i*i**(-7))\/(i*i\/(i\/((i**(-2)*i)\/i))*i)**9 assuming i is positive.\nAnswer: i**(-126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7058 (base 9) to base 3\nAnswer: -21001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.162762 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - o**2 + 2*o**2)*(3*o - 3*o + 2*o**2) + (4*o - 2*o**3 - 4*o)*(-1 - 2*o + 1) + 0*o**3 - 5*o**4 + 0*o**3.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:51 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10111010?\nAnswer: 10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56555 is divided by 583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(4\/35)*(x\/x**4)\/((x\/(x*(x\/(x*x\/(x**(-1\/2)*x)*x*x))\/x*x))\/x))\/((x\/(x\/x**(5\/3)*x*x*x))\/x**3)**(2\/55) assuming x is positive.\nAnswer: x**(-1433\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*m. Suppose 3 = -m*h - h, 4*r = 2*h + 2. What is the units digit of (-33)\/3*r - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/6)\/((-3)\/(-27)). Let l = -134 + 186. Let d = z + l. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, 3\/4, 0, -1\/2 in descending order.\nAnswer: 3\/4, 0, -1\/6, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 4, -1\/7, 0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-54)*(-36)\/(-6)*(-9)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 4*v - v, -4*n - 5*v + 40 = 0. Suppose -2*t + 12 = -n*t. Let z(p) = -p**2 - 2*p + 5. Determine z(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = -v. Suppose -2*o + v = r, -5*r - o - 3 = -16. Let a(b) = 2 - r - 2*b. Let y(l) = l**2. Determine a(y(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 10, m: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let w = -1 + i. Let u = w + 2. Which is the nearest to -0.1? (a) u (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1006*k + 1033. Calculate the smallest common multiple of d(1) and 276.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2250)\/(-4050)*(-8568)\/(-140)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289835668 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4195606 to the nearest integer?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 442*k - 6. Let a(h) = -2*h**2. What is d(a(n))?\nAnswer: 8*n**4 - 884*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 1.999, 0.5, 5?\nAnswer: 1.999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 264 + -262. Solve -k = -h*f + f + 3, -5*k - 12 = -4*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + ((sqrt(204) - 3*sqrt(204))*3 - sqrt(204) - sqrt(204)))\/(sqrt(12) + (sqrt(12) + sqrt(12)*-1)*1).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8066266 to the power of 1\/2, to the nearest integer?\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -3*o. Let q be 26\/o*22\/(-11). What is the highest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {z: 5, f: 2, k: 1, a: 1, w: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + l**2 + 3*l + 2. Let z be f(3). Find the common denominator of 1 + ((-875)\/(-6))\/z and -38\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 6*a + 2*a)*(365*a**4 - 688*a**4 - 678*a**4).\nAnswer: 1001*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935\/3*q**2 - 698\/3*q + 233\/3 - 4\/3*q**3 = 0 for q.\nAnswer: -233, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36356, -71741, -107126, -142511?\n\"Answer: -35385*t - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 24*c**2\/5 - 18*c\/5 - 324\/5.\nAnswer: -2*(c - 9)*(c - 6)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -31. Sort j, 2\/7, 0, 2 in descending order.\nAnswer: j, 2, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 - 1752*p**4 + 12326*p**3 - 31748*p**2 + 35304*p - 14128 = 0.\nAnswer: -883, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhpp when four letters picked without replacement from hhphhphhpph?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = j + 6, j - 1584*c + 1579*c + 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-16)\/28 - -1). Suppose -5*b + r = -14, -6*b + 5*r + n = -2*b. Suppose 7*l - 3*l = 12. Solve 4*w - 4 = 4*j + b*w, l*j = w - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 14*f**2 + 13*f - 428. Calculate x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjgdjdd. What is prob of picking 1 d and 1 j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 28*s + 31*s = 13772, s - 4 = 0. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0 - (-53 + 13 + 27).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 314983*y**2 + 0*y**3 + 314983*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:17 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from njjxucs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*-10*1\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352002 by -3451.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(((-3)\/(-4))\/(-3)). Suppose 7 + 49 = w*p. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65498 is divided by 524?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1621813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-10)*-4*7320\/(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 26721.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125366924 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m = 5. Let b(n) = -4*n + 3*n - 4*n - 6*n - m. Let h(y) be the second derivative of y**4\/6 - 83*y. Give b(h(v)).\nAnswer: -22*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j - 13*j + 42*j)*(-j**3 - 4*j**3 + 0*j**3).\nAnswer: -85*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 1 - 37\/2*h**2 - 9*h**3 - 4*h. What is the derivative of x(b) wrt b?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70.66 + -70. Let o = 0.641 - -0.019. Let n = z - o. Sort 1, 2\/19, n in descending order.\nAnswer: 1, 2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*a**5*d**2 - 3*a**5*d - 11*a**2*d**2 - 16*a*d**2 wrt a?\nAnswer: -3660*a**2*d**2 - 180*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 1:02 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k - 32. Solve -3*j = -m - 8 - 3, -5*m - k = -2*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**4\/24 + 7*f**3\/6 + 50*f**2. Let z be n(-10). Let i(w) = -w - 1. Let m(c) = 0*c - 2 - 1 - 2*c. Give z*i(d) + m(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -176*i + 25. Let c be u(3). Let n = c - -186. Is n greater than or equal to -316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 2. Let c be b(-6). Suppose -3*l - 4*d + 9 = 0, 0 = -c*l - 0*d - 4*d + 8. Is 0 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 - 23*x**3 - 15*x**3 + 31*x**3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -13*f - 4. Let u(x) = 8*x**2 - x - 1. Let w be u(-1). Let m = w + -11. Is 13 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5855 - -5890. Suppose 3*r + 2 - 8 = 0. Solve -r*w + x = 5*c + 2*w, -2*w = -10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 49*n**2 + 343*n - 52. Let o be d(8). Sort -3, -12, o, 2.\nAnswer: -12, -3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/12 + 5*l**4\/8 - 4*l**2. Let v be b(-3). Solve v*a + 7*a - 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -17*n**5\/60 - n**2. Let p(x) = -x. What is p(k(v))?\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-910)\/(-1846)) + (-2)\/14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24322, 48718, 73114, 97510, 121906, 146302?\nAnswer: 170698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -482*s**3 - 4*s**2 - 5*s. Let o(w) = 2406*w**3 + 21*w**2 + 27*w. Give -11*j(y) - 2*o(y).\nAnswer: 490*y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.023166\nAnswer: -2.023166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 36. Let n(w) = w + 14. Let d be n(t). Suppose 4*l + 5*q = 32, -5*l = q + d*q - 40. What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 20*j - 7. Let n be a(6). Solve n*k = 6*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 13*u - 5. Let q be 1\/((-3)\/9)*-1. Suppose 0*v - 27 = 2*v - q*h, -5*h + 29 = -2*v. Calculate the remainder when 12 is divided by l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(2 - 1 + 1) + 1 + 1 - 1)*(10*u**4 - 8*u**4 + 21*u**4).\nAnswer: -69*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27440, 24317, 21194?\n\"Answer: -3123*j + 30563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 2*a + 24. Let f(r) = 3*r**2 - 2*r + 30. Let w(z) = 4*f(z) - 5*j(z). Let k(l) = 2*l**2 + l. What is 6*k(o) - 7*w(o)?\nAnswer: -2*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -83, -113, -139, -161, -179?\n\"Answer: 2*r**2 - 40*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29713 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41631 is divided by 536.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 72*z**2 + 65*z - 265. Let y be m(-37). Calculate the greatest common factor of y and 4063.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210388137 less than 210388137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 68 = -0*m + 5*v, 3*m = -2*v - 165. Let c = -32 - m. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2687*x - 583*x + 18026*x.\nAnswer: 14756*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (457\/9 - (-4)\/18) + 0. Suppose t - 61 = -5*w. Let r(o) = 38*o + o**w + 9 - 78*o + 33*o. What is r(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/13 (b) -5 (c) 1\/4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-903)\/(-215) - 2\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:46 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-300)\/(-9) - 1\/3. Let q be (z\/(-22))\/((-3)\/4). Solve -q*c = -5*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54638*n**2 + 54544*n**2 - 109191*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 664, 683, 716, 769, 848, 959, 1108?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*s**3\/7 + 10134*s**2\/7 - 13476*s\/7 + 4488\/7.\nAnswer: -3*(s - 374)*(3*s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 71 + 5)*(0*x**2 + x**3 + 2 + 0*x**2).\nAnswer: 64*x**3 + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4046, 4047, 4048, 4049, 4050, 4051?\n\"Answer: f + 4045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 - -2 - -2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/147842970 and 39\/23320.\nAnswer: 591371880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let p(r) be the third derivative of -73*r**5\/30 - 42*r**2 + 2. Determine z(p(x)).\nAnswer: 146*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.658485 - -11563.968485. Let i = -11634 + a. Let t = 72 + i. Round t to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2\/n)\/n)\/n**(-8\/9)*n*n**(-12)*n*n**(11\/5)\/n*n*n)**3 assuming n is positive.\nAnswer: n**(-266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 132?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 7*k**2 - 19*k + 49. What is m(-8)?\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17953703*18.\nAnswer: -323166654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*a - 229. Suppose -8*f = -97 - 39. What is the remainder when a is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/(333\/66))\/(2\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -7*s**4\/12 - 4*s**3\/3 - s**2\/2 + 2*s\/3 + 57. Suppose h(r) = 0. What is r?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8005\/17 + 471. Put 3, 0.3, i in descending order.\nAnswer: 3, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 5*c + 3*y - 2897, 2189 = 4*c - 3*y. Suppose -12*b + c + 1321 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13348 and 20?\nAnswer: 66740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11138794.\nAnswer: 2, 5569397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(38) + sqrt(1368)*2)\/(sqrt(12)\/(1*sqrt(150))).\nAnswer: 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/2*(-1 - -1). Suppose -3*z + 33 = -b*z. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.64 + -8.53. Let s = 0.11 - j. Let l = -1.2 - -5.2. Which is the second biggest value? (a) s (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 0*u + l + 4 = 0, 0 = 3*u + 4*l + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 18 = -2*h, -2*h + 14 = -4*p + 4. Suppose -g - 2*d = 3*g - 220, 8 = -2*d. Let t = g + -31. What is the highest common divisor of t and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 646*w - 8 - 326*w - 321*w. Let f(s) = -s**2 + s - 7. Suppose -h = 6*h. Let u be f(h). Determine v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43338474*u**2 - 17282296?\nAnswer: 86676948*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5\/2*z**2 + 5\/2*z**3 + 1\/4 + 5\/4*z**4 + 5\/4*z + 1\/4*z**5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43716*r + 4390?\nAnswer: 43716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b**2 + 12*b - 36. Let f be v(-5). Let w = 448 + f. What is the second smallest value in 1\/3, -2, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.470281ml to litres.\nAnswer: 0.003470281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d - 2. Suppose -5*h + 5*m = -10, h + 9 = -3*m - 9. Is x(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/4 + 123*t**2\/2 + 3*t - 246 = 0. Calculate t.\nAnswer: -2, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -4*w**3\/3 - 3*w**2 + 1. Let q(n) = n**2 + n. Let j(v) = -6*q(v) - y(v). Determine x so that j(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 2, j: 3, y: 8}. Give prob of picking 1 j and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -62*g**2 - 388. Let b(n) = -12*n**2 - 77. Determine -11*b(s) + 2*y(s).\nAnswer: 8*s**2 + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*r - 2*w + 16, 3*r - 3 = w. Suppose x - 6 + 1 = 3*o, -25 = -r*o - 5*x. Suppose 12 = s - o. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312\/(-72) - (-3)\/9 - -15594 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(4 + 0 + 4 + -2 + sqrt(153) + sqrt(153) + -1))**2 + -5.\nAnswer: 2160*sqrt(17) + 22924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*k + 905, -5*l + 1683 = -6*k - 2935. Calculate the least common multiple of 1610 and l.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2274)\/3411)\/((-2)\/63)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-54))\/((-1)\/(-6)). Put 2\/5, 0, 1, l in descending order.\nAnswer: 1, 2\/5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 197366.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - u - 1. Calculate n(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687 - -687.1. Let w = 11\/52 - 6\/13. What is the third biggest value in w, -4, t, -1\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(52)\/sqrt(4)*3 - (-4 + sqrt(13)*3)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 526483440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1013 + 1224. Solve 5*a - h = -221 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56820 or 340921\/6?\nAnswer: 56820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-626*b + 7*b**3 + 626*b)*(-6 + 3*b + 6) to the form y*b**3 + l*b**4 + r*b + h*b**2 + p and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 1 + 3. Suppose 0 = -0*s - 4*s + 20. Suppose -s*t + 3 = -x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/12)*a**2)\/(((a**(4\/9)*a)\/a)\/((a*a\/(a\/(a*a\/(a*a\/(a**(2\/7)\/a)))))\/a)) assuming a is positive.\nAnswer: a**(191\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 - 10 - 2) + 11 + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9438 and 74294?\nAnswer: 2897466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249426016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2730 - 490. Let j be ((-16)\/10)\/(7\/(m\/(-4))). Calculate the highest common divisor of j and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 339 + -343. Let a be 2 + 26\/(-12) + 0. Sort 0.3, 2, u, a in ascending order.\nAnswer: u, a, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbm when three letters picked without replacement from lhnlbbunummn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-4)\/3*(12474\/(-144))\/(-33).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -54843466?\nAnswer: 109686932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 18.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/19 (b) -2\/5 (c) -0.5 (d) 3\/2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 108\/12 + -2*110\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 40. What is the remainder when 46 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: 2005 (base 6) to base 7\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 880 and 36410?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5384211*b**6*d - 29*b**6 - 2*b**2 + 19389*b*d - 4*d + 372 wrt b?\nAnswer: -646105320*b**3*d - 3480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 2*g = 2*r - 5*r + 3*g + 155, -5*r + 6*r - 5*g = 38 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/6 + -1)\/(8\/12). Let k be (3\/6)\/((c\/48)\/7). Let n = k - -75. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52441, -52440, -52439, -52438?\n\"Answer: z - 52442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 16*(-2)\/(-8) - -111. Solve 35 = -37*h + x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 14 - 8)*(26 - 22 - 15)*(-2*l**2 + 2*l**2 - l**2) + l**2 + l**2 - 3*l**2 + (2*l + 4*l - 3*l)*(0*l - 4*l + 3*l).\nAnswer: -279*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*f - 7*f**2 - 16*f - 20*f - 18*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:54 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6180*h**2 + 26*h - 244. Let r be c(74). What is r rounded to the nearest one hundred thousand?\nAnswer: -33800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.33 (b) -15 (c) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:04 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*j + 6*j + 6*f + 44, 32 = -3*j + 4*f for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9007 or -446?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 538091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 2. Let w be n(2). Suppose w = -5*j + 2*j + 138. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = -2*d + 4*g, 8 = 2*d + 2*g. Which is bigger: d or 13\/8?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -351, -371, -417, -501, -635, -831, -1101?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122, 201, 280?\n\"Answer: 79*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 12*b**2 + 21*b - 3. Let c be -7 - (7 + -2 + -4). Let g be u(c). What is the highest common divisor of g and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(612))**2 - sqrt(612) - (-4*sqrt(153))**2 - (3 + ((-3 + sqrt(1088) + sqrt(1088))**2 - sqrt(1088))*1).\nAnswer: -4364 + 98*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t - 0. Let m(p) = 2*p - 7. Give m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5887*c**3 - 2*c**2 + 634*c + 7 wrt c.\nAnswer: -35322*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2*o - 8. Let t(i) = 6*i**2 + 10*i - 40. What is 16*j(q) - 3*t(q)?\nAnswer: -2*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwam. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-153)\/378 + (-2)\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 + 1 + 46*d**3 - 97*d**3 + 50*d**3 + 2*d**2 - 2*d + 4 to h*d**3 + t + x*d + k*d**4 + o*d**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3 + -1?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 h when four letters picked without replacement from {h: 5, k: 8}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13211 is divided by 1466?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k - 32. Let u be h(-3). Suppose 5*q = 2*q + 2*n - 7, 0 = 4*q - 3*n + 10. What is the third biggest value in -0.2, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/4)\/((-7845)\/9414)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -79. Let u be ((-9)\/x)\/((-9)\/(-24) + 0). What is the hundreds digit of u + 505\/3 + (-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1.2, -4\/11, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (-4 + (2 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 2. Let k be z\/(0 + 2 + -1). Suppose 0 = -3*d - 12, -d = -k*b + 6*b - 304. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 71050 = 17*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -17 - -9) + 0 + 7 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83159*c**4 - 64917 wrt c?\nAnswer: 332636*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 12) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. What is the second biggest value in x, 0.01, -1\/9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9267 - 8455. Is a >= 816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4)*(-32)\/40. Let k(r) = -5 + r + r**2 + 1 + 3*r + q*r**2. Let b(n) = -4*n**2 - 5*n + 5. Calculate 4*b(u) + 5*k(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**1*m)\/(m\/((m**(-1\/9)\/m)\/m)) assuming m is positive.\nAnswer: m**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.3. Let o be 0 - -1 - 10\/9. Sort k, o, -0.4 in ascending order.\nAnswer: -0.4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5040 and 3599820.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4683.\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:22 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 s when three letters picked without replacement from {u: 3, s: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/49)\/((-4)\/(-7)). Let n = -1 + 3. Factor 1\/4*o - 1\/2 + l*o**n.\nAnswer: (o - 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 6*i**2. Let r be v(6). Suppose -2*w = -4*q + 44, r*q + q + 2*w = 11. Solve 9 = -5*l - q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6788 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47524973*p**5 + 39270086*p**2?\nAnswer: -2851498380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 3*u - 3*u + 0 - 3. Calculate q(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175509179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 + r + 2. Let b = -165 - -216. Suppose 25 = -56*p + b*p. What is d(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 23 - 7. Let c = w - 14. Let h = c - -3. Let b(u) = u**3 + 4*u**2 - u - 1. Calculate b(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 9, 1184098 in descending order.\nAnswer: 1184098, 9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(126\/8)*(-261)\/(-348)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Let x(z) = -18*z**2 + 8 + z**3 + 21*z**2 + 2*z - 2. Let o be x(-3). Solve -g - 8 = -o*g + 4*k, -g + m*k = -19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2859 times -3\nAnswer: -0.8577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100202020120110 - 11?\nAnswer: -2100202020120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 72. Let j(b) = b - 1. Let w be j(7). Suppose w = 5*d - 9. Solve 2*y = d*y - 4, -5*z + y + a = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -59. Let i(g) = 26*g**3 + 2*g**2 - 2*g + 1. What is i(o)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1140 - 1139 - 5*n - 1147 - 1145 + 5778 - 1207.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2. Let p(k) = -k**2. Let g(q) = -4*q**2 - 7. Let i(d) = g(d) - 6*p(d). Calculate i(a(x)).\nAnswer: 2*x**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 4*u**2 - 3*u - 3. Let m be s(5). Solve m = 5*z - 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 599?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727590 rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r - 15. Suppose -4*i + 16 = 5*p - 2*p, 12 = r*i + 4*p. What is the smallest common multiple of i and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k + 2 + 0*k**4 - 4\/3*k**3 + 0*k**2 + 0*k**5 + k**6. Find the third derivative of u(c) wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*m + 3 = 0, 3*c - 2*m + 3*m = 9. Let q(n) = 12*n - 1. Let j be q(c). Suppose -5 + j = 2*k. Solve -k = 5*i - 4*z, -12 = -2*i - 2*z - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32396887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.6718 * 10.8.\nAnswer: -61.25544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/225 - 22\/3 - -6. What is the nearest to p in 1.4, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 282675 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*c - 24, 4*d + 22 = -c - 17. Let v = d - -13. Sort -5, 1, v in descending order.\nAnswer: v, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -513*h**2 - 3746*h**2 + 4*h - 2*h in the form u*h + j*h**2 + d and give j.\nAnswer: -4259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3303510*a**2 + 3*a**3 + 3303510*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6028 - 6028 - 47*r + r - 1 + 1 + (-3 + 1 + 0)*(5 - 3*r - 5).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b + -29?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5489?\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + (-6*(sqrt(125) + 0) - (sqrt(125) - -3*-2*sqrt(125)))*1)**2*-6.\nAnswer: -774 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - 20\/(-15). Suppose 5*g + 2 - 12 = 0. What is the derivative of g - 2*t + z*t - t wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**(-3))\/((b**0\/b)\/b)**(2\/19) assuming b is positive.\nAnswer: b**(-91\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 289642912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 54*b**2 + 120*b.\nAnswer: -3*b*(b - 20)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9034258 micrograms?\nAnswer: 0.0000000009034258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 498 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p + 5. Let d be z(-4). Let x = d + 51. Solve 5*q - x - 9 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51430 - -24287. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1343*o**5 + 940*o**5 + 773*o**5 + (-3*o**4 - 3*o**4 + 5*o**4)*(2*o - 3*o + 3*o) + 2*o**5 - 2*o**5 - 2*o**5.\nAnswer: 3052*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9))**23\/(h**1)**(4\/7) assuming h is positive.\nAnswer: h**(-358\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -725*j**3 + 78346*j**2\/9 - 76309*j\/3 + 1610\/9 = 0?\nAnswer: 46\/6525, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = -2*z + 667. List the prime factors of z.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 556500 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 180. Let g be ((-210)\/4)\/(-3) - 3\/(-6). Calculate the greatest common factor of g and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 - -1)*1\/((-5)\/(-3)). What is the second derivative of -10 + i*s + s**2 + s**2 + 10 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (38 - (-220440)\/(-2370))?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44683 + 2859777\/64. What is the common denominator of -61\/22 and a?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:03 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47984 + 6?\nAnswer: 47990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53374 + 2?\nAnswer: -53372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 + 2628*y**3 - 898856*y**2 + 23078556*y + 23980042 = 0.\nAnswer: -1, 29, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9841 + 9844. Which is the fourth biggest value? (a) -2 (b) i (c) -1\/2 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 + 29*w**3 - 13*w**3)*(0 - 4 + 5 - 6 + 2 - 6 + (0 - 1 - 1)*(2 - 4 - 1)).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31358 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*a*g**3 + 30*a - 13*g**3 + 8*g - 1 wrt g?\nAnswer: -120*a*g - 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -34*t**3 - t**2 + 3*t - 1. Let o be s(1). Let c = 36 + o. Factor 2\/3*y**2 - 2\/3 + 2\/3*y - 2\/3*y**c.\nAnswer: -2*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136431574 a multiple of 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35209795 to three decimal places.\nAnswer: 0.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -585776*i**5 + i**2 - 433594*i.\nAnswer: -35146560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/608315 and -45\/7786432.\nAnswer: 38932160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 15*f + 32. Calculate the remainder when p(-17) is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, 1694, -1681, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/((-8)\/(-12)). Let o = a + -6. Let n(c) = -c - 5. Let i be n(o). Sort 5, -1, i.\nAnswer: -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p - 171 = 38*p. Is p bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 1352*j**7\/35 - 340*j**4\/3 - j**3\/6 - 2*j**2 + 1613*j. Find the second derivative of a(l) wrt l.\nAnswer: 97344*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 127712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4634*b*p - 10600*p wrt b?\nAnswer: -4634*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + 2*p - 3*p)*(37 + 35348*p - 6073*p - 379*p - 37) in the form b*p**2 + j*p + h and give b.\nAnswer: 86688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10. Suppose -2*g + l = 6*l + 20, -5*g = -4*l - 16. Is 10 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1022370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49549.\nAnswer: 49549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.3, -1\/132554, -0.5, -1, -0.12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/20 + -7\/5. Let u = -11\/5 - 3\/10. Suppose 4*k + 5*p = -9, -3*k + 0*p + 4*p = -32. Which is the nearest to i? (a) u (b) k (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8148793.\nAnswer: 8148793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*w = 1 - 16, -5*q + w = -5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 911872019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*l - 7*u + 36, l = 5*u. Is 20 a factor of 50\/(-3)*(2 - 56\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -60, -69, -76, -81, -84, -85?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*w = 179*w + 116. Suppose -2*s - 99 = s. Let h be (-4)\/(-12) - (-95)\/s. Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 2501?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/18 + (-420)\/(-189). Suppose -2*k + 8*l + 12 = 4*l, w*l = 2. What is the remainder when 23 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37537763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 greater than 1\/499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/72*(-4)\/(-2)*4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 130*l**3 + 6*l**2 + 18*l + 34. Let z be t(14). Let j = z - 788182. What is j rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(704) + 0 + -2) - -5*(0 + sqrt(704))*1) + -3.\nAnswer: -12 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*t - 4*f, -2 = -t + 3*f - 15. Let i be (3\/4)\/(15\/60) + -217. Let a = -185 - i. Solve 3*b - a = -5*o, 4*o - 5 = 3*b + t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wke when three letters picked without replacement from {e: 2, k: 3, j: 2, w: 4, r: 3, v: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2052 + -8275\/4. Let n = -8708\/19 + 62103\/95. Let l = 193 - n. Find the common denominator of c and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:44 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.99 - -44. Put 1, -5, l in decreasing order.\nAnswer: 1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 735\/1952 + -2\/61. What is the common denominator of t and -51\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -4.9. Which is the third smallest value? (a) f (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7175.9754 minutes?\nAnswer: 4.98331625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216629623 to the power of 1\/2, to the nearest integer?\nAnswer: 34880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(2\/(-6))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1801.6 and -311?\nAnswer: 560297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Let g be 8*(-3)\/(-24)*a. Suppose -g*v - 2 = 0, -2*v + 19 - 2 = x. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, -2, 0 in decreasing order.\nAnswer: 2, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) -3\/2 (c) -3\/10874\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 + 9.7. Let o = -6 + n. Let s = -2.1 - -2.3. Which is the nearest to o? (a) 3 (b) s (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.08 + -4. Let g = 68.5 - 68. Sort l, -10, g in ascending order.\nAnswer: -10, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 17*m\/5 - 9\/5.\nAnswer: (m + 9)*(2*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*b - 92*b + 27*b + 24 + 30*b.\nAnswer: -114*b + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -790 + 27850?\nAnswer: 270b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/120 + 11*k**5\/30 + k**4\/2 - 19*k**3\/6 + 84*k**2. Let m be d(23). Which is smaller: -270 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49045?\nAnswer: 5, 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 2:32 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384738 is divided by 11656?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14933 - 10264. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (455\/70)\/((-1287)\/(-1980)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30811777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 2*y. Let n be (-14 + y)*(-1)\/3. Does 4 = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 22*z**2 + z - 14. Calculate u(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18982692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 464919019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2286 and -1.087.\nAnswer: -2287.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1117*b**3*z**2 + 269*b**3*z + 2829318*z**2 wrt b?\nAnswer: -3351*b**2*z**2 + 807*b**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384362043?\nAnswer: 1384362043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 99092.38 millimeters?\nAnswer: 99092380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*m - 34 = 0, 2*m + m = 5*k - 34. Let w = -81214 - -81902. Calculate the highest common divisor of w and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 331\/(-2))\/((-3)\/(-150)). What are the prime factors of k\/75 + (-2)\/3?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2138 + 2147. Solve -2*a + a - 5*d - g = 0, a + d + 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 16 = 5*s, -3*s - 6 = -2*s + 5*h. What is the lowest common multiple of 2040 and s?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(2 + 68*s - 106*s - 100*s) in the form m*s + y and give m.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 59\/105)\/((-116)\/395). Let z = 2\/609 - a. Find the common denominator of 71\/24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*t + 251*t + 3 = v, 0 = -3*v - 2*t + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361403.7 - -116935.3. Let p = 478328.399902 - q. Let m = p + 10.6. Round m to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4645005 kilograms?\nAnswer: 0.0004645005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most -107\/794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -44?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b. Let p(z) = -7*z - 3*z - z + 7*z**2 + 23*z**2 + 0*z. Determine p(l(u)).\nAnswer: 480*u**2 + 44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 623813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20626351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*37.67\nAnswer: -22.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32527*c = -65070*c + 32519*c + 960 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -106 and -17.589.\nAnswer: -123.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 171, 279, 419, 585, 771?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -131, -9, -13\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 204524, 204531, 204538?\n\"Answer: 7*z + 204517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*c = -1 + 38, -3*b = c + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17205425953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 306, 655, 1016, 1395, 1798, 2231, 2700?\n\"Answer: y**3 + 342*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10886 = 24*b - 64334. Round b to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24420695 divided by -24420695.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6005 + 853 = -127*z for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.0963?\nAnswer: 0.3852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5302364 divided by -86924.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_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: Calculate the remainder when 3641 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 3*f**2 + 2*f - 1. Let c(x) = 0*x + 8 + x + x - 4*x. Let v be c(6). Let g be q(v). Solve 5*l - 3*i = l - 15, -4*l - 5*i = g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 31000?\nAnswer: -30333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707 + 7*z**2 - 355 + 4*z**2 - 352.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 - ((-6)\/(-4))\/3. Which is greater: -36 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3653847 or -69423090\/19?\nAnswer: -3653847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 447129 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -49, -148, -303, -526, -829?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v + 13. Calculate q(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 3, i: 1, r: 1}. What is prob of sequence ee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(459)*-2)\/(-2*sqrt(9)*5))\/((sqrt(384) + sqrt(384)*1)\/(sqrt(8) + (-1*sqrt(1152) - sqrt(1152)))).\nAnswer: -69*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735 = -40*l + 61 - 116. Let y(j) be the first derivative of 24\/5*j + l + 4\/5*j**2 + 2\/45*j**3. Factor y(p).\nAnswer: 2*(p + 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1277896*k - 1096745 with respect to k.\nAnswer: -1277896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.077 - -20.077. What is the closest to k in 1\/3, -2, -2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 447 - 444. Let n(d) be the first derivative of -6*d - 2\/3*d**q + 0*d**2 - 1. What is the derivative of n(p) wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) 0.2 (c) -31 (d) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (191*n + 136*n**2 - 191*n)*(4 - 4 + n)*(-31*n - 537 + 537) to the form i + t*n**4 + h*n**3 + k*n + q*n**2 and give t.\nAnswer: -4216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 167*h - 91*h - 6*h**3 - 70*h + 4*h**3 - 14 + 2*h**2. What is f(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -575130*v - 1725360. What is k(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21190 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-3)\/6*-1). Let x(y) = 4*y - h*y + 10 - 10. Let z(n) = -4*n. Give x(z(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = -11. Let n = -1 + 6. Let i(s) = -2*s + 4. Let g(c) = -2*c + 3. Calculate f*i(q) + n*g(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 988851278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000101584047 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 3*v**2 - 8*v + 2. Let k(u) = u**3 - 2*u**2 - 4*u + 1. Calculate 5*k(q) - 3*t(q).\nAnswer: 2*q**3 - q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.41 - 3. What is the nearest to 0 in -2\/5, n, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 10*o - 5, -103*s - 5*o - 8 = -104*s. Factor 128*y - 1024\/3 - 16*y**2 + 2\/3*y**s.\nAnswer: 2*(y - 8)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67878604?\nAnswer: 2, 61, 278191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-239)\/((-2151)\/(-54)))\/318?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1453516529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 15*o + 80 + 59. Solve -5*b - 13 = o*i + 8, -2*i + 12 = -b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 1:50 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9281100 to the nearest 100000.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -3 + sqrt(192)*1)**2 + sqrt(192) - (sqrt(192)*2 + 3).\nAnswer: -104*sqrt(3) + 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/3 + 78113*j\/3 - 14338936\/3 = 0.\nAnswer: 184, 77929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -2 + (42 - 60) + 2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 22*l = 16. Solve -6 - l*w**3 + 9*w**2 + 16 + 43*w + 2*w**2 = 0.\nAnswer: -2, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -50)\/(2*(-2)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2299 - 1885. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307687758.\nAnswer: 2, 13, 127, 396029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 30*l + 38*l - 53*l. Let h(a) = 5*a. Calculate 7*h(v) - 2*i(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2, 0 = -n + 6*h - h - 123. Let w = -101 - n. Solve -3*q + w = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12328 + 66*k - 12328)*(9 - 9 + 1) + (-2*k - 2 + 2)*((-1 + 2 - 3)*(3 + 0 - 2) + 12 - 6 - 2 - 4 + 0 + 3 + 1 - 1 + 1).\nAnswer: 62*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30 - -3*2\/(-3). Suppose -f = 2*f - 5*n - 13, 4*n = -2*f - i. Is -4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3630, -3628, -3626, -3624, -3622?\nAnswer: -3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*273\/(-1680)*(-12)\/2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 16 = 0, 0 = 4*z + k - 1831 + 949 + 898 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -435176*l*o**3*y + 21*l*o**3 + l*o**2*y - 50*l*o + 2*l + o**2 - 37*o with respect to y.\nAnswer: -435176*l*o**3 + l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3687, -7785, -12457, -17703?\n\"Answer: -287*h**2 - 3237*h - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96042 - -20.3941104.\nAnswer: -96021.6058896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 520252860 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/26 (b) 57 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) -2 (c) -5 (d) 0.527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 23. Put q, -5, 3 in decreasing order.\nAnswer: q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*w - 390*w = 0. Solve -3*j - 1 = -2*j - 3*r, 5*j + 5*r + 5 = w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h + 1. Let x(n) be the third derivative of -n**6\/120 + n**5\/5 - 5*n**4\/8 - n**3\/3 + 3*n**2 - 4*n. Let z(t) = 6*d(t) + x(t). Factor z(b).\nAnswer: -(b - 4)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32503172501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddydbbddyyddd. Give prob of sequence dyy.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 + 2714*z**2 + 290320*z wrt z.\nAnswer: -12*z + 5428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-45)\/(-20)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oszso. Give prob of sequence zzzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - q - 7 = 3*o, -o - 2*q + 8 = 0. What is the remainder when 4 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*k + 1663, -2*v + 857 = k + 28. What are the prime factors of v?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 12*p + 13*p + 3*p + 0*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-84)*272\/24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (sqrt(1377) + 1*sqrt(1377) + -2 + sqrt(1377) + (0 + sqrt(1377))*-6 + sqrt(1377))*2)**2.\nAnswer: 288*sqrt(17) + 22044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548016424?\nAnswer: 2, 43, 1593071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167 divided by 35.\nAnswer: 1167\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -5, -2, 3, 31, -9?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*271270.\nAnswer: 813810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 996, 1957, 2918, 3879?\nAnswer: 4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1174*x + 23 - 23 + 1177*x + 1191*x - 3632*x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2328*v**3\/5 + 1413093*v**2\/5 - 1821*v\/5 = 0.\nAnswer: -607, 0, 1\/776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**2*z - 2*f**2 - 289*f*z - 4551*f + 183*z + 462784 wrt f.\nAnswer: 10*f*z - 4*f - 289*z - 4551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l - 7. Let y be n(2). Let b = y + 24. Let w(g) = 2*g + 3. What is the remainder when w(5) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -100*m**2 + 4. Let b be h(2). Let i be (-2)\/(-11) - ((-556)\/b + -1). Let w = 0.99 - 1. Is i at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = a + 11, 5*a = 239962*f - 239958*f + 29 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 11120013210?\nAnswer: 11120013321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-765968)\/(-88) - 5 - 8\/44.\nAnswer: 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n)**(4\/19)*n\/n**4*n*n**(6\/7) assuming n is positive.\nAnswer: n**(-236\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -17*w**2 - 29014*w - 41847251. Let y(r) = -185*r**2 - 319140*r - 460319760. Let i(j) = 65*p(j) - 6*y(j). Factor i(h).\nAnswer: 5*(h + 2893)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, r: 5}. Give prob of sequence vvvr.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1055\/76271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 - (0 + -1) - -1. Suppose y*h = -u + 325, -2*h + u = 113 - 428. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 13 (c) -43 (d) -0.3 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 6*f - 4. Let o(g) = -10*g**f + g - g. Let u(t) = -68*t**2 + 96*t**2 - 29*t**2. Give u(o(z)).\nAnswer: -100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*h - h + 73542, -5*v + 91908 = 2*h. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4968\/(-5796) + (-4)\/(-70)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 9 - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1870)\/51*12\/10. Let b = 52 + q. Let p be (-9)\/b*(-52)\/(-195). Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26518?\nAnswer: 2, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (8 - -1)) + 10 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910.06964ns in days?\nAnswer: 0.0000000000221072875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4 - 11*p + 0 - 19. Let h be d(-12). Suppose 0*i = -3*i + h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 15, r: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 495930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5119 divide 983549303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 1) + 110\/(-38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*i = m + 10, -9 = -4*m - i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 9. Suppose -t*g = -4 - 5, 19 = 2*z + 3*g. Let q(w) = w. Give q(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/17)\/s)\/s)\/(s\/(s*s\/s**(1\/4))) assuming s is positive.\nAnswer: s**(-93\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1514 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - -4b6?\nAnswer: 48d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -355.22 + 355. What is the nearest to 0.1 in y, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11999 = -20*t + 12399 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9581606 - 4?\nAnswer: 9581602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k + 558 = 218 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*m - 47739 = -4*m, 5*m - 10 = 0. Suppose 0 = 16*f - 23531 + b. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = -5*q, 3*q - 5 = -2*z + 4. Suppose z*i + 9 = 3*i. Suppose 2*x + 0*w - 18 = 2*w, 13 = 2*x + i*w. Let d(j) = -j**2 + 8*j - 6. What is d(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 23. What is the remainder when 107 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**3 - 8*c. Let k(p) = 8*p**3 - 9*p. Calculate -6*k(y) + 7*q(y).\nAnswer: y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 1.5. Let r = 3.4 + k. Sort 2, 3, r in decreasing order.\nAnswer: r, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 38.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*m + 293342271*k**2 - 57799297*m with respect to m.\nAnswer: k**2 - 57799297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260.24313 days to weeks.\nAnswer: 37.17759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**5\/20 + f**3\/6 + 15*f**2\/2 + 21*f. Suppose -2*s = -s. Does 12 divide m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/6 - 6*i**3 - 14*i**2 - 3*i + 5. Calculate the least common multiple of u(-16) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -2 (c) 3.34 (d) 3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(-2*sqrt(9)) + sqrt(104)\/sqrt(2))*-5)**2.\nAnswer: 2925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66640746 rounded to 2 dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 50*z**2 - 107*z - 100. Let k be b(-52). Suppose k*w = 1793 + 55. Calculate the smallest common multiple of 9 and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168726 is divided by 53?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 1 + 23 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3956 by 4.\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, j: 1}. Give prob of sequence pj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4565*i**4 - 2*i**2 + 1711*i?\nAnswer: -109560*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*q - 3. Let m = -17 + 19. Suppose -4*p + m - 27 = a, 3*p = -5*a - 40. Are q and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*q - 132 + 126, -4*q + 4*t = -8. Solve q = -7*m + 12*m + 3*s + 32, -m = -s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i - 73. Let q be x(-7). Let d be ((-1)\/1)\/3 - q\/72. Sort d, -4, -5, 4.\nAnswer: -5, -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgb when three letters picked without replacement from bugkgqg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10204141 (base 5) in base 10?\nAnswer: 84921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from err. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187 a factor of 28699909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 50. Calculate the remainder when 99 is divided by j(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*i - 6, -2*i + t + 2 = -3*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -341900 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 3894705.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 0.1. Let t = r + 0.19. Which is the closest to t? (a) 0.4 (b) 4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.3438ml in litres?\nAnswer: 0.0543438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = -5*j. Let d(z) = 0*z - z - z + 1 - j. Let y be d(-2). Solve 4*r - 16 = -2*l, -2*l - y + 5 = -2*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9106609 - 3733712767\/410. Let k = s + 1\/205. Find the common denominator of k and 73\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**4 + 97*s**3 - 862*s**2 + 5*s - 5. Let l(w) = w**4 + 98*w**3 - 863*w**2 + 4*w - 4. Let c(v) = -5*l(v) + 4*x(v). Determine a, given that c(a) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1223 (base 4) to base 12\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 4*z**2 - 4*z - 2. Let t = -4336 + 4331. Calculate g(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-10)*((-5)\/64)\/(55\/(-22)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 525*x**2 - 4*x - 7. Suppose -4*z - 6*u + u + 16 = 0, -2*u = 0. Let k be (((-1)\/2)\/(-1))\/((-1)\/z). Is f(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.06, 0.02, -4\/3, 45?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**19)\/((s\/s**(-2\/11))\/s)*(s**(-2\/21))**(-7) assuming s is positive.\nAnswer: s**(-578\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 11*y - 10. Let j(c) = 2*c**2 - 23*c + 21. Let h(i) = -13*g(i) - 6*j(i). Suppose 8*m + 55 - 95 = 0. Suppose 7 = m*o - 8. What is h(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86, -170, -240, -290, -314, -306, -260?\n\"Answer: y**3 + y**2 - 94*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-10) + (-13 - (-4 + -12)). Let f(b) be the first derivative of -4\/15*b**3 - a*b**2 + 4\/5*b + 3\/10*b**4 - 3. Find x such that f(x) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - n = -2*x, -2*x - 2 = 4*n. Let u be -2*(-4)\/(-4) + 7. Put x, u, -1 in ascending order.\nAnswer: -1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from axaxaaax.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -10. Let h = -5 + a. Solve i + h*i - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718247 = 6*s - 386023. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 2, -213, 3 in ascending order.\nAnswer: -213, -105, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1123*q**6 - 17874*q**2.\nAnswer: -134760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/302?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -c - 309 + 292, 3*c = -4*x + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000675500217 rounded to 6 decimal places?\nAnswer: -0.000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.183755 minutes in hours?\nAnswer: 0.26972925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -79, -143, -223, -319, -431, -559?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045693 rounded to 5 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 35, 1, 3 in ascending order.\nAnswer: -4, 1, 2, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.19, 11, -1\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2072 + -2072. Solve r = -o - 4*o - 5, -d + 3*o + 8 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9027366298 rounded to the nearest 100000?\nAnswer: -9027400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/(3\/((-33)\/1)). Let x = w - 7051\/8. Find the common denominator of -75\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*p - 23. Let m = 59 - 47. Calculate the remainder when p is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2025338*d*j + 1992408*j wrt d.\nAnswer: -2025338*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334958.\nAnswer: 2, 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 2.9. Let n = 2.98063737 - -0.01936723. Let k = u + n. Round k to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-498)\/(-415)*((-360)\/(-2016))\/(1\/(-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7028 - 32433 = -5*z + 23694. Does 92 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/5, -1\/53, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r - 5*v - 10, -4*v - 5 = r. Let f = -3 + r. Suppose -3*a - 2 = -5*a, -5*c - 4*a = -484. What is the greatest common factor of f and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*x + 1 - 1.\nAnswer: 111*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -117 + 67 + -16 + 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 820 and 105706610.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/7 - ((-198)\/(-42) + -5). List the prime factors of (-7 - j)\/((-4)\/132).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 69*a**2 + 69*a**2 + 4*a**3 - a.\nAnswer: 4*a**3 - a - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.53 - -2.83. Which is the nearest to o? (a) 0 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-4) + 4\/2. Let a = -20 + 18. Let w be -1*a*(3 - 2). Solve -3*m - 23 = -2*n, -x = -3*n + w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 67, -933, 4, 2, -5 in decreasing order.\nAnswer: 67, 4, 2, 1, -5, -933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/6 - 472*y**3\/3 + 471*y**2 + y - 51. Factor u(h).\nAnswer: 2*(h - 471)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 2. Let h = 1.23784848 + -11.23784834. Let u = q + h. What is u rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3 = 4*t, 110*l - 2*t = 106*l. Which is the closest to l? (a) -18 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 8:45 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 206749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2548*c + 2416. List the prime factors of k(16).\nAnswer: 2, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-2344)\/(-112) - 44\/(-77))*-2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12783 - 4628. Suppose -8*p + p = -r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 30 + 3*r)*(3 + 2 - 4)*(1 - 2 - 2 + (4 - 2 - 3)*(-3 + 1 + 1) + 0 + 0 + 6) as z + m*r and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1080)\/180 - (-11 - -1). Suppose 0 + 30*f**3 - 39\/2*f**2 + 3*f - 27\/2*f**j = 0. Calculate f.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(10\/(-11)*155\/1240).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526865.\nAnswer: 5, 211, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2688\/35*4\/(-3). Let k = m + 7073\/70. Let j = -2646 - -10509\/4. Find the common denominator of k and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -297*m + 91*m + 94*m - 2*m**3 + 101*m - m**3. Let a(i) = -13*i**3 - 45*i. Determine -2*a(c) + 9*p(c).\nAnswer: -c**3 - 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = p. Let k = p - -32. Calculate the remainder when 98 is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -23*q**2 - q - 30. Let a(b) = 13*b**2 + 18. Let f(m) = 5*a(m) + 3*h(m). Give f(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 3*u + 43, 5*d + 39*u + 60 = 37*u for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - o + 8. Calculate g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 + -1494. What is the fourth biggest value in 0.4, -1\/4, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k**3 - 4*k + 1. Let u(g) = -26*g**3 - 11*g + 3. Let s(i) = 2*i**2 + 20*i - 108. Let l be s(-14). Give l*u(m) - 11*d(m).\nAnswer: -5*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66760 + 15385. Let r = 51447.059 + q. Let j = 72 - r. What is j rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = 2*q. Let l be q\/380*10\/(-4). Let u = 23 - 205\/9. Which is the closest to 0? (a) l (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2786153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:39 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1206.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265480573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1136933 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-1) + (-3 - -1). Solve w*m + 2 = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*t*v**4 + 13*t*v**3 - 2*t*v**2 - 6*t - 1 wrt v.\nAnswer: -24*t*v**3 + 39*t*v**2 - 4*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 546 = -70*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61856479.\nAnswer: 61856479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/11 + 6\/33. Suppose 21 = v*l - 55. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -75*(-4)\/6 - 0. Suppose -5*t = -2*r + 5*r - n, 30 = 3*t - 4*r. What is the remainder when 39 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = 2*j + 3*c, -5*c + 10 = -j. Let z be 1\/1*(-13 - 0). Let w = z + 28. Solve 5*n = -j*n - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 l when four letters picked without replacement from {z: 1, e: 1, l: 2, c: 3, n: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463 + 2293\/5. Let a = t - -71\/15. Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*l - 1096*l - 32 = -549*l + 79 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k**7 + 40*k**2 + 0*k**3 + 0*k**4 + 0*k**6 + 0 + 0*k + 1\/20*k**5 - 1\/56*k**8. Find the third derivative of u(l) wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23228 + -13153. Is x a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -37.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (52\/15)\/(2 - 340\/15). Let w = j - 1\/31. Let p = -36 + 42. Which is the second smallest value? (a) p (b) -3\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 2*x**2 - 2*x + 2. Let d be o(3). Suppose -5*y = -3*r + 6*r - 121, 5*r = d*y - 105. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6385469 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 9. Suppose n*g - 44 = -2. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(((((r*(r\/r**(2\/5)*r)\/r)\/r)\/r)\/r*r)\/r)*r*r)**(-1\/30)*(r*(r*r**5)\/r)\/(r\/r**(-1\/2)))**(6\/23))**(-16) assuming r is positive.\nAnswer: r**(-10448\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -24*h**2 - 202*h - 347. Determine z(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (82 + 319 + 927)*(2 + 1 - 1)*(3*t + 7 - 4*t - t + t**2) in the form p*t**2 + y*t + n and give y.\nAnswer: -5312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 3, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 1203*l - 1207*l - 20, -10*l = 5*x + 50 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 20*p**2 - 18*p + 69. Does 2 divide q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)\/w)\/w**(3\/8)*(w*w**(-1))**(-3\/8) assuming w is positive.\nAnswer: w**(-69\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5946, 11939, 17942, 23961, 30002, 36071?\n\"Answer: j**3 - j**2 + 5989*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:22 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/31 or -23?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*-1*-6.\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3205300 and 73\/2.\nAnswer: 3205300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6*y + 15. Let i be o(-4). Let d be ((-6)\/5)\/(i\/(-70)). Solve 5*w + 2*k + d = -17, 0 = -w + 2*k - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.8785 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316250 - 5*j**2 - 316789 + 633039.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456621 is divided by 2842?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 198. Solve -4*k + 0*m + 20 = h*m, -5*m = -k - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n. Let r(j) be the second derivative of 0 + 0*j**2 + 0*j**3 - 18*j + 7\/12*j**4. Determine v(r(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15294.040026 - 15294.2. Let l = -2 - -2.16. Let b = l + x. What is b rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/3467080 and -59\/14.\nAnswer: 24269560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2399*c**2 + 2399*c**2 - 31*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 13 = 3*d, 26 = -5*d - 26*w + 25*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18082 - 18081.5852. What is d rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 61761766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14*((-90)\/12 - -8). Let b(m) = 10*m**3 - m**2 - 6. Let t(j) = -3*j**3 + 2. What is f*t(a) + 2*b(a)?\nAnswer: -a**3 - 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + z. Let r(g) = g - 51298*g**2 + 13798*g**2 - 2 - 4*g - g. Let m(x) = -r(x) - v(x). Let o be m(-2). Round o to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*n = -15*n + 3996. Calculate the greatest common divisor of n and 414.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 2*z + 5*s, 148*z + 2*s + 47 = 145*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.9, -0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2 + 3*b. Let x be p(-1). Suppose 6*g - 29 = -4*z + 3*g, 2*z + g - x = 0. Solve -3*m + 3*j - 3 = 0, 2*j = -2*j + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 2*k - 5. Let u be y(4). Let f(q) be the first derivative of -q**4 - 2*q**u + 5*q + 2*q**3 + 1 - 3. Differentiate f(h) with respect to h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865365719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 39*k + 70. Let g be x(-18). Solve -2*m - 2*m = -g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 + 160*y + 435 = 0. Calculate y.\nAnswer: -29, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 + 0 + -3 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382748 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2547 + 10954. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q = a - 10, 4*a - 16 = 0. What is the third derivative of 57*v**q - 69*v**2 + 39*v**3 - 31*v**3 + 119*v**2 wrt v?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*f + 16, -3*f - 22*t = -26*t - 4. Solve 15*p - 19*p + 20 = 0, -5*p + 37 = f*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222210112 - -1200?\nAnswer: -222201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9))**(-13)*(v\/(v\/(v*v\/((v\/(v**(-12)*v))\/v))*v))\/(v\/(v*v**24)*v) assuming v is positive.\nAnswer: v**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15264.654 + -15263. What is y rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 19*p**2 + 92*p + 578. Determine n(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2862, -5746, -8630, -11514?\nAnswer: -14398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -261 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**11)**46 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + (-85)\/3. Suppose 0 = -3*f - 3, -p = -241*f + 244*f - 65. Let i = p - u. List the prime factors of i.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 + 85*s - 190 = 0. Calculate s.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhw when three letters picked without replacement from {h: 7, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308011414?\nAnswer: 2, 43, 38465249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.11079 (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92312257457 - 12.\nAnswer: -92312257469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.4, -12, -5 in decreasing order.\nAnswer: 0.4, -1\/2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46363612 - -0.4.\nAnswer: 46363612.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5520424127 and 3797.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4353816?\nAnswer: 2, 3, 181409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11792104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 57 and -0.03089441762.\nAnswer: 56.96910558238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {d: 3, r: 4, y: 6, f: 4}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5841 and -133\/14256.\nAnswer: 841104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9150 a factor of 1090817250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcppcpccc. Give prob of picking 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*o + 63 + 11, -2*s + o = -42. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -539.5 times -11\nAnswer: 5934.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/9 + 272*j**3\/9 - 274*j**2\/9.\nAnswer: 2*j**2*(j - 1)*(j + 137)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 + 46*y - 48 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 + 4. Let i be -113 + (3 - (-9)\/h)*-2. Let r = -106 - i. Sort 0, 3, -4, r in descending order.\nAnswer: r, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 163828.323.\nAnswer: 163827.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/12280 and 111\/27016.\nAnswer: 135080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12651395.4 seconds to weeks.\nAnswer: 20.9183125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsej when four letters picked without replacement from {s: 1, n: 4, e: 1, j: 4, v: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -504664.\nAnswer: -1513992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (36\/42)\/(24\/896*-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -5. Let f = 4 + -3. Calculate the remainder when 2\/(4\/42)*f is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.6 times 3.2558?\nAnswer: 871.25208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p + 7. Let q be u(0). Find the second derivative of -2*r + 0*r**4 - q*r**4 - r wrt r.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/(((-30)\/(-8))\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110757518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 0*p**2 + p**2 + 3*p**2 - 10 to u + o*p**2 + f*p and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*-1*3 + 1*sqrt(147)*4 + (sqrt(3) + sqrt(33)\/(sqrt(11) - (sqrt(176) + sqrt(11) - sqrt(11))) - sqrt(12)\/sqrt(16)).\nAnswer: 43*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**4 - 25*f**3 - 766*f wrt f.\nAnswer: 180*f**2 - 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -0.06. Let r = -0.05 - q. Which is smaller: r or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 7. Let o(w) = -1. Let p be 6\/4*4\/(-6). Let t(f) = p*v(f) - 6*o(f). Let u(j) = -8*j**2 - 335*j - 2. Let k be u(0). Determine t(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*n - n + 6 = 0, -5*q - 6*n + 33 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54.14788 + 0.14788. What is the biggest value in -5\/2, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.081 and -802.4104158?\nAnswer: 802.4914158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/11)*m*m\/(m*m*m\/(m\/(m**(-2)\/m)))*m\/((m\/(m*m**(2\/15)))\/m)*m**(6\/11) assuming m is positive.\nAnswer: m**(967\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 75416051755?\nAnswer: 75416051754.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 4312.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*k**5 - 333*k**3 - 471082*k**2 wrt k.\nAnswer: 26160*k**2 - 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 105, 266, 531, 924, 1469, 2190?\n\"Answer: 4*y**3 + 16*y**2 + 5*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/28)\/(210\/2940)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122007 to the power of 1\/2, to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -3. Suppose -3*f = -2*b - n - 3, 4*f - 12 = 3*b. List the prime factors of 0 - (b + -1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 16. Suppose -2*u - 16 = -4*l, 4*l + 4 = -3*u + b*l. Suppose -z = -5*a - 0 + 18, 3 = u*a + z. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 9*f - 3*f + 91. Calculate the least common multiple of 375 and f.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -15*k**5 - 31450*k**4 + 5196105*k**3 - 196771740*k**2 - 800137600*k + 288384000 = 0.\nAnswer: -2253, -4, 1\/3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -816 + 113*l**5 + 69*l**2 + 816 - 14*l**2 wrt l?\nAnswer: 6780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, i: 5}. Give prob of sequence ppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8662.996t to kilograms.\nAnswer: 8662996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z + 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14332*p - 415620. Calculate u(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-16))\/(1\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 23*y**2 - 15*y + 48. Give o(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17541 (base 9) in base 3?\nAnswer: -121121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.03722l in millilitres?\nAnswer: 14037.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/((-5)\/(-15)). Suppose 3 = -x + 5*j, -2 = -3*x - v*j + 6*j. Suppose x*r = 6*r - 84. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12\/(-36))\/(1\/(-69)) is divided by 9\/(-2 + 11\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128) + -6*(2*sqrt(128))**2)*3.\nAnswer: -55296 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0*k + 0*k**5 + 0 - 1\/189*k**7 - 1\/216*k**8 + 1\/270*k**6 + 0*k**4 + 0*k**3 - 7*k**2. Factor q(b).\nAnswer: -2*b**3*(b + 1)*(7*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(3\/9)\/1. Let s be (w - 132\/(-28)) + 4\/14. Solve 0 = -s*k + 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:36 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 7998.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28189)\/(-20135))\/((-77)\/(-160))?\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 + 111. Suppose 4*p = -j*m - 214, 5*p + 61 = -m - 212. Let b = 59 + p. Calculate the lowest common multiple of b and 95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j. Suppose 4*o - 33 = -5*x, 0 = -5*o - 3*x + 36 - 11. Let h(b) = -b - 7*b - 3*b**o + 8*b. Give c(h(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -17, -34\/87, 4, 1?\nAnswer: -34\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -2, -1\/2, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-744*a + 2811*a - 769*a)*(3 - 3 - 2*a) + 0*a**2 + a**2 - 2*a**2.\nAnswer: -2597*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28152751351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times -43.3931?\nAnswer: 134.51861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-33)*(-3)\/3*-1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:53 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 418955460 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2081190 is divided by 693441?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 11. Let u be j(3). Let n(w) = 3*w - 4*w + 3 - 5. Give n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4704 and 107624384.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/3 + 679*p\/3 - 88592\/3 = 0?\nAnswer: -791, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 5*f**2 - 2. Let y(m) be the first derivative of -m**3\/3 - m + 2208. Calculate s(j) - y(j).\nAnswer: -j**3 - 4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(2\/19)))*i)**(-4\/27))**(1\/47) assuming i is positive.\nAnswer: i**(-160\/24111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4 - 385*l**3 - 6665*l**2 + 31065*l + 143190 = 0. What is l?\nAnswer: -43, -37, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.015 - 0.485. Let i = g + 0.46999927. What is i rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 + (450\/6)\/5. Let m be 36\/l - ((-1)\/1 + 3). Factor 2\/5*d**3 + m*d**2 - 2\/5*d - 2\/5*d**4 + 0.\nAnswer: -2*d*(d - 1)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 - 2*a)*(-6*a + 3*a - 2*a - 10 + 4*a + 10 + (-1 - 2 + 5)*(0*a + 3*a - a) + 2*a - 3*a + 3*a).\nAnswer: -10*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 - 111*a**4 + 234*a**3 - 6*a**2 - 231*a + 117.\nAnswer: -3*(a - 1)**3*(a + 1)*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -2\/1504525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**2\/2 + 8. Let u(j) = -40*j**2. What is u(b(r))?\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2357801 - 4548733. Let x = b + 3104412. Suppose 0 = 8*q + x - 113480. Round q to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/1550719 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -321972 + 322051. Let l = -5 + 7. Sort l, t, 1, -5.\nAnswer: -5, 1, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((-7 - 0) + (-80 - -35) + 18).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 270558 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 342*h**2 + 9*h**4 - h - 243*h**2 - 108*h**2 - 412 wrt h?\nAnswer: 36*h**3 - 18*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789776520 a multiple of 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 0 - (-1 + 4)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -1458\nAnswer: -55\/1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -189114, -193235, -197356, -201477, -205598?\n\"Answer: -4121*z - 184993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, l: 1, h: 1, i: 2}. What is prob of picking 1 i and 1 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = 8. What is the first derivative of -3 + 3 + 2 - 4*b**4 + u wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*y**4 + 20*y**4 + 23*y**4)*(-8 + 1 - 1).\nAnswer: -728*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10*1*7\/(-14). Put 2\/9, 4\/9, j in descending order.\nAnswer: 4\/9, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 3*w + 269*x - 245*x, -2*x = -2*w - 6*x - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04297 * -0.04\nAnswer: -0.0017188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 412323 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1454 (base 7) to base 8\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f + f**2 + f - 6*f - 2*f to n*f + x + g*f**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25475\/1986 + 2\/331. Calculate the common denominator of 67\/32 and w.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(468) + 1)*-3 - sqrt(468))**2 + 4*(-2 + sqrt(468)) - (4 + -5*1*sqrt(468))).\nAnswer: 198*sqrt(13) + 7483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 16*f - 50. Let w be (-22)\/f - 9\/45. Let c be (2\/w + -1)*7\/21. Solve -5*x - 3*t = -t - 3, -3*x - 2*t + 1 = c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (435\/(-60))\/((5 + -1)\/(-16)). Solve -b*g + 26*g = 5*p + 5, 5*p + 4*g = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -1156*b**3 + 676*b + 3532. What is the derivative of i(s) wrt s?\nAnswer: -6936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 14, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1507 - -8390. Calculate the remainder when z is divided by 3437.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4573?\nAnswer: 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(246\/9922*44)\/(1*-2).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00257 + 0.96203. Let k = 0.0354 + i. Let r = 0.23 - 24.23. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 - 5*x**2 + 4*x. Let i(v) = 2*v**3 - 4*v**2 + 3*v + 1. Determine -4*i(z) + 3*u(z).\nAnswer: z**3 + z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 12*t - 3*t + 4*t. Let i(n) = -n**2. Let s = 157 + -130. Let z(m) = -6*m**2. Let o(x) = s*i(x) - 4*z(x). Determine a(o(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-2)\/(-2)))\/((-58)\/(-29))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -127. Suppose -q*i + 2*u + 226 = 0, -6*u = 5*i - 10*u - 570. What is the remainder when i is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:10 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -411 - -405.89. Let q = 0.11 + d. What is the third smallest value in q, -2\/9, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, a: 1, j: 2, h: 5, q: 2}. What is prob of picking 1 j and 1 r?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -2*z**3\/3 - 623. Let g(y) = 487*y. Calculate g(m(o)).\nAnswer: -974*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*u - 897 = -196, -4*o + 3*u + 570 = 0. Let x = o + -2. List the prime factors of x.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/20 - 68*w**2 - 3*w. Let x(g) = 841*g. Give z(x(j)).\nAnswer: 2121843*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in 1, 0, -2, 0.08, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1178, 1179, 1190, 1217, 1266, 1343?\n\"Answer: a**3 - a**2 - 3*a + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37757*l - 252 + 248 - 90586*l.\nAnswer: -128343*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0 + 2*x - 16\/7*x**3 + 2\/7*x**4 - 1\/70*x**5 + 64\/7*x**2. Find v such that o(v) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/2)\/(12\/600). Let v be (-1147)\/(-74) - (-1)\/(-2). What is the tens digit of (o\/v)\/5*(-34 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 849 and 108106.\nAnswer: 324318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/17? (a) 8 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x)**(-19\/3)*(x**(1\/2)\/x)\/((x*x**(-3\/7)\/x*x*x)\/x*x) assuming x is positive.\nAnswer: x**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1435*j**2*l - j**2 - 83*j with respect to l.\nAnswer: 1435*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.094 + 3.364. Let q = 44.957 + 0.043. Let m = h + q. What is m rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6111*o - 3306040. What is j(541)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70399\/(-35064) + 4\/32. Let b = i + -3\/487. Calculate the common denominator of ((-134)\/108)\/((-3)\/6) and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 6. Let l(o) be the first derivative of 3*o**2\/2 + 5*o + 10. Let r(k) = -5*i(k) - 6*l(k). Let v(t) = -26*t. What is r(v(n))?\nAnswer: -52*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*v - 0*v - 25, 3*v = -2*s + 6. Let m be (-3 - 4\/(-2)) + 11. Let p = s + m. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**5\/20 - 5*s**4\/12 + 5*s**3\/6 - s**2\/2 + s. Let o be r(4). Suppose 2*n = -n. Put 5, n, o in descending order.\nAnswer: 5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5672, 12626, 19580, 26534?\nAnswer: 33488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.12 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u - 2320 = 25*u. Let c be (4 - u\/15)*-3. Solve -8*t + c*t = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 669.5 to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m + 11. Give v(8).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.5, -2\/7, 2\/3, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 186332.1 and 1?\nAnswer: 186332.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 29*o - 18*o**3 + 17*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3822*r - 49875. Give d(-12).\nAnswer: -4011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926636 is divided by 324?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*i**5 - 2 + (i**5 + 2*i**4 - 2*i**4)*(-2 - 2 + 3) - 7 - 3*i**5 + 7.\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 5*p + 7450498 = 16*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/380668155 and 109\/280.\nAnswer: 3045345240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 12b1?\nAnswer: -12aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209670099 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 0. Suppose 35 = t*f - 4*f. Let b(a) = -a + 11. Calculate the lowest common multiple of 10 and b(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r + 84*r + 504*r + 234*r + 516*r.\nAnswer: 1358*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 0.69, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**7\/21 + 18*j**6\/35 + 15*j**5\/14 + 8*j**4\/21 - 4*j**3\/7 - 23*j - 1. Solve q(a) = 0.\nAnswer: -6, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -1399?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d91 + 6d?\nAnswer: 8dfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:46 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13272, -25403, -37556, -49731, -61928, -74147?\nAnswer: -86388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2 + 7 - 8 + w**2 + 3*w + 3*w**2. Let n be a(-1). Find the second derivative of -14*l**4 - 2*l + 3*l**4 + n*l + l wrt l.\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 57?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616 a factor of 1201962016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(-3*(2*sqrt(495) - sqrt(495) - sqrt(495)))\/(-4*(sqrt(704)*1 + sqrt(704) - sqrt(704))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21911 and -0.108716.\nAnswer: -21911.108716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 3, w: 1, i: 2}. What is prob of sequence iwi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, 36, 170, 452, 936, 1676, 2726?\n\"Answer: 9*q**3 - 7*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45410 (base 7) in base 3?\nAnswer: -120210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -3b8?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277632.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 190900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 i when four letters picked without replacement from {h: 1, i: 3, l: 4, m: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/28 and -109\/3618.\nAnswer: 50652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (8 + -8 + -11)) + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from {l: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/9 - 5\/9. Let s be (-30)\/(-75) + 56\/(-190). Sort s, -4, b in decreasing order.\nAnswer: s, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -13*v + 15673872. Let h = -4492312 + v. Round h to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 + (-11540)\/8)\/(12\/(-16)). Let a = 662 + 235. Let y = j - a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = -132 - 554. What is the remainder when 495 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 + 18*m + 20. Is 22 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-4 + 1 - 2)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 244 = -25*c + 22*c, -3*r - 4*c = -349. What is the first derivative of 146 - 148 + r + 37*o wrt o?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 475 + 147*u**2 + 160 - 143*u**2 as s*u**2 + q + j*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 0*h**3 + 11\/2*h**2 + 9*h - 1\/2*h**4.\nAnswer: -(h - 4)*(h + 1)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4*x. Let i be m(5). Suppose -n - 6 + 3 = -q, i*q = -3*n + 7. Suppose -q + 10 = 4*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 384 and 137?\nAnswer: 52608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32162317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 - 145*b - 29. Let k be n(29). What is the third biggest value in 4, k, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 10 = -2*l, 13*l - 3*t - 6 = 19*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6400893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 683974 and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1182 and 30732?\nAnswer: 30732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21315.86 from -0.105088184.\nAnswer: 21315.754911816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 4)*(-2*s**3 - 3*s**3 + 4*s**3) + (-319 + 159 + 1854)*(2*s**3 + 0*s + 0*s) to o*s + z + b*s**3 + y*s**2 and give b.\nAnswer: 3392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4461)\/27 + 4\/18. Let i = c + 98. Let f = i - -239\/4. Find the common denominator of f and 62\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:09 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 248*z**2 - 252*z.\nAnswer: 4*z*(z - 1)*(z + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 2*p + 2*p + 34 - 2*p in the form f*p + j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6899 + 4507. What is the remainder when z is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159843725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-161)\/(-3))\/((-1)\/(-3)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*h**5*l - 2*h**4*l**3 + 12*h*l**3 - 3*l**3 wrt h.\nAnswer: -2460*h**3*l - 24*h**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -41367417*q. Let o(b) = 2*b. Determine o(l(v)).\nAnswer: -82734834*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1286.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328688 is divided by 1825.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0 + 0*m + 1\/672*m**8 + 0*m**4 + 4*m**2 + 1\/140*m**7 + 1\/120*m**5 + 0*m**3 + 1\/80*m**6. Let f(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 2 + 616*q**2 - 762*q**2 as c*q + u*q**2 + r and give u.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58731\/81 + 10\/(-135) is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9120\/(-256) - -36) + (-139)\/72.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 320 = -335. Let q = 2 + -2. Suppose -4*b + 0*b + 16 = q. Sort b, n, 5 in descending order.\nAnswer: 5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -16*d - 143. Let o be a(-5). Round o to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 6*b - 96*m + 153 = 3*b, -5*b + m - 71 = -2*m for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16475367 + -2?\nAnswer: 16475365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let c be (-45)\/(-6)*8\/6. Let r(p) = 5*p + 2*p - c*p. What is r(x(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6288745.\nAnswer: 5, 1257749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -468512\/15 + 85184\/15*b - 2\/15*b**4 - 1936\/5*b**2 + 176\/15*b**3.\nAnswer: -2*(b - 22)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -17 + 15 + 4 - 2*l + 2*l**2 + 2*l**2. Calculate a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17313 = 5*j + 24*j. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/10)\/((-2)\/(-464))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363681 and 12.\nAnswer: 1454724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/126 and 19\/72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2. Let w(p) = 1301*p**2 + 2*p + 2. What is w(a(q))?\nAnswer: 11709*q**4 - 6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809372243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 86. Solve w - 3*w = -j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542.046195 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 5:09 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-214)\/38 - (-10 - 0)\/(-10). Suppose 4*k + 28 = 7*t - 11*t, 0 = 4*k - 5*t + 37. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1147, -1.\nAnswer: -2, -1, 0, 1147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*h)*(-35 - 5 - 46)*(7*h**4 + 68*h**3 - 68*h**3) - 2*h**5 + 2*h**5 + h**5 + (-h + h + h**5)*(1 - 1 - 2).\nAnswer: -3613*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.058 + 50. Let y = -0.788 - -1.26. Let o = y - s. Round o to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 4 + -7 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 220 - 732. Let t = 213 - p. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 566 - 558. Solve m + v = -0*y - 4*y, 5*m = -3*y - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*g = 38, 5*g = 3*y + 2*y - 110. Solve 4*l - 4*u + y = 0, -3*l - 20 = -l - 4*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49854872 - 11858889 = 109*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 23987204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -544337.89 and 1847.8.\nAnswer: -542490.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36421898 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (0 + sqrt(272) - sqrt(272))*6 - sqrt(272))**2 - (2*sqrt(272) + -4)**2 - ((2 + sqrt(17))*3 - (sqrt(17) - sqrt(68)\/sqrt(4))*-3).\nAnswer: -1110 + 61*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/108)\/(10\/6). Let u(y) be the third derivative of -v*y**6 + 1\/12*y**4 + 0*y + 0*y**3 + 1\/30*y**5 + 0 - 1\/105*y**7 - 3*y**2. Factor u(z).\nAnswer: -2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:59 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -579 - -590. Suppose 5*n + j*n = 20128. List the prime factors of n.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0 + 6*s**3 + 0*s - 2*s + 1. Suppose -12*h - 7 = -19. Determine f(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 13 = -2*x + q, 2*q = -x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, o: 5, w: 9}. Give prob of picking 2 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320\/3*u + 18*u**4 + 352\/3 - 16*u**3 - 368\/3*u**2 = 0. Calculate u.\nAnswer: -22\/9, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2917*m + 52 = 2930*m. Let r(z) be the second derivative of 10*z + 0*z**3 + 0 + 0*z**m + 1\/10*z**5 - 5\/2*z**2. What is the derivative of r(o) wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 - 22*x**2 - 41*x - 27. Determine v(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -5.\nAnswer: -5 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)*g*g*g*g\/g**(2\/101)*(g**(5\/4)\/g*g)**(6\/11) assuming g is positive.\nAnswer: g**(-25193\/2222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52206551317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -450, -535, -622, -711, -802?\n\"Answer: -k**2 - 82*k - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -206, -258, -364, -542, -810, -1186, -1688?\nAnswer: -2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2169, -2136, -2103, -2070?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -2\/7, -1\/2, 28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -19.\nAnswer: -21\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 5 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*l**3 + 74*l**3 + 245*l**3.\nAnswer: 153*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 12. Suppose -10*x + 196 = 426 - 140. Let u(k) = -2*k + 25. Give x*y(n) - 4*u(n).\nAnswer: -n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*k + 320*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -25103390 to the nearest 100000.\nAnswer: -25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1896 + 69.59\nAnswer: 1965.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(t + 0*t + 3*t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14740 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -55921.\nAnswer: 85\/55921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33*1*4\/6 and 12\/(-16)*40\/(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17*m - 1 + 3*m - 7 + 2*m**2 - 5*m. Let r be z(-8). Is -2\/13 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**2 + 17108349*x + 147552551 wrt x.\nAnswer: -2*x + 17108349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 18 - 14)*(-2*r + 2*r - 4*r**2)*(r - 4*r + 4*r).\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -23. Suppose 9 + 167 = 4*s - 4*m, -3*s = -5*m - 130. Let z be s - (3 - (11 + b)). What is the greatest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -1\/180*w**6 + 0*w + 3*w**3 + 7 + 0*w**2 + 1\/15*w**5 - 1\/3*w**4. Let y(k) be the third derivative of o(k). Factor y(j).\nAnswer: -2*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 39*i - 359. Suppose -4*o = -2*g + 238, 3*g - o = 338 + 39. Calculate the remainder when g is divided by b(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 574, -2?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4160\/299 + (80\/184)\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53723108.\nAnswer: 2, 19, 706883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5.49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + (-56)\/(-6))*459. Suppose 3*i = 4*f - 13 - 46, 3*f = 3*i + 48. Suppose -f*u + k = 7*u. Calculate the highest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d - a - 34 = 0, 2*d - 3*a = 0. Let u = d + 4. What is the nearest to -1 in -5, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3374*m + 3364*m = -257930. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2549274 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132.5 + 132. Is -2\/3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 - 7*u + 16 - 2*u - 12 + 20. Let m(s) = s**2 - 2*s + 6. Let k(f) = 2*c(f) - 9*m(f). Suppose 0 = -4*h + 2*h. Determine k(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6971157, -6971158, -6971159, -6971160?\nAnswer: -6971161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4827746 and 22?\nAnswer: 4827746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 19, -15\/11, -0.0479 in decreasing order.\nAnswer: 19, -0.0479, -0.4, -15\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41891743 plus -0.03?\nAnswer: 41891742.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b - 7 = 0. Let d = b + 9. Factor -11*c**5 + 0*c**4 + c**4 + c**4 + 4*c**3 + 2 - 4*c**d + 9*c**5 - 2*c.\nAnswer: -2*(c - 1)**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - 1*sqrt(176))*-5)**2 - (-3 + sqrt(176) + -1)**2.\nAnswer: -192 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1023989 and -1023989 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (-4 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Let a(w) = 7*w - 6*w**3 - 7*w - z. Calculate a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -7*i**6\/6 + 21*i**5\/5 - 3197*i**2\/2 - 1358. What is the second derivative of t(p) wrt p?\nAnswer: -140*p**3 + 252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:17 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1052385 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.02 (b) -4\/9 (c) 1\/189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 22 (b) -68.23 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1873 - -13110\/7. Let m = -9 - -13. Suppose -3*p + m + 2 = 0. Sort 3\/5, p, x, 0.5 in descending order.\nAnswer: p, 3\/5, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:36 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 28627*s - 657892.\nAnswer: -(s + 23)*(s + 28604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 6)\/3*-2. Let o be 2\/(1\/1950*4). Suppose -3*h + o - 278 = q*w, 5*h - 1155 = -2*w. List the prime factors of h.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1568.853 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 602836*h*w**2 - 381*h*w + 143354336*w**2 with respect to h.\nAnswer: 602836*w**2 - 381*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 1. Let k(o) = 3*o**2 + 4*o - 3. Let c be k(1). Let j(p) = 2*p - 1. Determine c*u(d) - 5*j(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(12) + ((sqrt(108) - sqrt(3)) + -5)**2.\nAnswer: -99*sqrt(3)\/2 + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 15*j + 41. Let y be n(12). Suppose y*a = 2540 - 455. What are the prime factors of a?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*x - 46, 2*x + 3*x = 4*a + 130. Suppose 0 = -r + 4*r - 3*p - 27, -2*p - x = -3*r. Suppose -5*s - 7 = -57. Solve c + r*c = -s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1577 - -10965. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.562 + -0.038. Let b = p + 6. Sort b, 1\/4, 5 in decreasing order.\nAnswer: 5, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008569 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let y = -2 - q. Let m(l) = 2*l**2 + 91*l - 45. Let h be m(-46). Which is the biggest value? (a) h (b) y (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**5\/60 + b**4\/3 + 13*b**3\/6 + 4*b**2. Let p be y(9). Sort p, 1, -4 in increasing order.\nAnswer: -4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-5)\/(-4) - -2) + -4)\/(-3). Let g = -3 - -1. Let f = g + 2. Which is the nearest to -0.1? (a) s (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10236*b + 2. Let s be d(-2). Let n be 1\/(2\/(-8)) + s\/(-5175). Which is smaller: n or 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 30*l**3 + 21*l**2 + 54*l.\nAnswer: 3*l*(l - 9)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 552254957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 5*x + 2. Let t be a(4). Let c be 4\/(-6) + t\/6. Calculate the common denominator of -85\/8 and (-61)\/(0 + -1 + c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5151 or 1?\nAnswer: 2\/5151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + h + 7. Calculate the remainder when r(3) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28137704, 56275408, 84413112, 112550816, 140688520?\n\"Answer: 28137704*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.095 in 0.09, 19\/2, -5, -4, 24?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.885 + -516.115. Let v = l + 793. What is the biggest value in -0.1, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 208876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 220, 308, 398, 490?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let k(v) = -v. Let r(z) be the third derivative of -5*z**4\/12 - 2*z**2. Let j(p) = -36*k(p) + 4*r(p). Calculate j(d(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85986287 is divided by 21205.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose -3*a + 1 + 5 = y. Suppose -a = q - 0. Sort 0, 4, q.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922817 is divided by 3634?\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*z - 4*h, 2*z - 5*h - 85 = -3*z. Suppose 0 = 28339*f - 28355*f + 1120. Calculate the remainder when f is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 500938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5396451*l**6 - 137*l**2 - 16944 wrt l.\nAnswer: 647574120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 295 + 151 + 60 = 0. What is the nearest to -2 in 1.252, 5, d, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, -1\/2, -15 in increasing order.\nAnswer: -15, -1\/2, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/2 - 228*w**2 - 894*w - 888.\nAnswer: -3*(w + 2)**2*(w + 148)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 2 + sqrt(13))*-3.\nAnswer: 18 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24192, 48346, 72512, 96696, 120904, 145142?\n\"Answer: b**3 + 24147*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -243, 2431, 2 in decreasing order.\nAnswer: 2431, 2, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01482 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 903896863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*w - 3*w + 0)*(-11752 + 11771 + 16*w**2 - 56*w**2) as h*w**3 + t + v*w + j*w**2 and give t.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43170 divided by 1.\nAnswer: 43170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**3\/3 + q**2\/2 + q. Let m(n) = 4*n + 3. Let a = -16 - 8. Let v = 27 + a. Give v*m(j) - 7*h(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 2*y**2 + y + 1. Let w be f(-2). Let v = w - 0. Let o(r) = 38*r**2 - r. What are the prime factors of o(v)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-3*-1)\/(sqrt(648) + sqrt(648)*3).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 + 58*p**2 - 7775*p - 56*p**2 - 2*p**3 + 2.\nAnswer: -2*p**3 + 2*p**2 - 7775*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and -3 + (3 - -5) - -28.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496739.\nAnswer: 3, 83, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (11 + -31 - -8) + 9 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 4237207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = d, 3*a = -5*d - 5 + 10. Solve 3*i = a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 11*y**2 - 7*y - 347. Let i(s) = s**3 - 6*s**2 + 4*s + 173. Determine -11*i(n) - 6*v(n).\nAnswer: n**3 - 2*n + 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85842697?\nAnswer: 29, 997, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9687, 9686, 9685, 9684?\n\"Answer: -z + 9688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -775408, -775413, -775424, -775441, -775464, -775493?\n\"Answer: -3*n**2 + 4*n - 775409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17670)\/31806)\/(-1 + (0 - (-4)\/6)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3\/7 - 304*r**2\/7 + 624*r\/7 = 0 for r.\nAnswer: -78, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51488 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/5 + 1028*t**2\/5 - 15082*t\/5 + 55888\/5 = 0?\nAnswer: 7, 8, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-655*c**2 - 549*c**2 - 1306*c**2 + 72*c**2 - 690*c**2)*(0*c**2 + c**2 + 5*c + c**2) as l + h*c**3 + a*c**4 + b*c + m*c**2 and give a.\nAnswer: -6256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071 = 4*n + 4*z - 1437, 0 = -n + 2*z + 615. Calculate the remainder when n is divided by 599.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:22 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2852*h**3 - 3097*h**3 + 5977*h**3.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/2, 55, 137, -4, -6?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = 10 - 33. Solve 2*i = 3*i - w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 125 - 7 = -96*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48704601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343222 (base 5) in base 9?\nAnswer: 42281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*w + 63599997 = -4*a, -5*w = -5. What is a rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 19 + 9 = 0. Let p be (51\/6)\/(5\/o). Differentiate p - 5*x + 5*x - 2*x**3 + 14*x**3 with respect to x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 1\/3, -1\/10 in descending order.\nAnswer: 1\/3, 0.3, -1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -13. Suppose -10 = d - b*r - 40, 3*d + 4*r = 110. Is d\/(-4)*(-6 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (118 + -2 - 108).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 947aa46 - -12?\nAnswer: 947aa58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15397 < -15398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = v - 9, 5*v + 4*f - 155 + 46 = 0. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 10*d + 1716. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 780154527.05 and -385.\nAnswer: 780154142.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 23*t - 10. Let k be q(-12). Suppose -3*l + 8 = -l. Solve k*d - l*d + 12 = 4*a, -a - 6 = 5*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 - 1 = 0. Let j be (-702)\/(-273) - (-3)\/7. What is the least common multiple of j - (-5 + 3 - q) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 268294*u**3 - 2*u**2 - u**2 + 3*u - 268308*u**3.\nAnswer: -14*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-221) + 21\/(-1190).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-2)**2*4*3 - (2*(sqrt(425) + 0) + 1)**2) + ((-1*sqrt(425) + 3 - sqrt(425))**2 - (sqrt(425) + -5 + (-2*sqrt(425))**2)) + 1.\nAnswer: -85*sqrt(17) + 18714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 4, k: 3, r: 2, y: 4}. What is prob of sequence uyr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403\/682*22 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 11*d**2 - 24*d + 23. Give j(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.49 - -4.59. What is the third smallest value in 3\/5, i, 0.5, 8\/47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 105 + 63 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y + 2. Suppose 0 = -0*c - 4*c + 5*h + 23, 0 = c - h - 5. Let j(w) = 114*w**c + 2 - 4*w - 116*w**2 + 4*w. Calculate j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12038212.\nAnswer: 2, 3009553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586232817.\nAnswer: 13, 9385993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95647 is divided by 2515?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-21) - 1 - (-38)\/(304\/(-40))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(0 - 4 - 5)*(-o - 3*o + 0*o).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-28)*(30 - 0). Let g be (-12)\/x*2\/8. Find w, given that 2\/5 + 3\/5*w + g*w**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*h - 40 = -0*k, -48 = -k - 2*h. Suppose 0 = -0*w + 4*w - k. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 231, 2602, -2, -9.\nAnswer: -9, -2, 0, 231, 2602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144419658 or -433258978\/3?\nAnswer: -144419658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9796 - 9795.998363. Round h to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119417 - 17912467\/150. What is the common denominator of l and -103\/120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*f**3 - 2 + f + f + 162*f**3 + 6*f**4 to q + g*f**3 + m*f**2 + r*f**4 + v*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 58\/10 + (-30)\/6. What is the nearest to 17 in -1\/7, 0.7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 - 161. Suppose -2*o = -b - 52. Calculate the lowest common multiple of o and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(64) + sqrt(4)) + 1*sqrt(875))\/(sqrt(567) - (2*sqrt(567)*-2 + sqrt(567) - sqrt(567))).\nAnswer: 26*sqrt(5)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 524.8 + -596. Let p = k + 71. Which is the third biggest value? (a) 0.5 (b) 1\/4 (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - c - 51 = 0, 0*y - 2*c = y - 10. Let x be 96\/9 + 1\/(-3)*-1. Solve 4*a + 3*p + p = -y, 2*a = -5*p - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 21. Let k = b - -2. Suppose 64*n = -n. Put 27, -5, k, n in decreasing order.\nAnswer: 27, n, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755276341.\nAnswer: 37321, 100621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 1)*2\/6. Suppose 4*i - 196 = -29*x + 32*x, -5*x = 20. Suppose 13 = -b*a + i. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28521 and 15391833.\nAnswer: 46175499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 15*x - 144800. What is x rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 34 = 7*j - 3*r, 3*j + 5*r = 0. Let q(n) = n**3 - 5*n**2 + 2*n - 1. Give q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-2944)\/(-4) + 6\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k = -27*k + m - 3, 3*k + 7 = -5*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -16*y - 13. Let w(d) = -2*d**2. Calculate w(h(r)).\nAnswer: -512*r**2 - 832*r - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 0.2. Let y = -1761.9 - -1745.9. Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0085*3992\nAnswer: 33.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.374 - 0.006. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.76 + 149.76. What is the third biggest value in s, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -j - 2872, g = 6*j - 4*j + 949. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19146912 divided by 1196682\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7999250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.26 (b) -14\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k**2 + 4282764*k - 115429204 wrt k?\nAnswer: -12*k + 4282764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h + 18. Suppose 0 = 2*m + c + 10 + 12, 0 = -m + 5*c - 22. What is the remainder when ((-80)\/m)\/((-1)\/(-6)) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**7\/105 + s**4\/4 + 3*s**2\/2 - 7*s. Let j(w) be the first derivative of d(w). Find the second derivative of j(q) wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463205912?\nAnswer: 2, 3, 7, 17, 541, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 6 - 70. Suppose -7 = -5*c - 3*x, -2*x + 2 = 4. Let z be 126\/35 + c\/5. Calculate the greatest common divisor of k and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4.4. Let y = -0.9 - z. Which is the third smallest value? (a) y (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*j - 180 wrt j.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 9)*4820\/(-6748).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 16*w - 14. Let t be f(-17). Suppose -p + 3*h = 4*p - 6, 4*h = t*p - 8. Let x = -32 + 34. Solve p = -x*u - 5 - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 3. Let m(u) = -3*u + 5. Let v(k) = -5*j(k) - 3*m(k). Let q(p) = 4*p**2. Give q(v(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -41. Let u(g) be the third derivative of 0*g**v - 1\/60*g**6 - 2*g**2 - 4\/735*g**7 + 0*g + 0 + 1\/84*g**4 - 1\/105*g**5. Solve u(j) = 0 for j.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d**2 - 11 + 11. Let v(s) = 2*s. Give v(l(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 2*v + 4. Let j be p(-4). Let g(n) = 3*n**2 + 7*n + 5. What is the remainder when g(j) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.687 + 7.687. Sort -21\/11, -0.3, -3, m in ascending order.\nAnswer: -3, m, -21\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 33*g**2 - 2*g + 83. Let v(s) = -38*s**2 + 3*s - 80. Determine 6*o(r) + 5*v(r).\nAnswer: 8*r**2 + 3*r + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w = -8. Let z be w\/12 - (-7)\/3. Let t = 2 - z. Which is greater: -1\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6145290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245230 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))**(-42)\/((z*(z*z**(1\/4)*z*z)\/z)\/(z*z\/(z*z\/z**(-2\/7)))) assuming z is positive.\nAnswer: z**(-1863\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124399.\nAnswer: 11, 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 7 (c) 0 (d) -14 (e) 3\/4 (f) 5.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -97. Let m(y) be the second derivative of y + 0 + c*y**2 - 1\/4*y**4 + 0*y**3. Let n(k) = k**2. Give m(n(x)).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t*t\/t**(1\/2)*t**(1\/3)\/t*t\/(t**(4\/9)\/t))**26)**41 assuming t is positive.\nAnswer: t**(32513\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11385 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 30374403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 - 139*i + 34 - 124 + 56 - 118*i to x + o*i and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 552.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -2 + sqrt(2) + 0 + sqrt(2) + 2 + sqrt(128) - (3*(sqrt(128) + 2) - sqrt(128))*-3.\nAnswer: 18 + 59*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -15 - 0 - 1) + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*q = 442*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 30.6. Let t = 7.8 - 8. What is the second biggest value in 1, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5478796 and 566772.\nAnswer: 16436388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*(sqrt(243) + 0) - sqrt(243) - (sqrt(243) + 1)*-3))**2.\nAnswer: 90*sqrt(3) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 25, -i + 6 = 3*i - 2*t. Suppose i*q = 4*g + 476, 5*q - 110 = 2*g + 494. Let s = 45 - q. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**6\/360 + y**5\/30 + y**4\/8 + y**3\/2 + 2*y. Let d(p) be the second derivative of o(p). Factor d(z).\nAnswer: (z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r - 14. Let x be i(-2). Let m be -1*x*10\/(-20 + 10). Solve 0*n - 4*n - 7 = b, 3*b - n = m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/90 - 1 - (-36)\/(-162). Factor -y*g**2 - 12\/5*g - 9\/5.\nAnswer: -3*(g + 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 f, and 1 j when four letters picked without replacement from {j: 4, d: 9, i: 2, f: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-3 + (-7 - -7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -15.26\nAnswer: -0.6104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3308 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -28*r**3 + r**2 - 55*r + 55. What is q(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 >= 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/15)\/3)\/((-2)\/15)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21073 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*s = -44, -7*i + 5*s = -4*i - 47. Solve 3*u = i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*v + 5. Let p(n) = 2*n - 11. Let u = 27 + -24. Let l(s) = -5*s + 23. Let y(i) = u*l(i) + 7*p(i). Give y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 4*m + 36, -3*w + 5*m = 59. Let v = -3 - w. Solve 1 = -r - x, v = -5*r + x + 4*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 8*s**2 + 10*s - 10. Let j be z(9). Let i(f) = 2*f + 2. Let u be i(j). Let b(c) = -2*c - 3*c + u*c + 2*c. Let y(t) = -4*t. Give b(y(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5256, 8098, 10940?\nAnswer: 13782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 22652*f + 406440.\nAnswer: 4*(f + 18)*(f + 5645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002040809225 to 7 dps.\nAnswer: -0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2011 + 1305. Let o = 2121 + w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242 - 274. What is the hundreds digit of 3\/(-24) + (-14756)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -239\/2. Which is greater: -10 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1272 and 212?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, w: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3025 and 1.\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41096956.\nAnswer: 2, 17, 73, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64379 and 153?\nAnswer: 579411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:49 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 8. Let c(m) = -m**3 - 4*m**2 + 4*m. Let y be c(-5). Let z = y + -3. What is the remainder when z is divided by a(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 2*q + 2*q + 30*q**2.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from iqz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*t + 6*t - 2, -5*t + 28 = g. Let p(a) = -a**3 + 8*a**2 - 9*a + 6. Let s be p(7). Let i = s + g. Put -3, -4, i in descending order.\nAnswer: -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 6*o + 6. Suppose -139 = 2*w - 127. Let a(b) = -b**3 - 3*b**2 + 5*b + 5. Let c(q) = w*a(q) + 5*m(q). Factor c(v).\nAnswer: 3*v**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25593662\/35 + -730832. Let s = -130737 - -655781\/5. Let q = k - s. What is the common denominator of -73\/2 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 5 - 5)*(2*h**2 - 2*h**2 - 2*h**2) + (-h - 4*h + 4*h)*(0*h**3 - h**3 + 2*h**3) - 7662*h**3 + 51*h**4 + 7662*h**3.\nAnswer: 46*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -25. Solve -14 = m*d - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -39\/4 (c) 0.5 (d) 2\/45 (e) 0.048\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/2 + 4379*r**2\/2 + 859085*r\/2 + 41235225\/2 = 0.\nAnswer: -95, 4569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efkexexeefnkentkxx. What is prob of sequence ke?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**3\/3 + 10*a**2 + 15*a - 21. Let n be g(19). Calculate the least common multiple of 9 and 438\/n - 1\/17*-2.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-7)\/(-3) - 1056\/(-288). Solve z = x*l + 3 - 7, -3*l + 5*z + 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + v**3)*(0 - 2*v + 0) - 2*v**4 + 0*v + 0*v.\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1654230 (base 9) to base 12.\nAnswer: -385439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1*17\/(-918).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -192*p + 4198. Calculate the remainder when 5474 is divided by m(21).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/564 and -103\/282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 3 - 19) + 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -833 + 395. Let d = g + 479. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*g - 21 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 144*m + 1986. Calculate d(-84).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (10 - 12 - -4 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-5)\/390)\/((-240)\/520)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c - 46. Let o(q) = -20*q - 69. Let a(d) = 7*f(d) - 5*o(d). Differentiate a(b) with respect to b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -113*i**2 - 2*i + 6. Let c be s(4). Let g = 1078 + c. What is the tens digit of (-3)\/(-21) - g\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -2. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Suppose 1 - 9 = -r*d. Let k(w) = 2*w + w + 2 + w**2 - d. Calculate k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 2*k + 495 + 0*k - 77 - 259 - 67.\nAnswer: 2*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24889 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 28*t**2. Let h(u) = -59954*u. Calculate j(h(k)).\nAnswer: 100645499248*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143023626.\nAnswer: 2, 3, 7945757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 8:13 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 4)*(-3 + 3 + a)*(-3*a**2 + a**2 + 0*a**2) to q + z*a**2 + h*a + d*a**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*o**4 - 4*o**4 + 3 - 2 + 3 wrt o?\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*d - 27*d + t, -3*t = 0. Is 16\/95 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 1. Let i(w) = 5*w**2 + 5*w + 6. Let a(c) = i(c) + 6*s(c). Let q be a(6). Suppose 8*h - 7*h - q = 0. Do 4 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 86*d = -81*d - 2805, 0 = -4*c - 7*d + 2262. What is the greatest common divisor of 333 and c?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3239157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41202756 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.08965859 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 211\/2 at most as big as 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 26*c**2 - 117*c + 19. Give n(-20).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 75.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*x + 7450 = 0, -2*u + 788 - 4506 = -2*x. Let f = u + 17822. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 3. Let k be f(4). Let a(x) = -x - 4. Let n(r) = 1. Let o(u) = a(u) + 6*n(u). What is the units digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, 8\/13, 1\/2.\nAnswer: -10, 1\/2, 8\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x**(2\/3)*x)\/x*x)\/x)**(15\/4)\/(x**(4\/3)*x**(-2\/15)*x) assuming x is positive.\nAnswer: x**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.259 + 191.741. Let l = j - 190. Which is bigger: l or -6.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + s - 5. What is q(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1518985 (base 11) to base 7.\nAnswer: 31061521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 128*n**3 + 2*n**2 - n - 1. Let r be c(-1). Let k = r - -153. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -81, 31\/4, 53, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1 - 2 - -1). Let t be (-2)\/4*0 + n. Let s be 2\/(-10) + (-2)\/(-10). Is s at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((r*((r\/(r*(r**(-9)\/r)\/r*r))\/r)\/r)\/r)\/r)\/r)\/r*r**(-17\/3))\/((r\/(r*(r**(-3\/8)\/r)\/r))\/(r**(2\/5)\/r*r)))**(2\/5) assuming r is positive.\nAnswer: r**(-317\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*(-4)\/(-8))\/((-12)\/8). Suppose -4*q + m*x = -2*q - 68, 0 = -4*q - 5*x + 163. Calculate the remainder when 71 is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372077218?\nAnswer: 2, 3, 7, 17, 3322237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/14130 and 55\/36.\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121350*f**2*t*v*z - 2*f**2*v*z + 2*f**2*v + 80*f**2*z + f*t*v*z + f*z + 97*v wrt t.\nAnswer: -121350*f**2*v*z + f*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 188*t - 46457. Determine w(247).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 8. Let a(n) be the third derivative of -5*n**4\/8 + 17*n**3\/6 + 7*n**2 + 15*n. Calculate -4*a(m) - 9*q(m).\nAnswer: -3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -0.519, 1 in descending order.\nAnswer: 1, -0.519, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4\/5 + 201*u**3\/5 - 582*u**2\/5 + 384*u\/5 = 0?\nAnswer: 0, 1, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q**3 - q + 1. Let u = -3 + 8. Suppose -5*o + u = 5*f, 0 = -o + 5*f - f + 1. Determine r(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2. Let b(u) = u. Let h(c) = 2*c - 2*c - 9*c. Let t(m) = 51*b(m) + 6*h(m). Calculate l(t(z)).\nAnswer: 117*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51\/115 + 1\/23. What is the closest to a in -0.4, 4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*f - 261 + 261)*(-3 + 3 + 3*f**3) + f**4 + 3*f - 3*f + (-1 - 2 + 1)*(0*f**4 + 0*f**4 + 2*f**4 + 3*f**2).\nAnswer: -66*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b**2 - 1. Let h(i) = -567 + 2257 + 8*i**2 - 562 - 563 - 565. What is h(l(u))?\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 916755.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -701, -5 in ascending order.\nAnswer: -701, -5, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106374286 by -1.\nAnswer: 106374286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 4*c + 5*c - 9*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880203.1l to millilitres.\nAnswer: 880203100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1335601.76 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4699058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - (-1749)\/15. Calculate the highest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1043 to 3 decimal places.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 891.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 513, 511, 507, 501, 493, 483?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46734, -46733, -46732, -46731, -46730, -46729?\nAnswer: -46728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2875100 rounded to the nearest ten thousand?\nAnswer: -2880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 435 + 87. Let i = t - 66. Put i, 0, 5 in increasing order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 50*x = 15. Solve j - 8 = 4*t, -x*j - 10 = 2*t + 3*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -645313 - -298082. Is 108\/198 - f\/11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)*3\/2. Let c(u) = -15*u - 2*u**2 + 5*u**2 - 13 - 5*u**2 + u**2. Let w be c(-13). Solve 4*r + x*h - 5 = 0, 0 = -r - 0*h + 4*h - w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = 2. Suppose -a - n = -5*a + 15, 9 = a - b*n. Let h(f) = f + 5*f - a*f. Let s(r) = -r**2. Give h(s(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(1\/5 - -1). Suppose 0 = h - 0*h + 4*s - 14, -5*h + 3*s + 24 = 0. Calculate the remainder when -44*(3\/y - 0) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 6:37 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13028009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866722.\nAnswer: 2, 433361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 18 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11513 is divided by 362?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -493*g - 483*g + 955*g. Let n(x) = -2*x**2. Give n(a(d)).\nAnswer: -882*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -3)\/5 + 1. Find the third derivative of -213*t**2 + 18*t**5 + 0*t + 2*t + 214*t**w wrt t.\nAnswer: 1080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143097 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-4 - 4) + -19 - (-14 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 15611, 4, 9.\nAnswer: 4, 8, 9, 15611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*v + 8. Let z = v - 3. Suppose -80 = -4*h - 3*t, 2*h - t + 0*t - 40 = z. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1))\/2*110\/2475?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11911478?\nAnswer: 2, 2089, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 417384 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -206. Let u be (-665)\/k + (-2)\/11. Put u, -1, 4, -4 in increasing order.\nAnswer: -4, -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -871 by 37.\nAnswer: -871\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.76 and -12.41788.\nAnswer: -20.17788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 + w - 1. Suppose -3*s - 3 = -4*s. Let t be a(s). What is the biggest value in t, 2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rff when three letters picked without replacement from {r: 13, f: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*z + 125*z - 6. Let v(k) = -6*k + 3. Let y(s) = -3*s + 2. Let a(t) = 2*v(t) - 5*y(t). Let f be a(z). Solve 0 = f*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*x - 17 = 0, -3*f + 5*x + 52 = 66 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.3 (c) -437 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 2\/9 (b) -12 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j**2 + 8*j - 8. Let m = -63 - -55. Let u(p) = -p**2 + p - 1. Let l(v) = m*u(v) + s(v). Let o(y) = -4*y. Give l(o(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -39?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68732 - 16144. List the prime factors of m.\nAnswer: 2, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -982 - -928. Let c(a) = -a**2 - 5*a + 4. Let t be c(-5). Let k be 497\/(-9) + t\/18. Is k smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -3392, 15\/4 in descending order.\nAnswer: 15\/4, 2\/9, -3392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 0)*(-2 - 1 + 5)*(-59*k**2 + 609*k - 609*k) in the form w + y*k + n*k**3 + z*k**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15440 (base 7) in base 12?\nAnswer: -2618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12868 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, k: 5}. Give prob of sequence mkm.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -494 - -908. List the prime factors of y.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13444*o. Let u(i) = -337*i - 433*i + 771*i. Calculate h(u(s)).\nAnswer: 13444*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in ninety-seven halves of a century?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2032021102?\nAnswer: 2032021103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -9*u**2\/2 + 18*u - 1. Let b be s(-8). Suppose 102 = 6*x - b. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*13\/39*5\/2*11067\/13175.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.1191, 3, -0.3 in descending order.\nAnswer: 3, -0.3, -11.1191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.52 + -0.12. Which is the second biggest value? (a) 0 (b) -0.5 (c) j (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 10*s**2 + 11*s - 21. Let b be w(9). Let v(i) = -5*i - 2. What is v(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.5 in 1\/3, -4, 2\/9, -2\/7, 5, 4\/353?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -2\/6739 (c) -4\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -4100?\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*h + 348, 2*z - 4*h - 593 = -3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6 = 4*q + 5, 5*i + 5*q + 10 = 0. Let p(r) = -r**3 + 5*r**3 + 4 + 4*r**2 - i*r**3 - 5*r. Let y be 10*(35\/10)\/(-7). Determine p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 33026 - 33026 + 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2424 by 2.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-1)\/(-8)*-18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 498.5565 millimeters to nanometers.\nAnswer: 498556500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21989, 21990, 21993, 21998, 22005, 22014?\n\"Answer: u**2 - 2*u + 21990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {w: 1, j: 2, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 711, 876, 1103?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19850 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15*f**2 + 54*f - 218. Give v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -3 + 2 - (-7 + 2 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.00404 * -3\nAnswer: -0.01212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -1033?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -775*m**2 + 231*m**5 + m**4 + 1317*m**5 + 133*m**5 - 4 wrt m?\nAnswer: 100860*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*h = 5*j - 12, j - 3*h = 3. Determine b so that 243 - 25*b**3 - 8*b**j + 570*b**2 - 675*b - 47*b**3 - 45*b**4 - 3*b**5 - 10*b**3 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11172 = 367. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3722 = -52866. Let m = 2647 - b. Round m to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.59 - -0.99. Which is the second smallest value? (a) j (b) 2\/7 (c) 2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 + 3*w + 2. Calculate t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 1, r: 3, f: 8, a: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 1 + 5. Let w(y) = y**2 - 6*y + 4. Determine w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and 16049896975?\nAnswer: 16049896975.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((((-40)\/(-2))\/(-10))\/1)\/((-6)\/(-4))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*o + 9 = 34, 4*q - 5*o - 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - s**4 - s**4 + (115*s**4 - 3854 + 3854)*(5 + 35 + 9) to u*s**3 + j + t*s**4 + m*s + q*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 194.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1\/3, -37, -2 in decreasing order.\nAnswer: 1\/3, -2, -14, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 11296?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14305+231094442.8\nAnswer: 231080137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1201 = -16*r + 17*r + 2*l, -1195 = -r - 4*l. Calculate the greatest common factor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 350\/126 - (9 + -6). Let t = 0.47 + -0.15. Which is the second biggest value? (a) k (b) -5\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 13. Let l(c) = 2*c**2 + c - 2. Let q be l(2). What are the prime factors of n(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 81 = -94. Suppose -8*z = c - 291. Calculate the highest common factor of 104 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 282, -1, 40 in increasing order.\nAnswer: -2, -1, 40, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 188, 706, 1564, 2756, 4276?\n\"Answer: -g**3 + 176*g**2 - 3*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 3, k: 2, f: 1, c: 1, p: 5}. What is prob of picking 3 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-nine halves of a kilogram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 28 = 2*p - 0*w, 2*p - 3*w - 24 = 0. Suppose 2*n = -q + 3, 0 = -3*q - 14 - 1. Let i(j) = -n + 7 + 0 + j. What is i(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 100*g**2 + 94*g**2 + 0*g**3 + 16*g - 177*g**2 + 18. What is k(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:23 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0 + 1\/24*a**4 - 1\/6*a**3 - 50*a**2 + 0*a. Let p be (0\/(-2))\/(-3 + 4). Determine m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7173, 14463, 21767, 29085, 36417, 43763, 51123?\n\"Answer: 7*q**2 + 7269*q - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(12\/18))\/((-3)\/(-91)) and 33\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35949, -71710, -107471, -143232, -178993, -214754?\n\"Answer: -35761*p - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 <= 6005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-3 - (-51)\/15). Suppose 18*v - 560 = 11*v. Which is the third biggest value? (a) v (b) t (c) 5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4526 = -7*r - 17*f - 4914, -5*f - 118 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 9, f - 5*f + 222 = -3*y. Let k = 80 + y. Calculate the remainder when 7 is divided by 7\/2 + k\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3593 - -3602. Put 2, -5, 4, k in decreasing order.\nAnswer: k, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/8*(-5586)\/(-1029)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200393 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/30 and (-404)\/(-48)*(18\/(-60))\/1?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -19*k - 27. Let x be l(-15). Suppose i - 5*d + 42 = x, -3*i + 4*d = -659. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/840 + 493*c**5\/420 - 35*c**4\/3 + 326*c**3\/7 - 10741*c**2. Factor f(o).\nAnswer: -(o - 489)*(o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - 20) + -17 + -27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 607*o - 5. Let m be f(-3). Let s = -14631\/8 - m. Calculate the common denominator of (-29)\/2*2\/(-4) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82 - -11?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4773 = -12*t + 423. What are the prime factors of t?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/16 (b) -0.02 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 123 + 208 - 179 - 152.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2238 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -49*m**2 - 58*m + 49. Calculate j(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbbjjnjjjbjbbjbjbj. What is prob of picking 1 j and 1 n?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 6*o**2 + 2*o)*(2 - 3 - 2)*(1 - 3 + 1)*(-132*o - 241*o + 22*o).\nAnswer: 6318*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/162450 and -46\/113715.\nAnswer: 1137150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -44*w + 110. Determine j(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 351 + -81. Suppose -2*x + 292 = 3*z, -3*x + 3*z = -153 - s. Let w be 4\/10 + x\/5. What is the highest common factor of w and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 292680 and 7.17.\nAnswer: 292687.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = i - 5*y, y = 3*i - 2*i - 84. Let l = i + -76. Differentiate -8*w + l*w - 3 - w with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 619490970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + n = 24. Calculate the lowest common multiple of 3 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -728, -727, -726, -725, -724, -723?\n\"Answer: v - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65352, 65447, 65534, 65607, 65660, 65687, 65682?\nAnswer: 65639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406473 is divided by 81133?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, c: 1, w: 4, t: 3, y: 2, a: 5}. What is prob of sequence yt?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50415 + 2.451.\nAnswer: 50417.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Suppose 3*k + 53 = 5*t, 20 = c*k + 2*k. What is the highest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiixixi. Give prob of picking 1 i and 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w + 4*j - 7, -3*j + 15 = 3*w. Let n(v) = v - w*v - 2*v + 4*v. Let b(q) = 7*q**2. Determine b(n(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - 27*o**2 + 3. Let c be p(-9). Let d(h) be the second derivative of 0*h**c + 0 - 1\/12*h**4 - 3*h + h**2. Differentiate d(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*y - 61, 89 = 4*y - 4*z + 13. Suppose f + 5*a - 6 = 0, 3*a - 9 = f - y. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 164 + 1 = 0. Let q(s) = 4 + g*s - 157*s + s**2 + 1. Let i = -14 - -10. Calculate q(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 174.\nAnswer: 173.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 439303*t**3 - 3*t**2 + 47312 wrt t?\nAnswer: 2635818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2675 and 963.\nAnswer: 24075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Let v(s) = s**2 - 3*s - 8. Let p be v(5). Suppose p = i - q*i. What is the second biggest value in i, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) + -1*sqrt(91)*6)))\/sqrt(7) + -5.\nAnswer: -5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*l*n**2*y**2 - 3*l - 519*n**2*y**2 - 4*n**2*y wrt l.\nAnswer: -86*n**2*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -9*n + 44. Suppose 0 = 4*d + n - 3. Which is bigger: -5\/3 or d?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 19. Let c = 35 + -50. Let d be v(c). Solve -4*g - 2 = -3*w + 16, d = 4*w - g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*477\/(-106)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1593, 0, 81\/4, -0.1 in ascending order.\nAnswer: -0.1593, -0.1, 0, 81\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.88 + -12.88. Which is the closest to -0.04? (a) v (b) -4 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 6*s + 9. Let q(m) = m**2 + 28*m + 55. Let p be q(-26). Let x be a(p). Let u(n) = n**3 + n + 6. Determine u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w - 2. Let n(r) = -21*r + 11. Let o = -32 + 21. Let c = 60 - 56. Suppose -c*m - 22 + 14 = 0. Determine m*n(b) + o*f(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26156 <= 26153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from wemmy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/239 + 231\/956. What is the closest to 0.3 in 1, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/88331, 4, 2330, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 3*v**2 - 2*v - 5. Let d be b(4). Suppose -d*o = -16 - 23. Let t(s) = 3*s + 1. Calculate the remainder when o is divided by t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*i - 3. Let g = i - -2. Let k = -1\/32 + -7\/32. Which is the closest to k? (a) 3\/2 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216629, -433086, -649543, -866000?\nAnswer: -1082457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 44 + (-636 - -702) + 1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 3\/6*-14. Let u = j + 12. Solve u*v + 4 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 25*a + 1344 = 0. What is the greatest common divisor of 238 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1527000 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 102509782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 5809*w - 1476*w - 1073*w - 1371*w.\nAnswer: w**2 + 1889*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 - 3 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396434 is divided by 599101?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + -4 + (-122 - -119)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*t + 2*m, 6*t - 3*t - 4*m = -35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h + 231*h + 7609 + 17273 = -99*h for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-3)*(2 + -3). Let g be h\/3 - (-32)\/3. Is 4\/g + 549\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/8 - 203*r**3\/2 - 31545*r**2\/2 + 2024512*r - 18565120 = 0. Calculate r.\nAnswer: -448, 10, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 3, j: 1, b: 1, n: 1}. What is prob of picking 1 s and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 - -99. Let h be (z*-6)\/((-3)\/(-9)*-2). Suppose 33 + h = 3*i. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175073 is divided by 423.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/4))**(-17)\/((m*m**8)\/(m**(-1\/11)*m)) assuming m is positive.\nAnswer: m**(-1291\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008)*-1 + 1)**2 - (-1 + sqrt(1008)*-1)**2.\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*h - 2 = 0, 0 = 3*a - 27*h + 30*h + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000168794632 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3 - 185069*u**2 - 3515998*u - 8882400 = 0.\nAnswer: -185050, -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 82?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, -2, -2.3 in increasing order.\nAnswer: -2.3, -2, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 661191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 1, -3, -7, -2 in ascending order.\nAnswer: -17, -7, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 + 104 + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwj when three letters picked without replacement from wmvjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:00 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -122022 (base 3) to base 15\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 10000011000?\nAnswer: -10000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:08 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -5.54, -0.15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 10:31 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(1 + -3 - (-5 - -4)). Let j(v) = -4 + v + 0*v + 2*v - 4*v. What is j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-5 + sqrt(180) + sqrt(180) + sqrt(180) + 1 + sqrt(180) - sqrt(180)) + sqrt(180) + sqrt(180)) + -4 + -1*2*sqrt(180))**2.\nAnswer: -288*sqrt(5) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 706606.\nAnswer: 2\/353303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)*m)\/m**(2\/19))**(1\/69)*(m**4*(m**1*m)\/m)**32 assuming m is positive.\nAnswer: m**(629312\/3933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(2 + 0). Let m be 0 - r*(-4 - -6). Solve o - m*z = 10, -7*o - 2*z = -3*o - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/8)\/((-731)\/129).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22234*s - 22299*s + 66755*s - 22219*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(16)\/(sqrt(16)\/sqrt(4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2015.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 12. Let b = d - -12. Solve b*x = -x - 3*g - 18, -3*g - 10 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7b12 (base 12) to base 13\nAnswer: -6305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 - 911*f - 2668*f.\nAnswer: -3579*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11616 and -26.5?\nAnswer: 11589.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/((-5)\/(-30)). Let g = n - 7. What is the third derivative of g*p**3 - 2*p**2 + p**2 + 2*p**2 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -6. Let x(c) = 4*c**2 + 35*c - 7. Let d be x(-9). Let z = a - d. Sort 0, 4, z.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-22)\/(-4))\/((-9)\/54). Suppose 0 = 2*i + 48 + 18. Are i and d unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*g = -4394, -q = g - 1452 - 14. Round q to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1306, -2613, -3920, -5227, -6534?\nAnswer: -7841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1802 divided by 963?\nAnswer: -1802\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -69. Suppose -5*o = -12 + b. Is 2862 + o + 9 + -7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 39 = 7*q + n, -4*q + 177 = -3*n. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*p + 0*p - 135 = 0, 4*p = -5*w + 226. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -bba34c8?\nAnswer: -bba34bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51207415.\nAnswer: 5, 7, 263, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2634748271 + 3?\nAnswer: -2634748267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 612763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 2, i: 8}. What is prob of sequence iq?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(2*n**5 - 11*n**2 + 11*n**2 + 2*n**5 - 2*n + 2*n + 2*n**5 - 4*n**4 + 4*n**4 + (-2 + 2 + n)*(5*n**4 - 4*n**4 + 0*n**4)).\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = -102. Let m be (-6)\/(12\/l) + (3 - 0). Suppose 5*i + 5*p - m = 0, 3*i - 3*p - 24 = -2*p. Calculate the greatest common factor of i and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -25, -72, -139?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8342 divided by 97?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*y + 31 + 67, 4*k - 86 = -2*y. Suppose z = -2*z + y. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 5*o + 12*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 156\/27 - 10\/(-45). Let u be (-1 + 2)\/(2\/k). Solve x + u*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 7*q + 3. Let i be 2*3 + (-12)\/4 + 1. Suppose 42 = -2*t - i*t. Let p be f(t). Solve 4*x + 1 = p*x, 0 = -5*j + 4*x + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-12 + 31 - 12).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2*3\/2. Let l(h) be the third derivative of -11*h**4\/24 + 7*h**3\/6 - 105*h**2. Is l(f) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + -6 + -1 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 593207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 2403*w**3 + 28712*w**2 - 47820*w.\nAnswer: w*(w - 2391)*(w - 10)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 30. Let s = -21 - -29. What is the smallest common multiple of n and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 598611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = 4*h. What is the remainder when 11 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 99*g**2 - 175*g + 17332. Give s(99).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 not equal to -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {y: 4, b: 1, i: 2, k: 4, w: 3, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o + 4*o + 2*o + (3 + 6 - 1)*(2*o + 9*o - 2*o) - 2*o - 5 + 5 + (3 + 0 - 5)*(-2*o - o + o).\nAnswer: 75*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.65 - -0.3.\nAnswer: -22.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 92?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -345, -619, -893, -1167, -1441, -1715?\n\"Answer: -274*w - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9472204.6 rounded to the nearest one thousand?\nAnswer: 9472000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092312 divided by -60684?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194531, 388963, 583395, 777827?\nAnswer: 972259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u + u**2 + 5*u + 6*u - 1. Let g(c) = -2*c**2 + 2*c + 4. What is -g(f) - 3*l(f)?\nAnswer: -f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44824\/234 + (-12)\/(-27). Calculate the highest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88605310 a multiple of 1982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**3*r**2 - 14994*n**3*r - 4*n**3 + 239*n**2 + 328*n*r**2 + r**2 + 3 wrt n?\nAnswer: -24*r**2 - 89964*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -488?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.33 (b) 177.14 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 20. Suppose 4*v - 60 = x*b, v + 5*b = -8 - 0. Let i = 9 - v. Let n(t) = t**3 + 2*t**2 - 5*t - 4. What is n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 o when three letters picked without replacement from {k: 1, o: 9, f: 4, q: 2}?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4\/3 - 13*j**3\/3 + 58*j**2\/3 - 36*j + 24 = 0.\nAnswer: 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 182, -2 in decreasing order.\nAnswer: 182, 12, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:44 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -9319.4?\nAnswer: 55916.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*(sqrt(77) - (1*sqrt(77) - sqrt(77)) - sqrt(77)))\/((5*sqrt(196)\/sqrt(4) - sqrt(49))\/sqrt(7))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -428\/225 in -0.2, 1, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (95\/25 - 4) + (-44)\/(-20). Solve 12 = h*u - 3*p, -4*p + 4 = -u + 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 - 17 = 0. Let o be (6 - -2)*x\/4. What is the remainder when 17 is divided by (-162)\/o*2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 703425, 703438, 703465, 703512, 703585?\n\"Answer: i**3 + i**2 + 3*i + 703420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24028648 is divided by 255?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 9*g**2 - g + 8. List the prime factors of k(-10).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 6. Let t be a(3). Let h = t + -1. Solve -h = 2*m + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*k - 593 = -2363, 0 = 2*p + 2*k - 1780. Let g = p - -19. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 3088.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t + 58*t = -1643 - 1486 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2 = 6*u - 200, 3*u - 95 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l + 4. Let d be z(0). Suppose 0 = -c + d, f - 26 = -f - 4*c. Suppose -9*k + 4*k + 15 = 0. Calculate the least common multiple of k and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5617.1 + 5617. What is the second biggest value in 0.12, w, 1, 2\/17?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -113*j - 821. What is f(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(3 - 0)*0. Suppose i = 4*u - 2*u. Let d be -8 + (1 - u)*3. Let o(q) = 7*q + 1. Let n(w) = 6*w + 1. What is d*o(p) + 6*n(p)?\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j - 22 = -2*h, -3*h - 11 = 5*j. Let a(n) be the third derivative of 1\/3*n**h + 1\/6*n**4 + 2*n**2 + 1\/30*n**5 + 0 + 0*n. Factor a(v).\nAnswer: 2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -92115570356 and -6.\nAnswer: -92115570362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + 2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**5 - 20*b**5 - 2*b**5)*(0 - 1 + 3).\nAnswer: -50*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3307*w**2 - 3*w - 2516*w**2 + 3*w in the form h + k*w + z*w**2 and give z.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 28 = -5*z, -2*v + 3*z = 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*w**2 - 3 + 2 + 15*w + 86*w**2 as j + k*w + p*w**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r**3 + 71*r + 0*r**2 + 45\/2*r**4 - 4. Differentiate a(n) wrt n.\nAnswer: 270*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 + 11*u - 31. Calculate a(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -49 - (67 - 72)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 15*x + 31. Let k = 26 - 39. Let c be w(k). Let q = 5 + -5.1. What is the smallest value in c, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (22 + -10 - (-4 + 4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 21*a**2 + 24*a**3 + 0 - 20*a**3 + 3 - 9*a**2 to the form d*a**3 + z*a**2 + r + l*a and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -34*u + 1. Let m be l(-1). Let s = 51 - m. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -46 - 9. Let q(s) = -88*s**3 + s**2 - 1. Let k be q(-1). What is the highest common factor of k and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -17, -4, 0.574, -70\/3 in ascending order.\nAnswer: -70\/3, -17, -4, -0.1, 0.574","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:26 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.9072714 plus -0.1461?\nAnswer: -88.0533714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 + 0 = 0, 5*t + 4*n = 117. Calculate the greatest common factor of 63 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 1. Let n(g) = -9. Let j(f) = -n(f) + 9*s(f). Let y(k) be the third derivative of k**4\/8 - 3*k**2 - 8*k. Calculate j(y(l)).\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 6*q**2 - 2*q + 7. Suppose 2*r + n + 6 = -8, 0 = -r + n - 1. Let c be g(r). Let w = -5 - c. Solve 0 = w*i - 3, 0 = a - 4*i + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422773461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 1\/150, 28\/11, -5, 4\/3?\nAnswer: 1\/150","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 4*h - 2605. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2145 (base 13) to base 6.\nAnswer: -33220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from gmgmddmgdhdhdhaht.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + 212\/1288. Let w = 1\/46 - v. Which is the closest to -0.1? (a) 4 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-20 + (13 - (5 - -3)) - -7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 29. Which is smaller: w or -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d**(2\/15)\/d)**25 assuming d is positive.\nAnswer: d**(-740\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 10) to base 12\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921*g + 851*g - 210 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1524, -1543, -1524, -1461, -1348, -1179?\n\"Answer: v**3 + 13*v**2 - 65*v - 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3\/3 + k**2\/2 - 14298. Let v be (-9)\/((-9)\/30 + 0). Let t(i) = -5*i**3 + 30*i**2 - 30*i. What is v*n(s) + t(s)?\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t*t*t**2)\/(t\/((t\/t**4)\/t)*t*t**(2\/15)*t))\/((t**(-2)*t**(1\/6))\/(t\/(t*t\/t**(2\/7)))**(-25)) assuming t is positive.\nAnswer: t**(1299\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b - 2*b + (1 + 2 - 6)*(2*b - 6*b + b) + b - b - 2*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:58 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -12002?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 3*b + 0*b)*(5*b + 2*b - 5*b) + 0*b**2 + 2*b**2 - 3*b**2 - 5*b**2 + 4*b**2 - b**2 + (2*b + 3*b - 4*b)*(-b - 1 + 1) to t + s*b + a*b**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001276864 to six dps.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + k + 5*k)*(2 - 3 + 0) - 4*k + 2*k + k + 5 + k - 5 - 49 + 75*k + 49 + k - 16*k + 2*k + (k + 3*k - 5*k)*(-2 + 0 + 1) to f*k + i and give f.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 8*c - 12. Let d be n(10). Suppose -5*h + 59 = 3*f, -h = h - 4*f - d. Solve u - 4*j + 5 = 0, 0*u - 2*j = 2*u - h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/27 and -145\/852.\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2713.8 (b) 4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 114*q**2 + 2642*q - 56859. What is c(92)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:50 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/41 and -3\/8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27 = 3*b, d + 38 = 4*d + 4*b. Let g(u) = -3*u + 8*u - 2 - 4 + 2. Let f(h) = -h + 5. Let r be f(4). Let w(x) = -x + 1. Give d*w(l) + r*g(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 443 = -5*h, 5*h + 107 = t - 0*h. Calculate the greatest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22210390.\nAnswer: 2, 5, 199, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754\/10575 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 1 (c) -0.5 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**(-1\/3))\/l))\/l)\/(l**4*l)*l**(2\/21)\/((l\/(l**0\/l))\/l))\/((l**0)**0*(l*l\/(l\/(l\/l**1)))\/((l*l**(-3\/2))\/l)) assuming l is positive.\nAnswer: l**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 67864081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/31)*o)**(5\/6)\/((((o*o**46*o)\/o)\/o)\/(o**(4\/7)\/o)) assuming o is positive.\nAnswer: o**(-9725\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175572589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + 1 - ((21 - 5 - (3 - -20)) + 22).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(42)\/(5*sqrt(6)*2).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 4*z - 9. Let k be j(-6). Let u be (3\/3)\/(k - 2). Suppose 5*o - 4 - u = 0. Calculate the remainder when 1 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116640 - 74511. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 352*d**3 - 687*d**3 + 409*d**3 + (d - 2*d + 3*d)*(2*d**2 - 2*d + 2*d) + 2*d**3 - 3 + 3 + 2*d**3 - d**2 - 3*d**3 - d**3.\nAnswer: 78*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + -9.18. Let l = s - -18. Is l greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 163\/5. Is 6 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, z: 1, h: 6, r: 3}. What is prob of sequence zhhr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 9, 1\/6, -5\/9, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2550*y - 92 = -2458*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655142880 and 1168.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -8400408?\nAnswer: 25\/8400408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-2 - sqrt(245))**2 - (sqrt(45)\/(sqrt(18)\/sqrt(2)))**2) + sqrt(30)\/(-2*sqrt(6)*-3) + -5.\nAnswer: sqrt(5)\/6 + 2195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 a factor of 10971543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 787 + -791. Let q be (320\/84 + z)*-3. Factor -10\/7*l**2 - q*l**3 + 0 - 4\/7*l.\nAnswer: -2*l*(l + 2)*(2*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 3*u + 7. Calculate p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 753, 1516, 2279, 3042, 3805, 4568?\nAnswer: 5331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 67, 100, 133, 166?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1010?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 433176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 45*l**5 - 13*l**2\/2 - 3*l + 256. What is the second derivative of r(k) wrt k?\nAnswer: 2700*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -242, -602, -1118, -1790, -2618, -3602?\nAnswer: -4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 5*z**2 - 5*z + 10. Is t(-5) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1249 (c) 12 (d) 4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 1.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -37*c - 6. Let s be n(-3). Let d = s + -102. Solve d + 1 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 158.384268 nanoseconds?\nAnswer: 0.00000000000026187875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10592 divided by 5.\nAnswer: -10592\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-3*d + 0*d - d) - 38 + 20 - 71 + 1 - 2*d.\nAnswer: -14*d - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 17 + 3. Let h(r) = -2*r**2 + 17*r + 9. Let b(g) = -g**2 + 8*g + 5. Let z(t) = -5*b(t) + 2*h(t). Let j be z(7). Sort -3, j, p in descending order.\nAnswer: p, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801722*0.06.\nAnswer: -48103.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*j - 2*n + 393, 0 = -4*j + 4*n - 300. Let h = -257 + j. What is the common denominator of -83\/10 and h\/(-45) + (0 - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14104832 divided by 220388?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -4\/58111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 3*q - 351. Calculate i(-12).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t = 8. Suppose -3*k - 10 = 4*j, j + 0*k = -t*k. Calculate the common denominator of -3 - ((-183)\/(-18) + j) and 19\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1360101589 - 1360101589 + 14*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**7\/231 + s**6\/15 - 43*s**5\/110 + 73*s**4\/66 - 56*s**3\/33 + 16*s**2\/11 + 27*s. Suppose o(h) = 0. What is h?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/17)*a)\/a*a*a\/a**(3\/5)*a**13*a**(-4\/5) assuming a is positive.\nAnswer: a**(1141\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-498020)\/500)\/(-37) + -27.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 8. Let j be g(10). Suppose 0 = 3*l + j*l - 25. Solve -v + 0 = l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - n - 19, -n + 309 - 338 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351916567?\nAnswer: 3, 7, 11, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 824926, 824929, 824932, 824935?\nAnswer: 824938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 1991.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 9*f + 7. Let k be d(-5). Solve k = -3*x - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 11*n + 10. Let t(i) = i**3 + 9*i**2 + 2*i + 14. Let c be t(-9). Let r be k(c). Put 2, r, 5 in ascending order.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344604559 + -78?\nAnswer: -3344604637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110111?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 18*n - 2*n**3 + 7 + 31*n - 12*n to y*n**3 + o + a*n + j*n**2 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + h = -3, h - 866 = 3*w - 873 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82621017 and 3842838.\nAnswer: 165242034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 12. Let d be (-1)\/(m\/78*(-6)\/4). Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m - 14*m - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 2*h - 4*h - 2*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*o + 3*o. Let u be 2\/2 + o\/4. Solve n - 2*r + 2 = -2*n, -r = -u*n - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/18*(-2)\/4. Sort -4\/9, z, -2\/7 in descending order.\nAnswer: z, -2\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2736) + -1)**2.\nAnswer: -120*sqrt(19) + 13685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o + 5 - 5)*(-110 + 69 + 460) to the form u*o + t and give u.\nAnswer: 2095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/4 - 9213*l**2 + 36849*l - 36848 = 0.\nAnswer: 2, 36848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14101 - -15895. What is the third biggest value in 2, v, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/12 + g**3\/2 - 5*g**2. What are the prime factors of y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from veqqqqqqqwqevvvqvgeq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 3901*d**2 - 3*d - 3897*d**2 - 22 in the form j + h*d**2 + r*d and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 1.5. Let g = -494.5 - -495. Sort -2\/3, g, -5, s in decreasing order.\nAnswer: s, g, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/2))**(40\/9) assuming t is positive.\nAnswer: t**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23693 - 22094. What is the remainder when c is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - y = 99, -2*y - 5 = 1. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 7.93.\nAnswer: 39.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 346.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2844, 2789, 2734, 2679, 2624, 2569?\n\"Answer: -55*g + 2899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -1 + 5. Let z = 17777 - 17776.9. Which is the smallest value? (a) h (b) z (c) 1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 11058.44 centimeters?\nAnswer: 0.1105844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47584 + 7?\nAnswer: 47602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 14\/3*i**3 - 1\/120*i**6 + 0*i**5 + 0*i**4 + 0 + 0*i - 30*i**2. What is the first derivative of l(s) wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 6*o - 17. Let q be f(-4). Suppose 570 = 4*z + 282. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 38. Let g = -0.85 + 0.85. Let n = -4.8 + 4.9. What is the nearest to i in n, g, -1\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493957311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 22. Let l = 3.7 - 4. Which is the second biggest value? (a) m (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 2*x - x. Let f(l) be the third derivative of 1\/24*l**4 + 0*l + 93*l**2 - 7\/30*l**5 + 0 + 0*l**3. What is f(m(i))?\nAnswer: -56*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - j**2 - 1 - 7*j)*(-3*j**3 - 5*j**3 + 6*j**3).\nAnswer: 2*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 + -97.2. Let y = -293 - -292.7. What is the second biggest value in 13\/6, 0.2, y, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 2, -9\/118?\nAnswer: -9\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 l when four letters picked without replacement from llljljlljllllll?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/7 - (-10)\/14. Let w = 0.2365 + -0.2365. Sort w, -7.9, y.\nAnswer: -7.9, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 436*x - 102*x - 58*x - 115.\nAnswer: -596*x + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11090751 divided by -2.\nAnswer: -11090751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(6\/5)*q*q))\/(q**2\/q*q) assuming q is positive.\nAnswer: q**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 416133*u\/2 - 5825911\/4.\nAnswer: (u - 7)*(u + 832273)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*r - 15 = 2*r, 5*y + 3*r = 36. What is the second derivative of 7*d**5 + 3*d**4 + y*d - 7*d**4 + 4*d**4 wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 476.7736 meters?\nAnswer: 47677.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424260 and 4980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((650\/(-39)*-3)\/(-28))\/((-19)\/(1330\/(-20)))?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 23 - 3 = 0. Suppose -3*o = -k + 11, 3*o + 9 = -0*k + 3*k. Sort u, o, 0 in ascending order.\nAnswer: o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-10)*s\/(s*s**(-21)\/s))\/(s*s**(-10)*s**26))**(10\/9) assuming s is positive.\nAnswer: s**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91949 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81 - (-44 + 144)) + (-1 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2)\/(sqrt(196)*1).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65) + sqrt(65) + (sqrt(65) - 1*sqrt(65) - sqrt(65))*3)) + sqrt(65))\/(sqrt(90)\/sqrt(2)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (8 - 11 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5141776)\/240 + ((-8)\/(-6))\/(-4). Let x = o - -21317. Let y = 107 + x. Which is the nearest to y? (a) 0.5 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Suppose -w = n + 28, w = 2*w + 4*n + 28. Let q = w + 27. Which is the closest to k? (a) q (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -54 + -67 + -4.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 5*p**2 - 4*p**2. Let u(j) be the first derivative of j**3\/6 + j + 2. Let a(t) be the first derivative of u(t). What is m(a(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1796, -3499, -5194, -6875, -8536, -10171, -11774, -13339?\nAnswer: -14860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*j - 457*d + 29*j wrt j.\nAnswer: d + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -339488971*c - 21587060 wrt c?\nAnswer: -339488971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 131*g + 37. Let o be u(-33). Solve 16 = 3*d + o*r, 5*d - 2*r + 4 = -r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoad when four letters picked without replacement from aladdox?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -0*w - 2*w, 4*g - 3*w - 49 - 6 = -1 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138215.4414 - -138077.4413278. Let u = w + 138. Round u to 6 dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.9 - 22683847.\nAnswer: -22683826.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6855ba0 + -5?\nAnswer: -6855ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 15416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7982*m**2 + 9168*m**2 + 16810*m**2.\nAnswer: 17996*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - 44 - -21 - -18.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -67\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293909 divided by 4.\nAnswer: -293909\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 80\/(-45) - (-202)\/18. Let d = h - -23. Calculate the remainder when 135 is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 0. Suppose 0 = -o*j - 319 + 307. Let v(k) = 9*k + 23. Let q(r) = 5*r + 12. Give j*v(i) + 11*q(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 0.4, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2, 25 = -10*s + 15*s + 5*i. Suppose -5*m + 61 = 3*u - 0*m, -9 = -2*u + 3*m. Solve s*p + 3 = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17961077*v**5 + 3803802*v.\nAnswer: -359221540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i + 4. What is the nearest to 6\/11 in 0.4, 4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0329297 to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 14 = -4*i, -5*a + 3*i + 9 = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-50))\/((-138)\/(-253)*561\/(-85)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085*g + 1250 = -1135*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 10 + 8. What is the third derivative of 2*u + 46*u**2 - 212*u**3 - g*u + 130*u**3 wrt u?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/7 + -589\/1358. Let n = t + 587\/970. Let w = -21020\/31 + 678. Sort -0.2, n, w in increasing order.\nAnswer: -0.2, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 42. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*g + 222, 9*g - 7*g = -4*s + 176. What is the highest common factor of s and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 3*r + 9. Suppose 16 = -4*o - 4*m, -3*o + m + 3 = -m. Let x be 2\/o + 1*-6. Is d(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*t + p, 5*t + p = -13. What is the third biggest value in 0.4, -10\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 35 = -2*b. Suppose -2*o - 1 = -b. Suppose r + r = o*f - 12, -4*f + 2 = 2*r. Solve -f*j + 6 = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Which is the second biggest value? (a) 2 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, i: 3}. Give prob of picking 2 i and 2 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 1 (c) 14\/11 (d) -310 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/8 - 2883453*z\/2.\nAnswer: 3*z*(z - 3844604)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3 + 1 + 0 + o**2 + 2*o**2 - 2*o. Let g(v) be the first derivative of -v**3\/3 + v**2\/2 + v - 1. Calculate 2*g(f) + k(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1232 - -1330. Solve -5*c = 123 - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 18. Let s be o\/55*(1 + 757). Let t = 68\/5 - s. Put t, 4, 5\/4 in ascending order.\nAnswer: t, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -26.3, -4, -497?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1573) + sqrt(1573) + 0 + (sqrt(1573) + sqrt(1573)*-2 - sqrt(1573))))**2 + (6*(sqrt(130) - (sqrt(130) + sqrt(130)*-1)))\/(sqrt(640)*2).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 6*t - 3. Let m be v(-5). Let f = m - -9. Suppose f + 4 = 5*h. Solve 0 = h*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.8 - -3.8. Let b = 4 - 6. Let n be (-184)\/(-56) - (-6)\/b. What is the nearest to n in 5, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 2*r + 38. Let v be x(7). Which is the nearest to -0.3? (a) -0.07 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1613.19 - 11.048.\nAnswer: -1624.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1606 + -1602. Suppose d - g*d = -3. Suppose 0 = -2*v + 6 + 10. Sort 3, v, d in increasing order.\nAnswer: d, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 161 = 3*z + 183, -5*z - 4*c = -25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0.637, -31, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 994905643 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 r be -2 - (0 - (8 + -2 - -1)). Let t = 1.3 + -1.1. Let g be 1\/(-4)*2 + 1. Which is the second biggest value? (a) r (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1481)\/((-3)\/(-12) + 0). Let m be (-1)\/((-2961)\/g) - -2. Let k = m + -6247\/5922. Calculate the common denominator of k and -91\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 99368 - 200107 + 100742.\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103509199 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*u - 12. Suppose 3*f - 2 + 5 = 5*t, -5*f = -4*t - 8. Suppose 48 = t*r + 4*c + u, 2*r - 9 = c. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 11*r**2 - 8*r + 9. Determine n(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2091 = n - o, 4*n - o = 2267 + 6088. Let u = -1404 + n. Is 76 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/336)\/(20\/80). Which is the third smallest value? (a) 1 (b) 3 (c) m (d) -3 (e) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2342*17.2.\nAnswer: -40282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12288 and 49152.\nAnswer: 49152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zum when three letters picked without replacement from {e: 2, q: 1, u: 1, y: 1, m: 1, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1041*x = -1032*x - 4230. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -22. Suppose 33 = 18*q - 453. Calculate the greatest common factor of q and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**34\/x**(-2\/69) assuming x is positive.\nAnswer: x**(2348\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1. Let j(k) = -4*k - 18. Let b(v) = -j(v) - 3*o(v). Differentiate b(s) with respect to s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q**3 + 188120*q**2 + 3*q + 134181 wrt q?\nAnswer: -42*q + 376240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*r, -2*r = -2*w + 5 - 15. What is the third smallest value in 5, 71, w, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*y + 296, 0*y - y = -3*b - 67. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 3*t**2 - 9*t + 23. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17606064 divided by -36078\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-5) - (0 - 2). Let s(w) = -w**3 + w**2 - 85. Let n be s(y). Let v be 1\/(-5) + (-27)\/n. Which is the biggest value? (a) 0.1 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(5\/8))\/(b\/(b\/b**(-12)))*b*b**(-12)*b**1 assuming b is positive.\nAnswer: b**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n**2 - 31*n**2 - 12*n**2 + (55 - 55 + 11*n)*(3*n - 3*n - n) to u*n**2 + r*n + x and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 29*f - 67*f + 20*f - 173 = -22*f, 2*f - 85 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*1)\/(3\/(-3)). Let j(n) = 2*n - 7. Let p be j(6). Suppose 4*c = 4*z - 16, 2*z = 4*c - z + 11. Sort s, c, p in increasing order.\nAnswer: s, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**3 + 0 + 2*m**2 + 1 + m**2 as j + l*m**3 + b*m**2 + c*m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322282790 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, -4, 4, 6, 231, -2 in descending order.\nAnswer: 231, 6, 4, -2, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78225674669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.49 + 76. Is p bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/8 - (1323\/72)\/(-21). What is the nearest to 0.5 in -1, 0.2, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25\/6, 2\/17, 13, 1\/17 in descending order.\nAnswer: 13, 5, 25\/6, 2\/17, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -1, -2*d + 4 = 2*c. Let m be (-2 - -2)\/d - -2. Solve -m*v - 2*v = -12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbojrrbooooj. Give prob of picking 2 b and 2 j.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10545659.\nAnswer: 10545659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*d*f**2 - d*f + 2*d + 2*f**5 - f**2 - 28*f wrt f.\nAnswer: -104*d + 40*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 5*z - 3. Let w be s(-3). Suppose -w*u - 366 = -6*u. Does 37 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 4*o + 10. Let i(u) be the second derivative of -u**4\/3 + 7*u**3\/6 + 19*u**2\/2 - 9*u. Give 11*a(z) - 6*i(z).\nAnswer: 2*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u + 243766 = -27*u - 349834. What is u rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -30*i. Let b(w) = -9*w**2 + 5 - 23 + 18. What is b(f(c))?\nAnswer: -8100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, b: 3, g: 1}. Give prob of sequence bbg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s + 150. Let b = 397 + -360. Let j be r(b). Solve j*k = 2 - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2276682*p - 2276677*p - 2276691*p + 6830045*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2319, 2227, 2135, 2043, 1951, 1859?\n\"Answer: -92*j + 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -119. Let c(m) = -m**2 + 4*m. Let t be c(3). Suppose t = g*k - 4*k. Solve -3*j + 3 = x, -k*x - 4*j + 23 = -8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 60*z**2 + 505*z**2 - z + 432*z**2 - 439*z**2 - 2055*z**2 in the form w*z**2 + u*z + a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {p: 3, v: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-264)*(1 - 5)\/2. Which is the third smallest value? (a) v (b) -1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -12dbb?\nAnswer: -12dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 393*u**2 - 11879*u + 226. What is f(-360)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -248\/563 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -0. Let y be 4302 + 2*z\/2. Round y to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*o**2 + 177 - 84 - 10*o - 91 as s + r*o + y*o**2 and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 567 - 565. Is j\/4 + (-2035)\/(-10) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 127*l**3 - 14*l**2 + 25*l - 14. Let k(p) = -85*p**3 + 10*p**2 - 17*p + 10. Calculate -5*i(s) - 7*k(s).\nAnswer: -40*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 27, -569, 3, 4 in decreasing order.\nAnswer: 27, 4, 3, -4, -5, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.28, -23.4, -0.4, -3, 15?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 - 439*z + 1925. Calculate p(-92).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 - 7*b - 1312*b**4 + 1352*b**4 + 2*b**3 wrt b.\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 531*a**3 + 7*a**2 - 9*a**3 - 6*a**2 to y*a + l*a**3 + k + b*a**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 8. Let f(n) = n**2 - 7. Does 9 divide f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let o(j) = 5*j - 17. Give 4*g(r) - o(r).\nAnswer: -r + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5 and 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:56 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10011211211 (base 3) to base 16\nAnswer: -f475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 8, 1\/15, -1\/2, -59?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-3) + 2)\/((-34)\/11322*-111)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -663*((-298)\/12)\/(33\/132)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1848 and 6732.\nAnswer: 94248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -63*s**5 - 569*s**3\/3 + 740. Find the third derivative of i(m) wrt m.\nAnswer: -7560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 divided by -7?\nAnswer: 401\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 - -1) + -22 - 4) + 15 - (-41 - -5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 109*w**2 + 54*w - 58. Let q be n(-55). Sort 9, q, -2 in decreasing order.\nAnswer: 9, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -174*r - 9364. Determine p(-51).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/711 - -3539\/11376. Let a = -23\/432 + p. What is the common denominator of -13\/24 and a?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3117655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m + 4*m - 6*m)*(0 - 3*m**4 + 0) - 4*m**5 - m**5 + 3*m**5)*(-5 + 6 + 6).\nAnswer: -35*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(56)\/(-1*sqrt(343)))**2.\nAnswer: 288\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -2. What is the first derivative of 13 + 10 - c - 6*x**4 wrt x?\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3\/2 - 1041*r**2\/2 + 4092*r - 8136 = 0?\nAnswer: 4, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 842\/1749?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.114 - 11.114. What is the closest to 4\/3 in -0.1, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/(-16))\/(-3)*-4. Let q be (4 - b - -2)\/(-1). Let l(d) = -d + 3. Let f(t) = -2*t + 3. What is q*l(h) + 2*f(h)?\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185066760 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 + -377.07. Which is the second smallest value? (a) -1\/3 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*c**2 + 17*c**2 + 140*c**2 - 1123*c + 12*c**2 to l*c**2 + a*c + o and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**39*h**(1\/26))**22 assuming h is positive.\nAnswer: h**(11165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c, c = -5*q - 3*c. Suppose q = -16*h + 8980 + 19996. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.47. Let y = n - 0.23. Which is the closest to 1\/3? (a) -5 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, 96, -0.1, -10, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 7. Let c be t(9). Suppose c = 3*b + 11. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 56 = -14*z. What is the closest to 2 in z, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/32740 and 29\/440353.\nAnswer: 8807060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 134, 58, -8.\nAnswer: -8, -5, 5, 58, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-58 - -57) + 5 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/220 + (-10)\/110.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -51*-4.15\nAnswer: 211.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -90, 2, 4 in increasing order.\nAnswer: -90, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 15*w - 18 = 0. Suppose 67 = -w*f + 2*j - 18, 0 = -4*f + 3*j - 114. Let q = f + 38. Calculate the lowest common multiple of 4 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**3*u - 327*k**3 - 2*k**2*u - 1650*k*u wrt u.\nAnswer: 3*k**3 - 2*k**2 - 1650*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*h - 18 + 18 + 6*h - 39*h.\nAnswer: 134*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44635 a multiple of 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-56)*2023\/(-1734)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, -0.7, -54?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182064*i - 181376*i + 362537*i.\nAnswer: -903*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:22 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*a + 3*v, 2*v = -3*a - 0*v + 40. Calculate the remainder when -1*12*(-8)\/a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2475.02928?\nAnswer: 2479.02928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-2)\/((-4)\/8*4). Put 0, -3, -1, p in ascending order.\nAnswer: -3, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 343 - -6735?\nAnswer: 6a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/90 - 31*p**4\/54 + 274*p**3\/27 + 304*p**2\/9 - 2*p - 221. Let r(l) = 0. What is l?\nAnswer: -38, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 216*v**5 - 93*v**5 - 90*v**5 + ((-2*v**3 + v**3 - v**3)*(v - v + 2*v) - 2*v**4 - 2*v + 2*v)*(-3*v + 2*v + 2*v).\nAnswer: 27*v**5 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 3)*-3 - -6. Suppose 4*j + 0*j - 120 = 0. Calculate the common denominator of n\/(-6) + (-65)\/(-20) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -2 (c) -8\/5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 17. Let i be 2319\/2*1\/v. Let k = i + -188. What is the common denominator of k and -65\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 994.665 * -3\nAnswer: -2983.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 20*f + 0*f = -5*f - 220, -f - 272 = -269 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/114 and 11 - (-80906)\/37240*-5.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/30*(89 - 84).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9453750.\nAnswer: 2, 3, 5, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -7c001?\nAnswer: -7c001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38352 divided by 16.\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-45)\/12)\/(525\/1680).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8*j - 160. Let k be (1 + -1)\/(4\/4). Find the common denominator of (-214)\/j - (0 - k) and -7\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5887, -11619, -17199, -22627, -27903, -33027?\nAnswer: -37999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 16*b + 0*b**2 + 0 - 2\/3*b**3. Let n(c) = 2*c. What is f(n(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 87\/5*q + 288\/5 - 3\/5*q**2 = 0.\nAnswer: -3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 - 14\/18. Let t be i + 11 + -1 + 1. Suppose w - 17 = -0*w - 2*b, 2*w - t = 2*b. Calculate the greatest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 - 2*c**2 + 3*c**2)*(0*c - 3*c + 5*c) + 21*c + c**3 - 21*c + 2*c**2)*(14*c**2 + 24*c**2 - 48*c**2).\nAnswer: 10*c**5 - 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let u(p) be the second derivative of 29*p**4\/12 - 177*p. What is u(o(y))?\nAnswer: 29*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/36)\/(-1)*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 53\/252*q**4 + 2\/315*q**5 + 13\/63*q**3 + 0*q + 0 - 59*q**2. Factor z(c).\nAnswer: 2*(c + 13)*(4*c + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1 + 3 - sqrt(18)\/(sqrt(6) + sqrt(24)))*-2)**2.\nAnswer: 32*sqrt(3)\/3 + 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733496 is divided by 91685.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 9*x**3 + 3*x - 6*x**3 - 17 in the form p*x**2 + s + g*x + h*x**3 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.03 - 0.03. Let g = y - 5. Let p = g - -4. Is -2\/7 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2795 + 3094. Which is bigger: 290 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*g - 4444 - 2532 = -2356 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129679.582 - -129474. Let u = 205 + j. Let b = u - 0.018. Which is smaller: -0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24408 and 3.\nAnswer: 24408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 8. What is the closest to -0.2 in -5, 2\/15, c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pckghcghhchhchkphcpp. Give prob of picking 3 p.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 90.505t?\nAnswer: 90505000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.60561ml in litres?\nAnswer: 0.05960561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45736, 94988, 144240?\nAnswer: 193492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110625 and 26658750?\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -0. What is the second derivative of -4*v**u - 3*v**3 - 25*v + 3*v + v wrt v?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/168166088 and -35\/52?\nAnswer: 2186159144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - j**3 + 5*j**2 + 12 + 4*j - 6 - 4. Let y be f(-4). What is the nearest to 0 in y, 4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1. Let h(g) = -8 + 8 + 2 - g. Let x(r) = -6*h(r) + 11*n(r). Calculate x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4475824*y**2 - 6*y - 36485 wrt y?\nAnswer: 8951648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54\/5 - 1448\/135. Let i be ((-4)\/22 - (-67)\/308)*4. Which is the nearest to -2? (a) 3\/4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-3)\/9*-3. Suppose 4*r = -g + 72, l*r - 54 = 3*g - 0*g. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**3 + 17*g**3 + 2*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-5)*30\/9. Let w be -1 + (-4)\/(-8)*t. Let b(s) = -s**2 - s + 1. Let n(d) = -2*d**3 + 2*d - 2. Give w*b(y) + n(y).\nAnswer: -2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18*-3)\/8?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:07 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 13*j + 32. Let z be w(15). Let r(v) = 0*v**z + 0*v**2 + v**2. Let t(f) = 2*f**2. Calculate r(t(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 - (-6 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 17 - 1. Is l + 1462 - -3*(-3)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 1:03 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 5*g**2 - 2*g**3 - 19*g**3 + 6*g**3 + 5*g**3 to n*g**3 + l*g + u + h*g**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y = 52*y + 1770. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o - 3. Let j be x(3). Suppose -2*n = 4, 2*l - 3*n = l + j. Suppose 0*k = -4*k + l. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146882205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-550)\/(-143) + 4\/26. Suppose -28*c = -24*c + 56. Let u(i) = i**3 + 14*i**2 - 2*i - 16. Let o be u(c). Solve w - d*w = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*n - 17 = 0, 3*z = -n - 2 + 9. Suppose 4*b + 15 = 47. Suppose i - 2*u + b = u, 0 = 4*u - 16. Solve a = -k - z, i*a - 2*a = -k - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -643917567 by 749613.\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*s**4 - 13*s**5 - 36*s**4 + (-2*s**4 + 0*s**4 + s**4)*(2*s + s - s))*(8 - 1 - 3) + 26*s - 26*s - 3*s**5.\nAnswer: -63*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 734313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -765*x**3 - x**2 + x - 62?\nAnswer: -4590*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874\/8 - 180\/(-240) is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -8. Suppose 55*n - 290 + 70 = 0. What is the remainder when m is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {g: 3, x: 3, z: 1, a: 2, o: 7, m: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 56. Suppose 5*k - 4 = d. Solve 2*b + 5*v = k*v - 16, 3*b = 4*v - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6.72 (b) 4 (c) 6\/17 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25112954549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 62. Let o be (1\/2)\/(p\/(-130)). Suppose -4*w + 611 = -o*t + 127, 114 = w - 3*t. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.45*-76054.\nAnswer: 1707412.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3517 - 3286. What is the greatest common divisor of 2604 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1 (c) -8 (d) 0 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 7*w**2 - 2*w + 1. Calculate the remainder when a(6) is divided by (32\/(-14))\/((-16)\/56).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 133237.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -652 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 6*o**2 - 16*o\/7 - 136\/7 = 0.\nAnswer: -34\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659441.\nAnswer: 107, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 7. Suppose 2*p + 20 = k*y, y + p - 4*p - 17 = 0. Factor -4*r**3 - r**4 - 3*r**2 + y*r - 3*r + r**3.\nAnswer: -r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/6*(-438672)\/136344.\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10206 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4605008 months in millennia?\nAnswer: 0.0001217084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153262377?\nAnswer: 3, 17029153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*x = 3423, -x = -32*t + 35*t - 3427. Solve 0 = -t*h + 1146*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orwrworovww. Give prob of sequence wv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*36\/855*(-33)\/(-44).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w + 80019 - 3*w**2 - 80019.\nAnswer: -3*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4938604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 40. Let r = 24 + -12. Suppose 0*b = -2*b. Solve b*w = p*w + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Let c(x) = 242*x**2 + 7. Determine c(g(h)).\nAnswer: 242*h**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -356 + 180. Let n = 175.999887 + r. What is n rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -31. Let o = 1.1 + -0.8. Which is the second biggest value? (a) -2\/7 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4966 divided by -4?\nAnswer: 2483\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2778167?\nAnswer: 7, 396881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2 + 1625*t + 1626 = 0.\nAnswer: -1, 1626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12894069379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321638 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 6*h + 7. Let o be 3\/(27\/(-15))*-3. Suppose 5*p = 10, o*q + 2*p + 28 = p. Calculate c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.306 - -2.694. Suppose 5*m = 85 + 50. Let j = m - 191\/7. What is the third smallest value in j, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2387*r + 155. Let m(x) = 53756*x - 53787*x + 2 + 0. What is -155*m(k) + 2*y(k)?\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4773, 4764, 4749, 4728, 4701, 4668, 4629?\n\"Answer: -3*c**2 + 4776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 8. Let i(u) = -22*u + 879. Give i(r(b)).\nAnswer: 22*b**2 + 703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 8*v**2 - 8*v + 2. Let u be y(7). Let k = 9 + u. What is the derivative of -1 + 5*z**4 + 4 - 3*z**k + 0*z**4 wrt z?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(396))**2.\nAnswer: 24*sqrt(11) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z - 9 = 2*q, 0 = -4*z - 2*q - 8. Suppose -2*w - 3*w = 3*l + 1, -3*l - 5 = w. Let n be (-3 + 6)\/(w + -2). Sort z, n, 5 in ascending order.\nAnswer: n, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -138 + 546. Is 67 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12206)\/(-17) - -1*(3 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 969 divided by 42370\nAnswer: 51\/2230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) -26335 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/7498 (b) -2\/5 (c) -1 (d) 6 (e) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3932 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*m - 18 = -0*j, 0 = -3*j - 3*m - 9. Let c be -4*(-1)\/(2 + -1). Let l = c + j. Sort -3, l, -0.2 in descending order.\nAnswer: -0.2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five eighths of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 64 - 3*d - 72.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 59750*l**2 - 2*l + 4. Suppose h + 5*j = 4*h + 21, 0 = -2*h - 4*j + 8. Let z be (13 + -14)\/(h\/4). Let p be u(z). Round p to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 + s**2\/2 + s - 1. Let d = 4 - -1. Is r(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 23 = -4*j - 5, 4*p - 22 = j. Suppose -n + 9300 = 3*n. Suppose p*v = 20*v - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -18*v - 3. Let o be l(8). Let s = -145 - o. Which is smaller: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (16 + (-6 - 35) + 2).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:57 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2 - 2)*(0 + 4 - 2) - 13*k - 14*k + 19*k + (-2 + 5 - 2)*(-3*k + 3*k - 2*k) + 5*k - 2*k - 4*k + 0 + 0 - k - 3 + 3*k + 3.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 261966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 32 = -5*h. Let p = h + 50. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -613 + 1567. Let n be r*((-112)\/6 + -1 - -3). What is n rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 53*j**7\/70 + 7*j**5\/60 - 1415*j**3\/6 + 257*j**2. Differentiate a(u) with respect to u.\nAnswer: 636*u**3 + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 60515*x**2. Let p(n) = 5*n**2. Calculate p(d(h)).\nAnswer: 18310326125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/15, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58 + 1119*y**2 - 1117*y**2 + 55*y**4 + 31 wrt y?\nAnswer: 220*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -64093?\nAnswer: -5\/64093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*-10*3\/6*42381\/(-8310).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320580 divided by 5?\nAnswer: 64116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 46823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 96\/8*5\/((-40)\/12). What is the third smallest value in 1, 2\/7, m, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - 974586.\nAnswer: -974552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*b + 6*b. Let n = b - -28. Solve -3*x = -6, n*t + 8 = -5*x + 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13085 is divided by 13074.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58278 or -58244?\nAnswer: -58278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (19 - -2)) + 11 + -6 + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 588.8 - 589. What is the closest to s in -11, 1, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Suppose v*x = 9*x - 144. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -305\/6, -0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655 (base 8) to base 3.\nAnswer: 120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628447.7 millennia to decades.\nAnswer: 62844770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/11, -0.6.\nAnswer: -8, -0.6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 358774512*b**5 + 513977*b**2 - 3 wrt b.\nAnswer: 21526470720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t**2 + 4*t**4 - 3*t**4 + 3*t**2 + 5*t**4 wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 9. Calculate the lowest common multiple of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26962136 is divided by 1340.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -242319, -5, 2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88081096*h**3 - 29016*h**2 - 6*h wrt h?\nAnswer: 528486576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1175\/(-47)*(-4)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -7 + -10)\/(2\/(-4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c = -6*r - 3709, -5*c - 2*r = -3677. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z**2 + 1206*z - 8934. Let k be y(8). Factor k - 2*l**3 + 79\/2*l - 5\/2*l**2.\nAnswer: -(l - 4)*(l + 5)*(4*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 72*o**3.\nAnswer: 72*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovuoovuvvovvo. Give prob of sequence uou.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**5\/60 - o**4\/8 - o**3 + 3*o**2. Let i be d(5). Sort -3, i, -4 in descending order.\nAnswer: i, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(363)*4 + 5))**2 - ((sqrt(2700) + 5)**2 + 4).\nAnswer: 140*sqrt(3) + 3104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 (base 13) in base 3?\nAnswer: 1120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/203 at least 14712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/10 + s**4\/3 - 5*s**3\/3 + 2*s**2. Let b(r) = 198 - r**2 + 24*r - 7*r - 199 - 16*r. Give 8*b(q) - h(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 1661939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 2*n = 45. Sort 1, n, 2, 0.\nAnswer: n, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 1:42 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.203*3.\nAnswer: -0.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150302089?\nAnswer: 7, 229, 93763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51937 is divided by 753.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5793*x**2 + 2860*x**2 + 2934*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 62. Suppose 63 + t = 3*m - 4*x, 4*m = -5*x + 95. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -54\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -12.76. Let o = -3.06 + q. Let a = o + 2.8. What is a rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j**(-8))\/((j\/(j**(2\/7)\/j))\/j)**(2\/129)*((j*j*j**0)**49)**(-12\/7) assuming j is positive.\nAnswer: j**(-159841\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12554 is divided by 672.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127348\/9 + -14150. What is the third biggest value in -156, -5, 2\/31, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 322?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 158, 515, 1212, 2363, 4082, 6483?\nAnswer: 9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/3, -7, 90, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -76 - (-2 + 0 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61255254 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k = 3*k - 27*k + 715 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 47. Suppose -3 = 2*g + n + u*n, 0 = -4*g - 3*n - 3. What is the remainder when g + -1 - 96\/(-3) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7 + 0*u - 2*u - 2*u. What is the units digit of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -196, -426, -638, -820, -960, -1046, -1066, -1008?\n\"Answer: 2*d**3 - 3*d**2 - 235*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -342, -1159, -2450, -4215, -6454, -9167?\n\"Answer: -237*q**2 - 106*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58481467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (5 - 31 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a - 10*a + 26*a - 16 - 10*a. Let j be b(-11). Factor 35 + 2*d**3 - 18*d**2 + 30*d + j - 88.\nAnswer: 2*(d - 7)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/22465?\nAnswer: 4\/22465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21145 is divided by 188?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 28*m - 67*m - 1 = 2*w, -5*w + 23 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/g)\/(g*g**12)*g*g\/(g**(-1\/14)*g*g)*(g*g**5)\/g assuming g is positive.\nAnswer: g**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3143252 by -5.\nAnswer: 3143252\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70261 = -14*u - 11405. Let a = 33551\/8 - u. Calculate the common denominator of 1\/636 and a.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o**3 + 30*o**3 - 4*o**3)*(-3*o**2 + 2*o - 2 + 2).\nAnswer: -126*o**5 + 84*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 40*r + 203. Find z such that -8*z**3 - 29*z**2 + 320*z + r*z**3 + 6*z**3 - 51*z**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 129*t - 3248. Give p(22).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(8)*6)**2 + (sqrt(2)*4 + 0 + sqrt(2) - (sqrt(128) + sqrt(128) + 2 + sqrt(128)))**2 + 0 + 3.\nAnswer: 76*sqrt(2) + 8505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*h = -3*h + 87, 21 = r + 3*h. Calculate the highest common factor of r and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(-3 + sqrt(1008) + 1*sqrt(1008)*4 + 2*sqrt(1008)*-3) + 2).\nAnswer: 48 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/12*1)\/(24\/(-108)). Let s = 9 + 5. Solve -2*b + l = s, 0 = -g*b + l + l - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/256 and -45\/16.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 - 5*j**2. Suppose -2*h - 3*h = 30. Let a(v) = 53*v**3 - v**2 - 5. Let y(u) = 63*u**3 - 6. Let k(s) = 6*a(s) - 5*y(s). What is h*c(l) + 5*k(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47512\/29 + 1228181\/174. Let u(h) = 5440*h**3 - 2*h**2 + 4*h + 4. Let y be u(-1). Let m = p + y. Calculate the common denominator of -121\/10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 250580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.632545 days to minutes.\nAnswer: 910.8648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 + 18*y = 0. What is y?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153603663.\nAnswer: 17, 23, 2950393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 24*y**3 + 6*y**2 + 7. Let a(h) = 24*h**3 + 5*h**2 + 6. Let q(s) = s**3 - 8*s**2 - 9*s + 6. Let n be q(9). Calculate n*a(x) - 5*w(x).\nAnswer: 24*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/652 and (-102)\/24 - (-2 - -9).\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7180 divided by -1795?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -299*q**3 + 18*q**2 - 4*q - 6. Let j(m) = 597*m**3 - 38*m**2 + 8*m + 15. Let b(r) = -2*j(r) - 5*l(r). Find the third derivative of b(n) wrt n.\nAnswer: 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4076330 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1133 - 736. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4867243 or 4867197?\nAnswer: 4867197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3603071.93 rounded to the nearest one thousand?\nAnswer: 3603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12435*z**5 + z**4 + 5546*z**2 + z - 1 wrt z?\nAnswer: -746100*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, o: 2, r: 2, s: 1, q: 1}. What is prob of picking 2 r and 1 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 37. Let m(r) = 8*r - 36. What is 6*m(d) - 7*s(d)?\nAnswer: -d + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(1 + 1 + q**2 + 5*q - 3*q).\nAnswer: -3*q**2 - 6*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 9*f + 26. Let s be h(-13). Let q = -23 - s. Suppose 5*x + 17 = n + 2, 4*x = 5*n - 12. Which is the nearest to -2\/5? (a) q (b) 1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*s + 10, 3*s + o = -o. Solve 6*t = a + s*t + 9, -5 = -5*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(4 + 0) - -35. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 806143.\nAnswer: -2418429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/8 + 1\/(-8). Let v = 6.4 - 6. Let d be 2\/30 + 2\/(-5). Which is the nearest to d? (a) v (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 384.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2690461, -2690452, -2690443, -2690434, -2690425, -2690416?\nAnswer: -2690407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44646 (base 9) in base 10?\nAnswer: -29688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 36, -1\/11 in descending order.\nAnswer: 36, 0.2, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5235774*z**4 - 12*z - 8128361?\nAnswer: 20943096*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Suppose -2*h = 4*t - 690, -k*t - 1097 = -4*h + 293. Let b = h + -236. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppptrrprprrlprpp. What is prob of sequence plr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2 + 2)*(43*u - 28*u + 45*u)*(4*u**2 - 3*u**2 + 2*u**2).\nAnswer: -540*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7330842862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 46 - 146 = 0. Let j = y + 12. Is j\/5*(-6 + -14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(91) + sqrt(91) + sqrt(91)*3 + sqrt(91) + sqrt(91)))\/sqrt(7))**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - 129*n**2\/5 + 792*n + 13068\/5.\nAnswer: (n - 66)**2*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50 and -4?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 2*k = 5*b + 30, -3*b = -5*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991709457?\nAnswer: 313, 6363289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*v - 2*v + 21 = 0, 5*v + 15 = 0. Let o = 36 + a. Let u be (-6)\/9 - (-15)\/o. What is the greatest common factor of u and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 79288.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13465 - -0.23465. What is the second biggest value in 15, -8.1, -1\/8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221.8 - -221.4. What is the nearest to 2\/7 in q, -7, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44d88 (base 15) to base 16.\nAnswer: -357ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -2*y**2 + 0*y**3 + 0 + 1\/6*y**4 - 7*y. Let o be u(-2). What is the greatest common factor of 28 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2\/(-15) - 1023056\/(-645)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + 3*(sqrt(171)*2 + sqrt(19)) + -2 + (sqrt(304) - (sqrt(304) + 1 + sqrt(304))) + 5))**2.\nAnswer: -544*sqrt(19) + 87872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4690 is divided by 586.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2)*(-7*g**5 + 3*g**5 + 2*g**5) + (-2*g + 4 - 4)*(1 + 2*g**4 - 1).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w + 8*w + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399703 and 2166.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -476484 - -686484. What is n rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 - 3*q - 2. Let c be d(-1). Suppose -c*k + 617 = -937. List the prime factors of k.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m + 38. Let d(t) = -2*t - 1. Let v(s) = 5*d(s) - j(s). What is the remainder when v(17) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 14*o**2 + 9*o - 42. Let q be n(-13). Solve x = 3*x + q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 174705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 15) to base 4.\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65448 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1797 - -1798. Let b(z) = 8*z**2 + 2*z + 9. Let d(c) = c**2 + 1. Calculate k*b(h) - 6*d(h).\nAnswer: 2*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1155)\/55*((-28)\/98)\/(4\/7)\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48488.\nAnswer: 2, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5 - 1077*z**4 - 67077*z**3 + 5227173*z**2 - 87984792*z + 385405776 = 0.\nAnswer: -204, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51223890 divided by -2.\nAnswer: -25611945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 12*s**2 + 2. Let a be i(-12). Suppose r - a*r + 25 = 0. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = x - 12, 8*l + 15 = 12*l - x. Suppose l*g - 3 = 3. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5914 + 29572\/5. Which is greater: i or 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 54*f**2 - 267*f - 216.\nAnswer: -3*(f + 1)*(f + 8)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 6*j**3 + 4*j**3 - 5*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(1 - -2))\/(8\/24). What is the greatest common factor of i and 1854?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000248328021 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + 0*o)*(0*o**3 + 0*o**3 - 2*o**3) - 2*o**4 - 3*o + 3*o - 48*o**3 + 48*o**3 + 99*o**4.\nAnswer: 105*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11282 = -4*s, -s + w + 80 = -2736. What are the prime factors of s?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = -5*f + 10*f. Calculate the lowest common multiple of 80 and f.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-3 - -1)) + -48 + (3 - -72)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 386*a**2 - a**3 + 4*a + 996*a**2 + 0.\nAnswer: -a**3 + 610*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -664 divided by -1?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -154*t - 20011. Determine s(-133).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*u, -5*y - 3*u + 15 + 2 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 4*x - 6. Is r(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/1689465 or 1?\nAnswer: 128\/1689465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 4093559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7092234.\nAnswer: 2, 3, 23, 37, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -8580653.\nAnswer: -4\/8580653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.106338 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 32*p - 250. Calculate c(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/2)*q)**50 assuming q is positive.\nAnswer: q**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n - 2 + 0 + 2 as m*n + y and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10949 is divided by 188.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let j be 306\/(-126) - (-6)\/14. Let o(h) = -h**2 + 11*h - 15. Let y(i) = j*v(i) + o(i). What is the units digit of y(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7261 - 7263. Let l be (-2)\/(1\/(10\/4)). Put l, q, 1, -3 in decreasing order.\nAnswer: 1, q, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 3133?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*p = 3*p - 6, 5*b - 70 = -5*p. Factor 60 - b*x**3 + x**4 + 0*x**4 + 100*x - x**4 - 4*x**2 - 5*x**4 + 39*x**2.\nAnswer: -5*(x - 3)*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 23.1. Which is the nearest to y? (a) -5 (b) -4\/3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v - 64 = 0. Let a = -10 - v. Let o = 26845 + -26847. Put a, 5, o in decreasing order.\nAnswer: a, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 42*r - 8. Calculate y(42).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u - 147 = -3*x, -166 = -4*x + 2*u. What is the highest common factor of x and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + 37847*i**2\/4 + 37849*i\/2.\nAnswer: -i*(i - 37849)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.821154299 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = 3. Let g be (-31)\/((-1)\/((-2)\/p)). Let z = 39 - g. What is the lowest common multiple of z and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 - 153.5. What is the third smallest value in m, 2\/7, -16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 + (9 - 14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-606)\/(-70) - 44\/(-154) - 9.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8357 - -8365. Sort 2, j, -14, 1\/3, 2\/3 in increasing order.\nAnswer: -14, 1\/3, 2\/3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -u - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15749934?\nAnswer: 2, 3, 2624989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Let b = i + 0. Suppose b*w - 5*d = -0*w + 41, w - 5*d = 17. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30538 is divided by 6055?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjbqrqhjq. Give prob of sequence qjj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -11*y + 16. Let r = -102 - -107. What is the remainder when r is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/20 - (-4)\/(-10). Suppose x = 5*k - 2*k. Suppose -5*s + l + 88 = 0, -s + k*s + 24 = 3*l. What is the least common multiple of 4 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202446?\nAnswer: 2, 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 + 4*k - 9. Let m(h) = 3*h**2 + 3*h - 6. Let q(v) = 5*i(v) - 7*m(v). Let n(w) = -21*w**2 + 4*w + 16. Determine 2*n(t) + 11*q(t).\nAnswer: 2*t**2 - 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 103. Let g(d) = d**3 - 4*d**2 + 4*d - 1. Let v be 64\/20 - (-1)\/(-5). Let i be g(v). Solve -z - o*y + 14 = -11, 0 = -i*y + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:30 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 17*t - 5. Let l be q(17). Is 1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmzwmzmmmkkzwzzkwmk. What is prob of picking 2 w and 1 m?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 25*r**2 - 13*r - 305. Let u be o(-25). Solve -17*p - 24 = m - 13*p, 4*p + u = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -265, -493, -721?\n\"Answer: -228*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 2*z + 2. Let j be n(2). Let b = j + 0. Let f = 7 - b. Solve -3*i = -2*a + 11, 40 - 13 = -f*i - a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+20778300\nAnswer: 20778299.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*x + 14 - 34 + 26*x)*(2*x**2 + 2*x**2 - 3*x**2).\nAnswer: 2*x**3 - 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 64344*p + 345012528 = 0.\nAnswer: -10724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-120) - 155\/300.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 126*p + 0 - 2534*p - 644*p.\nAnswer: -3052*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1020102022101 (base 3) to base 15\nAnswer: -ced74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 6*b - 5. Let j be z(-3). Suppose 0*x + 3 = -x. Sort -5, j, x in ascending order.\nAnswer: -5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8031658 - 42209.\nAnswer: -42209.8031658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 100. Let f be 3*(-6 + 3\/((-9)\/(-21))). Sort 2, f, a.\nAnswer: 2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 458480896 by -1472.\nAnswer: -311468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = 4*s - 2, 0 = 5*y + 5*s - 20. Solve -y*c = -3*q - 3 - 24, 3*q = c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29169*1179\nAnswer: -34390251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/7 + 10674*s**2\/7 - 42670*s\/7 + 31998\/7 = 0.\nAnswer: 1, 3, 5333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/96 and (-62538)\/3168 + 11 + 11\/((-77)\/(-63)).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3 + 798*t**2 - 15118*t - 15918 = 0.\nAnswer: -1, 21, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(-3) + 1\/3. Let y = -2 - z. Let k be 0\/((4\/(-3))\/((-26)\/(-39))). Solve -q + 5*g - 13 = q, k = -y*q + g - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snjsfonsjna. Give prob of sequence jnf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-58)\/16) + (-52)\/32.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(924\/(-770))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -5)*(-19 + 36*(-22224)\/(-42120))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/276*23)\/(2*1\/(-14)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) 0 (d) -13395\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/7128 and -49\/5346.\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + 2 + sqrt(448)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 503147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5)*(2 + 0). Let z = -58 + 57.7. Which is the closest to f? (a) 4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 118, -17, 15, -1 in descending order.\nAnswer: 118, 15, 7, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 1887, 5, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 179 (c) -1\/1292 (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 376.95 - 125.94. Let d = 250 - c. Round d to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + 11*n - 11. Let z(t) = -3*t**2 + 6*t - 6. Suppose 0*c + 24 = 4*c. Determine c*q(s) - 11*z(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 2*x**2 - 2*x. Let d be i(-2). Suppose -4*r - d*b - 50 = -9*r, -4 = r + 2*b. Solve -g - r = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 605.903?\nAnswer: 605.903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2622, 10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11.25 (b) 2 (c) -1 (d) -0.4 (e) -0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0803 and -698.5362.\nAnswer: -698.4559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/(-15) + -6 + (-20)\/(-6). Let z(x) be the first derivative of 0*x**i + 7\/18*x**4 - 8 - 4\/27*x**3 + 0*x. Factor z(v).\nAnswer: 2*v**2*(7*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 282 + 324 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u = 33*u + 2*s + 34, 0 = -2*u + 5*s + 49 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 1. Let s(o) = -9*o**2 + o - 4. Determine -2*c(m) - s(m).\nAnswer: 9*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 519 - 293. What are the prime factors of m?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4))**(-35) assuming g is positive.\nAnswer: g**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11106 - -13206. Calculate the highest common factor of 1350 and k.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76029042 rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzu when three letters picked without replacement from {g: 1, z: 3, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 958961394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217266 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u. Let i(w) = 4*w + 31. Let v(q) = -5*q - 36. Let k(s) = 4*i(s) + 3*v(s). Determine k(z(n)).\nAnswer: -3*n + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2756*s**2 - 11*s. Let b(t) = -11*t. Calculate m(b(u)).\nAnswer: -333476*u**2 + 121*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15759872 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0136016696771 - -3.\nAnswer: 3.0136016696771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -197, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36788, 36788, 36794, 36812, 36848, 36908, 36998?\n\"Answer: r**3 - 3*r**2 + 2*r + 36788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47333 (base 12) to base 15.\nAnswer: 1d476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - -2 - (4 - (-7 + 12) - (-3 + -3))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*t**4*v + 33399*t**3*v - 3*v - 71979 wrt t.\nAnswer: 32*t**3*v + 100197*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2799, -2829, -2859, -2889, -2919?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 1, a: 4}. Give prob of sequence faf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/2893866083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*h + 10987*d**2 - 3528*h wrt d?\nAnswer: 4*d*h + 21974*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6649, -2\/11, -2\/13, 0.4.\nAnswer: -2\/11, -2\/13, 0.4, 6649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 7*v**4\/24 + 5*v**3 - 19*v**2 - 1. Let o be w(-5). Let i(j) = -j**3 - 5*j**2 + j + 7. Calculate i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, -3, 26, 798 in increasing order.\nAnswer: -3, 0, 2, 4, 26, 798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 41*n - 430. Determine p(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 - q**5\/10 + q**4\/8 + 17*q**3\/6 - 237*q**2. Give b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170 + 51 = -3*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 5, k: 3, u: 1, x: 1}. What is prob of picking 1 i and 2 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 0.1 (c) -1433024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 166, -2, 0 in increasing order.\nAnswer: -13, -2, 0, 3, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 1873, 3428, 5391, 7762, 10541?\nAnswer: 13728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4 take away -24.4577899?\nAnswer: 41.8577899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 1:09 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 13 + 23 - 100*h.\nAnswer: -100*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -0.5 (c) -38758\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000696 rounded to six dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - 110.99. Let t = -0.49 - k. What is the second biggest value in 1\/4, t, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhrqnhryyyrqvyhr. What is prob of sequence hyq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 6 = 1. Let g(m) be the third derivative of 79*m**5\/60 + m**4\/6 - m**3\/2 - 2*m**2. Is 8 a factor of g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 14) + 116 + -131.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 5:05 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14599112?\nAnswer: 2, 11, 23, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.56 (b) 0.5 (c) -42 (d) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - -67. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let t(h) = h. Let a(l) = -4*i(l) + 10*t(l). Let z(v) = -v**2. Give z(a(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - 5*o**2 + 2*o + 13. Let k be x(-4). What is the highest common factor of k and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -676?\nAnswer: -13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, e: 3, d: 1, a: 1, n: 4}. Give prob of picking 1 n and 1 e.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 - 31328244*u\/5 + 81788239343628\/5.\nAnswer: 3*(u - 5221374)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -140*h**5\/3 + 20798*h**4\/9 + 53756*h**3\/9 + 22208*h**2\/9 + 832*h\/3 = 0.\nAnswer: -2, -4\/15, -3\/14, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-2)\/12*-2. Suppose y*z - 4*z = -2. Is (z - 3) + 676 - -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-20)*7184\/(-105066)\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -94*s + 1. Suppose 0 = -2*m + 4*q - 14 - 0, -2*m = 3*q + 14. Is g(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 10) to base 7.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -1\/3*n**4 + 1 + 0*n**2 + 1\/3*n**6 + 0*n**3 - n + 3\/10*n**5. Let q(d) be the first derivative of y(d). Solve q(f) = 0 for f.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z*z*z\/((z**(-3)*z)\/z))\/z*z*z))*z)\/z*z*z**(-1\/3)*z)\/(z*z**1*z**(-10)\/z) assuming z is positive.\nAnswer: z**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1249544 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-10)*20\/4. Let x be (-2)\/(s\/39) + 1. Suppose -i + 2*i = x. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1106 and 6600.\nAnswer: 3649800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.68 + 19.78. Which is the nearest to x? (a) -4\/7 (b) 35 (c) 2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**5 - 5*d**4 - 25*d**3 + 25*d**2 + 20*d - 20 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l - 3*l**2 + 6*l + 0*l**2 - 6*l**2 - 233 + 233 + (-3 + 6 - 4)*(2*l**2 - 4*l**2 + 0*l**2).\nAnswer: -7*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/2)*f**(2\/25)*f*(f*f*f**(4\/5)\/f)\/((f\/f**0)\/f) assuming f is positive.\nAnswer: f**(119\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13104801 is divided by 3562.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 951824.9ml?\nAnswer: 951.8249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 4, v: 4, h: 1, d: 3}. What is prob of picking 1 h, 1 v, and 1 u?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 92 = 0. Let z = i + -5. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4 - 4*o**2 - 2*o**4 + 4*o**4 + 10*o**4 wrt o?\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7293 + -7291. What is the fifth biggest value in 4, 0.097, w, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1414*h + 1128 = 15250 + 56894 - 4558 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 3*t - 4086. Suppose 5*g - 18449 = -14*g. Let q = t - g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1242464 divided by 621232.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 35. Suppose -4*u + 5*f = 2*f - 22, 0 = 4*u + 2*f - q. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let m be l(-1). Let q = -0.02 + 0.02. Which is the closest to q? (a) m (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 6*t**2 + 13*t - 47. Is m(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*i + 3*i + 102, -363 = -4*y - 5*i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1003*z**2 - 5 + 519*z**2 + 480*z**2)*(0*z**3 - 2*z**3 + 3*z**3).\nAnswer: -4*z**5 - 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005177 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107889*i**3 + 9564*i**2 + 2*i.\nAnswer: -647334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (242\/88)\/11 - (0 + (-15)\/(-92))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 564314 = 11*t. Let r = t - -232118. Suppose 6 = -2*y, -3*y = 2*m - r - 2645716. What is m rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799455961?\nAnswer: 1799455961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Solve -2*g + g + j = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6124*o + 35454. Calculate f(6).\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7))**42*p*p\/(p\/p**(-8))*p*p**8 assuming p is positive.\nAnswer: p**(-292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 0 + 0 - (-219 + 210)) + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4202 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 29, 76, 149, 242?\n\"Answer: -u**3 + 22*u**2 - 44*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9085 divided by -1817?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891 bigger than 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9485, -9481, -9487, -9509, -9553?\nAnswer: -9625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96152349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 2*z + 2. Let a be f(-3). Let o be (-4)\/(-10)*a*25\/(-2). Solve -o*p + k - 3*k = -31, 3*p = 5*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 156490*r + 4. Let u(w) = -2*w. What is u(g(b))?\nAnswer: -312980*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32844, 33016, 33188, 33360?\nAnswer: 33532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 153156*x**2 - 162978 wrt x?\nAnswer: 306312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - n = 9, -2*h + 0*n = 2*n - 12. Are h and 19\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-3 - -4 - -8). Let h(a) = -a**3 - 5*a**2 - 2*a - 3. Let c be h(v). What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 9 + 3)*(-a + 0*a - 4*a)*(2 - 4 - 5) + 3 - a - 3.\nAnswer: -106*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 1, r: 1, v: 2}. Give prob of picking 1 m and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 2341?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 586*b**7\/21 + 77*b**3\/3 + 1196*b. What is the second derivative of t(c) wrt c?\nAnswer: 23440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95862 is divided by 499.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*o = 56, -77*r = 4*o - 132417 + 131339 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t. Let z(m) = 17497*m**2. Give z(a(j)).\nAnswer: 629892*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:14 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 11:47 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -93?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3804574 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o, -11*o + 8*o = 2*p - 4. Find c, given that -40*c**2 + 42*c**p - 2 - 4 + 4*c = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.94 + -1.93. Let r = m + 0.99. Which is the nearest to r? (a) -0.5 (b) 5\/6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -10*c - 23 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 2) + 12\/4 + 3. Suppose -3*m = -x - 5, -4*x + n = 3*m - 22. Which is the biggest value? (a) m (b) 0.06 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53585\/245 - 19 - 3\/((-63)\/6). Calculate the highest common divisor of x and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 3:41 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737*r = -750*r + 1001. Calculate the greatest common factor of r and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 v, and 2 q when four letters picked without replacement from qvqqvqqhvvqqv?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/(p*p\/(p*p\/p**(-3\/7))))\/(p**10*p**(-7)\/p))**(-7\/3) assuming p is positive.\nAnswer: p**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -467 + 428 - (-3 + -5 + (-4 - -2) + 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-3150)\/788 - (-2 + -2)).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = -39. Let u be 8\/(-6)*(425\/(-68) - -4). Suppose -6 = -0*v + 3*v + u*q, 3*q = 4*v - z. Calculate the greatest common divisor of 11 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2562.78 rounded to the nearest 10?\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16490202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -6*z + 186. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -183195, -365932, -548665, -731394, -914119, -1096840?\n\"Answer: 2*i**2 - 182743*i - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001834153151 to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6008 - 72163\/12. Find the common denominator of y and 85\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 152*o - 5157. Calculate v(36).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -648436\/935 - -7624\/11. Is m bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 less than or equal to -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = 5*o + 187, -541*q - 5*o - 175 = -546*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 553 - 5?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-26)*m)\/m*m)\/(m*m*m**11) assuming m is positive.\nAnswer: m**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (6*-3*sqrt(24))\/sqrt(12))*2.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + ((-9)\/(-2))\/(-9)*6. Suppose -4*x + 9 = -13*x. Sort 1, 0, s, x.\nAnswer: s, x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/13)\/(b\/(b*b\/b**(-1\/2))))**4)**14 assuming b is positive.\nAnswer: b**(980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 54. Suppose j*b = 4*b - 68. Suppose 20*m = b*m - 51. Which is smaller: m or -16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(-42) + -3 - (-2)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578, 2342, 5312, 9506, 14942?\nAnswer: 21638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 bigger than 93276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, -1\/4, 0.3, -2302, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.15 - -22.15. Which is the closest to v? (a) -2\/7 (b) 2\/11 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89\/5735 + 361661\/22940. Factor v + 3*n - 3\/4*n**2.\nAnswer: -3*(n - 7)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740904 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v. Let z(d) be the first derivative of -2*d**2 + 2. Determine z(i(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -94. Suppose 3*x + d - 34 = p, -4*x + 2*d - 56 = -9*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bf783 - -10?\nAnswer: -1bf773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 21 + 13 + 0 - 22*i**2 + 33*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/8)*s**(1\/4))**50)**29 assuming s is positive.\nAnswer: s**(7975\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 16 = 5*o, -3*w - 4 = -10*o + 6*o. Put 6, w, -3 in decreasing order.\nAnswer: 6, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1181 + 2*v - 1181)*(1 + 6*v - 1) - 14*v**2 + 8*v**2 - 5*v**2 + (-2*v - 2 + 2)*(-5*v + 5*v - v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmzhhhmzmmzmmhhzhh. Give prob of picking 1 m and 2 z.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8092*g**2 - 1547*g**2 + 2999*g**2 - 3*g + 3*g.\nAnswer: 9544*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18513402?\nAnswer: 2, 3, 3085567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from klkklkklklll.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j**3 - 7*j - 37. Let i = 12 - 7. Let k(b) = 11*b**3 + 5*b + 25. Let w(r) = i*h(r) + 7*k(r). What is the derivative of w(q) wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 76 + -10 + 17 + 5 + -31?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32177?\nAnswer: 23, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 - 9*b - 10. Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Let z = 3 - o. Let n = z - -1.2. Sort -4, -2\/13, n in descending order.\nAnswer: n, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1181455208 by -4.\nAnswer: -295363802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + -56 + 41\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 6:33 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683413518.\nAnswer: 2, 3, 113902253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2 = 5*m + 2, 0 = -m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 8805\nAnswer: 26415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17026?\nAnswer: 2, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 3*q)*(-128*q - 16*q + 10*q) + 1953 + 20*q - q**2 - 1953.\nAnswer: 133*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36307\/1830 - 2\/305. Find the common denominator of 37\/21 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6333357 (base 8) in base 10?\nAnswer: -1685231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/5 + 115401*p\/5 + 115398\/5.\nAnswer: 3*(p + 1)*(p + 38466)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g + 40. Suppose -2*s + 47 = -z, -s - 3*z + 13 + 14 = 0. Suppose -24 = 4*n - s. Let c be t(n). Which is smaller: 39 or c?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 10:03 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187272 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191400267 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 6998*t**2\/3 + 8118310*t\/3 + 3124732114\/3.\nAnswer: 2*(t + 1081)**2*(t + 1337)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011100100 (base 2) to base 7.\nAnswer: -60314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790220234?\nAnswer: 2, 1019, 387743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8911 and 6700.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 4*r**2 + 9*r - 6. Is 4 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -0.05 (c) 6133 (d) 2 (e) 4\/3 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 66*b + 262. Let y be i(5). Suppose -10 = -0*d - 2*d. Solve y*j = -d*a + 4*j - 12, 5*j = 2*a - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010 (base 2) in base 15?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2\/7 - 12496*l\/7 + 99712\/7 = 0. Calculate l.\nAnswer: 8, 3116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1152)*6)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3750 * -3\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(3\/7))\/l**(3\/14) assuming l is positive.\nAnswer: l**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 104\/(-6) - (-4)\/(-6). Suppose -4 = 2*r - 0*r. Calculate the common denominator of 89\/8 and (-33)\/x - 2 - r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - -71 - -37) + -100?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qupr when four letters picked without replacement from {u: 3, q: 1, p: 2, r: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/17632 or 1?\nAnswer: -3\/17632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001110101110 + 110001?\nAnswer: -101100001101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 - 15 = 0. Suppose 1 = 3*j - 4*p - h, -2 = -p. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*u = 103 + 72, 5*o = 4*u + 180. Solve -2*n - 3*y = -2 - 2, -3*n + 5*y - o = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*(-2)\/12)\/(10\/30). Let o be 50\/13 - c - (-8)\/52. Let d be (-6)\/2 - (-1)\/1. Sort o, 4, d in ascending order.\nAnswer: d, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmrrrrmr. What is prob of picking 1 r and 2 m?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*q - 0*q + 7 + 7, -10*q + 136 = -32*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 8*t - 12. Let v(k) = -2*k**2 - 7*k + 11. Give -6*s(i) - 7*v(i).\nAnswer: 2*i**2 + i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(2*sqrt(19)*2)**2 + 1).\nAnswer: 9114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -z. Let a be 11\/(330\/2020)*15\/1. Let y = a + -1013. Sort y, 0, -6, z in descending order.\nAnswer: z, 0, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let b(h) = h + 4 - h - 32*h**2 + 57*h**2. Calculate k(b(p)).\nAnswer: -25*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12453564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**2. Let c(x) = 6*x. Let q(f) = 2*f. Let i(j) = j**3 - 8*j**2 + 6*j + 5. Let n be i(7). Let w(u) = n*c(u) + 5*q(u). Determine p(w(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 827791 smaller than 827718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m + m. Does 31 divide (-528)\/(-55)*(-50)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 276 = -8*z + 2*t, z - 54 = t. Let k(y) = -12*y - 3. Let q be k(-2). Let f = -14 + q. What is the highest common factor of z and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24262514 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101893 divided by -8\nAnswer: -101893\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31376.\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 227 = -5*f, 2 = -a. Suppose t - 4*y + f = 6*t, 4*y - 18 = -2*t. Let b = 0.1 - 0.2. Does t = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {u: 4, i: 2, n: 6, m: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 10*p**2 - 13*p. Let d be r(-5). Let m be (-52)\/d - (-4)\/30 - -6. What is m rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37963797 and 387.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -0.3, 24?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/7 - (3 + 1). What is the closest to 2\/3 in -1, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Let m be 20\/(-12)*(g + -4). Let v(j) = 2*j - 13. Let y be v(9). Is y > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 10*u**2 + 9*u + 3. Let b be o(9). Suppose -2*g - 59 = -b*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/2 + 8. Which is smaller: z or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -29, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57438 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15591 - -5333. What are the prime factors of z?\nAnswer: 2, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40134419999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184310415 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 - -123. Let x(u) = u**3 + 2*u**2 + u - 2. Let v be x(-2). Let w = v + 4. Is q at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 63*d**2 - 305*d - 902. Calculate i(-58).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + -5*(sqrt(396) - 2*sqrt(396)))**2) + -5 + (-2*1*sqrt(308) - sqrt(308))\/(sqrt(112)*2))*3.\nAnswer: -42783 + 63*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, s: 1, b: 7}. Give prob of picking 2 d.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-234))\/(1\/3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p - 1. Is 102\/(p\/(-2) - -1) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 63032857.1717\nAnswer: -63032856.6717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + u**2 - u**4 + (0*u**3 + 0*u**3 - 2*u**3)*(3*u - 5*u + 4*u) - 3*u + 3*u + 2*u**4 - 1295*u**2 + 1295*u**2 + 1706*u**4.\nAnswer: 1703*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 42 = -s, -3*s - 5*f - 166 = -6*s. Suppose c + 3*c - s = 5*z, -3*z + 2*c - 27 = 0. What is the units digit of (z + 5)\/((-2)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:39 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76221 - 414?\nAnswer: -76635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 1 + y**2 + y + 0 + y**2 - 5 to p*y + j + x*y**3 + g*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t - c + 362, -4*c = -5*t + 442. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 1649208373*v**2 + 1649208373*v**2 - 32*v.\nAnswer: v**3 - 32*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - (-17 + 10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2173801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*f - 16, 3*f + 2*f = -3*u + 20. Suppose 16 = 18*c - 38. Sort c, 0.4, f in decreasing order.\nAnswer: f, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.03 times -46.93379\nAnswer: 48.3418037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q - 1742 = 42*q + 69*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2\/2 + 8. Let x(s) = -3*s. Calculate a(x(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016269163 rounded to 7 dps?\nAnswer: -0.0001627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 886.1 and -0.105.\nAnswer: -93.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3*o**2 + o**2 + (-o + 0*o + 2*o)*(o - 2*o + 0*o) + 0 + 0 - 2*o**2)*(-1 - 12 - 19)*(-6 + 2 + 1)*(6 - 3 - 6)*(3*o + 0*o + 0*o).\nAnswer: 3456*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**5\/20 - b**4\/2 - b**3\/6 + 3*b**2 + 7*b. Calculate d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 12 + 2 - 21 + (-3*m + 3*m + 2*m)*(-1 + 3 - 3) - 2*m - 3*m + 3*m to f*m + l and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -f + 285, -2*f = 2*f - b - 1140. Let i = -219 + f. What is the highest common factor of 18 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -50, 0.5, -1, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -1024\/15*r**3 + 0*r - 1\/150*r**5 - 16\/15*r**4 - 2 - 28*r**2. Factor f(a).\nAnswer: -2*(a + 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3*p**3 - 4*p**3 + 3*p**3) + (2 - 2 + 1)*(-3*p + 6*p - 2*p)*(-p**2 + p**2 - 13*p**2).\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 26210, -1\/3 in increasing order.\nAnswer: -0.5, -1\/3, 26210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k - 6. Let x = -9 + 9. Determine p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*v + 2*v + 4, -3*t - 6 = -4*v. Solve -3*o - 3*c + 6 = 0, 0 = c - t*c + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s = 648. Let k = -99 + s. What is the greatest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -74*s**3\/3 + s**2\/2 + 2*s. Suppose u + 7 = 2*v - 2*u, 2*u + 6 = 0. Is t(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-285)\/9*(-10539)\/(-5855).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5592597624?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/9 + (-6)\/(2 - 4). Let t(p) = 441*p**2 - 4*p + 3. Is 25 a factor of t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i + 8. Let s(o) = 16*o - 16. Let c(q) = 7*m(q) + 4*s(q). Give c(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 * -0.01\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 735*u + 2162. What is p(-5)?\nAnswer: -1513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + z + 287. Suppose -4*u - 40 = -2*l, 0 = -5*l + 4*u + 29 + z. Suppose -13*o + 84 = -l*o. Calculate the greatest common factor of 126 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 41. What is t(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 23*b - 836 = -14*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 + -179. Let v(h) = h**2 - 1. Let p(u) = -2*u**2 + u - 5. Give j*p(o) - 5*v(o).\nAnswer: -7*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/(c*c**(-1\/10)*c))**(1\/5)*(((((c\/c**5)\/c)\/c)\/c*c)**12)**(-2) assuming c is positive.\nAnswer: c**(14367\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (581\/18)\/((-392)\/(-84)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:03 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (662 + -616 + -16 + 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1 (c) 1\/6 (d) 3 (e) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - d + 2*d + 1446, 874 = 3*h + d. Let q be h\/75 + (-8)\/(-60). What is the highest common divisor of q and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 1760 + 1735 - 3231 in the form x*b**2 + h + v*b and give h.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44885254133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 483, 5, 337, -9.\nAnswer: -9, -2, 5, 337, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-250*m + 66*m - 250*m - 2 + 2*m**2)*(-2*m - 2*m**3 + 2*m).\nAnswer: -4*m**5 + 868*m**4 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 + 167. Let i = y + -117. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.84.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3200 - -20?\nAnswer: -3190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**2 + 0*m**2 + 8*m**5 + 4*m**2 wrt m?\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*g*i**3*v - 3*g*i**3 - g*i*v - g*v + i**3*v - 889*i**3 - 2*i - v wrt g.\nAnswer: 128*i**3*v - 3*i**3 - i*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(96\/(-64))*15255\/11865?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 2921, -1056, 4 in ascending order.\nAnswer: -1056, -5, -4, 4, 2921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 + 0)*(0 + 0 - 2*y) + 337 - 62*y - 337)*(-8 - 11 - 2)*(0 - 2 + 0) to the form j + f*y and give f.\nAnswer: -2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, 6393, -3.\nAnswer: -240, -3, 6393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -11*f**3\/3 - 3*f**2 + 16*f - 8990. What is y(4)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45, 48, 53, 60, 69, 80, 93?\n\"Answer: h**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2c8c (base 14) to base 7\nAnswer: 32135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23542243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 35, 105, 213, 365, 567, 825?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171722982 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1315 = l - 1324, 4*l = 2*j - 6. Factor 0*t - 99\/2*t**2 - 3\/2*t**3 + l.\nAnswer: -3*t**2*(t + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -11, -19, -29, -41, -55, -71?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 9*f**2 - 7*f - 15. Let m be v(8). List the prime factors of ((-7)\/1)\/m + 414.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 233, 216, -51, -574, -1359, -2412?\n\"Answer: -v**3 - 119*v**2 + 347*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 1\/9 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -150*r + 154*r - 20. Let a be (24\/(-44))\/3*-28. Is a > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -246516\/5 - -49054. Let m = 248 + p. Let h = 56\/55 + m. Which is the third smallest value? (a) h (b) 1\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/7 - 3392*m**4\/7 - 357128*m**3\/7 - 13126752*m**2\/7 - 172844928*m\/7 - 295985664\/7 = 0. What is m?\nAnswer: -1586, -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/13))**(-2\/51) assuming l is positive.\nAnswer: l**(4\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3060015 = 2*c - 5*d, -6120003 = 4*c - d. Round c to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - -52915?\nAnswer: 52899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from khkhkki.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/7 and 159660 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**6\/6 + 5*o**2\/2 + 6. What is the second derivative of t(p) wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 12*b - 12. Let h be f(9). Let j = h + -18. Is j bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 7*h + 6. Let c(m) = -m**2 - 6*m + 5. Let y be (-2)\/(-3 + (-56)\/(-21)). Determine y*c(v) - 5*s(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001453990492 rounded to 6 dps?\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 3\/56 (c) -152 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:14 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1562 (b) -2 (c) -30 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h = -31*h + 770. Let o(g) = -155*g - 165. Let r(a) = 11*a + 12. Let m(s) = h*r(s) - 4*o(s). Let w(z) = 9*z. Calculate m(w(b)).\nAnswer: 135*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 496 or 497?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 4*a - 13. Let w be f(7). Suppose -w*b + 6*b = -354. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 + -259. Let d = 187 + m. Suppose -d + 264 = 5*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 2*p - 2039 - 733 = 0 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4747*l**3*u - 201706*l**3 + l**2*u - 44*u - 1 with respect to u.\nAnswer: -4747*l**3 + l**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 284.711.\nAnswer: 142.3555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -8, -33, 2339 in increasing order.\nAnswer: -33, -8, 9, 2339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00623113 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3269 divided by -332.\nAnswer: 3269\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 30*p**2 + 36*p + 208.\nAnswer: 2*(p - 13)*(p - 4)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1958 and 1143411302.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 2. Let o = n + -6. Suppose -3*c - 5*m - o + 107 = 0, -5*c = 2*m - 183. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {x: 1, v: 1, w: 1, f: 1, q: 1, i: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 - 5*z**3 - 2615*z**2 + 2613*z**2 + z - 2*z**3 to i*z**4 + n + o*z**2 + p*z**3 + u*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (-1*sqrt(1088))**2 + 1 + -2).\nAnswer: -5420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5401 - 70211\/13. Which is the nearest to 1? (a) -0.1 (b) 0.1 (c) 0.4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/315*(-1)\/(-34).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + s + 861 = 6*a, 3*a - 4*s - 1294 = 0. What are the prime factors of a?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 2. Let t(a) = -2*a + 1. Let s(m) = -3*m + 86. Suppose -3*v - 2*v + 135 = 0. Let r be s(v). Determine r*t(l) + 3*f(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*p + 15*p**2 + 77*p + 3 - 3 - 9*p**2 + (1 - 2*p - 1)*(3*p - 3*p - p) - p**2 + 0*p**2 + 2*p**2 + 3 - 3 + 2*p**2)*(0 - p + 0).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9140495840 and -82.\nAnswer: -9140495922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 74 = 5*a - 0*a, j = -2. Let h = 21 - a. Calculate the lowest common multiple of h and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 124.1 (b) 0.05 (c) -1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550c (base 14) in base 2?\nAnswer: 10110010110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1964 - 1689*c**3 + 1087*c**2 - 1087*c**2 - 573 with respect to c.\nAnswer: -5067*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/24)\/((-4)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468274199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + 1024a9b?\nAnswer: 1024a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-8)*16\/(-8))\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x + 5*x**2 - 2 + 1 - 4*x**2. Suppose -5*r + 5*g + 0 = 55, -r = -2*g + 11. Let k = r + 6. What is s(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 3836 = -3*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3758*162.\nAnswer: 608796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7111, 6666, 5923, 4882?\n\"Answer: -149*f**2 + 2*f + 7258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 3, e: 4}. Give prob of sequence uee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -3. Let m = 5 - n. Let g(y) = -y**2 - 6*y + 4. Is g(m) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 993.1 + -993. Sort 4, 0.09, i, 2\/5.\nAnswer: 0.09, i, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n - 16*n + 31*n. Calculate a(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) 2\/6323 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2. Let p(t) = t + 2. Let f be p(-1). Let c be (f + 1 - 0) + -3. What is the units digit of x(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 24*f - 12)*((-4 + 2 + 3)*(2 - 2 - 1) - 3 + 3 - 2)*(-5 + 1 + 2) in the form p*f + c and give p.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26 + 2)*12\/84. Let n(l) be the third derivative of -8*l**2 + 0 + 1\/24*l**r - 1\/6*l**3 + 0*l. Determine n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 12*g + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + x)*(3*x**3 + 2*x**3 - 4*x**3) - x**4 - 3*x**4 - 8*x**4 + (x**3 + 4*x**3 - x**3)*(x - x + 2*x).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/(-6) + 7\/14. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10467 = -98*v + 101*v. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -3. Let a be (p\/(-9))\/((-8)\/(-36)). Let x = a + 17. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -9*a**2\/2 + 116*a - 4962. Determine j(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101139 + 160663. Let p = -39863 + a. Is p 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 {p: 4, t: 3, v: 5, d: 1, w: 1}. What is prob of sequence pd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5041000 (base 6) in base 9?\nAnswer: 403360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 881*b. Let k(o) = -15*o**2. Give f(k(d)).\nAnswer: -13215*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 9*y - 8. Is f(-8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 35*m**3 + 18*m**2 + 5*m - 6. Let p(y) = 17*y**3 + 10*y**2 + 3*y - 4. Calculate 3*d(k) - 5*p(k).\nAnswer: 20*k**3 + 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a + 1. Let x(m) = -3*m**3 + 3*m**2 - 4*m + 5. Let s be 5 - 2*(1 - 25)\/(-8). What is s*x(n) + 3*u(n)?\nAnswer: 3*n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17184 = 95*c + 26684 for c.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -88 (b) 0.13 (c) -1 (d) -2\/7 (e) 7\/3 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 145 + 49. Solve 0*l + j = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6293709 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278739507 by 93.\nAnswer: -2997199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14)*t*t**(-18)\/t assuming t is positive.\nAnswer: t**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 0*r - 10*r**2 + 73\/3*r**3 + 61. What is the second derivative of h(o) wrt o?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v + 40*v + 11*v to i*v + f and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 75 = -2*q. What is the common denominator of 4\/12*(-5)\/(-2) and (-1412)\/320 - (-6)\/q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 - -143. Suppose 3*h + q*s - 1048 = 0, 3*s = 6*s + 12. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87.0974 - -0.2826. Let i = -87 + j. Let o = 0.38000025 - i. Round o to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + 179. Solve -w - 1 = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2*t**2 - 7*t + 5. Let r be z(4). Suppose -5*w + 6 + r = 0. Suppose -w*i = -27 - 3. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 15*v**2 - v - 18. Let n be u(-15). Let s(k) = -k**3 - 3*k**2 + 3*k + 1. Determine s(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -8.711 (c) 1 (d) -0.2322\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165*f**3*p**2 + 72*f**3 + 2*f*p**3 + 2*f*p**2 + 15*p wrt p?\nAnswer: -330*f**3 + 12*f*p + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p + 380. What is m(-55)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2)\/(2\/8). Suppose l*p + c = 3*c + 20, -c = 5*p - 18. Suppose -1 + p = 3*k. Let x(y) = -6*y**2 + y - 1. Determine x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c9 + 3?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81107 by -6.\nAnswer: 81107\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27*(-2175)\/58*(-28 + -1 + -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 784 = 5212. Let b = 1514 - k. What are the prime factors of b?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 904*s - 1299 wrt s.\nAnswer: 904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1436484 and 107\/4309452.\nAnswer: 4309452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16963 (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u + 54 + 57 + 57 - 168.\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418676.\nAnswer: 2, 13, 193, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4, -3*v + 0 = 5*x - 40. Solve 0 = 3*l - 5*l + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -46. Calculate the lowest common multiple of 10 - (4 - (l + -3)) and 3 - 6\/((-48)\/8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13395 and 29375?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 + 3*g**3 + 2*g**3 + (-5*g**3 + 4*g**3 + 0*g**3)*(1 + 0 - 2) + (-2*g - 5*g + 5*g)*(g**2 - g**2 - g**2).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 36510\nAnswer: -365.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**4 + 38184*t**3 + 190820*t**2 = 0.\nAnswer: -9541, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390632526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 13472.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -1361250*w**4\/7 + 824920800*w**3\/7 - 124977001052*w**2\/7 + 302970912*w\/7 - 183618\/7 = 0.\nAnswer: 1\/825, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 22892249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-24) - (-28)\/16 - 37. Which is greater: j or -36?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 28 = -3*t. Suppose -5*k = 2*j - 382, -3 = 3*j + 9. Calculate the highest common divisor of k and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30510311?\nAnswer: 13, 37, 137, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*o + 229*o + 4*h + 476 = 0, 262 = o + 4*h. Solve 152 = o*f - 227*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 + 32*b**2 - 152*b**2 + 54*b**2 + 35*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 1, q: 4, h: 4, m: 1, x: 2}. What is prob of picking 1 m, 1 x, and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 59 (b) 58 (c) -1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*w - 59874 = -879 - 6295. What is the remainder when w is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*r**4 - 2734*r**2 wrt r.\nAnswer: 3192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 80.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/640 and -139\/3840?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*g**2 + 993*g**2 - 61*g**2.\nAnswer: 1433*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 12 = -33*d + 30*d, 0 = 5*i - d + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -263, -501, -739, -977, -1215, -1453?\n\"Answer: -238*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4\/19 + 20*d**3\/19 + 600*d**2\/19 + 3500*d\/19 + 6250\/19 = 0?\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(84)\/sqrt(7) + sqrt(12)) + (sqrt(204)*-3)\/sqrt(12).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**3 + 187*i**2 - 51*i - 157. What is the remainder when 563 is divided by l(-47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117027007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 = 3*f + 2*d, -820 = -4*f - 20*d + 15*d. What is the remainder when f is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1020*h*w**3 - 4*h*w**2 - 36098*w**3 + 41091*w**2 - 4*w - 2 wrt w.\nAnswer: 6120*h - 216588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = 6*x. Solve 0 = 5*i - x*u + u - 15, 0 = -4*u - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 5*v**2 - 104*v - 1. Let f be d(-13). Let y(z) = -7*z - 3. Let b(i) = -i + 1. Determine f*y(a) + 4*b(a).\nAnswer: 3*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifiiiifffifiiffiiff. What is prob of sequence ffii?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 m when three letters picked without replacement from {s: 7, k: 1, m: 1, n: 5}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 4236*s + 79762.\nAnswer: 2*(s - 2099)*(s - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/16 + (-12)\/(1176\/49) + -5?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-858)*-22)\/((-56)\/12)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 + r**3 - 4 - 7*r + 7 + 0*r**3. Let d be f(-6). Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39519 - 3596188\/91. What is the common denominator of 27\/11 and c?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 + 11*b - 10. Is i(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2759 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 19*x - 8. Determine h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 10802.357.\nAnswer: 54011.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -133893*o + 10532. Let v be d(24). Round v to the nearest 10000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Let c = h + 3. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Is (-63 + i)\/2*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 22*j. Let s(w) = -85666*w. Determine s(l(z)).\nAnswer: -1884652*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, o: 1}. What is prob of sequence oc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**3 + 6*t**2 - 2*t. Let j be 2\/(-5) - 18\/5. Let o(k) = 4*k**3 - 3*k**3 + 4*k**3 - k + 5*k**2 + 0*k**3. Calculate j*o(s) + 3*b(s).\nAnswer: -2*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -23457*p. Let c(n) = 1804*n. Let r(v) = 54*c(v) + 4*h(v). Let b(s) = -s. What is r(b(i))?\nAnswer: -3588*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:32 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26947 - -36728755\/1363. Calculate the common denominator of n and 3\/319.\nAnswer: 14993","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 342 in decreasing order.\nAnswer: 342, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-5) - (-32)\/(-40). What is the derivative of 2*d**f + 13*d**3 + 17 + 2*d**3 + 2*d**3 wrt d?\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 12, g: 2, p: 4}. What is prob of sequence pz?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623, 534, 385, 176, -93, -422?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*f + 13 - 121 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 46 = -0*o. Suppose -1 - o = -4*r. Solve -r = 4*u - 2*i, u + i = -0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/18)\/(6\/(-8)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 148 + 74. Let y = v - -75. Let f(x) = -x - 1. Let t(c) = -14*c - 12. Let h(l) = -2*l**2 + 2*l. Let p be h(-2). Determine p*f(q) + y*t(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*q + 336*q - 89*q - 3*q**2 - 82*q - 81*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (-12 - 53)) + -77?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 759719580 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: 26291 * -743\nAnswer: -19534213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 15 = -5*o, o - 3 = -2*y - 0*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2805\/2*q - 2622675\/4 - 3\/4*q**2 = 0.\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -1195) + -1 + 1. Let j = -113840071\/22 - -5173358. Let t = j + i. Calculate the common denominator of t and -27\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-120)\/48 + (-10)\/4. Let c(v) = -v**2 - 3*v + 9. Give c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.42 - 171.72. Let z = -8 - -178. Let d = b + z. Round d to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326549.\nAnswer: 3, 7, 181, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/(-23))\/((-2)\/4*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/11 + 29603692*c\/11 + 109547322503858\/11 = 0.\nAnswer: -7400923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 0.054.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-6 + 3 - ((-8 - 7) + -5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/260483?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3079951902 or 3079951903?\nAnswer: 3079951903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*b + 16, b + 12 = 2*q + 6*b. Let c = -12 - -10. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294630531?\nAnswer: 2294630531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/6 + i**2\/2 - 84*i. What is g(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143723*x**4 + 142324 wrt x.\nAnswer: -574892*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*z + 1270 = 3901 + 2996 + 7483 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15348504, 15348502, 15348500?\n\"Answer: -2*k + 15348506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1496 + 8570 = -262*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11200110202 (base 3) in base 5?\nAnswer: 10422243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 + 324*j**4 - 7731*j**3 - 54402*j**2 - 114228*j - 77976 = 0.\nAnswer: -2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*n + 2, 0*x + x - n = 0. Let p be (-23)\/(-4) + x - 4. Which is the closest to p? (a) -1 (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 76279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g. Let k be 1 + (-3)\/6 + (-36)\/(-8). Suppose 2*s - r = -4*r - 9, -2*s + 9 = -3*r. Let x(v) = s*v**2 - k*v**2 + 3*v**2. Determine x(l(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295 + -298. Let k(h) = -h**2 - 4*h - 3. Give k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 15*y - 2*y**2 - 58 - 4*y**2.\nAnswer: -7*y**2 + 15*y - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 10 = u. Let t be u\/(2\/(-4)) + 7 + -6. Suppose -c - n = -98, 3*c + n - t*n = 309. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 + -1?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (2 + 16 - (57 - 56))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 786 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (0 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75679058*g - 38387748 wrt g.\nAnswer: 75679058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7575 + 17829 - 8582)*(-d - 3*d + 2*d) as w + s*d and give s.\nAnswer: -3344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - 3*i. Let h be g(-2). Let b = h + 25\/4. Factor -b*d + 0 + 1\/4*d**2.\nAnswer: d*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5936 divided by -2?\nAnswer: -2968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4374\/39 - 2\/13. Suppose -m = h + h - 4*f, 5*h + 255 = 5*f. Calculate the common denominator of h and -43\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.77, 0 in increasing order.\nAnswer: -0.77, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 4*g**2 - g + 4. Let b be i(-3). Which is smaller: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.0362 from 32.2785061.\nAnswer: 33.3147061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 240*f - 172243. Determine b(552).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -5\/2 (c) 0.1 (d) 7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -432\/53?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 785312412 a multiple of 7192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4, -6*k + 12 = -2*k + 4*o. Let s(b) = -b + 11. Let z be s(k). Suppose -z*u + 33 = -u. 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: Four letters picked without replacement from ppsis. What is prob of picking 2 s and 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -282. Let x be -1 - (s\/20 - (-7)\/(-28)). Factor 6*d + 2\/5*d**3 - x*d**2 - 18\/5.\nAnswer: 2*(d - 3)**2*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -24?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smi when three letters picked without replacement from inssintm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 180, 252, 324, 396, 468?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2\/5 (c) 19 (d) 2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 4*s - 145. Let d = -8 - -15. Let q(t) = t**3 - 8*t**2 + 7*t + 5. Let o be q(d). Is s at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -2*s - 5*d, -3*s + 163 = 2*d - 43. Let v = 73439\/5 - 14618. Let h = v - s. Which is the nearest to -0.2? (a) -1 (b) 0.07 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.34, 5, -1\/5, -4 in descending order.\nAnswer: 5, 4.34, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3609 = 64*o - 73*o. What are the prime factors of o?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u - 1. Suppose u*t - 98 = 247. Suppose 5*b - 2*d - 1275 = 0, 0 = 3*d - 2 + 17. What is the greatest common factor of t and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 77.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 + 8 = 0. Solve -2 = 2*l + 3*k - 16, 0 = 3*l - q*k + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 9*o - 18. Determine c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2619127*h + 5238373*h - 2619247*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i. Suppose v - 6*v + h + 120 = 0, i = -v + 3*h + 10. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 332, 5, 4, 3\/5 in increasing order.\nAnswer: 3\/5, 1, 4, 5, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:21 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 31. Suppose 475 = 3*g - 3*v - 1889, -3*g + o*v + 2365 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 5:16 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*c + 126, -227*c - 252 = -4*b - 232*c. Calculate the highest common divisor of b and 792.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -62. Suppose -4*k + 346 = m*q, -5*q = -4*k - q + 328. Calculate the greatest common divisor of k and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-115)\/(-14)*(-66)\/55. Let c = 423\/77 + s. Calculate the common denominator of 46\/5 + (-2)\/(-2) and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.219 - 0.119. Which is smaller: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/23)*w)**(-46) assuming w is positive.\nAnswer: w**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 4. Let b(x) = -1. Suppose -3*q + 7 = -5*h + 26, -2*q + 9 = h. What is q*l(g) + 7*b(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/2721 + -160541\/5442. What is the common denominator of g and 4\/(-26) - 1930\/468?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/5)*s**(13\/2))\/(s**(-15)*s**(1\/5)) assuming s is positive.\nAnswer: s**(227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29044, 29046, 29048, 29050?\n\"Answer: 2*w + 29042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 129 + 36. Let t = z - 15. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12531395 rounded to the nearest 10000?\nAnswer: -12530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 35 - 24 = g, 4*m - 3*g = 113. Let s = 10 - 6. Suppose -42 = -s*i + f, -2*i = -f + 6*f - m. What is the greatest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millisecond in microseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*n - 698*n = -1188*n - 2985 + 710 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*o**3*t**4 - 5*o**3*t - 10326*o**3 + 14*o*t - 14*t**5 + 97*t**2 + t + 1 wrt t.\nAnswer: 360*o**3*t**2 - 280*t**3 + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*1\/4*-2. Suppose -c*d = -118 + 34. Calculate the remainder when d is divided by -4*2\/(-8) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4581*l**4 + 9174*l**3 - 18300*l**2 - 36696*l - 96 = 0.\nAnswer: -2, -4\/1527, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 268*d - 2671. What is y(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 103216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (-1476)\/64 - (-2)\/(8\/(-36))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**2\/2 + 33. Let m(l) = 2*l - 1. Calculate -m(g) - 4*o(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21463476 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/9 and 25\/7409223?\nAnswer: 7409223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25764.0075us?\nAnswer: 0.00000029819453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15 + 252*t - 25 - 296*t wrt t?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnshassannlnanan. What is prob of sequence sna?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15*g**2 + 10*g**2 + 6*g + 15*g**2 + 15*g**2 - 54*g**2 + 9. Let r(p) = p**3 - 19*p**2 + 3*p - 63. Let a be r(19). Determine k(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49391, -98465, -147541, -196619, -245699, -294781?\n\"Answer: -w**2 - 49071*w - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 4)*(-8 + s + 8)*(15 + 168 + 7) as y*s + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(6\/5))**(-20)*o**(2\/51)*o*o*o**(-29) assuming o is positive.\nAnswer: o**(-3619\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291317421?\nAnswer: 3, 47, 2066081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1224 (b) 5 (c) 6\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6408? (a) -18 (b) 2 (c) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r - r + 10*r + r to the form a*r + x and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 60591.\nAnswer: -60590.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 25*y - 289. Determine i(9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*p - 12, -6*p - 2*p + 12*p + 130*b + 528 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - 2.9. Let p = 0 - r. Sort -2\/11, -2, p in descending order.\nAnswer: p, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 6. Let m(h) = 10*h - 24. Let i(k) = 5*k - 14. Let u(c) = -9*i(c) + 5*m(c). Give 4*d(y) + 3*u(y).\nAnswer: -y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 61*p**2 + 240*p + 71. Let g be w(-34). Sort 4, -1, -465, g in ascending order.\nAnswer: -465, -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*(-1)\/(-10))\/((-2)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8978 is divided by 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 71. Solve a = 2*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = 5*w + 38, 4*w = -3*v - 29. What is the least common multiple of ((4160\/(-15))\/w)\/(2\/3) and 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 44\/5 of a millisecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -39. Sort s, 2, -3 in ascending order.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8086554.\nAnswer: 2, 3, 7, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 96187616*d - 288562812.\nAnswer: -4*(d - 24046901)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f. Let b be (-1 + 1\/(-5))*5. Give n(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015 a factor of 1493723756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + -16 + 23\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 + 3*w + 1. Let c = -2 + 0. What is the tens digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 90 = -5*f. Suppose d - f = -4*l, l + 2 = -l + 5*d. Suppose 2 + 2 = -5*p + 3*x, l*x - 11 = p. Are 4\/5 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (0 + sqrt(637))*5 + (sqrt(637) + 2)**2 + -3 + 0.\nAnswer: 63*sqrt(13) + 643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 38013 = -9*o + 37956, -5*o - 4*x - 18 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 282*w**2\/7 - 2160*w\/7 + 608.\nAnswer: -2*(w - 133)*(w - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3298011, -3298132, -3298277, -3298458, -3298687, -3298976, -3299337, -3299782?\nAnswer: -3300323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o - 25333 = -o + 144*o + 309*o for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q + 3*q - 2*q + q**2 + 5 + 0*q. Is g(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1. Let v(u) = -5*u + 64. Let w(z) = z - 9. Let y(c) = v(c) + 6*w(c). Give 36*l(d) - 4*y(d).\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4822085 and -0.2?\nAnswer: 4822084.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 24*c - 1 - 24*c - c**3 + 50*c. Let q be n(3). What is the common denominator of (0 - 2) + 292\/q + 0 and 53\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28783 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -201*w + 964. Let l(t) = 71*t - 321. Give 17*l(s) + 6*z(s).\nAnswer: s + 327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 20021?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 360219 to the power of 1\/2, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -5, 1818, -2, 2.\nAnswer: -6, -5, -3, -2, 2, 1818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2737, -2734, -2729, -2722, -2713, -2702?\nAnswer: -2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20821797 to the power of 1\/2, to the nearest integer?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/23 (b) -7 (c) 1\/2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (2 - 5) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/80 and 43\/104.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**5 - 29683*c**4 - 70338*c wrt c?\nAnswer: 120*c**3 - 356196*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 51.35, -1\/43, 2\/21, 0?\nAnswer: 51.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 741638.9 meters in nanometers?\nAnswer: 741638900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -3*v + 77. Let n = -59 + v. What is the remainder when 31 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 - 117?\nAnswer: -119.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7548, 7577, 7646, 7755?\n\"Answer: 20*a**2 - 31*a + 7559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 31*c + 1\/2*c**2 + 0 - 1\/3*c**3. Give i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 614.21 - 609. Let r = -0.21 + j. Let q be 34\/24 + 2\/(-3). Sort q, 4, r in ascending order.\nAnswer: q, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001122330 (base 4) to base 10.\nAnswer: -1316540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(208))**2)*-5.\nAnswer: -1035 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.24. Let b = m - 0.26. What is the biggest value in 1\/4, 3\/5, b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -92. Let s be (0 + 1)\/(1\/4). Let y = s - v. Is -4 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1689*i**3 - 1229*i**2 wrt i.\nAnswer: 10134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 4, 0.4, -1.1, -13\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*r = 329*r - 679*r - 3*d, r - 4 = -4*d for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*i = -o + 9, 0 = -5*i. Let c(t) = t**2 - 2*t + 3. Determine c(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -357050.\nAnswer: 3\/71410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 1264, 2949, 5308?\nAnswer: 8341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808.000469 + 21.7.\nAnswer: 829.700469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 1. Let u be l(-1). Suppose -100 = -8*s + u*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6 = 5*z - 6, -2*y + 16*z + 46 = 7*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - -3*sqrt(192))\/sqrt(6) + 5)**2.\nAnswer: 160*sqrt(2) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 80*x + 190. Let z(l) = l. Let o(g) = -s(g) - 3*z(g). Let m be o(-5). What is the greatest common divisor of m and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.111 + 0.101. Which is smaller: 2\/349 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 140. Let l(n) = 7*n - 278. What is -2*l(d) + 5*z(d)?\nAnswer: d - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3 + 4 - 4 - 1 + (-3 + 5 + 0)*(-1 + 3 - 1))*(4 - 4 + 5*b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/264 and -74\/759.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/58 and ((-107)\/(-226519))\/(6\/192).\nAnswer: 4234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 141908, 142071, 142320, 142661, 143100, 143643?\n\"Answer: u**3 + 37*u**2 + 45*u + 141825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1452145*p**2 - 1319197.\nAnswer: -2904290*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 35469544.\nAnswer: 35469544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, 4.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 27. Determine w(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llla when four letters picked without replacement from aallaaaalaaaaa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 <= 73894\/2043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - -1.49. What is the smallest value in 5, -4, -0.4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 32. Solve h - 10 = 5*b, -14 = l*b - 4*b + 4*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10)*o*o\/(((o*((o*o*o**(1\/8)*o)\/o)\/o)\/o)\/o))\/(o\/(o\/(o\/(o\/(o*o**(8\/3)))))*o**6\/o) assuming o is positive.\nAnswer: o**(-403\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134311 is divided by 13429.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 415*n**2 - 582*n - 7410. Calculate p(206).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16077 (base 8) to base 3\nAnswer: 100220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*4\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1354843 - 0.1355. What is a rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64.7 + -69.7. What is the fourth smallest value in -8, -2\/15, z, -14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18161 divided by -300?\nAnswer: -18161\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -21311*o**3 + 21323*o**2 - 12*o = 0?\nAnswer: 0, 12\/21311, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23743 is divided by 1323.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = 4*q + 347. Let f be q\/(-6) + (50\/15 - 3). Differentiate f*h**3 - 13 - 13 + 31 wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6083, -6081, -6077, -6071, -6063, -6053, -6041?\nAnswer: -6027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 0*p**2 - 2\/3*p**3 - 1 + 0*p. Let u(n) = 8*n**2. Give u(w(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((v**(-4)*v)\/v*v)\/v)\/v)**(2\/9))**(-1\/79))**(-4\/5) assuming v is positive.\nAnswer: v**(-8\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/36*(-2)\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.69146um to millimeters.\nAnswer: 0.04269146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*w = 39, 209*i - w - 15 = 212*i. Let u(p) = -21*p - 20. Determine u(i).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1310715.83.\nAnswer: -393214.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 + 0*w**2 + 0*w**2)*(-10 + w + 10) + w**3 + w**3 + 0*w**3 + 3*w**3 - 4*w**3 + 0*w**3 to n*w + c + a*w**2 + x*w**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2773\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2798.3 * 0.2\nAnswer: -559.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/232 and 41\/638.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-138)\/138*(-28)\/4. Let q be (1 - 1)*(-2)\/(-4). Sort -2, q, s in increasing order.\nAnswer: -2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**3\/9 - 10*c**2 + 500*c\/3 - 3979. Factor m(p).\nAnswer: (p - 50)*(p - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3, -27, -1\/2, -0.01, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/(-4) - (-9)\/(-18). Let w be 8\/(-2) - -2 - b. Suppose -3*z = 2*s - w, 4*s - 2*z = z + 41. What is the highest common divisor of 88 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (169\/364 - 4\/(-14)) + 3393\/52. Calculate the greatest common divisor of t and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 17121766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (753\/(-2) - (45 - 40) - -5)*-82 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 155?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -0.33. Let q = 6.04 + -0.44. Let t = q - 6. Which is the biggest value? (a) t (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g. Let y(h) = 8*h. Let f(q) = -4*k(q) - 3*y(q). Let b(w) = 10*w**2. What is f(b(d))?\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/3 + 131426*y**3\/3 - 262834*y**2\/3 - 657122*y\/3 + 262844 = 0.\nAnswer: -2, 1, 3, 65711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 4040\nAnswer: -4040.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 38 = 4*c, 0*h + 40 = 3*h - 5*c. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17 = -4*t, -4*t + 8*p - 12*p + 20 = 0. Solve 0 = n - 5*s - 5, 30*n - 25*n + t*s + 29 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1539424 (base 13) to base 4\nAnswer: 121321210330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.142 in -1068, -0.4, 1.1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(((-35)\/5)\/7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 531048 and 39.\nAnswer: 6903624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -270*z. Let r(k) = 2*k + 3. Give r(t(c)).\nAnswer: -540*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*j + 183, -5*o + 51 + 148 = j. Let p = o + -11. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-48))\/((89\/10680*-45)\/((-18)\/16)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 times -6?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + -853473838506?\nAnswer: -853473838544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5936610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 - 5*r**3\/6 + 29*r**2 + 2*r - 14. List the prime factors of h(0).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omro when four letters picked without replacement from {b: 1, o: 2, r: 1, l: 1, v: 1, m: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 - u - 2. Let t(d) = 2*d + 7. Suppose 5*l = -q - 20, -4*l - 2*q = -6*q + 40. Let o be t(l). Let s = o - -5. Determine m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*g**2 - 2*g - 66*g**2 + 2*g + 132*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 17\/4*l**4 - 31*l + 83\/6*l**3 + 0 + 0*l**2. Find the second derivative of s(o) wrt o.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 10. Let j be m(6). Suppose t - 5*s - 1 = -19, -j*t - 5*s = -24. Let p = 8 - 8.3. What is the third smallest value in p, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - b + b. Let c(r) be the third derivative of r**5\/60 + r**2. Give k(c(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (84\/33)\/((-96)\/528)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -16*v**2. Let n(a) = 357843*a**2. What is w(n(i))?\nAnswer: -2048825802384*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w**4 - 9*w**3 - 51*w?\nAnswer: 48*w**2 - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -584 plus 112.5?\nAnswer: -471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3281497, 6562994, 9844491?\n\"Answer: 3281497*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 12 = -5*c. Is (-70)\/21*15*1\/c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 14*k + 19. What is the remainder when 41 is divided by a(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.069 + -0.069. Let k = i - 41.05. Let q = -0.0500008 - k. What is q rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = 3*i, 25 = -4*u - 2*i + 17. Which is the fourth smallest value? (a) 3\/31 (b) -2\/3 (c) u (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(684)*-2 + -2)**2.\nAnswer: -144*sqrt(19) + 24628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 473.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2161150 and -0.5?\nAnswer: -1080575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18970 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200 + 2*x**2 - 7*x**2 - 387 + 192 to the form q*x + z*x**2 + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 (base 3) in base 15?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 4*p + 2. Let z be q(-2). Let d = 13 - z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9905 and -9905 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 13 + -2 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 843 and -3.\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-27)*r)\/r**(-10) assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 6*r)*(r + 4*r**2 - r).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858446635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/19 + 24*i**2\/19 - 90*i\/19 + 108\/19 = 0. What is i?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 9*t**2 + 2*t - 16. Let g be v(9). Suppose q + g*q = -q. Suppose 0*h - 4*h - 1600000 = q. Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*f**2 + 724*f + 504 = 0. Calculate f.\nAnswer: -2\/3, 63\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*n**2 - 7*n**3 - 103*n**2.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + g)*((4 - 1 - 4)*(1 + 0 - 8) + 2 - 4 + 4).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67693.63l to millilitres.\nAnswer: 67693630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15890, 31791, 47700, 63617, 79542?\nAnswer: 95475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7566 - 2289. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 2. Let b = 5 - c. What is the second smallest value in b, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269783 or -269782?\nAnswer: -269782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 96*d**3 + 202*d**3 - 105*d**3.\nAnswer: d**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*o**2 - 223*o**2 - 217*o**2 - 154*o**3 + 145*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0578 to 3 decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2411365, -4822747, -7234127, -9645505?\n\"Answer: q**2 - 2411385*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in decades?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 31 - -17) + 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 2)*(-5)\/15. What is the units digit of (-19)\/l + 5\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 959. Let f = b - -779. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 57. Let c(s) = s + 1. What is c(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 168 - 84 = 0. Let c = a - -31. Let t = 16 - c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f - 4*f + 0*f)*(-2*f + 2*f + 4*f**3) + 3*f**4 + f**4 - 5*f**4)*(-f + 5*f - 2*f)*(-6 + 5 + 4).\nAnswer: -78*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkkkkkkkkkk. Give prob of sequence kkkk.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 400\/22 - 6\/33. What is the units digit of 140\/y - 4\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**3 + 3*g - 5. Suppose 0*h + 6 = 2*h. Let o(f) = 4*f**3 + f - 2. Suppose 173*c + 55 = -5*a + 175*c, c - 24 = 2*a. What is a*o(d) + h*p(d)?\nAnswer: -d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2. Let v(k) be the third derivative of 0*k**3 + 0*k + 0 - 5*k**2 - 1\/8*k**4. What is i(v(g))?\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/8 - 105*v**2\/4 + 253*v - 600 = 0. Calculate v.\nAnswer: 4, 6, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -35. Does 14 divide (-3072)\/(-27) - (-2)\/b - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 2 p when four letters picked without replacement from {f: 9, p: 8, u: 2}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -4.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Suppose 8*g - 11*g + 24 = 0. Let n(z) = z**3 - 8*z**2 + z - 6. Let f be n(g). Which is the second smallest value? (a) f (b) -3\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012441 (base 6) in base 9?\nAnswer: 316537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 17*m + 84. Let b be y(4). Solve -2*h + f - 3 = b, 0*f - f = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -319316.\nAnswer: 65\/319316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 7*w**2 + 60*w - 158. Give k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 126 * -15142\nAnswer: -1907892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02456017197 to 5 decimal places.\nAnswer: 0.02456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-33) - (-17)\/3. Suppose -4 = n*l - 34. Let k = l - -84. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:48 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -88, -126, -168?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p + 11. Give f(-10).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 38*v**4 - 5*v**3 + 5*v**2 + 29. Let d = -21 - -16. Let u(o) = -57*o**4 + 8*o**3 - 8*o**2 - 43. Let a(k) = d*u(k) - 8*f(k). Differentiate a(g) wrt g.\nAnswer: -76*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18b + 2a?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*d**3*w - 2*d**3 + 261*d**2*w + 9*d**2 + 2*d*w + 4*w - 43357954 wrt d.\nAnswer: 654*d*w - 12*d + 522*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41665 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 81 - 333 = 0. Suppose 0 = 5*p - x - 11. Suppose -19*u = -p*u - 540. Round u to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -45*a**3 + 11*a**2 + 21*a - 6. Let g be z(-8). Round g to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 + 1412 = -2*q. Let c = 452 + q. What is the greatest common divisor of 121 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.1. Let h = 476 - 476. Let r = h - n. What is the closest to r in 1\/2, 2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (1 - 4)) + (-19 - (-26 - -4))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f + 15. Let q(w) = -22*w - 6. Let b be q(f). Suppose -5*v + 5*i + b = -0*i, 0 = 3*v + 3*i - 24. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 24 = -g, -t + 1 - 3 = 0. Solve 2*q + q**4 + g*q**3 + 11*q**2 + 7*q**2 - 2 + 7*q**4 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18159309 is divided by 414.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143681.66us in days?\nAnswer: 0.00001323705625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844774703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/9334 and 14\/195.\nAnswer: 140010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 98930 = -49636. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 + 68703*x**2\/4 - 294963444*x - 1475246645.\nAnswer: -(x - 34354)**2*(x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 12 = 4*h. Let f = 14.18 - 18.1. Let v = f - 0.08. What is the nearest to -1 in v, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15*-1*(-9)\/(-27). Let l = 6 + -3. Suppose 5*k + 1 = -14. What is the biggest value in v, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2989.9 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykn when three letters picked without replacement from {g: 10, k: 3, n: 3, y: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*x*x\/(x**19*x))\/x))*x)**(-7)*(x**(-14))**12 assuming x is positive.\nAnswer: x**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89969 >= 89974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + i + 222 = 0, 2*a - 7*a - 4*i = -267. Suppose a*o - 43*o - 60 = 0. Let h(m) = 6*m + 1. Let n(t) = -2*t + 10*t + 1 - t. Calculate o*n(q) - 6*h(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h - 25 + h - 2*h + 3*h. Let m be u(-14). Let i(x) = -x**2 + 3*x. Determine i(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -48, -100, -204, -360, -568?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85 - -3?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 709.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (264\/1232)\/((18\/16)\/3)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 80\/((-30)\/3). Solve 3*m = 5*l + y, 11 = -l + 7*m - 4*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 12*j**2 + 9*j - 31. Let q be h(13). Let n = q - -83. Suppose -2 = -2*y, n = -3*w - y - 2*y + 1614. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2721 - -2720. Let u(r) be the second derivative of -956*r**3\/3 + 3*r**2\/2 + r. Is u(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -45*m + 4. Let f(k) = -11*k + 1. Let x be (-2)\/(-16) + (-5621)\/616. What is x*f(c) + 2*v(c)?\nAnswer: 9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -52, -34, 18, 116?\n\"Answer: 2*j**3 - j**2 - 15*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 162599*k + 26438434801\/2.\nAnswer: (k - 162599)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + k**4 + 2*k**4)*(-5 + 2 + 2) + (5 - 5 + 38*k)*(k**3 + 2*k**2 - 2*k**2).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7315*r**2 - 515 wrt r.\nAnswer: 14630*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 6*h - 236. Let q = -42 + h. Solve 2*k + 8 = q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 7*h - 3. Give m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2881, 4, 17, -2, 1, -4, -1.\nAnswer: -4, -2, -1, 1, 4, 17, 2881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.275 + -102.975. Let w = y - -101.5. What is the biggest value in -3\/2, 7.3, w?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 13 + -10 + 31 + -6 + -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193851958 * -0.4.\nAnswer: 77540783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121151149 divided by -5.\nAnswer: 121151149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151176 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 b when four letters picked without replacement from {e: 1, c: 1, d: 1, i: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 7 - (-1 + -4). Solve l*g - 13*g + 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -701*y + 685*y + 352. Calculate the remainder when 252 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485542.8 micrograms to milligrams.\nAnswer: 485.5428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/1707 + -3568\/18777. Let k = 0.08 + 63.92. Sort k, -5, q.\nAnswer: -5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/5)\/((-105)\/(-700)). Let i(q) = -q**3 - 7*q**2 + 9*q - 8. What is i(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -94*v**3 - 14*v**2 - 10*v + 14. Let g(d) = -19*d**3 - 3*d**2 - 2*d + 3. Determine -3*b(k) + 14*g(k).\nAnswer: 16*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -153246 (base 8) in base 10?\nAnswer: -54950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4778 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 12 + 4*q - 2*q)*(-2 + 1 + 0).\nAnswer: -2*q + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/24)\/(1\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 11. Determine l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 7*j - 50. Solve r + 21 = -4*r - j*n, 5*r + 13 = n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + r - 10469 = h, 3*r + 10485 = 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -407.1 + 407. What is the second smallest value in 2\/15, -7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 9662406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -55*v**2 + 95*v - 96. Give u(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 1a1914?\nAnswer: -1a1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12982 = 53*n - 50*n + 2*r, 21632 = 5*n + 4*r. Does 38 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-30) + (12 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7 - -2))\/(1615\/12350 - (-9)\/(-39))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2274 * -545\nAnswer: 123.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -50*q**5 + 1345*q**4 + 4485*q**3 + 4885*q**2 + 1945*q + 150 = 0.\nAnswer: -1, -1\/10, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/13, 1, 3, 2 in ascending order.\nAnswer: -0.3, 2\/13, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -704*a**5 + 713*a wrt a.\nAnswer: -14080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -172, -411, -756, -1213, -1788?\n\"Answer: -a**3 - 44*a**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -320?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulx when three letters picked without replacement from xxbxbbxbmxqluubx?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*f + 920*f = -989*f + 216192 for f.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52250 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/8 - p**3\/6 + 3*p**2\/2 + 4*p. Let s(t) be the first derivative of a(t). What is s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2478 divided by -1239.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 18*a + 4. Let r be z(18). Let c be ((r - 4)\/(-5))\/(-1). Let j(l) = -l**3 + l**2 + 39. What is the tens digit of j(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 - 720 + 4*b**2 + 566 - 3*b**2 + 9*b.\nAnswer: b**2 + 9*b - 377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*y = -151 + 151, 4*y = -y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, s: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410447.9647 - -410836.9646623. Let k = -506 - -117. Let c = k + r. Round c to 6 dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512341 (base 8) in base 2?\nAnswer: 11101001010011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.659934 + 910?\nAnswer: 915.659934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58\/7 + -8. Which is the closest to 1\/3? (a) 1\/3 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199238585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12\/7)\/(g\/((g*g**(-7))\/g)))\/((g\/g**(-2\/25)*g)\/(g\/(g**11*g))) assuming g is positive.\nAnswer: g**(-3989\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.51 (b) -16 (c) -2 (d) -4\/13 (e) -1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (4 - -11) - -3. Let r = 11 + v. Let n(q) = -q**2. Let o(z) = 6*z**2. Let m(l) = r*n(l) - o(l). Factor m(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z**5 - 12*z**4 + 83*z**3 + 14*z**2 - 49*z = 0.\nAnswer: -7\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11943 and -1.\nAnswer: 11943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 9:46 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*c = -9, 2*o = c + 3 - 2. Let l be o*((-7)\/(-2) + -4). Let w be (-13)\/3 + 1\/3. What is the nearest to 1\/4 in w, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/357 and (-3)\/(-486)*-453*3\/68.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t + 4*i - 16, t + 3*i - 12 = 0. Suppose t = 7*q - 2*q - 125. What is the remainder when 48 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a factor of 16295744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19\/418*33 + (-151)\/120 - 5\/25\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -1, 459, 5 in ascending order.\nAnswer: -2, -1, 3, 5, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26416640 less than -1.399?\nAnswer: 26416638.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/21*(-119)\/(-51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*s = -8, 16 = 5*k - 1046*s + 1047*s. Solve -c + 9*l + k = 10*l, -4*c - 5*l + 13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15174189\/167940860 - 7\/125329. Find the common denominator of -51\/44 and g.\nAnswer: 14740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 12, 0 = -3*l + 3*y + 20516 + 28144. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190 divided by 1095?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988 is divided by 1921.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -847641 + 1081.27.\nAnswer: -846559.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let z(p) = -13*p**2 - p**2 + 5*p**2 + 7*p**2. Give z(a(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**10*r)*r*r**(-11)\/r)\/(r**(-25)*r**(-1\/3)\/r) assuming r is positive.\nAnswer: r**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -70*i**2 + 0*i**3 + 0 - 22\/15*i**5 + 0*i + 17\/3*i**4. Find the second derivative of o(b) wrt b.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -508 - -794. Suppose -5*m + j = 4*s, 2*s = 4*m - 2*m - 100. Let o = 42 + m. What is the lowest common multiple of o and 18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23314 - 1231?\nAnswer: -30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00253338 rounded to 6 decimal places?\nAnswer: 0.002533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 5*f - f)*(-15*f**2 + 29*f**2 - 81*f**2) to the form c*f + g*f**3 + l*f**2 + d and give g.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*p**2 - 37917088*p - 798190952 wrt p?\nAnswer: -28*p - 37917088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-29790)*-2*(4\/8)\/((-7)\/70).\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/10 (c) -0.2 (d) -2.3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3344798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*20*69\/920\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 + 92.8575. Let y = -0.1425837 - h. What is y rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 33*v. Suppose -i - 6 = 0, 470 = 5*b + 5*i - 225. Let g(u) = 1189*u. What is b*p(x) - 4*g(x)?\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 14*s**2 - 3*s - 31. Suppose 2*w = -5*f - 58, 0 = -76*w + 72*w + 5*f - 26. What is n(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16 - 6*p + 2*p + p**3 + 5*p. Let k(y) = -y**2 - 4*y. Let i be k(-4). What is the units digit of h(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:02 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 41960*m**4 - 87990110*m**3 + 176106120*m**2 - 88074045*m = 0. Calculate m.\nAnswer: -4197, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 478744.273 to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1165, 2314, 3463, 4612?\n\"Answer: 1149*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7226\/1005 + -2\/201. Calculate the common denominator of w and 17\/3*(-12)\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-159 - -159)*(-2)\/8. Solve -16*w + 12*w + 24 = o for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*j + 38637, -t - 4*j - 747 = 6960. What is t rounded to the nearest one hundred?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 divided by 4?\nAnswer: -313\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 35*c**3 - c**2 + 24*c - 77. What are the prime factors of j(7)?\nAnswer: 7, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1288, -10246, -34564, -81922, -160000, -276478?\nAnswer: -439036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2612 = -2*m, -3*o + 2*m - 10418 = o. Let a = o + 3815. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*(-29)\/58\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.65 + -4.35. Put k, -1, 5 in increasing order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -7*g**3\/6 + 19*g**2\/2 + 5*g - 20. Let k(c) = c + 5. Let d(i) = -2. Let w(u) = 12*d(u) + 3*k(u). Give -2*a(j) - 5*w(j).\nAnswer: -j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 18*o**2 - 18*o - 17. Give j(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:11 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/47? (a) -2\/17 (b) -0.5 (c) 0 (d) 3\/2 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*g**2 + 20*g**2 + 13*g**2)*(-7 + 7 + 2*g**2 + g) in the form k*g**3 + m*g**4 + h + j*g**2 + l*g and give m.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 53762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25662658 and 4816.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-35100)\/(-9360)*5\/(50\/128)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2172\/(-4432))\/(11\/(-4)). Let t = 1\/277 + a. Let m = -230.05 + 230. Is m at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 2866*z**2 + 2867*z.\nAnswer: -z*(z - 2867)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/17 - 190*o**2\/17 - 92*o - 1376\/17 = 0.\nAnswer: -86, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:18 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2796 - -333. What are the prime factors of g?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103.9 * 0.4\nAnswer: 41.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*7\/(-224) - 74\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 9213111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 41177*o. Let u(f) = -2*f**2. What is u(r(j))?\nAnswer: -3391090658*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*h**3 + 2 - 2 - 179*h**3 + 537*h**3 - 189*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1345 - 640. List the prime factors of o.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69805 + 69804.579934. Let u = 0.48 - 0.9. Let a = f - u. Round a to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4917.5 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 62028 times 40\nAnswer: 2481120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/25 of a tonne?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/17, -1\/3, 10\/41?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 1, l: 13, w: 1, h: 2}. What is prob of sequence zh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2*p**2 + o**2*p - 473*o**2 + 17*p**3 wrt p.\nAnswer: -4*o**2*p + o**2 + 51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*(-11)\/4*-2. What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189032034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198703*h**2*q**2 - 357*h*q**2 - 121*h*q wrt h.\nAnswer: 397406*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53614720.\nAnswer: 2, 5, 83773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 2 - (-895 - -821)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q**2 + 2*q + 2. Let z(c) = c**2 - c - 1. Let l(r) = t(r) + 2*z(r). Let d(m) = -2*m**2. What is d(l(u))?\nAnswer: -800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 56*s**2 - 1. Let z(t) be the second derivative of 0*t**3 + 0 + 0*t**2 - 174*t + 1\/6*t**4. Calculate z(p(l)).\nAnswer: 6272*l**4 - 224*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130.16822 - -131.36. Let s = w + -1.2. Round s to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8186688 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5776*l**2 - 3*l + 3. Let r be w(2). Let d = -12307 - r. Round d to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(612) - sqrt(17)) + 1) + (2 + 4*sqrt(17))*6)*-1)**2.\nAnswer: 754*sqrt(17) + 14466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -1.9. Let d = 12 + m. Let k = d - 0.9. Which is the biggest value? (a) 1\/6 (b) -6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6309 and 597.\nAnswer: 1255491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222616.998us to days.\nAnswer: 0.000002576585625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*(-20)\/(-35))\/(45\/315). Suppose n + 2 = 1. Sort 2, x, n in ascending order.\nAnswer: x, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(sqrt(98)*4 + -1 + (sqrt(98) - (3 + sqrt(98)*4))) + 1)**2.\nAnswer: -672*sqrt(2) + 1138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 4:49 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 8*u - 32 = 4*n, 16 = -2*u - 4*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762892?\nAnswer: 2, 13, 17, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 1 - 23 = 0. Suppose 5*y - 16 = -p*o + 3, 2*y - o = 18. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420412)\/3446)\/((-6)\/3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 2. Let m be p(1). Let y = 4 + -2. Let t = y + m. Is t less than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3*y - 6. Let l be c(5). What is the second derivative of 9*z + 1938 - 1938 - 17*z**l wrt z?\nAnswer: -204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -881541 = -2644622\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-91)\/26)\/7)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 87. Determine q(32).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x + 152. Let p be j(-15). Let v(w) = 4*w**2 + w + 7. Let h(r) = -11*r**2 - 3*r - 20. What is p*v(s) + 6*h(s)?\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**7\/42 + 2*v**6\/15 - v**5\/10 - v**4\/3 + v**3\/2 + v + 8. Find y such that c(y) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 16) to base 10.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:32 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 538921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - m + 1\/2*m**2.\nAnswer: m*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 309 = -14*r, 37 + 15 + 23 = -4*p - 3*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5, 3, -7, -2, -908 in increasing order.\nAnswer: -908, -7, -4, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 440 = 0. Let q = -71 + w. Let o = q + -31. Calculate the greatest common factor of o and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 270, 246, 190, 90, -66, -290?\n\"Answer: -2*k**3 - 4*k**2 + 2*k + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512 is divided by 4582?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2311898539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 102? (a) -39 (b) -25\/2 (c) 8\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6821304 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**2 - 14*f**2 - 22*f**2 - 11*f**2 + 65*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*b - 33*b - 21*b + 140*b - 2*b.\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 5*v - j - 321, 530 = 5*v + 2*j. What is the remainder when 1729 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102122020 + -22121?\nAnswer: -22102221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 14 = 14*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 2*f + 2. Let w(u) be the first derivative of 7*u**3 - 11*u**2\/2 - 11*u - 5. Let l(t) = -11*s(t) - 2*w(t). Let r(y) = y. Calculate l(r(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 2*q - 95, 3*q + 57 = -2*p. Let j(s) = s**3 + 20*s**2 - 20*s + 25. Let r be j(p). Is r not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190444, -381163, -571882, -762601?\nAnswer: -953320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 24 = 137 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobbbbobbb. What is prob of picking 2 b?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146.6 - -146.8. Sort j, -18, -7, 5.\nAnswer: -18, -7, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13c7c4 - -3?\nAnswer: -13c7c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1154*f + 2417*f - 1271*f - 41.\nAnswer: -8*f - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6963454 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 4, i: 1, z: 6}. What is prob of picking 2 z and 1 m?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/4 + 5*y**4 - 91*y**3\/4 + 23*y**2 + 23*y - 28 = 0.\nAnswer: -1, 1, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2 - 125. Let c(o) = -1 - 3 + 8*o + 4. Give c(g(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9099 and 45495?\nAnswer: 45495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*r - 470 = 0, 4*w - 4*r = 3*w + 72. Suppose 2*j - v - 4 = -72, -3*j + 4*v - w = 0. Let d = j - -36. Which is bigger: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8398 (b) 5 (c) -64 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 2, 16\/9, -0.5, -4\/27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 21 = -3*h, 0 = 3*r - 8*r + 5*h - 25. Let u(q) = 2*q + 15. Let z(s) = -s - 8. Let j(v) = r*u(v) - 11*z(v). Determine j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 2*r - 257. Give k(0).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1284 + 1295. Are -18.9 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -4, 24, 1, -38, 0.2 in ascending order.\nAnswer: -38, -4, -2\/21, 0.2, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/1 + 526\/4)*(-153 - -191)?\nAnswer: 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7258846 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.8743ml to litres.\nAnswer: 0.0978743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336 divided by -4?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-7 + -1 + 8)) + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 11, s: 6}. Give prob of picking 1 c and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148500.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 12*r + 5. Let i be c(0). Suppose 3*j + 3*b = 45, -2*b + i*b - 9 = 0. What is the greatest common divisor of j and 1536?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, 1 k, and 1 a when four letters picked without replacement from kkudkkdadkkkannaad.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9113601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -114480 divided by -54\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (-10 - (-24 + 11)) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11036 - 11009. Suppose -2*l + 0*l + 270 = 2*b, 0 = b - 5*l - 123. What is the remainder when b is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8227, -16453, -24679, -32905, -41131?\nAnswer: -49357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4.99. Let x = j - -0.19. Let d = x - 0.20000002. Round d to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/360 + r**5\/30 + 5*r**4\/8 - r**3 + 11*r**2. Let d(q) be the first derivative of c(q). Is 27 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.84 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020010101122 - -122010?\nAnswer: 2020011000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 2*a - 4*a)*(3 - 3 - 4*a + (147 - 147 - 5*a)*(0 + 2 + 0) - 4*a + 2*a - 11*a).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 8. Let d(y) = -y + 3. Let z(w) = 8*d(w) + 3*v(w). Let a be z(1). Let t be (1 - 6\/(-54)) + 2\/(-2). Is t at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/(-10))\/45*6*4\/450?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:12 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:03 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 270\/216 - 173\/140. Suppose 7*k = 12*k - 5. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 5:38 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03229484335 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -14, 40, 128, 262, 454, 716?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*m - 7*m + 5*m + (10 + 2 - 4)*(-3*m + 1 - 1 + 3 - 3 + m + (2 - 5 - 2)*(-4*m + m + 2*m)) to the form q + u*m and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 17*g - 18. Let c be p(18). Solve c = -3*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 955 - -3300. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5663, 5668, 5673?\nAnswer: 5678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 8)\/(-4 + 2). Which is greater: t or -4\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/6 - p**4\/4 + p**3\/2 - 2*p**2 + 11. Let s be x(1). Solve 3*u - i + 0 = s, -10 = -5*u + 2*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 8*t - 5. Let v be j(7). Suppose -v*c - 25 = -3*c. Let d = -3 - -6. Solve 0 = d*f + 5*o + c, -2*f = -3*o + 4 - 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(22 + k**3 + 2*k**2 + 66*k**3 + 5*k - 69*k**3).\nAnswer: -2*k**3 + 2*k**2 + 5*k + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.235778ml?\nAnswer: 0.007235778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -5514?\nAnswer: -5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118842 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*2)\/sqrt(10) + -5 - (-1 + (4*sqrt(432))**2).\nAnswer: -6916 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28842528 by 14898.\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1 - (-1 - -3)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4125 = 5*h, -h + 10 - 7 = 0. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -14. Let w = 0 - a. What is the greatest common divisor of 15 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxxxkkkkkx. Give prob of sequence kkkx.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3867 to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 27*u + 625. Let o be l(-23). Put o, -153, -2 in decreasing order.\nAnswer: o, -2, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*k + 2*q + 3, 0 = -12*k - q + 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2148899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -6\/11, -23.\nAnswer: -23, -6, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033606 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 5*l)*(-4*l**3 + 7*l**3 - l**3) + 5*l - 5*l + 3*l**4.\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 125*u - 732 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let o = 78326\/225 - 3128\/9. Is f at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/7 (b) 2294 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v**3 + 388*v**2 + 7964*v - 8340 = 0. Calculate v.\nAnswer: -15, 1, 139\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5217*u + 8612*u + 54 + 9538*u - 54 to the form v + k*u and give k.\nAnswer: 23367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:13 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p + 18. Let d = p - 4. Differentiate -1 + 0 - 3*f**4 + d*f**4 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2554122 (base 10) in base 8?\nAnswer: -11574412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/((-255)\/6)*(4 + 1916\/(-484)). What is the closest to 9 in -0.2, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 + 12160*v + 134365 = 0.\nAnswer: -11, 2443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1840 and 36.9.\nAnswer: 67896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-9))**34)**32 assuming b is positive.\nAnswer: b**(-8704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 12*g + 11. Let o be z(-6). Suppose -o*l + 2597 = 430. What are the prime factors of l?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 58*z. Suppose 0 = -10*m + 4*m + 72. Let o(u) = -23*u. Give m*o(q) + 5*r(q).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -4.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2 - 325776*v + 325778 = 0.\nAnswer: -162889, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 11. Let u be (-2 - 21\/(-9)) + 102\/18. What is the smallest common multiple of 45 and p(u)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:25 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 - 5*v**2\/2 + 5*v - 21. Let j(r) = -r + 1. Determine d(b) - 5*j(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-10)*4*(-4)\/(-8). Let z be 1\/((-1)\/((1 + 4)*h)). Solve u + 3*c + 0*c = -6, -z*c = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 202 and 4040?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/19 (b) -226.7 (c) 0.0407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 + 4*x**2)*(-11 - 3 + 2 - 1 - 3 + 3 + (2 + 0 - 3)*(4 - 3 - 3) + 2 + 1 - 2 + 3 - 3 + 1)*(2 + 1 - 1).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*w**3 + 258 - 125 + 3 - 136.\nAnswer: 468*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.67 - 1.71. Which is the fourth biggest value? (a) -3 (b) h (c) -0.2 (d) -0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17822 and 17822 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.119092 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 - 2*g**2 + 4*g**2)*(-4*g + 4*g + 3*g) + (2 - 5 + 5)*(16*g**3 + 17*g**3 - 23*g**3) to d*g**2 + w*g**3 + p*g + t and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112347, -112345, -112343, -112341, -112339?\nAnswer: -112337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3\/2 + 378*f**2 + 31752*f + 889056 = 0.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-10)*(-2)\/(-3). Let x = 14 + -10.1. Let j = x + -4.1. Which is the nearest to d? (a) -5 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 1010?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4367, -4375, -4399, -4445, -4519, -4627, -4775, -4969?\nAnswer: -5215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 30. Let t = -18 - -9. Let c be (-3)\/t - (-1)\/3*125. Calculate the greatest common divisor of c and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/141 + 19\/552*10 and 119\/100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101 + 11011111011?\nAnswer: 11101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -533*p + 908*p + 730*p in the form b + j*p and give j.\nAnswer: 1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(2\/3)*w*w*w)*w\/(w*w*w**(-3\/4)))**30 assuming w is positive.\nAnswer: w**(-235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2 + 8. Let g = -16 - -24. Let j(r) = -2*r**2 + 3. Give g*j(c) - 3*d(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3173 - -3172.7. What is the second biggest value in 1, -1.43, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f + 17. Let s be (-3)\/12 + (-174)\/8. Let h = f - s. Solve -4*i + 2 = -k - 10, -3*k + 28 = h*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35245, -141066, -317421, -564304, -881709, -1269630, -1728061, -2256996?\nAnswer: -2856429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-18)*k\/(k**(-2\/9)\/k) assuming k is positive.\nAnswer: k**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 + 3*z + 6. Determine s(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 18*d + 80. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 9*m + 6. Let x be 52\/6 + 4\/(-6). Let i be k(x). Let s(t) = -t + 3*t - t. Determine s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44695 is divided by 11166?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 879.5 + -879.7. What is the closest to 1 in -183, 0.3, n, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 3*z + 0*z + z + 4. What is the tens digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*f - 653*f - 1063 + 4205 = -1266 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -957*p - 20 - 18 + 501*p + 38.\nAnswer: -456*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*r = -16, -93*v + 88*v - 2 = 9*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -4*k + 2*k - 23, 0 = -4*a - k + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/2*2\/3. Suppose -2*k + 50 = 2*q, r*q - 80 = 5*k - k. Suppose -q + 5 = -3*a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*c**5 + 4 - 21*c**5 + 21*c - 2 - 7*c wrt c?\nAnswer: -1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5120 = 2*j - 7472. Let a(z) = -6296 + 7*z + j. Let m(i) be the second derivative of i**3\/6 - i. Calculate m(a(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:24 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2797 + -2766. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) -0.02 (c) 8536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3101099*w**2 - 16*w - 3101099*w**2 - 1409*w**4 - 41 wrt w?\nAnswer: -16908*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p**3 - 48*p**4 - 15*p**3)*(-2 + 0 + 1) + (-4*p + 4*p - 2*p**3)*(-p - 6*p + 2*p).\nAnswer: 58*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8 = -5*n + 2*n, -4*n + 5*r = -36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, 8, 33.\nAnswer: -5, -2, 1, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -2*s - 9. Suppose 4*u = 6*u. Solve 4*m - 8 + s = u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 6 - 7*t**2 - 10 - t**2.\nAnswer: -7*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00425172 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1553*m**2\/2 + 23301*m\/2 + 45 = 0. What is m?\nAnswer: -15, -6\/1553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q + 1. Let s(l) = 4*l**2 + 2*l + 25. Let g(n) = s(n) - 5*u(n). Determine g(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 4*j + 3*g + 13 = 0, 2*g + 18 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 30*x + 408 = 17*x + 47 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289 - 289.1186. Let j = 0.12 + v. Round j to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 4*x + 4. Let o(q) = -q. Let t(r) = -44*o(r) - 4*z(r). Suppose t(c) = 0. What is c?\nAnswer: 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4305624702?\nAnswer: 2, 3, 23, 31200179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -6*a**2 + a + 53. Give q(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 298, -5, 1, 4847, -4 in decreasing order.\nAnswer: 4847, 298, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101169 - 87?\nAnswer: 101092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + -1 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776938.03 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 684 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/17 (b) -5 (c) 0.08 (d) 2\/59 (e) -1\/4 (f) 0.27 (g) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/7 + 9570*s**4\/7 + 9600*s**3\/7 - 86190*s**2\/7 + 15045*s - 38292\/7 = 0.\nAnswer: -4, 1, 3191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -34. Suppose u - t = -5. Sort 3, u, 1 in descending order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijmjjjmz. What is prob of sequence jz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-142)\/(-20) + (-17)\/(153\/72). Which is the third smallest value? (a) -4 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12*p*p**(-2\/5)\/p)\/(((p*(p**(-7)\/p*p)\/p)\/p)\/p**(-13\/2)) assuming p is positive.\nAnswer: p**(131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8297, 68024, 167567, 306926?\n\"Answer: 19908*f**2 + 3*f - 11614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1460381600 to the nearest 1000000.\nAnswer: 1460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 1983 + 6165 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 7 - 13 + 14029*y + 7)*(0*y**3 + 0*y**3 - 2*y**3) to the form o*y**3 + p*y + c + i*y**4 + h*y**2 and give i.\nAnswer: -28058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 88*k - 48. Let u be a(5). Let b = -215 + u. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f**3 + 4*f**2 - 3*f - 1. Let j be d(2). Let v = j - 81. Let x = v + -31. Solve 15 = -x*c + 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/8))\/((y*y**(4\/5)\/y)\/y)*y**5*y**1\/y)**(12\/11) assuming y is positive.\nAnswer: y**(729\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 5127.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1097252945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, 0.5, 2, 503?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3221 + -11?\nAnswer: -3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 615379642 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Suppose b = 3*p + 2*u - u - 43, -3*u = -p + 21. Suppose c + 2*c = p. Solve -2*h + 6*h - 5*r = -10, c*h = r - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f = 1884 - 2492 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 4*x**2 + 5. Let c be m(-4). Suppose -5 = -5*r - c*p, 5*p + 16 = 4*r + 3*p. Solve -d + 3*j + 2 = 0, 2*j + r = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Suppose -s = a*n - 772, 4*s + n = -s + 3980. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 31987 = 4*q, 5*q + 0*l + 39989 = l. Let y = -5539 - q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-24)\/(n**4\/(n**(-1\/7)*n))*(n**0*n*n\/(n\/(n\/(n*n\/(n**7\/n*n)*n))))**(5\/6) assuming n is positive.\nAnswer: n**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/8)\/(345\/(-10)))\/((792\/54)\/22).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*p - 442 = 0, -70*d + 446 = -74*d + 3*p. Sort d, 4, -5, -1, -2 in decreasing order.\nAnswer: 4, -1, -2, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-0.0944\nAnswer: 0.000944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 382*x - 388*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068 divided by -4.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2 (c) -0.2 (d) 0.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.36*278546.9.\nAnswer: 935917.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54446 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 438843 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let y(h) be the second derivative of -h**6\/360 - h**4\/3 + h. Let f(u) be the third derivative of y(u). Give f(w(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112315244 (base 7) to base 4.\nAnswer: 122033101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = d + 8*z - 5*z, d = 4*z - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/4207 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 16. Let g = -306 + 311. Put -3, g, i in decreasing order.\nAnswer: g, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41131383 - -3?\nAnswer: -41131380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, c: 3, x: 3, l: 7}. Give prob of picking 1 l and 1 x.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 171 = -d + 6*d, -260 = 5*k - 3*d. Suppose 5*i + 1155 = 2*t, i + i + 433 = -5*t. Let a = k - i. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/7, 2\/3, 4, -1.82, -4 in decreasing order.\nAnswer: 30\/7, 4, 2\/3, -1.82, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -264499*i**3*r - 5*i**3 - 363*i**2 - 2*i*r + 44*r + 1639 with respect to r.\nAnswer: -264499*i**3 - 2*i + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let j be ((-13 - -35) + -21)\/(1 + 0). Let x = -209\/4 - -52. What is the second smallest value in j, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(5*sqrt(405)*1 - sqrt(405)))\/(3*(sqrt(225)*-1 + sqrt(225)) - sqrt(225)))**2.\nAnswer: 576\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 41 = -3*a, 0*a + 4*u = -3*a + 47. Suppose -4*m + a + 7 = 0. Let s be (4\/m)\/(20\/50). Solve -s*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402107*p**2 - 402107*p**2 - 141*p**3 + 610*p**3 + 2408*p**3.\nAnswer: 2877*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124.201 + -0.201. Let i = -122 + t. Let q = -0.301 + 0.001. What is the nearest to -1 in i, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*z, 3*z - 2*z + 741 = 5*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -3\/115715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 895*u - 2762. What is the tens digit of c(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 9. Let g(b) = 21*b + 16*b - 38*b. Give g(i(x)).\nAnswer: 3*x + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*m**3 - 71 wrt m.\nAnswer: 138*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -3.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynoyfny. Give prob of sequence nynf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdjtttpt. What is prob of picking 1 d and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*f + 133 = -6874. What is the remainder when f is divided by 3\/(-2)*76\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 m when three letters picked without replacement from {m: 3, f: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1. Let v = 479 + -478. Let b(y) be the first derivative of -y**2\/2 + 3*y + 1. What is v*b(a) + 5*d(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 46*i = 0. Let p = -3 + 6. Suppose -2*a = -10, -p*y + 122 = -i*y + 4*a. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*sqrt(2880)*-1*1)\/((sqrt(16)\/sqrt(4)*-5 + sqrt(1296)\/sqrt(9))*-5).\nAnswer: -288*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1149*z**2 + 0*z**3 + 3*z**3 - 1142*z**2 as h*z**2 + n*z**3 + v*z + c and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 21961 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/130 and 8\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 48, -195, 2, 63.\nAnswer: -195, 1, 2, 3, 48, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (373\/55 - (-12 + 14)) + 114\/(-627).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 3*t = 55. Let h be (t - 13) + 31 + 1. Suppose 3*n - 4*a = -a + h, -4*n - 4*a + 80 = 0. Solve -4*o = -o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*p, 22*r - 20*r - 2*p = 0. Let i(g) be the second derivative of 7*g + 0 + r*g**3 + 0*g**2 + 1\/12*g**4. Let t(z) = -z. Give i(t(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7652 (base 8) in base 5?\nAnswer: -112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssozuyd. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -2\/7, -8.9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/16 and -123\/2774584010?\nAnswer: 22196672080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 - -3. Let k = -3157\/12636 - 1\/6318. Which is the second smallest value? (a) -5 (b) -2 (c) k (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-210)\/(-72) + (-1)\/3. Let g = u - -22\/3. Calculate the common denominator of g and -19\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2. Let o(z) = 564*z + 4. Give x(o(j)).\nAnswer: 954288*j**2 + 13536*j + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z. Let c = 6 - 2. Suppose 2*k = c + 10. Let y = -6 + k. What is a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 2*q. Let g(m) = m**3 - 2*m. Let o = -101 + 173. Let a = 68 - o. Give a*s(l) + 3*g(l).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Let h(q) = 7*q - 5. Let j be h(p). Solve 5*i - 45 = -5*k, 0 = -2*i - 5*k + j + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3495146 or -45436901\/13?\nAnswer: -45436901\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxccvxcxccxxccxxyv. What is prob of picking 1 x and 1 y?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14128.9999993681 + 14129. What is p rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/2 - -159\/4. Let c be 191988\/28960 - (-3 + 5 + 2). Let w = c + -4\/905. Calculate the common denominator of w and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.161, -1\/4, -15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 m when four letters picked without replacement from ffmmfffmffffffffmff.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -3 - 478\/1168*2. Let i = -5\/73 - k. What is the smallest value in -0.5, -5, i, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 6*k - 2*k)*(2*k**2 + 5 - 5) + 2 + 0 - 2*k**3 + 0*k**3.\nAnswer: 6*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 1}. What is prob of picking 1 m and 1 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597380272?\nAnswer: 2, 17, 557, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(2 + 1 - 7)*(-1 + 2*g + 1).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -10. Solve -2*t = -7*t + 5*z - 10, -6 = -b*t - 3*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 941, 951, 973, 1013, 1077, 1171?\n\"Answer: d**3 + 3*d + 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 4*s**2 + 25*s - 50. Let v be y(2). Let n = 8\/5 - 7\/5. Which is the smallest value? (a) 0.1 (b) 2 (c) v (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5235127 to the power of 1\/2, to the nearest integer?\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - z + 104 = 0, -4*u - 5*z = -5*u. What is the lowest common multiple of 212 and u?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = i - 75, -2*j - 162 = -2*i. Let f = i + -77. Suppose d + 12 = 5*d + f*g, -3*g - 3 = -d. Let b(t) = -t**3 + 3*t**2 - t + 4. Calculate b(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/(-12) - 3)*0. Suppose q = -2*b + 5*b - 30. Let x = 116 + b. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 70. Let i = 52 - g. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1803, 1011, -287, -2073, -4329, -7037?\nAnswer: -10179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 51, 3, -0.4 in descending order.\nAnswer: 51, 3, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 0*d**4 - 3*d**4)*(-3 + 1 + 0 + (-1 + 0 + 0)*(-2 + 7 - 2)).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -199 + 201. Suppose -17*h + 450 = -c*h. Calculate the remainder when 177 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 3}. Give prob of sequence iqqi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252)*-2*-2)**2 + 5 - (sqrt(28) + 5 - -5*(1 + sqrt(7))).\nAnswer: -7*sqrt(7) + 6295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + a. Suppose -2*d = -5*u - 0 + 1, -4*d + 9 = u. Suppose 0 = t - 6*t + d*r - 10, -23 = 2*t + 3*r. What is the units digit of z(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) -0.5 (b) 189 (c) -14.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6, -646 = -4*s - 4*k + 1558. Is 61 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40447305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -4*x, 2*x - 1 = -3*x - a. Determine y, given that x*y**2 + 0 + 1\/4*y**4 + 0*y**3 + 0*y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3881 - -1?\nAnswer: 3882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 1950*l**2 + 112840*l + 1081920.\nAnswer: 5*(l + 12)*(l + 56)*(l + 322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205008418?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x - 1308*x**2 + 202*x**2 - 273*x**2 + 78*x**2.\nAnswer: -1301*x**2 + 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4 + 16. Let n be -1*(-32)\/17 + -2. What is the third smallest value in l, n, 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*c + 15 = 0, 0*a + 4*a + 66 = 5*c. Sort -5, a, 1, 0.3 in descending order.\nAnswer: 1, 0.3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6222215 != -6222205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1642 - 1637. Which is the nearest to -2\/73? (a) -0.3 (b) -1\/4 (c) -0.4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40684, 40710, 40754, 40816, 40896, 40994, 41110?\nAnswer: 41244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012612786 to 6 dps.\nAnswer: -0.001261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11123038\/55 + -202248. Let f = -57\/5 - x. Which is greater: 4\/5 or f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p + 6 = 129*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 355 + -355.0005576. Round j to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6.0000054. What is a rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36174.8 rounded to the nearest 100?\nAnswer: 36200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**3 - 195185*l**2 - 1952350*l = 0.\nAnswer: -10, 0, 39047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -313*h + 671 = 307*h + 51*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111259 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66505 is divided by 227?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -3*j**5\/5 + 33*j**4\/2 - 140*j**3 + 327*j**2 - 297*j - 1335. Let s(u) = 0. Calculate u.\nAnswer: 1, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 11}. Give prob of sequence rri.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117.5 - 19.5. Let o = 96 - f. Which is the nearest to -0.1? (a) o (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*i - 0*i + 113, -2*i + 6 = 0. Solve 0 = -4*a - m + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.7 and 131240?\nAnswer: 1535508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10389*r - 4*s = -10394*r + 50, -r - 3*s + 29 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + (4354\/372)\/7 + (7 - 2) and 109\/54?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*w**3 - 1957*w**3 + 415*w**3.\nAnswer: -2214*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1586 - 2447. Let j be (-2 - 1142\/c) + (-54)\/(-81). Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 324795.\nAnswer: 1623975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -10. Suppose -4*n + 35*n - 62 = 0. What is the third derivative of -i*o + 2*o**n - o**2 + 10*o + 28*o**3 wrt o?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713.0629 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 1677 + 1827. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l*l\/(l*l*l**(-6)))\/l)**(-3\/25)\/(l**(2\/69)*l**(1\/11)) assuming l is positive.\nAnswer: l**(-20491\/18975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -65. Put o, 0, 4, 35 in decreasing order.\nAnswer: 35, 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = -3. Suppose 45 = 3*j + b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/5 and 132\/9*(-2)\/(-32).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162199.9 tonnes in kilograms?\nAnswer: 162199900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 33, 48, 63?\n\"Answer: 15*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*n - 228 = -97*n. Let s(c) = 2*c**3 - 76*c**2 + 49*c - 100. What is the thousands digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1748 + 1749. Which is the third biggest value? (a) 12 (b) 0.1 (c) -1\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/2)\/(16\/(-104)). Suppose -3*u + 18 = -2*b - 3, -b = 4*u - k. Calculate the greatest common factor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114259833 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*(-36)\/56?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12425)\/(-9585)*12\/(-14).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 = -4*s - 2*m, -4*m = -3*s - 7*m - 528. Let u = 432 + s. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from ufpkfkffmquffuu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 2. Give x(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.08603482?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 586, 2420, 5476, 9754, 15254, 21976?\nAnswer: 29920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -200*n + 198*n. Let t(p) = -16*p + 26*p + n*p**2 - 6 - 5*p. What is t(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 = 3*r - 2, 3*o + 7 = 2*r. Suppose g + 3 = 2, 5*x = -r*g + 770. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.02 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97192567 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125947 is divided by 416?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -14.6. Which is the nearest to 0? (a) u (b) 6 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2848 + -2810. Let r be (-139)\/(-3) + 2\/(-6). Find the third derivative of t**6 - 27*t**2 + r*t**2 - p*t**2 - 14*t**6 wrt t.\nAnswer: -1560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2. Let h(i) = -3*i**3 + 11*i**2 - 4*i + 7. Let g(d) = h(d) - 5*x(d). Let u(n) = 6*n**3 + 17*n**2 - 11*n + 20. Determine 17*g(m) - 6*u(m).\nAnswer: -2*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -277\/5 (b) 4 (c) 1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (-23 - (7 - 144))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 180*t - 7312 - 8588 = -85*t for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 16 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*32\/(-48) - (-12)\/(9\/3). What is the greatest common divisor of r and 13256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1839349 divided by 17\nAnswer: -108197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 at most -3.00338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 22. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/9 (b) 4\/3 (c) 8181 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1528 divided by 764\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 7. Let m be g(6). Let v be (m + (-38)\/14)*-7. Find the common denominator of 57\/v + 1\/(-4) and 38\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 6*f - 6*f)*(3265*f + 25*f**2 - 3263*f + 116*f**2).\nAnswer: -423*f**5 - 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43130363 (base 7) in base 16?\nAnswer: 380519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y, -3*s + 6 = 2*y. What is the highest common divisor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167980*k - 35677 wrt k.\nAnswer: 167980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2846.436 nanometers?\nAnswer: 0.002846436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3244 - -2411?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 22 = -2*s, -o + 4*s = -3*o + 12. Suppose -4*y + 2 = -o. Suppose 7 + y = -3*w - 5*u, -5*u = 2*w + 14. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.88 + 56.88. What is the nearest to -2 in -2\/3, -4, -39\/8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - u**3 - u**3)*(3*u + 3*u - 2*u + (2 - 6 + 2)*(-2 + 2 + u) + (0*u + 2*u - 5*u)*(5 + 0 - 3)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:34 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14714144\/736 + 1\/(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 29. Let a be n(25). Let c be 24\/14 - 6\/a. Solve -3*y + 5*s = -23, 0 = c*y + 3*y + 2*s + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-609)\/(-3332))\/(-29)*(-105)\/162 and -5\/816?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -121223 > -121232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a - 48 = 13*q + 42*a, -2*q + 14 = -4*a - 74 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3384679, -13538699, -30462063, -54154771, -84616823?\n\"Answer: -3384672*i**2 - 4*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 3*y - 4. Suppose 0*r + 5*r = -v, 2*v + 11 = r. Let x be h(r). Let p = 4\/133 + -6\/19. Put 0.3, p, x in descending order.\nAnswer: 0.3, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 - -88.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5)**49)**(-3\/5) assuming a is positive.\nAnswer: a**(-882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83647, 166891, 250133, 333373, 416611, 499847, 583081?\nAnswer: 666313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -60, -5, 1, 785.\nAnswer: -60, -5, -1, 1, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**7\/70 + 3*f**6\/40 + f**5\/5 - 3*f**4\/2 + 34*f**2 - 14*f. Factor c(x).\nAnswer: -3*x*(x - 3)*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -233*w + 105*w + 136*w. Let i(z) be the third derivative of -z**5\/12 - 2*z**2. Calculate i(f(k)).\nAnswer: -320*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1410 + 2725. List the prime factors of j.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1367*f**5\/4 - 1247*f**4\/3 + 2*f + 71. Find the third derivative of o(d) wrt d.\nAnswer: 41010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/17 equal to -7495904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-23 + 16 + -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbdke. Give prob of sequence kdeb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-2) + -2 + 3\/2. Let s be (-1)\/8 - (m\/(-40))\/1. Is s at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 4407*g + 4391*g + 47 to b + f*g and give b.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11624594664643+0.3\nAnswer: -11624594664642.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 62 + -66 - (-7 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3199594 - -2.32. Round w to 6 decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let w be 8\/s + (-2)\/(-6). Solve w*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.6 - 15.6. Which is the third biggest value? (a) r (b) 0.01 (c) 1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247 - -258. Let i(r) = -7*r**3 - 4*r**2 - 4*r + 4. Let g(q) = -22*q**3 - 11*q**2 - 11*q + 11. Determine k*i(o) - 4*g(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-29 + 12 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2607 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7410 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*1*6\/(-4). Suppose -142 - 2 = 4*b. Let k be (2\/s)\/(42\/b). Which is smaller: -1\/3 or k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:41 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1008 and -57\/70.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 142245?\nAnswer: 142245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.3 (b) -2\/7 (c) 1 (d) -0.01 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 51*f**3 + 1159*f**2 - 40. Let p(s) = 25*s**3 + 580*s**2 - 16. Let w(x) = -2*a(x) + 5*p(x). What is the third derivative of w(k) wrt k?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -125*p + 121*p. Let n(d) = -d**2 - 6*d - 7. What is n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 40. Let j(g) = -2*g**3 - 3*g**2 - 6*g - 8. Let x be j(k). Suppose -3*d + x = 5*d. What is the lowest common multiple of 9 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8. Suppose -3*h + 4*v - 6 = -1, 0 = -h + v - q. What is the tens digit of h - (-11 + (2 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 6c?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53\/30 - 11\/30. Let p(c) = -c**3 - 5*c**2 + 7*c + 7. Let j be p(-6). Is n bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, 23403949 in decreasing order.\nAnswer: 23403949, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Suppose -26 + 74 = -8*y. Let w(r) = -48*r - 291. Let v be w(y). What is the nearest to 1 in x, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11547314*r - 1788240.\nAnswer: -11547314","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -45. Is (l\/(-6))\/(27\/(-1458)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 35*l**5\/6 - 1057*l**4\/24 + 786*l**2. Find the second derivative of p(u) wrt u.\nAnswer: 700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(2\/3))*c\/c**(1\/4)*c*(c\/(c*c**(-1\/3)))**(6\/7) assuming c is positive.\nAnswer: c**(227\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8091596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1856 and 38060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-5)\/(20\/(-16)). Suppose o*k - 23 = -8. Suppose 3*m + k*m = 234. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.6 - -37.482. Let p = -0.258 - r. Which is the second biggest value? (a) p (b) -1\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.27 + -3.77. Let i(l) = -l + 5. Let m be i(6). Which is the third smallest value? (a) -0.2 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 112315?\nAnswer: -36\/112315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122200100 - 21?\nAnswer: 12122200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620992 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*x + 5*x - 2843*x.\nAnswer: -3624*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133616436 and 4.\nAnswer: 133616436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42471 and 1056978.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5231 - 0.3231. What is the nearest to m in -0.1, -0.7, 5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 25 = -2*v, -4*f + 5*v = -34 - 3. Suppose -h + 30 + 35 = -5*k, f*h - 5*k = 245. Does 30 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*3 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l. Let v(x) = -82 - 2*x + 82. Give u(v(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 514566 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 8*d + 7. Let t be q(7). Suppose 9*s - 6 = 8*s. Suppose -5*u + 3 = 3*x - s, 5*u - 6 = -2*x. Solve t*p + 12 = -x*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*s**3 - 1239184*s + 56457605 wrt s?\nAnswer: -57*s**2 - 1239184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1567*c - 3305*c + 1745*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65280, -65129, -64978, -64827, -64676, -64525?\nAnswer: -64374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**3\/3 + 25*t**2\/2 + 2*t. Let l be q(11). Let r(a) = 28*a - 12. Is r(l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2 - (-1344)\/(-128). Let b(f) = f + 6. Determine b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 124\/30)\/((-7)\/35).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 72?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 92*y**2 + y - 5. Suppose 24 = -18*b + 10*b. Let t be s(b). Round t to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11512*j - 2619. Is d(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 4\/9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33 (b) 1 (c) -0.5 (d) -0.4 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 31*v + 1. Let c(n) = -n**3 + 5*n**2 + 15*n - 5. Let a be c(7). What are the prime factors of g(a)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 24\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -660212?\nAnswer: -660212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*((sqrt(44) - (0 + sqrt(44))) + 2))**2 - (-3*(sqrt(308)*-2 - sqrt(308)) + sqrt(308))\/((-2*sqrt(42))\/sqrt(6) + sqrt(7)).\nAnswer: 20*sqrt(11) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1718 + -1584. What is the remainder when 442 is divided by n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 13*k - 14. Let n be f(-7). Let m(d) = 4*d**2 + 1. Let v be m(3). Factor -4 - n*g**2 - v*g**2 - 12*g + 70*g**2.\nAnswer: -(3*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 286 and 286 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-8))\/((-14*(-19)\/(-1064))\/1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19*s**2 - 3*s - 5. Let a(i) = -18*i**2 + 4*i + 6. Determine 5*a(c) + 6*v(c).\nAnswer: 24*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*p - 156*p - 41*p - 21*p)*(4 - 3 - 3).\nAnswer: 584*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2158110 divided by 54?\nAnswer: -39965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4982*r**2 - 92*r - 2. What is the units digit of n(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32484 times 39.3?\nAnswer: 1276621.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.023 + -36. Round m to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-5)\/h)*h*(h*h**18\/h)\/h assuming h is positive.\nAnswer: h**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1, 32.2, 6\/11, -49.5.\nAnswer: -49.5, -1, -1\/7, 6\/11, 32.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53156119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**2 - 4*m**2)*(-4 + 6 + 2) + 3*m**2 - m + m - 2*m**2 + 2*m**2 - 2*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -21, 20, -217?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*c + 1650*c + 520*c = 411*c - 21098 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 + 7) - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 5:39 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 11*f + 63, 57 = -3*q - 1510*f + 1505*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1473282 - -4922558.\nAnswer: 4922557.8526718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10369*t**2. Let l(z) = 2*z - 9. What is q(l(u))?\nAnswer: 41476*u**2 - 373284*u + 839889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380534*c + 2432 = -380598*c for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 16. Let a be k(-14). Suppose 0 = -i + a. Find the third derivative of -10*t**i - 14*t**3 - 9*t**3 + 21*t**3 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281529035.\nAnswer: 5, 56305807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.017 and -2.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19039\/4816 + 165\/43. Find the common denominator of i and -103\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9601\/6 + 1594. Find the common denominator of -9\/28 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = -3. Suppose 0 = 5*o - 16 + v. Calculate the remainder when 170\/25 - (-2)\/10 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i + 1. Suppose 0 = 5*u - 2*u + 3. Let y(t) = -1072*t**2 + 429*t**2 + 650*t**2 + 6*t - 6. What is u*y(f) - 5*x(f)?\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**2 - n - 3. Let a be g(-7). Let o be ((-2)\/(-5))\/(1\/a). Let z = -68 - o. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 204*g + 1383 = -1449 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/2 (b) -5 (c) -2\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3200*i**2 + 3404*i**2 - 6606*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -4)\/(1\/4). Let s(i) = -i + 6. Let g be s(v). List the prime factors of (-19)\/g + (-2)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 522 - 465. Let x = z - 48. Solve 0 = -2*g - g - x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800)*-2)\/sqrt(5))\/(sqrt(10)\/(sqrt(10)\/sqrt(2)) - (sqrt(36) - sqrt(4))\/sqrt(2)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314936795.\nAnswer: 5, 257, 245087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1524251?\nAnswer: 337, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 10. Let k be u(6). Solve 2 = -2*y - 0*y - k*h, -6 = -3*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 + 0*x**4 - 2*x**4 + (2*x**3 + 0*x**3 - x**3)*((26 - 49 + 40)*(-2*x - x + 6*x) + 3*x + 2*x - 3*x) - 8*x - 3*x - x**4 + 7*x.\nAnswer: 54*x**4 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 9) to base 13.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97136092 is divided by 2135.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 1\/6*c**3 - 3\/2*c**2 + 0 - 8*c. Give n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 4, t: 2, x: 3, b: 1, p: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -12, -75, 5263.\nAnswer: -75, -12, -3, 3, 5263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5614.1 + 5388. Let p = f + 226. Which is the fourth biggest value? (a) -0.04 (b) -3\/10 (c) p (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/21 and 43\/2865.\nAnswer: 20055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 33270?\nAnswer: 99810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696905119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 119*r**4\/12 - r**3 - 6*r**2 + 2*r + 2. Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 3*c**2\/2 + 286. Let p(h) = -8*h**2 - h. Determine p(j(f)).\nAnswer: -72*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let i(l) = -521*l - 39. Determine i(x(h)).\nAnswer: -521*h**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -77. Let x be (-4)\/2 + u\/(-6). What is the units digit of ((-45)\/x)\/(3\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.743+-2.1196037007\nAnswer: -1.3766037007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. What is the nearest to m in 2\/5, 13, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/220 and -117\/1057910.\nAnswer: 23274020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8657325 divided by -577155?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -1 (c) 599720\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-16 + 25 + (2 - 3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:13 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 510080*u**4 + 4386*u.\nAnswer: 6120960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -15, 5 in descending order.\nAnswer: 5, -5, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(204)\/(sqrt(60)\/sqrt(5)).\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r + 1. Let j(o) = 5*o**2 - 6*o + 7. Let w(s) = 6*c(s) - j(s). Let w(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 90. Suppose -p - 4 = 3. Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3098, -3097, -3096, -3095, -3094?\n\"Answer: s - 3099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4 - 5. Suppose 2789991 = 3*p - r*v, -843810 = 3*p + v - 3633813. Round p to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 8 + 8 + (42 - 91).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 125\/35 + 9\/21. Solve -m - t*f = 9, m = -2*m - 3*f - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6249151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 2 + 22 = 0. Let s(b) = 5*b**2 - 2. Calculate s(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = 6. Let b be (l + (-14)\/6)*-15. What are the prime factors of 195\/b - (-1)\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = -3*x, -v - 17 = -4*v + 4*x. Let y be (0 - (-8)\/(-4)) + 4. Suppose 0 = g - r, -g + y*r + 6 = -5*g. Put v, g, 4 in descending order.\nAnswer: 4, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let t be 6\/(-2)*6\/(-6). Let d(o) = -o**2 - o. Let k(u) = -5*u**2 - 3*u. Let s(y) = t*d(y) - k(y). Give s(h(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -6270, -16.\nAnswer: -6270, -16, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, m: 1, l: 2, b: 1, i: 2, v: 1}. Give prob of picking 2 l and 1 b.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttktfttkktttk. Give prob of sequence tk.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*q + 1311*q + 2381*q = -92274 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -157. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 5. Let m(i) = -i. Let s(t) = 2*t + 14. Let j(y) = 5*m(y) + s(y). Suppose 4*d = r - 20, 4*d - 5 - 23 = -5*r. Determine r*b(u) - 3*j(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*c = -1158 - 693 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 7*b - 7. Determine n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*6\/72*66\/(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t + 16 = 66*t. Let p(w) = -5*w + 8. Let q be p(t). Sort 14, q, -6 in ascending order.\nAnswer: -6, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43314*v + 1465 + 589 = 43156*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (-18 - -12) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-49)\/(-21) - 80\/(-3). Suppose -l*y = -29*y + 4. Solve 2*a = 6 - y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3015347657 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 443113 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -35*g**2 + 6683*g + 406. Give n(191).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 78.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 1. Let q be (-80)\/(-2720) + (-67)\/(-34). Let j(s) = 4*s - 10. Let g(a) = 4*a - 9. Let t(b) = -4*g(b) + 3*j(b). Calculate q*t(o) - 12*l(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -383\/516 + -1\/129. Let w be ((-3)\/(-9))\/(12\/(-9)). Let d = 1\/20 + w. What is the closest to -0.1 in q, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 256*r - 13991. Determine w(50).\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let p = -40 + 46. Let d(z) = -17*z - 3. Let w be d(p). Let i be w\/18 - 11\/66. What is h(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 9574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 12. Give y(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 24\/5*d**4 + 336 + 42*d**3 - 516\/5*d**2 - 744\/5*d - 6\/5*d**5 = 0.\nAnswer: -5, -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 22*f**3 + 89*f**3 + 0*f - f - 69*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*d + 5*a, 0 = 4*d - 3*a - 1323 + 1315 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, f: 5, a: 5, u: 5}. Give prob of sequence ui.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + j**2)*(-13*j**2 + 20*j - 40*j + 22*j) + 102*j + 21*j**4 - 102*j.\nAnswer: 8*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1467\/45 - 4\/(-10) and -44*(4\/8 + -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 67. Let g = b - -35. Solve 50*a**2 - 19*a**2 + 16*a**3 - 8*a**4 + g - 74*a + 16*a**3 + 23*a**2 = 0.\nAnswer: -2, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 1 (c) 0.072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1790074 and -49\/171457?\nAnswer: 195118066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253182 + 733182. Round o to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2 times -0.0497?\nAnswer: -0.50694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 10 - 4. Let g be ((-1346384)\/(-12))\/(i\/27). Suppose -2*r = g + 495106. Round r to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2132, -4266, -6404, -8546, -10692, -12842?\nAnswer: -14996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 84. Suppose -l = a - 7*a. Solve 3*p - a*p - 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*q - 743 - 15*q**2 + 4*q**2 + 743 to y*q + k*q**2 + g and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1281 = 2*d - 2395. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273 by -8.\nAnswer: -273\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84213 + 868?\nAnswer: 85182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*f = 3*r + 26, -6*f + 56 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 197. Let h = 266\/3 - j. Determine y so that -h*y**3 + 0*y + 0 - 4\/3*y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*l**4*o**2 + l**3*o**3 + 277*l*o**3 + 2*l*o**2 wrt l?\nAnswer: 264*l**2*o**2 + 6*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -47. Let o(w) = -10*w + 17. Let k(h) = -15*h + 25. Let s(q) = -5*k(q) + 7*o(q). Let g(r) = -4*r + 5. Give m*g(p) + 5*s(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3 - 157*r**2 + 2*r**3 + 9 in the form k*r**3 + f*r**2 + x*r + m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 - (-322)\/(-35). Let z = -19\/2 - q. Let i be (2\/4)\/((-2)\/(-4)). Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.14652 weeks to days.\nAnswer: 680.02564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77536155 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8191962cm to kilometers.\nAnswer: 0.000008191962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6415 (base 8) in base 4?\nAnswer: 310031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -53 + 83 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41\/99 - -7\/11. What is the closest to 2 in -3, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z - 35 = -19*z - 5*u, -3*u = -42 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = 0, -458 = -5*r - 4*n + 8771. Is 41 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10058 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 34*v**3 + 16*v**3 - 17*v**2 + 298 + 30*v**2 - 15*v**2.\nAnswer: 50*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*v**4 + 58*v - 58*v)*(-1 - 1 + 1)*(-1 - 1 + 3 + (-9 - 11 + 6)*(2 - 2 - 2)) to the form z*v**2 + m*v**4 + o*v**3 + c*v + p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84819134.\nAnswer: 2, 43, 181, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1752 and 159651?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 9. Let h be m(6). Let l be h\/(-2)*28\/6. Suppose z = 5*j - 15, 2*z + z + l = -4*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**7\/s)\/(s*s\/(s*s*s*s**(1\/4)*s*s)))\/(s\/(s*s*s**(-1\/2))*s**(1\/8)\/s))**(1\/26) assuming s is positive.\nAnswer: s**(85\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 + -258. Let s(k) be the third derivative of 1\/180*k**5 + 1\/72*k**4 + 0*k**3 + j - 12*k**2 + 0*k. Factor s(b).\nAnswer: b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 12:23 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 28, -66, -252, -560?\n\"Answer: -5*y**3 - y**2 + 6*y + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -8677*y**5\/20 + 3278*y**2 - 3*y + 1277. Differentiate c(z) wrt z.\nAnswer: -26031*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose w = -3*o - v, -4 = -5*w - 3*o - 2. Solve -5*g = 3*d, -2*d - 2*g - g = w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482506.\nAnswer: 2, 241253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28205373683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47283491 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = q + 2, 0 = q - 5*q + 2*w + 16. Let g be q + -4 - (-2)\/(-1). Suppose g = -i - 3 + 6. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**2. Let f(s) = 1061*s + 110. Let o(m) = -61008*m - 6314. Let g(h) = -287*f(h) - 5*o(h). Determine g(l(y)).\nAnswer: -2665*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64227.\nAnswer: 3, 79, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/180)\/((-1)\/(-4)) - (-356)\/12?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85726471958192.6 - -85726887889254.6000196. Let w = n + -415930981. Let a = 81 - w. What is a rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2148 - 2143. Solve -2*n + q*p = 15, -7*n - 12 = -5*n - 2*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 - 46*o - 14. Let b(v) = -v**3 + 7*v**2 + 453*v - 84. Let g be b(25). What is c(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w + 40 = 39*w. Solve -2*d = w*k + 16, 5*k - 6*d + d = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (41 - -2)) + 31 - -150\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h. Let g(m) = -9*m. Let c(k) = -6*g(k) + 17*z(k). Let x be (-28)\/(-12) + (-2)\/(-3). What is c(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4420 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d + 1. Let q be r(-1). Let i be 4\/q*(-35)\/(-50). Factor -2\/5*x**3 + 0*x + i*x**2 + 0.\nAnswer: -2*x**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007707300?\nAnswer: 2, 3, 5, 13, 257069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 (base 10) in base 5?\nAnswer: -11413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101406089287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8799052 is divided by 86.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51.21 - -51.20987449. What is d rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -134 + 100. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 17*s**2 + 5*s - 18. Suppose 7 = l - 4. Calculate the lowest common multiple of l and h(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79, -45, 83, 305, 621?\n\"Answer: 47*x**2 - 107*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**3 - d**3 + 4*d**3)*(-37*d + 215 - 215) to v*d**3 + a*d**2 + g*d + l + i*d**4 and give i.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38275 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*s - 30, 96 = -24*a + 23*a + 22*s + 358 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -d + 5, -2*d + 3*d - 3 = 3*o. Suppose -3*w - w = -32. Let f be 1\/o - (-6724)\/w. Round f to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/4)\/(14\/(-28)). Solve -f*o + 0 + 1\/2*o**2 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -306*r + 30. Let d(z) = 61*z - 6. Let q(t) = 24*d(t) + 5*m(t). Let c = -129 + 128. What is the remainder when q(c) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 7. Let s(z) = -2*z + 9. Let x be s(q). Let i be (x - -1)*11\/(-66). Which is the nearest to 1\/4? (a) -1\/8 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14113290 is divided by 200.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5569*y. Let k(x) = 663*x**2. Calculate k(d(u)).\nAnswer: 20562123543*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/14040 and 181\/1326000.\nAnswer: 11934000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23829 + -125239.8.\nAnswer: -101410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/15)*s**(-1\/17)\/s assuming s is positive.\nAnswer: s**(-236\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783339.\nAnswer: 3, 31, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14575*v + 1622. Is z(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26193277003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 3*l + 2. Suppose 16 = -3*y + 4*d, y + 5*d = -2*y - 7. Let p be o(y). Suppose p*c = 3*c + 30. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 95*n**2 + 175*n - 23. Calculate g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (87\/(-27) - -3 - 7821\/891) + 1641.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuluuu. What is prob of picking 2 u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*x)*(4 - 2 - 3) + x - 4*x + 10*x + x - 1 + 1 + 11*x + 7 - 7)*(0*x**2 + 3*x**2 + 0*x**2).\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3875 is divided by 710.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19) + -2 + 3*sqrt(38)\/sqrt(2))*2.\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 17*u - 32*u. Let y(k) = -k**2 + 7*k + 3. Let o(l) = -l**2 + 13*l + 5. Give u*o(m) - 5*y(m).\nAnswer: 2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*x + x - 11, 4*m - 5*x - 13 = 0. Suppose -2*g = f - 38, 5*f + 7 = -3. Let h = g - m. Calculate the remainder when 37 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1670 divided by -12\nAnswer: 835\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/140288 and -35\/397312?\nAnswer: 54431744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-528)\/(-77) - 2\/(-14). Let y be (-3 - (n\/(-4) - 0))*-4. Solve y*i + 16 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*c - 19*c - 23*c as s*c + u and give s.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(9\/(-45)*18330\/(-546)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 1\/2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.084, 19, 0.03, 0.3 in decreasing order.\nAnswer: 19, 0.3, 0.03, -0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 63.94. Sort -2\/7, n, 4.\nAnswer: -2\/7, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7151, 7146, 7127, 7088, 7023, 6926, 6791, 6612?\nAnswer: 6383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 = 8*s. Let q be 1\/(-1)*-2 + 0. Factor -3*p**s - 24*p**3 - 5*p**q - 22*p**4 + 4*p**4.\nAnswer: -2*p**2*(3*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 683.\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93669438.\nAnswer: 2, 3, 1579, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/5*467\/1868.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 1 - 2*l + 3\/2*l**2. What is the remainder when 11 is divided by k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37611083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:59 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23293.2 + 23292. Which is the third biggest value? (a) -4 (b) -235 (c) -0.4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 16, 20, 20, 16, 8, -4?\n\"Answer: -2*x**2 + 14*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 46*k - 7. Let y(p) = -89*p + 13. Determine -5*f(x) - 3*y(x).\nAnswer: 37*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.13 - 16. Let d = k + 3.87. Let q = d + -5.1. Round q to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*y + 78 - 388 = 257 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/22 and (-54)\/36 + (14240\/2342)\/4.\nAnswer: 25762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 9, -1\/2, 5, -0.03 in ascending order.\nAnswer: -5\/4, -1\/2, -0.03, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 5*a**2 + 110 - 242 - 5*a**3 + 132 as g*a**3 + s*a**2 + x*a + y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + 12660b?\nAnswer: 126623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1305443 = -5*g, 130*g - 127*g - 2610823 = -4*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 3*c - 4*c + (-4 + 3 + 0)*(-92*c + 140*c + 22*c) to the form o*c + b and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s - 6. Let x be n(8). Let y be x\/15*3\/(-1). Which is the smallest value? (a) 0.3 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/10, -0.4, 8, -1.8482?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60817, -60816, -60817, -60820, -60825?\n\"Answer: -j**2 + 4*j - 60820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.99 + -0.01. Let d = 17 - 13. Suppose -w - 4*k - d = -0*k, -2 = -5*w + 2*k. What is the nearest to w in -2\/3, 5, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 10*k**2 - k + 100. Let u(i) = i**2 - i - 6. Let w be u(3). What is the hundreds digit of c(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-28))\/(176\/847*11)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*4\/(-64)*(-2)\/(-6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -3*o - 4600. Calculate the greatest common factor of o and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r + 4. Calculate the remainder when i(4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/3*w**3 - 7*w + 4*w**2 + 14. Factor a(r).\nAnswer: -(r - 7)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 24. Let g = 69 - s. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 4*y**2 + 3*y - 1. Let l be s(2). Let f = l + -5. Solve f = -4*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-74)\/222)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19db96 - 5?\nAnswer: 19db91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -70*q - 4621. Let m be j(-68). Is 1821\/13 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from zwuzwwwuzuu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (14 + (14 - 17) - -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*i**2 + 121 - 121 + 33*i**3 wrt i.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/3 + 200*j**4\/3 + 788*j**3\/3 + 784*j**2\/3 = 0. Calculate j.\nAnswer: -196, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 436.63 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0)*(-2 + 2 + 3*t)*(0 + 1 - 3 + 1 + 1 - 1 + (2 + 1 - 2)*(3 + 0 + 1)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/(-6))\/(619\/(-1238)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d - 156. What is the units digit of p(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejgjujggjj. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 89971.31 to the nearest ten.\nAnswer: 89970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -12818 greater than or equal to -12818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000365 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -592687764 by 148171941.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2554229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z - 10. Let w be b(3). Find d such that 38*d - 13*d + 37*d - 18*d - 34 - 6 - 4*d**w = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118924\/7 >= -16989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 23245?\nAnswer: 32\/23245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j - 10 - 10*j + 10.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, -44\/7, -13, -2, -0.72, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.144 - -0.22. Let k = -5.706 + o. Let u = k + -1.47. What is u rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-398)\/8)\/((-10)\/120) - (12 - 5). Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/807?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/43))\/k*k)\/((k*k**(3\/4))\/k) assuming k is positive.\nAnswer: k**(35\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/(-24)*(-6)\/(-40).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 11.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1931307, 1931307, 1931311, 1931319?\nAnswer: 1931331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 9. Let k be h(-8). Let m = -5 + 7. Let c = -2 - m. Put c, -2, k in increasing order.\nAnswer: c, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 - a**2 - 2*a**2 + 0*a**2. Let j(q) = 4*q - 3*q - 6*q. Give j(p(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2761 + 25931 = 12*l. Let i be (-16)\/(-12) - 8480\/6. Let m = i + l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvne when four letters picked without replacement from {e: 2, y: 2, v: 4, n: 4}?\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 227034915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 6 = 2*a, -4*q + 3*a + 33 = 0. Suppose -16 - 8 = -q*f. Suppose 6 = -3*n, 632 = f*h - 0*n + 2*n. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 8 (c) -2\/17 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1468 = -s + 2*u, 0 = 2*u - 10. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -117\/7. Suppose -w - 1 = 35. Let l be 3*(20\/w)\/(-5). Which is the closest to l? (a) h (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 612315, 0 in descending order.\nAnswer: 612315, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -35744*z - 1900. Let i be w(-100). What is i rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 28\/(-8))\/2. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 960296941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*y + 2*b, -b - 2*b = -y - 4. Let s be (12 + y)*(-6)\/(-4). Solve -4*v + s = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3)*(-9)\/(-135)*-25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/26 + (-253036)\/268528.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20013020 + 3?\nAnswer: -20013011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40301, -161297, -362983, -645359?\n\"Answer: -40345*c**2 + 39*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 11) to base 6\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*q - 1. Suppose 6 = 3*l, -5*l + 10 = -q*x - 3. Let w be (12\/(-8))\/(54\/8). Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/60 + o**4\/8 - 4*o**3\/3 - 11*o. Let h(y) be the second derivative of m(y). Let k = -317 - -320. What is h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 4*n**2 + 4*n**2 + 3*n**2. Let i(w) = -w - 1. Let k(s) = -6*s + 2. Let q(a) = 2*i(a) + k(a). Calculate d(q(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.9596 + 1.8146. Let w = -105.2 - n. Let p = w + -7. What is p rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbg when three letters picked without replacement from gmplgppmbg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 15. Solve 5*i - 2*b = 5, 0 = 2*i + 3*b - v*b + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 - k**2 - 54 - 2*k + 0*k**3 + 2*k**3 - 193*k**4 to the form d*k**4 + o + m*k + f*k**2 + l*k**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28 - (-7 + (-84)\/(-6)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 3*u + 81)*(3*u**3 + 0*u**3 + 3*u**3).\nAnswer: -6*u**4 + 486*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 653913 divided by -13?\nAnswer: -50301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 2*d + 2. Let n(g) = 6*g**2 - 10*g + 13. Let j(w) = -6*w**2 + 9*w - 13. Let y(x) = 3*j(x) + 4*n(x). Let a(c) = 39*u(c) - 6*y(c). Factor a(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n + 4. Let q be 2 + 2\/((-6)\/3). Let v be g(q). Let u be ((-18)\/(-15))\/(v\/(-20)). What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8080 and 439235870?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 116552352.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1224812, 1224811, 1224810, 1224809, 1224808?\n\"Answer: -m + 1224813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 13*s + 6. Let v(f) be the third derivative of -f**5\/20 + 3*f**4\/8 - 2*f**3\/3 + 1468*f**2. Determine 5*b(y) + 7*v(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 152.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -192588781 to the nearest ten thousand.\nAnswer: -192590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 305*k**3 + 164*k**2 wrt k?\nAnswer: 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 19602, -273 in decreasing order.\nAnswer: 19602, -6, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 11*r**3 + 5*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10698.9996609 + 10699. Round v to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 636171136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 1013, 2174, 3801, 5894, 8453, 11478?\nAnswer: 14969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, h: 13}. Give prob of sequence cc.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 815674 and 3085?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 6. Let g be s(4). Let m be 1\/(1*g\/10). Is m greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 25\/2 of a microsecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.97 - 0.03. Which is the third biggest value? (a) 0.4 (b) w (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 595, 920, 1243, 1564?\nAnswer: 1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122 - 10020121102122?\nAnswer: -10020121100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 6*c - 3. Suppose 4*x - 17*x + 78 = 0. Give m(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.8 - -13.52. Let v = w - -0.28. What is the biggest value in v, 0, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538873 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olol when four letters picked without replacement from {o: 9, l: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**3\/3 - t**2 + 4*t - 135. Suppose u + 12 = 3*u + 3*w, 4*w = 0. Suppose -j + 2 = -2*m - u, -5*m = j + 27. What is f(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 4*f + 36*f**2 - 36*f**2 + 2*f**3 + 5 to the form s + m*f**2 + i*f + q*f**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -231?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 4*y**2 + 0*y + (0*y - 4*y + 0*y)*(0*y + 3*y - y) + (-y - 2 + 2)*(3*y - y - y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10\/7)*o\/(o**(13\/5)\/o) assuming o is positive.\nAnswer: o**(-71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 2*q**4 - 4*q**4)*(0*q + 2*q - 3*q) + (-2 + 0 + 1)*(-3*q**5 + 36*q**5 + 85*q**5) - 18*q**5 - 3*q**2 + 5*q**2 + 19*q**5.\nAnswer: -116*q**5 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 53*c - 1468. Let d(v) = -44*v**2. Calculate u(d(m)).\nAnswer: 3872*m**4 - 2332*m**2 - 1468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/36 - 23\/12. Find the common denominator of w and 18\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -935, 3, 0 in descending order.\nAnswer: 3, 0, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + 2*h - 1. Suppose 0*x - x + 2 = 0. Let r(m) = -14*m**2 - 20*m. Let j(c) = 5*c**2 + 7*c. Let w(i) = 17*j(i) + 6*r(i). Give x*w(d) + t(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178281433.\nAnswer: 11, 79, 205157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -15. Find the second derivative of -3*m - 2*m + 4*m**3 + 2*m**s wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1371 - 1434 = 9*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4 - 2.400022. Round b to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -12. Does 2 divide 0\/(-1) + w*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 - 0.06. Which is the second biggest value? (a) 2 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(396) - (sqrt(396) + sqrt(396)*-1)))\/(sqrt(108)\/sqrt(108)))\/(1*(1*(sqrt(144) - (-2*sqrt(144) - sqrt(144))) - sqrt(144))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 2\/25, -4 in descending order.\nAnswer: 2\/25, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 10*f + f + f + 22.\nAnswer: -8*f + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - 1.1.\nAnswer: -105.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -487*y + 28844. Give r(59).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0*b + 120. Suppose 2*p + 12 = -54. Let l = 53 + p. Calculate the highest common divisor of b and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431224*u**3 - 862548*u**3 + 431342*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57, 134, 229, 348, 497, 682?\n\"Answer: p**3 + 3*p**2 + 61*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 23 = 7*g - 132, 21 = -2*g + 9*a for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-8) + 21\/(-28). Let p be (-5)\/(15\/(-9)) + n. Factor v**2 + 7*v - 5*v**2 + 3*v**3 - p*v**2 - v.\nAnswer: 3*v*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3436 is divided by 156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 90300 to the nearest one thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4774560252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 60 + (-1 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2592 and 96.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*h**3 - 12*h**4 - 24*h + 8*h**4 + h**4 - 51*h**2.\nAnswer: -3*h*(h + 1)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5995 - 5991. Solve 5 = -5*m + c*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 113 = 5*t - 388, -4*t - 3*p + 248 = 0. Suppose -t*d - 448 = -73*d. Solve -4 = d*u - 28*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-2))\/(((-3)\/(-14))\/((-23)\/46)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b + 5. Let q(f) = 6*f - 8. Let z(y) = 7*h(y) + 5*q(y). Let g = 34 + -29. Let n be z(g). Solve n*i - 6 = 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 15*b. Let a(u) = -3*u. What is m(a(n))?\nAnswer: -18*n**2 + 45*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(4)\/sqrt(2)*6 + 6*sqrt(72)) + -3)**2.\nAnswer: 1260*sqrt(2) + 88206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 + 54*n + 23. What is c(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -20 (c) 1 (d) -5 (e) -0.1 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4 - 163484*q**3 + 653914*q**2 - 817384*q + 326952 = 0.\nAnswer: 1, 2, 81738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 15 + 35. What is the units digit of (g\/(-10))\/(-1 - (-26)\/27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3179710 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - (20 + 1))*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + 3*m - 5. Give g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-105)*-3 - (-19)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -8*l + 5*l. Let o be -3 + l\/6 + -3. What is the biggest value in 0, o, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s + 80. Let o be j(0). Let p be (-4)\/2 + 2 - o. Let r = -36 - p. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/13)*k*k\/(k**(-4\/23)\/k)*k)\/(k**(-15))**(2\/69))**(-1\/13) assuming k is positive.\nAnswer: k**(-1332\/3887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2454 in -54, -0.1, 1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13920457 and -4?\nAnswer: -55681828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/15 - k**2. Let f(w) be the first derivative of 27*w**2\/2 + 2*w - 18894. Calculate v(f(i)).\nAnswer: 2916*i**2 + 432*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 5*t. Let w be i(-5). Let q = -6347 + 6536.58. Let p = q - 189.6. What is the closest to w in 2\/11, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 1175, 2645, 4695, 7319, 10511, 14265, 18575?\nAnswer: 23435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 24*d - 368. Determine x(16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -913 - -931. What is the remainder when 1312 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0208 + 0.0108. Which is the nearest to m? (a) 0.01 (b) -3 (c) 5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 67*w = 282380. What are the prime factors of w?\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose v = -3*y + 5*y + 8. Let o(n) be the second derivative of n**4\/12 + 5*n**3\/6 + n**2 - n. Calculate o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/60 + 2*b**3\/3 + 3*b**2. What is the derivative of a(k) wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - 0.02. Let m = v - -5.1. Which is the second biggest value? (a) m (b) 3\/2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*c - 1161, q - 2*c + c = 379. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 1, h: 3, n: 1, g: 2, q: 3}. What is prob of sequence ggu?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 323173511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784040039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162))**2 + -5.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-5)*1907 + (-3)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 66.904.\nAnswer: 60.2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 113\/4. Which is the nearest to -4? (a) 5\/3 (b) -2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120222121 (base 4) to base 16.\nAnswer: 18a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/7))**29*v**(-3\/5)*v*v**(-5) assuming v is positive.\nAnswer: v**(-741\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-2 - (28 + -12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.8 - -3. Let u = b - 0.1. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205017 is divided by 4100.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.272 + -0.672. Which is the closest to -0.2? (a) 4\/9 (b) 0.181 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**3\/7 - 5218*y**2\/7 + 12548*y\/7 - 4184\/7 = 0.\nAnswer: -1046, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i*i**(1\/5))\/i))\/i*i)\/i*i**(3\/7)\/i assuming i is positive.\nAnswer: i**(-62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180963 rounded to 5 dps?\nAnswer: -0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2 + 7*z**2 + 2 - 6*z**2. Let n(o) = -2*o - 5. Let j be n(-4). Let t(b) = -j*b + 2*b - 3*b. Determine c(t(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -3*j - 12, 12*j - 9 = -2*f + 9*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/89 (b) -0.1 (c) -1\/7 (d) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*n - 14, -96*q + 5 = -n - 92*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 48 - 32 = 0. Suppose 4*x + 5*z = 32, 4*x - m = -x + 2*z. Suppose 4*b + 124 = x*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 19. Let v be (304\/(-6))\/((-4)\/b). What is the second derivative of 76*r**2 - 13*r + 12*r**3 - v*r**2 wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z = 175*z + 820 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*v + 10 = 0, 2*l + 50 = 7*l + 2*v. Let u(z) = -6*z + 25. Let b be u(l). Let i = b + 55. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41253097 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 12. Suppose 5*i - 20 - 5 = 0. Suppose 462*t = -71*t + 21115 + 10865. Let z(v) = -1. Calculate i*b(y) + t*z(y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*a**2 + 12*a - 90.\nAnswer: -2*(a - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - 123. Solve s + o*y + 10 = 0, 5*y - 4*y = -s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16 and 2.35.\nAnswer: -13.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3*y - 12*g**2*y**3 - 97*g**2*y - 16*y**3 + 459 wrt g?\nAnswer: 3*g**2*y - 24*g*y**3 - 194*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 40 = 3*i. Let w(t) = t**3 - 9*t**2 - 8*t - 9. What is the smallest common multiple of w(i) and (-4)\/26 + (-162)\/(-39) - -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1635, -5, 3, 16 in descending order.\nAnswer: 16, 3, -1, -5, -1635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128877 + 57774. What is w rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5 + 12*c**4 - 24*c**3 + 20*c**2 - 6*c = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(2 - 0) + (-26)\/(-10). Do s and -0.02 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23518 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006793093 to 6 decimal places.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 6*a**2 + 7*a + 7. What is z(6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.4356805 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2 (b) -5 (c) 0 (d) 7.80074 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/2)\/((-3)\/(-1)*(-50)\/(-50))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 136, -5, 2, 437, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i\/(i\/i**(4\/7)))\/i*i**(2\/15)*(i*i*i**(-1))**(-1\/12) assuming i is positive.\nAnswer: i**(87\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291 + 416. Calculate the remainder when f is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -599\/10 - -60. Let b = -2865 + 2864. What is the biggest value in -2, 141, b, r?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19306296 + -19306504.00159. Let g = -208 - z. Round g to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 33. Let i(n) = -n**3 + 2*n**2 - 11. Let z be i(0). Let x be m(z). Which is the closest to x? (a) 0.4 (b) -1\/9 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j + j - 18*j in the form k*j + z and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 = 5*h - 103 - 89 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7 or -57.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h. Suppose -2*x + 26 = 4*i, -3*i + 2*x + 19 = 2*i. Let n(f) = -2*f + 5. Let v(y) = 2*y - 4. Let o(b) = i*v(b) + 4*n(b). Determine o(p(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 32488 (c) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 60*c**5\/7 + 361911*c**4\/7 + 727525521*c**3\/7 + 487126615407*c**2\/7 - 80134257615*c + 146389091958\/7 = 0.\nAnswer: -2011, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x + 1. Let v(n) = 38*n - 6. Let s(c) = -13*c + 2. Let b(g) = 8*s(g) + 3*v(g). Let w(k) = 2*b(k) + 5*j(k). Find the first derivative of w(o) wrt o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*6\/(-8). Let z = 0.6064 + -0.1064. Which is the nearest to x? (a) -0.1 (b) z (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 5*s + 2. Let q be z(-4). Let d(b) = b**2 + 3*b + 2. Let p be d(q). Let l = p - -4. Solve -l*v + 27 = -3*r, r = -2*v - 2*r - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 843.968 years?\nAnswer: 10127.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -32 + -6 + 1 + 1. Let b be (-1242)\/p + (-1)\/2. Find the first derivative of 3 + b*s**4 + 2 - 38*s**4 wrt s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 27*q - 46. Let z be l(-25). Solve -p + z*p = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2690, 10787, 24288, 43193, 67502, 97215?\nAnswer: 132332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose x*d + 3500000 = d. Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 5219678?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-13) - (9 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 134*b**3 - 262639*b**2\/7 + 2626360*b + 2800 = 0?\nAnswer: -1\/938, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 2\/3 (c) 14 (d) -3 (e) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25845 + 0.75845. Sort 2, -4, d, 8, 0.05.\nAnswer: -4, 0.05, d, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3696 divided by -4?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-3 - (-44)\/12) - -100.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 268, 370, 436, 454, 412, 298?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:47 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a - 31 + 0*a + 31 + a**2. Let k(r) = -12*r - 2. What is k(f(h))?\nAnswer: -12*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 376, -39, 4, -110 in decreasing order.\nAnswer: 376, 4, -39, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -74335.\nAnswer: -74331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301761827?\nAnswer: 301761827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:37 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58\/47 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-7)\/3)\/((-1)\/12) - 4 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -421, -669, -865, -1009, -1101, -1141?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-3)*(8 - 11). Suppose 5*p - 21 = -2*j + 4*j, -3*p + 25 = u*j. Solve -j*r + 3*r = 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/5 - 186*g\/5 - 76 = 0. What is g?\nAnswer: -2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 0, w = 3*c + 3*w - 9. Let p = 8 - c. Let s be -2 - (p\/1 + -5). What is s rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295973 is divided by 3993?\nAnswer: 3991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 357 * 0.1\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2388, -2379, -2366, -2349?\nAnswer: -2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206659240.\nAnswer: 2, 5, 5166481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x + 2. Let q = x + 7. Suppose -2*l - 2*p - q = 0, l - 5*p = -3*l + 19. Solve -3*f + 3 = -0*a + 4*a, 5*a = -f + l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + 4. What is the remainder when v is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515723.6mm to nanometers.\nAnswer: 515723600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 137*p**2 - 39*p - 9. Let r(k) = -2*k**2 - k - 2. Let q(v) = o(v) - 4*r(v). What is the second derivative of q(s) wrt s?\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112832454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 95.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64289 + 13*y - 32209 - 32080 - 2*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1060, 1058, 1056, 1054?\n\"Answer: -2*f + 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 220 + 78?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 2. Let n be f(3). Let m = -5 + 10. Suppose -5*q - 28 = -4*o, o + m*q + n = 8. Solve -4*x - 9 = -o*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*-1 - (-1)\/10. Which is the nearest to d? (a) -3\/2 (b) 1\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 3 = 21*b. Solve -b*u + 5*d + 12 = u, 0 = -2*u + 2*d + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*t + 1884 = -4931 + 1153 - 573 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375819 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*o**2 - 7244578*i + 26*o**4 - 397*o**2 - 10*o - 3 with respect to o.\nAnswer: 2*i*o + 104*o**3 - 794*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 7*o - 5*n + 921, -691 = -3*o - 4*n. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p - 537*p + 4759808 = -15609866. What are the prime factors of p?\nAnswer: 23, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, f: 8, t: 3, n: 6}. What is prob of sequence ty?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 3042?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s + 18. Let t be (-2)\/(-4) + ((-308)\/8)\/7. Let j(q) = q**2 + 2*q + 16. Let i(n) = t*y(n) + 6*j(n). Give i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 5*s**2 - 3*s. Suppose 4*n - 5 - 3 = 0. Suppose 4*t + 16 = -3*r, 2*r + n*t - 10 = 5*r. Give q(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3034, 6162, 9290, 12418, 15546, 18674?\nAnswer: 21802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2. Let g be t(-2). Find the third derivative of 5*a**g - 2*a**3 + 5*a**3 - 4*a**2 - 2*a**3 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 921.5014ml to litres.\nAnswer: 0.9215014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3 - 27*k**2 - 85*k + 139. Let i(h) = -h**3 - 4*h**2 - 12*h + 19. Let w(p) = -15*i(p) + 2*q(p). Determine w(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7600 is divided by 241?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 410*n - 10 + 8.\nAnswer: -410*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -34*(-2)\/4*1. Suppose w - d = 4*j, 0 = -3*j + 6*j - w + 13. Let p be 1\/((-1)\/(-2) + 0). Put p, -3, j in ascending order.\nAnswer: j, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a**2 - 13*a**3 + 14*a**3 + 2*a**2)*(2 - 2 - 3*a) in the form f + l*a**3 + q*a + b*a**4 + d*a**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -12)\/4 - -3. Let r = 155 - 135. Solve i*t - t = r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747318?\nAnswer: 2, 3, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 - (-6 - (-5 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7609, 5656, 3703, 1750?\n\"Answer: -1953*j + 9562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375175 divided by 75035.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (8 - -5)) + 8 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4532 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 284, 304, 342, 404, 496, 624?\n\"Answer: z**3 + 3*z**2 + 4*z + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-4)\/22 + 3330\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6707 + 1108732*l + 6707.\nAnswer: 1108732*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80233 take away 2.9?\nAnswer: 80230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 + -499. Suppose -17*o = 51*o + 16864. Let c = o - l. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 31*z**2 - 17*z + 496. Calculate i(31).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -20*t**2 - 239*t + 2605. Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245637994439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 3 - (29 - 11 - 8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -48. Let s be (87*-1)\/((-18)\/204). Suppose u*w = s + 794. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(448)*-3 + (((sqrt(448) + 1)*-5)**2 - sqrt(448)).\nAnswer: 368*sqrt(7) + 11229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 12*b - 3. Let z be g(11). Let x be -1 + z\/(8\/2) + 2. Solve k - 4 = x*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, -4, -30, -1\/3 in descending order.\nAnswer: 126, -1\/3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.4, -1\/5, 1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*i + 5*i = -1, 2*i = 4. Solve 0 = 3*c - 2*g + a, 0 = c - 6*c + 2*g - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/7, 0.2, -32\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3800.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*v + 19. Let r = 4\/7 - 5\/21. Let c be ((-10)\/8 - -1)*6. Sort c, r, v in descending order.\nAnswer: r, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqu when three letters picked without replacement from {o: 1, u: 2, q: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*g**4 + 66656*g**2 + 959*g + 890.\nAnswer: 156*g**2 + 133312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2107 < -0.241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 218585?\nAnswer: -13\/218585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 181721+1709785\nAnswer: 1891506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*f**2 + 2 + (3 + 0 - 1)*(8 + 2 - 14)*(4*f**2 + 19*f**2 - 2*f**2) as m*f + n + v*f**2 and give v.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -107. Let p = -31 - -13. Let k = p + c. Which is greater: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 6. Let v be d(5). Let p = 3 - v. Is 8 a factor of p\/(-8) - (-34)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 209785643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11917 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*n = -13, 1 = k - n - 1. Suppose 5 = 4*y + y, -y = -j + 6. Solve -2*b + 7*u - 6 = k*u, 5*b + u = j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (0 + sqrt(833) + 5)*-3.\nAnswer: -21*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -774149 * 0.023.\nAnswer: -17805.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 13) - (-77 + (6 - (-6 - -7)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -27860 bigger than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 22585*b.\nAnswer: -5*b*(b - 4517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208535\/14 - 14902. Find the common denominator of 113\/18 and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3084 - 4?\nAnswer: -3088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*g - z + 14, -4*z = 5*g + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 12 + -2 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/27, -2, 2, 9\/7 in descending order.\nAnswer: 2, 9\/7, 2\/9, -2\/27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.46922m to micrometers.\nAnswer: 76469220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -145214400 (base 6) to base 14\nAnswer: -5959a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1049559 divided by -6519\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/10)\/((-15)\/(-20)). Factor 205*g**2 - 200*g**q + 33*g + 83*g + 14*g + 845.\nAnswer: 5*(g + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 + -476. Let n be (-114344)\/(-550) + 4\/22. Let t = r + n. Which is the nearest to -1? (a) 5 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317 - -2395518148.\nAnswer: 2395517831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 11*i**2 + 14*i - 6. Let o be y(4). Suppose 86 = -5*q - 2*c, 6*c - 3*c = -4*q - o. Which is bigger: -21 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5905.\nAnswer: 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 4, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 210 * 58\nAnswer: 12180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.465 centuries to months.\nAnswer: 42558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45735 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/6 + n**2\/2 - 9*n. Let t = 2 - -4. Let j(h) = -h**3 + 3*h**2 - 2*h - 6. Let a(k) = t*o(k) + 2*j(k). Factor a(y).\nAnswer: -2*(y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415533042 a multiple of 802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 6*l + 5. Let v be j(-6). Suppose 3*z = -0*z + 18. Solve 5*p + 5*r = -35, z*p - v*r = 2*p + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.019 (c) -0.2 (d) -496 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-82 - (80 - 229)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 8 + 23*a - 117278*a**2 - 4 + 117283*a**2.\nAnswer: 5*a**2 + 31*a - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 = 3*f, -2*i - f + 21 = -0*f. Let q = 14273 - 14268. Solve 0*c + c = q*t + i, 2*t - c + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/29))**(-6\/7)\/(t**(-4))**(-14\/11) assuming t is positive.\nAnswer: t**(-11434\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -615999821151 take away 0.05?\nAnswer: -615999821151.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60344593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-3)*2\/(-4). Suppose 2*k = -4*b + 14944, 3*k - 14948 = -z*b - 4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*y - 4, -c + 0*y = -y. Solve -u + 5 = -4*h, 4*h - 4*u + c - 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l + 14. Let y(t) = 3*t - 15. Let g(o) = -5*r(o) - 4*y(o). Let i be g(5). Suppose 5*m - 2*s - 2*s = 745, 745 = i*m - s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**3 + 0*u**3 + 2*u**3)*(6 + 0 + 9) to the form y*u**3 + n*u**2 + x + f*u and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22775 is divided by 4434.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n**2 + 117*n + 131. Let c(i) = i**2 + 2*i + 1. Let t(w) = -9*c(w) - x(w). Find k such that t(k) = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 11, -2, 1, -1, -6 in descending order.\nAnswer: 43, 11, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2762 (b) -134 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-4 + 1 + 6 + -7 + 0)) + 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715945823?\nAnswer: 3, 193, 329293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40, 0.5, 0.4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + sqrt(72)*-1)**2 - ((-1*sqrt(72) - sqrt(72))*-5)**2).\nAnswer: -7130 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320815991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*p**5 + 3*p - 2 wrt p?\nAnswer: 1300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 22004.\nAnswer: 3\/11002","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 1. Let m(o) = 13*o + 8. Suppose 0*g - 5*h + 25 = 5*g, -3*g + h = -7. Let x(f) = g*d(f) - m(f). Does 9 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 23 + 75. What is the remainder when 28 is divided by (-2)\/(-13) + (-193)\/q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -885.1374668 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2294? (a) 10 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 4*i. Suppose 3*h - 5 = i*s + 2*h, h = 2*s + 5. Suppose s = -3*n - 4*n + 28. Solve 0 = 5*u - u - n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15311 - -15311. Put l, -3, 1312 in descending order.\nAnswer: 1312, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -47 - (-5 - -20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -4. What is the lowest common multiple of p and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30488519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*s - 48 = 0, -2*s - 32 = -3*n + 16. Let w(c) = 13*c**2 - 1. Let r be w(1). Let h = n - r. Solve u = h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15633027, -31266061, -46899095, -62532129?\nAnswer: -78165163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 0. Let a = -81 - -93. What is the highest common divisor of k and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 73*w**2 + 18*w + 0*w**2 + 12*w + 17 - 7*w. Is q(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-263 - -273) + 158\/(-16). What is r in 0 - 1\/4*r + 1\/8*r**3 - q*r**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2187, -3.\nAnswer: -5, -3, 2187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 450108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -226 - 3260?\nAnswer: -3486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21.58 times 0.128\nAnswer: 2.76224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - -8) - -1 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8834.19 + -8797. Let b = u - 37. What is b rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 228 + -230.01. Let r = c - -0.01. Let f = r + 1.6. What is f rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 6*x + 27 + 45 + 52 - 30 in the form j + w*x and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:19 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12441212 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 51878\nAnswer: 15563.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 101010100111000100101010010?\nAnswer: 101010100111000100101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449647125?\nAnswer: 5, 31, 89, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 5*m - 3. Let q be n(3). Suppose 0 = 4*d - q*d - 11. Suppose l + 2*u - d = 11, 4*l + u - 53 = 0. Solve -2*g + l = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**3\/3 + 5*f**2 - 15*f - 1. Suppose -7*d - 16 = -4*d + 4*y, -22 = 4*d + 5*y. Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**3 + 23910*k**2 - 71765*k + 47850 = 0.\nAnswer: -4785, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427909563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-9))\/((-4)\/(-6) - 0). Which is the third biggest value? (a) g (b) -2\/5 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300 - 149 - 155 - 123*b**2 + 129*b**2.\nAnswer: 6*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15078 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -103460?\nAnswer: 103464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -4 in increasing order.\nAnswer: -4, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 2*d - 4. Let z be w(-2). Let y(t) = -t**2 - 3*t + 6. Let f be y(z). Factor 6\/11*v**f + 2\/11*v + 0.\nAnswer: 2*v*(3*v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f*s**3*x + 28284*f*s**2*x - 7*f*s*x + 4*s*x + 735*s wrt s.\nAnswer: 30*f*s*x + 56568*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 5*o + 0*o + 7*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822495 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/15 + y**4\/3 + y**2. Factor v(w).\nAnswer: -4*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 467305.1 centuries?\nAnswer: 46730.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.76702 kilometers to millimeters.\nAnswer: 57767020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-40))\/((-9)\/(-330)) - -1. Which is smaller: 0.18 or z?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345 times -7957\nAnswer: -2745165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t. Let m(x) be the first derivative of x**2\/2 + 393. Give -3*d(a) + 6*m(a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1301 - 1534 = -21*a. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -790, 35 in descending order.\nAnswer: 35, 0, -790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*l**4 + 4*l*w**2 - 44*l + 120*w**2 - 172*w wrt l?\nAnswer: -36*l**3 + 4*w**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2236 and 343681?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, n: 16}. Give prob of sequence nnnn.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*i - 20, 6*m - 15 = 5*i + 8*m. Let y = 47 - 46.8. Which is the nearest to 0.1? (a) 4\/3 (b) y (c) i (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.105 (c) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -641682.\nAnswer: -192504.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78, 298, 664, 1170, 1810?\n\"Answer: -w**3 + 79*w**2 - 10*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/2*26\/(-3). Let k = -21 - -25. Suppose 3*r = k*r - b. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53dbab1 - -1?\nAnswer: -53dbab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -284*a + 1718. Determine x(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2478 - 743399\/300. Let o(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + p**2 + 1\/150*p**5 + y*p**6 + 0*p. Determine b so that o(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 20 + 33)*(17 - 21 - 8)*(-m**2 + 3*m**2 + 3*m**2) to the form b*m**2 + k*m + p and give b.\nAnswer: -3060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -279 + 495. Suppose -2*c + 744 = -i. Let o = -336 + c. Calculate the greatest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 618 * 4\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4)*2)\/1. Let r be g\/1 + 2 - -13. Suppose c - r = 8. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 a when four letters picked without replacement from agvpoooyggvpyoa?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-41)\/s*s)\/(s*s**(-23)\/s) assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 17. Let h(i) = 2*i + 8. What is the remainder when t is divided by h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -134*j**3 - 7*j**2 - 6*j + 4. Let c(v) = 135*v**3 + 5*v**2 + 4*v - 2. What is -3*c(w) - 2*k(w)?\nAnswer: -137*w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/63 - (0 - (-242)\/(-14)). Which is greater: y or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8731*y**3 - 4*y**2 + 16*y**2 - 12*y**2 + 27575*y + 27 - 27659*y wrt y?\nAnswer: 52386*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3 - 9738*a**2 + 542976*a - 7590688 = 0.\nAnswer: 28, 9682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-58 + -7) - 77?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 6*v. Suppose v = -107*p + 98*p + 2187. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 45*x**2 + x. Let j be f(1). Suppose 5*m - 99 = j. Find the common denominator of m and ((-1)\/8)\/((-1)\/(-17)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 7.\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/179720 and -53\/8.\nAnswer: 179720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at least -296\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2234 - -9?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15368976 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -218*l + 217*l - 4*r - 22, 0 = -5*l + 2*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b16 (base 16) to base 9.\nAnswer: 28327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -9, 2\/11, -15.54, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3*x + 7. Let h(p) = 2*p**2 - 4*p + 22. Let l be h(5). Let o(r) = -2*r**2 - l*r + 3*r**2 + 6 + 54*r. What is -5*o(w) + 4*t(w)?\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let g(h) = 10*h - 8. Determine 5*a(k) - g(k).\nAnswer: -5*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377200 is divided by 229500?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-855))\/((-8920)\/(-100350))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/414050 and -24\/545?\nAnswer: 45131450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8324 is divided by 78?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4701*t**3 + 66*t + 298*t + 4697*t**3 + 8*t**2 + 352.\nAnswer: -4*(t - 11)*(t + 1)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-303 - 84 + 144)*(1 - 1 - 2*l) + (3*l + 0*l - 4*l)*(-5 + 3 + 3))*(2 + 34 - 1)*(-3 + 2 - 1)*(2 - l - 2).\nAnswer: 33950*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 5, a: 1, f: 1, d: 1}. What is prob of sequence gzd?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -31, -73, -153, -283, -475, -741?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -2422?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13c6 (base 13) to base 16.\nAnswer: b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -3, -65, 120, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8162.03 - 8162. Sort -36, 4, o.\nAnswer: -36, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 2. Let l be d(-3). Let z(a) = -3*a**2 - l*a**2 + 8*a**2. Let w(s) = -2*s**2. Give w(z(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 750 - 4248 = 0. Let q = 358 + m. Calculate the smallest common multiple of q and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 21*n**2 + 115*n - 209. What is w(-6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 19*r - i, -44*r = -46*r + 5*i + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 848216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 864 - 864.001. Sort i, -5, 0.4, 0.2 in decreasing order.\nAnswer: 0.4, 0.2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/199 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {b: 11, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5323859 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*((u**(-2)\/u)\/u)\/u)**39\/(u**(-2\/3)*(u\/u**(-8))\/u*u) assuming u is positive.\nAnswer: u**(-376\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -64, -105, -144, -175?\n\"Answer: m**3 - 8*m**2 - 20*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1505453?\nAnswer: 1505461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2755358348?\nAnswer: 2, 688839587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*y - 720 = 0. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, -2\/13, 5, 3, 2 in increasing order.\nAnswer: -2\/13, 2, 3, 5, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.504193 years to decades.\nAnswer: 0.5504193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342136?\nAnswer: 2, 127, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 18*y - 4. Determine v(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 24*h - 15*h - 10*h)*(-2*h + 1 + 5*h**2 + 4*h**2 - 4*h**2) to c*h + j*h**2 + l*h**3 + t and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167 by 1.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-28))\/(162\/(-36))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5382?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = -k + 5, 0 = -4*k - t + 16. Does 19 divide 57*2\/20*2*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-4)*-1*138\/(-184).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 12:43 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17. Let x = -0.1 + -0.1. Let o = -5 + 10. Put x, o, a in increasing order.\nAnswer: x, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*b - 31 = 0, 0*b - 2*b = 4*a - 12. Suppose 0 = 3*t - a*l - 21, 5*t + 2*l - 4 + 0 = 0. What is the highest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, v: 8, h: 1, z: 1}. What is prob of picking 1 r and 1 v?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) -4\/5 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from bzwzxzzex.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -0.061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 367101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 + 2*g**3\/3.\nAnswer: 2*g**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from hhohohoh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/20 + r**4\/2 + r**3\/2 - r**2 + 5*r + 1. Calculate u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*1 + (-1)\/(-1). Let g(j) = -19*j + 2. Let i be g(0). Solve i*h + 1 = c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -298\/1415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/(((-6)\/9)\/(-2)). Let v = b - -2. Solve -c = c + v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116576757 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**3 - 7*a**2\/2 - 6*a - 12. Let g be m(-4). Calculate the common denominator of -21\/20 and ((-9)\/36)\/(2\/g).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from {j: 2, d: 5, b: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1996127 != -5988383\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 35. Determine x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5751 and 32.\nAnswer: -18.4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -905.\nAnswer: -11\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = 50. Let z be u*(1 - (-1 + 1)). Let v = z + 1. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -81. Let r be m\/8 + (-3)\/(-12). What is the units digit of r\/6*(-6)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q**3 + 9*q**2 - 6*q - 7. Let k = -427 - -419. Is a(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5 + 18*w**4 - 45*w**3 - 348*w**2 + 144*w + 1728 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x - x - 2*x - 1 + 1 + (-3*x - 2*x + 6*x)*(-5 + 0 + 3) + 0*x - x - 3*x)*(4 + 2*x - 4) to the form i*x**2 + c + o*x and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 216, 476, 840, 1308?\n\"Answer: 52*o**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28474?\nAnswer: 2, 23, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 30742?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = -o - 2*o, -n = -2. Suppose 4*d - 4*i = -16, 2*d + 3*i - 6 = 6. Suppose 2*l - 3*l + 7 = q, -l + 3*q - o = d. Solve 8 = l*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 9*z + 8 = 11*z, 2*z = -k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4))\/((v*v**(-2\/5)\/v*v*v)\/v*v)*(v**2)**49)**(-17\/4) assuming v is positive.\nAnswer: v**(-8619\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -42975.67\nAnswer: 42975.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432588)\/27730*(-10)\/6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137827411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 10*m - 6. Suppose 4*v - 2*f = 36, 5*v + 13 = 4*v - 5*f. Calculate the remainder when (-1)\/(-1) + (1 - -26) is divided by y(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {m: 1, h: 1, d: 3, b: 2, p: 1, w: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/((900\/1200)\/(6\/16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 d when four letters picked without replacement from ekwkkkkkweeewdkjd?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 28, 43, 58, 73?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32478, 132387, 298902, 532023, 831750?\n\"Answer: 33303*d**2 - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 42 (b) -115 (c) -0.3 (d) 2\/11 (e) -0.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -408, -415, -422?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 23*p + 9. Give f(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(6)*-1)\/(sqrt(3) - (sqrt(75)*-4 + sqrt(3))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 142.4. Put q, -27, -3 in descending order.\nAnswer: q, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/120 + 7*b**5\/60 + b**4\/24 - b**3\/2 - b**2. Let v be (-24)\/((-480)\/140)*-1. Determine l(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 16\/58051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 >= -176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 0*r = 5*v - 14, 50*v - 16*r + 56 = 52*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + 168. Put x, -5, 4 in descending order.\nAnswer: x, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, -2, -6, 2\/1529, 14\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b3f97 + 3?\nAnswer: b3f9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 66. Let r = -4 + 1. What is the third smallest value in -2\/7, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 111?\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-72)*(-2736)\/(-96)*(-12)\/2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -177. Let o = -3 - 2. What is the nearest to r in 2\/9, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 < 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j\/(j\/(j*j\/(j*(j\/(j**(-3\/5)\/j))\/j))))\/j))**(-3\/8) assuming j is positive.\nAnswer: j**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16720042 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: Calculate -36 divided by 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4969446251.\nAnswer: 7, 11, 64538263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 76*f - 1172. Give j(20).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -x + 16, 3 - 23 = -3*x + n. Suppose 1 = o + x. Let b be 17 + (4 - (-15)\/o). Is 15 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -3\/25, 0.1, -5\/49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*b + 36 = -691*b - 2*h, 0 = -b - h + 4. Let f(l) = -6*l + 18*l + 2 + 0. What is the remainder when f(2) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 - 18*p - 27. What is h(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*w + 410, 2*a = -2*w - 3*w + 425. What is the remainder when w is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 10 (c) -0.6 (d) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1887669\/5 and 377534 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 622 - 272. Let h be (0 - 6\/18)*1*-42. Calculate the highest common factor of r and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, x: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-1 - 7 + 0)*(5 + 3 + 3*f - f).\nAnswer: 32*f + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 9. Let f(l) be the second derivative of -l**4\/12 - 5*l**3\/6 - 13*l**2\/2 - 7*l. Let a be f(-3). Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/384 and -9\/10432?\nAnswer: 62592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42682 is divided by 4263.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/3 - r**2\/2 - 8*r - 2. Suppose 2*o + 74 = -3*v, -o = 3*v + 24 + 46. Let c be v\/33 + (-6)\/(-9). Determine q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 9*u - 16. Determine p(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojjjv. Give prob of sequence joj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k**3 + 99*k**3 + 10*k**3)*(5*k - 9*k - 1 + 7*k).\nAnswer: 351*k**4 - 117*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.099 + 4.801. Let g = 0.08 - -0.02. Let f = k + g. Which is the closest to 0.1? (a) 7 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212122121 (base 3) to base 9.\nAnswer: -125577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-84) + 4\/(-14). Let j = o + 1\/2. Do j and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6062182109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - 2\/3. Suppose a = -1 - h. What is the units digit of 258\/24 - a\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, 294200, -4 in descending order.\nAnswer: 294200, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15561444 a multiple of 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 - 8*w + 2. List the prime factors of a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*a**2*z - 3*a**2 + 2*a*z + 18*a - 7749*z - 3088 wrt z?\nAnswer: 73*a**2 + 2*a - 7749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 33*i**2 + i. Let k be j(-1). Suppose -w = -5*w + k. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7 and -99\/248.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1072 equal to -1070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(405) - (2 + sqrt(405) + 1 - sqrt(405)))**2*2 + 4 + 4*sqrt(405)*1).\nAnswer: -216*sqrt(5) + 2496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times 50?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 3:00 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.6 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 24*a + 16. Suppose 0 = 4*q - 3*h - 25, a*q - 10 = 2*q + 2*h. Suppose 9*u = 7*u - q. Sort 1, -4, u in descending order.\nAnswer: 1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and -99\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/2601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 4. Let g = 19208653\/12 - 1599842. Let h = g - 879. What is the third smallest value in -4, h, 1\/5, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*h - 60, -5*y - h = 60 - 20. Let u = -6 - y. Let g(m) = -4*m**2 - 158 + 80 + 77 + m**3 + 3*m. Give g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 9:38 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3351716519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*c - 2)*(6*c - 2*c - 2*c) - 4*c**2 + 5*c**2 - 3*c**2 - c**2 + 33*c**2 + 14*c**2 in the form x*c + j + d*c**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.41825 - -7.4. Round q to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.457433 - 13.\nAnswer: -8.542567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(19) + -1 - sqrt(19))**2)*3 + -1 + (sqrt(190)*1*-1)\/(2*sqrt(250)).\nAnswer: -1 - sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387, -391, -397, -405, -415?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 5. Suppose p*w + 29834 = -2*x, 3*x - 1 + 16 = 0. Let q be ((-8)\/9)\/4 + w\/(-36). What is the highest common divisor of q and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + 52\/20. Let t(y) = 4*y - 39. Let m be t(12). Solve -k*d - m - 6 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**4 - 8*u - 3*u**2 - 7*u + u**2 + 10*u**3 + 17*u + 1 as s*u**4 + t*u**3 + y*u**2 + p*u + g and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = -8. Let g(q) = q**2 + 11*q + 18. Let h be g(-12). Let c be (-6)\/(-4)*h\/(-45). Put 6, d, c in decreasing order.\nAnswer: 6, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.5. Let q = -16 - -15. Sort j, q, 2\/17.\nAnswer: q, j, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 3. Let u be (0 + -4)\/(1 - 0). Let w = 4 - u. Let d = -5 + w. Give y(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5 - m**3 + 5*m - 4*m**2 - 8*m + 4*m. Let k be g(-7). Let x be (-4)\/10 + k\/25. Solve 0 = 5*o - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -13, 60 in descending order.\nAnswer: 60, -3\/8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 100000442?\nAnswer: 100000433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 827330360 a multiple of 1297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 243, 563, 1011, 1587, 2291?\nAnswer: 3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 149.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8807 - 1.7907. Let g = 0 - 3. Which is the biggest value? (a) w (b) g (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 8*f + 6*f - f - 2.\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -24. Suppose -3*v + 18 = -n. Suppose -5*a + 9 = 2*p, p - 3*a - 38 = -v. Is p greater than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 6*p - 10*p + 2*p. Let w(x) = -80*x. Calculate w(b(i)).\nAnswer: 80*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 4*c. Let f be g(3). Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000118602 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -59.815, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174, 171, 168, 165, 162?\n\"Answer: -3*i + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216167432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (5 + -1 - 18) + (4 - 2) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 453 - 1801\/4. Let q be (4\/(-6))\/((-1)\/(-5832)). Let y = q + 62177\/16. What is the common denominator of z and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106523243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104017 = -578*t - 39281 for t.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 + 8694*p**2 - 4350*p**2 + 361*p**3 - 4347*p**2 wrt p?\nAnswer: 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 77*p - 73*p - 2904, 4*x = p - 744. Calculate the remainder when p is divided by 155.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 832.362 - -9399.7. Let p = 10246 - n. Let b = p - 14. Round b to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -89, -47, -3\/5, 3239?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -18. Solve 2*w = 1 - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401140505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let o(m) = -43*m + 3. Calculate 6*b(h) + o(h).\nAnswer: -49*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 27 - 0. Find the third derivative of 10*z**6 - 5*z**6 + r*z**6 - 13*z**2 wrt z.\nAnswer: 1680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + (-2 - -4) - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -149. Let o = -142 + q. Which is the nearest to o? (a) -0.04 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 390*x**3 + x**2 - 799*x**3 + 28*x + 404*x**3 + 1 as c*x**3 + r + p*x + h*x**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21229 is divided by 592?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196591*o**2 - 1094*o wrt o?\nAnswer: -393182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)\/y)\/y)**(-5))**(-1\/44)\/(y*y\/(y**(-4)*y)*y*y*y*y**(-2\/11))**(-50) assuming y is positive.\nAnswer: y**(17185\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtbmmaa. What is prob of sequence xt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -277 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, d: 5, g: 3}. What is prob of picking 1 g and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:28 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.8 + 29. What is y rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/8)\/(-11)*24. Suppose 0 = s*q - 108 - 24. Solve -5*u - 4*o + 9 = 35, -5*u - 3*o - q = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 11) to base 7\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 5*-26 - 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 5214937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17))*4*2.\nAnswer: 16 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 21*g - 44. Let m(y) = -20*y + 43. Let s(h) = -3*a(h) - 4*m(h). What is the least common multiple of s(5) and 55?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11376767 bigger than 11376771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i, 3*i - 21 = -3*l. Solve -5*n + 13 + l = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23503041791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 3*d**6\/2 - 7*d**2 - 6. Find the second derivative of r(t) wrt t.\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19944357803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11*c = -624. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j + 5*j - 3*j. Let y(q) be the second derivative of -q**6\/180 - 5*q**4\/12 + 4*q. Let t(o) be the third derivative of y(o). Determine t(n(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5, 1, 4, -251?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.56 - -2.44. What is the second smallest value in -3, 2, -3\/4, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 5*j**2 + 2*j - 10. Let z be f(5). Let p(d) = -3*d - 2. Let b be p(-5). Solve -3*h + k = -z*h - b, 8 = 4*h + k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 159*x + 596. Determine n(-4).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 7) + (6 - (-1 - -5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 1342892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 144 = 16. Let d = j - 14. Let f(r) = 3*r - 5. Calculate the remainder when d is divided by f(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**5 - 4*f**4*j**2 - 14*f**3*j**3 - 139*f**2*j**2 - 3*f*j**3 wrt f?\nAnswer: 660*f**2 - 96*f*j**2 - 84*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200.5 + 221. Let g = 19.81 - t. Is g bigger than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44 - 23 - 172 - 179)*(0*c**3 + 0*c**3 - 2*c**4) to the form r*c**3 + l*c + y*c**4 + o + g*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122, 798, 1976, 3656, 5838, 8522, 11708?\n\"Answer: 251*t**2 - 77*t - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022036537 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * -1898.\nAnswer: -341.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041955 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -91, 8\/3, 2.6 in decreasing order.\nAnswer: 8\/3, 2.6, 3\/7, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 2, -5*f - 8 = n + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -146. What is the nearest to 0 in i, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 81 = -3*m, 3*o = 2*m + 180 - 94. What is the remainder when 2393 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10584197 and 9709?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -453299990 divided by 5830\nAnswer: -77753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0*m + 0*m**4 + 0*m**5 + 3\/40*m**6 + 0 - 13*m**2 + 3\/2*m**3. What is the derivative of o(c) wrt c?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 0 + (sqrt(6)\/sqrt(2) + sqrt(3))**2 + sqrt(3) + 1*sqrt(3) + -5 + (sqrt(75) - ((sqrt(75) + -1)*-6 - sqrt(75)))**2 + -3.\nAnswer: -478*sqrt(3) + 4844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 7*o**2 + 125*o\/4 + 77\/2.\nAnswer: (o - 22)*(o - 7)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-15))\/(2\/(-10)). Let k be (-45)\/(-6) - q\/(-4). Calculate the greatest common divisor of 28 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Suppose 330*s = 350*s - 40. Which is the biggest value? (a) s (b) d (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 27. Let j be -1 + 7\/5 + (-24)\/x. Suppose 0*h - j*h + 5*s + 673990 = 0, 2*h - s = 673998. What is h rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 - 70\/8. Let a be 24\/z*15\/(-50). Let -2*f + 2*f**3 + 4\/5 - a*f**2 = 0. What is f?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10 - 7 - 10*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -25*f**3 - f**2 - f. Let v be c(-1). Let x = -25 + v. Solve 0 = i - 5*k - 11, x = 3*k + 12 - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*u - 5*c - 27, c + 4 = 0. Solve 6 = u*q - 10*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 588.861826?\nAnswer: -589.061826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -5, 4, 16 in descending order.\nAnswer: 16, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -0.06, 4, -223, -1.8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyy when three letters picked without replacement from {n: 5, q: 2, y: 3, w: 5, e: 5}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-12 - (1 - (25 + -13))) - -21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y = 41*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 3. Let g be s(6). Let v be (g + 1 + 1)*-3. Suppose -v*d - d = -56. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 at most as big as 430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 34 = 4*p, -62*p + w = 29*p + 473 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -29193000 to the nearest 100000.\nAnswer: -29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - 4 - (-30)\/(-3). What is the units digit of z\/(-2) + (134 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 255*z + 4609. Calculate u(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-10))\/1)\/((-72)\/(-240)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:53 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5376)\/(-36))\/(-14))\/(47\/(-47))*(-36)\/4.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f**2 + 6*f + 1. Is m(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10626 + -1?\nAnswer: -10627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1*o)**(-6\/17)*(o\/(o**(-2)\/o))**(-10))**(-12\/5) assuming o is positive.\nAnswer: o**(8232\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.143 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 1 + 0 - n**2)*(26*n - 151*n - 41*n).\nAnswer: -498*n**3 + 166*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2403 - 2407. Let g be 3\/(-6)*0 + 4. Let r = 0.4 - 0. What is the smallest value in r, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 1.8 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f - 5*g = 45, -4*g - 1 = 3*f. Suppose -6*n + f*n = 0. Let p be 0 + 1 + 3 - 2. Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6744844 is divided by 124.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 2*r**3 - r**3 - r**3 + 3*r**3 - 3*r**3 + r**3 + 0*r**3 - 2*r**3 + (2*r - 2*r - 2*r**3)*(2 + 2 - 2) + r**3 - 3*r**3 + 0*r**3 + 9*r - 9*r**3 - 9*r.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 55*v + 206. Let y(z) = z**2 - 5*z + 1. Let g(s) = -3*q(s) + 6*y(s). Solve g(f) = 0 for f.\nAnswer: -3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 682, 695, 708, 721, 734, 747?\n\"Answer: 13*c + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.291554km in nanometers?\nAnswer: 7291554000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfq when three letters picked without replacement from fffqlfqqfxqffqfqq?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 39*k**2 - 23\/2 - 7\/4*k**3 + 117\/4*k = 0?\nAnswer: -1, 2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -13. Let b = -24 - -57. Let t = b + h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 103.\nAnswer: 100\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 11?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15004883 is divided by 5001627.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 1. Let t(i) = 2*i**2 - 8*i - 2. Let o(u) = -t(u) + 3*z(u). Calculate o(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34928 and 8201.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 + 231 = -4*o. Let t(x) = 63*x - 64. Does 17 divide t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dadddddaadadwddw?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39617 - 498?\nAnswer: -40115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12 - 2*s - 13*s - 4*s**2 + 3*s**2. Calculate i(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 74 - 2*h**3 + 54 + 0*h**4 - h**2 + 5*h**2 in the form y*h**4 + n*h + f*h**3 + v*h**2 + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*42\/(-224))\/((-35)\/2).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321480959, -642961918, -964442877, -1285923836, -1607404795, -1928885754?\nAnswer: -2250366713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 8 = -4*x, 6*x - 2*z - 2 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -39?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**2 - 78. Let i(l) = 7*l**2 + 76. What is 5*i(c) + 4*t(c)?\nAnswer: -c**2 + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-7))\/n)\/(n**13\/n))**(-1)*((n*n**(-7)*n)\/(n**(-4)*n))\/(n\/n**(-2))**(-3\/2) assuming n is positive.\nAnswer: n**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4)\/(-6)*3\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59154364 to the nearest integer?\nAnswer: 7691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/3 - 58525356*t**4 + 3853369632368642*t**3\/3 - 2568912912669696*t**2 + 3853369281216512*t\/3 = 0. What is t?\nAnswer: 0, 1, 43894016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 787307, 786814, 786321, 785828, 785335, 784842?\nAnswer: 784349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 6 (b) 3 (c) 1\/7 (d) 105 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 - 5. What is u(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (166*t - 340*t - 230*t)*(3 + 1 - 5)*(1 + 7 - 4)*(0 + 6 - 2) as b + n*t and give n.\nAnswer: 6464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -30951 = -30554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 3 - 18 - 4 - 11. Let b be n(7). Solve -3*w - 2*t - 28 = -7*t, -b*w = 5*t - 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3011 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 4*f + 5. Let h(s) = -4*s**2 - 5*s - 6. Let g(d) = -2*h(d) - 3*l(d). Let q = -233 - -229. What is g(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 86, -2, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 4)\/((-6)\/(-63)). Let m = c - -27. Does 12 divide (135\/m)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2793) - (-2*sqrt(2793) + sqrt(2793))*1)\/(4*sqrt(300)).\nAnswer: -5 + 7*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (0 + sqrt(208) + 2)*-1 + (sqrt(208) + sqrt(208)*1 + 4 - sqrt(208)) + (1*(sqrt(208) + 0) - sqrt(208) - sqrt(208) - sqrt(208)))*-4 + 4)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -23. Let i = u + 1.5. Which is the nearest to -1? (a) 4 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 178, -2\/3, 1\/3, 40, 2\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -628, -622, -614, -604?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*k + 2*p, -8 + 21 = 3*k + 2*p. Solve -4*w + k*s = -4, -w - 4*s = -s - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342 * 1.8\nAnswer: -615.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 - 15085*o**2 + 15024*o**2 - o**4 - 725*o**5 wrt o.\nAnswer: -43500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 7773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.03 + 4.03. Which is the nearest to k? (a) -4 (b) -0.02 (c) -3\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39360963?\nAnswer: 3, 13120321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -511265.6 and -106191?\nAnswer: 405074.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 31. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:04 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 860995504 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 + y**2)*(16*y**3 + 4*y**3 + 11*y**3)*(-4 + 4 + 13)*(3 + 3 - 5).\nAnswer: 403*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - (-114)\/12. Let w = -10 + g. Let n(i) = -i**2 + i + 1. Let b(o) = -5*o**2 + 4*o + 4. Determine w*b(x) + 4*n(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (483\/(-230))\/(45\/(-30))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-32))\/(-1*3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Suppose z*w + p - 10 = -2*w, 5*w - 4*p + 15 = 0. Suppose 0*s - 2*s - 6 = o, -o - 5*s - 15 = 0. Put o, w, -7 in descending order.\nAnswer: w, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -85. Suppose 0 = -u*o + 51*o + 3. Let d(g) = -159*g - 4. What is the hundreds digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:56 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d**2 - 3*d + 1. Let f be l(-5). Let q = -173 + f. Suppose 5*n = -4*x + 501, -3*n + q = 4*x - 106. What is the remainder when n is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5043 - -0.16?\nAnswer: 4.6643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 5. Is 1545\/20 + 2\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let t(w) = -w - 1. Let h(y) be the first derivative of 5*y**2 + 11*y + 2. Let f(s) = -2*h(s) - 22*t(s). What is n(f(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*1\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/96*(-27)\/15)\/((-3)\/(-30)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004718 to four decimal places.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p**2 + p - 5. Let c(w) = -4*w**2 - 2. Suppose 0 = -3908*s + 3892*s - 48. What is s*j(n) + 8*c(n)?\nAnswer: n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-225)\/(-425)*2\/9. What is the nearest to r in -1\/4, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 666525?\nAnswer: 666511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 296634 and 142.\nAnswer: 42122028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 0*b + 6*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 129 + 39. Let m be 618\/z - (-2)\/7. Let g = 15 - m. Which is the closest to g? (a) -2\/15 (b) -4\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, g: 2, u: 2, s: 4}. Give prob of picking 2 u and 1 g.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/13 + 13964*c**3\/13 + 97542*c**2\/13 - 753156*c\/13 + 1004400\/13 = 0.\nAnswer: -6975, -12, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.201 + -11.201. Let p = h + 9. Which is the closest to 1? (a) 0.2 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + s - s)*(-7436214 + 1589*s**4 + 7436214).\nAnswer: -3178*s**5 - 3178*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 17\/3*u**3 - 7\/24*u**4 + 0 + 0*u - 1\/15*u**5 - 1\/360*u**6 - 5*u**2. Let c(x) be the first derivative of r(x). Give c(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282\/35227 - 3792782589\/352270. Let b(c) = -7*c**3 - 13*c**2 + 9*c + 33. Let g be b(11). Let p = a - g. What is the common denominator of p and -17\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2*n*w**2 + 2*h**2*w**3 + 3*h**2*w**2 + 3*h**2*w - 11*h*n*w**4 + h*n*w**3 wrt w.\nAnswer: 12*h**2 - 264*h*n*w + 6*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.076422 and -3.\nAnswer: -0.229266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, -5, 51192 in descending order.\nAnswer: 51192, -5, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.6. Let w be ((-1)\/(-9))\/((-6)\/(-9)). Let m = 1\/30 + w. Which is the biggest value? (a) -0.2 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/16527*(-139164)\/(-28))\/(-15). Let u = -28\/787 + a. What is the common denominator of 56\/165 and u?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 40 (b) -3\/5 (c) 1\/4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.034 and -66.9?\nAnswer: -2.2746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**3 - 3*j + 1. Let u(w) = 8*w**3 - 3*w + 1. Let h(q) = -q**3 - 15*q**2 - 13*q + 9. Let v be h(-14). Determine v*u(t) + 6*m(t).\nAnswer: 2*t**3 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10663*w**4 - 1706*w - 1?\nAnswer: -127956*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114722 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 753*t - 30880. What is c(41)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-60)\/140*1\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -428.6228 * -13.\nAnswer: 5572.0964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 14. Let n = s + 4. Let x = -25.00043 + n. Round x to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-180)\/810)\/(4\/16*-2). What is the closest to c in -4.2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 58. Suppose -5*v + r = 4*c, 0 = -4*v + 5*v. Suppose w + 3 = c*g, -8*g + 3*g - 12 = 4*w. What is the smallest value in 4, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50874 + -50873.5. Let t be ((-2)\/4)\/((-2)\/6). Put l, t, -5, -0.1 in ascending order.\nAnswer: -5, -0.1, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 6*b**2 + 5*b + 20. Let y be k(-5). Find the third derivative of 5*q**2 - 22*q**2 - 3 + y*q**4 + 3 wrt q.\nAnswer: 480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + i + 1441 = 1444, -i = -5*p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*x + 4*s = 131, -3*s + 35 = x. Suppose -1294*y + 1297*y = 4*t + 414, -712 = -5*y + 3*t. What is the remainder when y is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 16451160.\nAnswer: 16451157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -970, -1941, -2912?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-231) + (-1405)\/1967.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzgczzctsgtttyyt. Give prob of picking 1 z and 1 s.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 891, 1332, 1773, 2214?\nAnswer: 2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.4, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -34, -64, -96, -124, -142, -144, -124?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326957, -326954, -326951, -326948?\nAnswer: -326945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 43088 - 744 - 4606. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -67*u - 533. Let m be v(-8). Sort 5, m, -2, -352 in ascending order.\nAnswer: -352, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 124 - 4. Let t = -18 + m. Calculate the remainder when 39 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 467739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -4. Suppose k = -2*k - 9. Suppose 0 = 3*u - 4*n - 5, 3*u = -6*n + 4*n - 7. Sort u, b, k.\nAnswer: k, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*m**3*q**3 - 2*m**3*q + 6*m**2*q**3 - 50*q**2 wrt q.\nAnswer: 108*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**21*i*i\/(i*i\/(i*i**23)))\/((i\/i**(-7\/8)*i)\/(((i\/(i*i*i*i*i\/i**29*i*i))\/i)\/i*i*i)) assuming i is positive.\nAnswer: i**(521\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*h + 42 = -936*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a**2 - 5*a**2 + 4*a**2)*(-4 + 4 + 4*a)*(-3 + 3 + 3*a**2).\nAnswer: 120*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-861)*((-6)\/11 + 772\/44 + -10).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -9 + -8 - (0 - -1 - 14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2, 6, -1283, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -13 - (3 + -10 + 3). Sort i, -0.3, -4 in decreasing order.\nAnswer: i, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8 = -v. Suppose -v*m - 16 = 2*m. Let a be 10*2\/4 - 1. Sort a, 2, m.\nAnswer: m, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*h - 9, -3*h - 2*h = -5*m + 15. Suppose m = -4*j + 17 + 15. Solve 12 = -4*b - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(2\/89))**(-14)\/(v**3*v*v**1)**(-2\/107) assuming v is positive.\nAnswer: v**(-608\/9523)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 5*w - 2*w + (5*w - 5*w - 4*w)*(-6 + 0 + 3)*(0 - 7 + 3) + (-2*w + 3*w + 0*w)*(-5 + 5 - 9) as z*w + l and give z.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290560?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071622 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670, 1225, 1658, 1969, 2158, 2225, 2170?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(3\/4)))\/o*o\/((o\/o**(-6))\/o))\/(((o*o**(-1\/21))\/o)\/((o**(-15)*o)\/o)))**(1\/9) assuming o is positive.\nAnswer: o**(-1697\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86194365*j*n**3 + 12*n**3 + 5*n - 2168 wrt j?\nAnswer: 86194365*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28232 take away -2?\nAnswer: -28230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -1\/6 (c) 2\/5 (d) 0.3 (e) 0.05357 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppxpx. What is prob of picking 1 x and 1 p?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 581, 1567, 2955, 4751, 6961, 9591, 12647, 16135?\n\"Answer: y**3 + 195*y**2 + 394*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 12*g + 5. Calculate n(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140001304 (base 5) in base 16?\nAnswer: -81f0f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k**5 - 6924*k**4 + 247592*k**3 - 70176*k**2 = 0. Calculate k.\nAnswer: 0, 2\/7, 43, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 82702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 12*k**2 + 114. Give a(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*h = 9*h + 1100, -4*t + 3*h = 1080. Let v be (t\/(-26) - 11) + (-2)\/(-4). Solve -4*k = 2*b + b + 11, v = -3*b + 4*k + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8219583 litres to millilitres.\nAnswer: 821.9583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 - 46*y. Let x(m) = 2*m. Determine n(x(f)).\nAnswer: -24*f**2 - 92*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*s - 494*s + 78582 - 78583 as x + n*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 10\/(-4). Suppose -5*s = -n*s. Which is bigger: -1\/10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let u(x) = -207*x. Determine u(n(a)).\nAnswer: -621*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 11*x**2 - 11*x + 4. Let j be k(-10). Let m = j - 6. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Let c be s + 90\/(3\/1). Let j be (-5)\/36 - (-7)\/c. Is j <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 8*u + 7. Let q be m(8). Let x = -3 + q. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 60\/13, -5, 0.02?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19963, 19965, 19967, 19969?\nAnswer: 19971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -1\/10 (c) 33 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 6 - 6)*(-4 + 4 - 3*f)*((2 + 2 - 2)*(-f + 4*f - f) - f + f + 3*f).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186456414.\nAnswer: 2, 3, 31076069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/18*3)\/((-19)\/(-57))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/30 - 38*q**3\/15 - 361*q**2\/5 + 57*q. Solve i(v) = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*p - 40*p - 1364. Let m = 541 - p. Calculate the greatest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - -16.5. Let l = i - 11. Let o = 0.71 + 2.29. Which is the second smallest value? (a) l (b) -11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 8. Let s be b(-16). Suppose 6*i + 12 = s*i. Solve -o + 5*y = -10, 5*o + y + 34 - i = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -11. Let k be -2*(-5)\/(5\/l). Let n(c) = c**3 - 7*c**2 + 3*c + 15. Let d be n(4). Do k and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14584*u + 815. Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -692 (b) 3 (c) -30 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 5\/2 (c) 2 (d) -8 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 348540, 1394150, 3136844, 5576634, 8713532, 12547550, 17078700, 22306994?\n\"Answer: 2*z**3 + 348530*z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13721467\/370 - -37085. What is the common denominator of j and 57\/185?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -6 - -8 - (5 - -2)) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 35. Suppose -22*r + h = -18*r. Suppose -4*u = 2*t - r*u - 201, -3*t - 2*u + 302 = 0. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/(i*i\/(i*i**(2\/5))))**(-5)\/(i**6\/i*i*i*i\/i**(-3)*i*(i**0*i)**(-1\/5)) assuming i is positive.\nAnswer: i**(-258\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 73?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-548 - 55*f**4 + 548)*((0 + 0 - f)*(3 - 6 + 4) + (-4*f - 4 + 4)*(0 - 3 + 4)).\nAnswer: 275*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -643 - -639. Let d = -58 - -52. Let s(i) = 3*i**3 + 2*i**2 - 4*i + 2. Let r(j) = -4*j**3 - 3*j**2 + 5*j - 3. Calculate d*s(u) + m*r(u).\nAnswer: -2*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g\/(g**2\/g)))**(2\/29)\/(g\/(g*g*g*g**(-3\/19)))**(21\/2) assuming g is positive.\nAnswer: g**(21543\/1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 693359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214608.\nAnswer: 2, 3, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2205 - 438. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**4 - 4*s**3 + s - 1. Let f(c) = -6*c**4 - 64*c**3 - 1079*c**2 + 5*c - 5. Let v(b) = -f(b) + 5*i(b). Find the third derivative of v(z) wrt z.\nAnswer: -96*z + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 104168 - 20568 = 0. Round h to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*h - 119*h = -16. Suppose -h*z + 523 = -333. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*q + 42*q + 66. Solve -q*h + 0 = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/j)\/(j*j**4)*(j**1)**(12\/7)*((j*j**(1\/2))\/j**(2\/11))\/(j\/j**(-1))**21 assuming j is positive.\nAnswer: j**(-3501\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 1502.1346873328.\nAnswer: 1501.9346873328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 61226?\nAnswer: 61265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/g**(-2\/5))\/(g**(-1\/6)\/g)**(-3\/10) assuming g is positive.\nAnswer: g**(49\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*4.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -62703210, -125406418, -188109626, -250812834, -313516042, -376219250?\n\"Answer: -62703208*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289238164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/102 - 22\/51. Let z = 36.2 - 43. Let h = z + 7. What is the biggest value in -1\/4, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73000 is divided by 422?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 465790781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 6*g + 3. Suppose 7*l + 289 = 317. Give q(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2. Suppose -15 = -5*w, -4*c - 5*w + 13 + 10 = 0. Let u(a) be the first derivative of -2\/3*a**3 + 0*a**c + 0*a + 3. Calculate x(u(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2*b + 4. Let t be l(0). Sort t, -4, -1, -3 in ascending order.\nAnswer: -4, -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Solve -2*g + 16 = -y*a, -6*a = -4*g - 4*a + 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from vhvn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*c + 16, -5*i - 35 = -5*c - 0. Let a be 48\/15 - i\/(-10). Let k = 1 + a. Calculate the lowest common multiple of k and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 182 = 5962. Let d be (-3)\/(-5) + t\/100. Solve -d*y + 12 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -20, -4, -3, -2\/121, 5 in descending order.\nAnswer: 8, 5, -2\/121, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (289\/(-36125))\/(3\/(-810)*-9)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -23\/2*c**2 + 37 + 2*c. Let i(z) = -z. Determine q(i(y)).\nAnswer: 23*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*l**2 - 155*l + 81*l + 74*l + 33706*l**2.\nAnswer: 33623*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = x, 39*x = 37*x - 2*s + 2. Solve -3*g = x*i + 12, -7*g - 28 = -2*g - 3*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -150 (b) -0.2 (c) -4\/3 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 125*m - 2931. Is n(-88) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 7) to base 14\nAnswer: -c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a - 117940 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 2*s + 2. Let o(g) = 33*g**2 + 17*g + 17. Let m(y) = -6*o(y) + 51*x(y). Let d(v) = 6*v**2. Give m(d(n)).\nAnswer: 216*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(108).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + 0) - (-2 + 1*sqrt(11)) - (0 + -1*sqrt(11) + -2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 2 + 2)*(k + 8*k + 7*k).\nAnswer: 32*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-12 + 45 + -26) - -14?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.74, 4\/7, 1, -84, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-4 - -3)*-3. Let h(c) be the first derivative of -c**2 - 12*c + 3. Let g be h(-7). Put -2, g, r in decreasing order.\nAnswer: g, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-9 + 5)) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 1\/120*f**6 + 0*f + 2\/15*f**5 + 7\/8*f**4 + 2*f**2 + 7 + 3*f**3. Suppose l(i) = 0. Calculate i.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 15*f - 1. Determine k(10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 22992*x**2 + 43937487*x + 441677070.\nAnswer: 3*(x - 3837)**2*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -168.\nAnswer: -168, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -4*t**3\/3 + 8*t**2 - 16*t - 2. Factor f(c).\nAnswer: -4*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-1)\/10*(-6)\/4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -12*b**4\/5 - 9558922*b**3\/5 - 1903598378162*b**2\/5 + 2220876192138*b\/5 - 317268255042\/5 = 0.\nAnswer: -398289, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqx when three letters picked without replacement from {o: 2, q: 1, c: 5, x: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -623 + 2*c**3 - 16702*c**2 + 33747*c**2 - 16796*c**2 wrt c?\nAnswer: 6*c**2 + 498*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7715304 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.5. Let b = -0.02 + -0.38. What is the nearest to 0.1 in a, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) - (-5)\/(-25). Let g = 3 + -5. Let u = -12 - -14. Put u, g, y in increasing order.\nAnswer: g, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 33 - 377*h**2 + 33 - 101.\nAnswer: -377*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617043 is divided by 349?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.7 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k - 53*k + 660. Let v be k*30*(-40 - -35). What is v rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10704 >= -18927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/461 in -4\/9, 4\/13, -1, -6, 2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 71. Calculate w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*x + 522974 = 3335329 + 14592125. What are the prime factors of x?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 41 - 99. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147444, 147467, 147490, 147513, 147536, 147559?\nAnswer: 147582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y - 1. What are the prime factors of d(5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10123101231 (base 4) to base 13\nAnswer: 31818c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {g: 1, j: 1, a: 4, n: 1, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - 4.30064. Let n = 0.1 - w. Round n to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.35 * -1641.\nAnswer: 13702.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -5\/10446984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020020110 - -21012?\nAnswer: -1012222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 > -4976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, g: 3, r: 1, k: 1, o: 2, d: 1}. What is prob of sequence odk?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1395, 1409, 1431, 1461, 1499?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236062 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-105) - (-124)\/(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 8*j - 10*j + 2*w, 0 = -2*j + 4*w + 74. Suppose 2160 = -34*q + j*q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3) + 0 + 28 - (28 + 2 - 21).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 17286 - 3*n - 3*n**2 - 5859 + 7207.\nAnswer: -3*n**2 + 18634","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*n**5 + n**4 + 0 + (4*n**4 + 2*n**4 - 3*n**4)*(0*n - 4*n + 2*n).\nAnswer: -4*n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20\/37 (b) 1\/11 (c) 1\/207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-787348.7\nAnswer: -70861.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 268210176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428130.2 litres in millilitres?\nAnswer: 428130200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 - -0.06?\nAnswer: -2.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 7 + -5)\/(-1). Suppose -5*z - 4*c = -6801, 3*c = -y - 3. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*d = -111, -b + 4*d + 31 = -0*d. Let l = -16 + b. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-156)\/(-56) + 3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**6\/90 + 11*n**5\/60 - 11*n**4\/12 + 37*n**3\/18 - 7*n**2\/3 + 138*n. Factor p(s).\nAnswer: -(s - 7)*(s - 2)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 4*j = -21, 4*b + 2*j - 53745 + 53773 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - -20. Let y = a + -50. Solve y = -7*m + 2*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2. Let o(f) = -43*f. Calculate o(x(q)).\nAnswer: 129*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 48. Sort 1, -3, q.\nAnswer: -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(5\/40). Suppose -3*k + 3 + z = 0. Suppose -5*j + 18 = 2*a, 0 = -4*j - k*a - 3 + 23. Solve -13 = -j*y - 2*g + 3, 0 = -y - 5*g + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -8 (b) 5 (c) 4 (d) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)\/s*s*s**(-4)\/s assuming s is positive.\nAnswer: s**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/339065 and -119\/39690550?\nAnswer: 674739350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*s = o + 31 - 37, -1137*o + 2*s - 3 = -1134*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2 - 17*t - 2 + 21*t. Let u(v) = -20*v. Calculate 11*b(f) + 2*u(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -z - 14, -7*d = -4*z - 3*d - 20. Suppose -3*l - 25 = -37. Sort z, -15, l.\nAnswer: -15, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 11 = 2*x + 3*q, -5*q = -x - 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0*i - 2 + i**2 - 2 - 2*i - i. Let s be b(4). Suppose s*g = -4*g + 112. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735 = -1132*d + 1083*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26801.00000055969 + -26801. Round k to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*a = -5, 5 - 4 = 3*n - 2*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34345 to three dps.\nAnswer: -0.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093486374.\nAnswer: 2, 7, 149534741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 + 4 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/90)\/(1\/4*-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.3, -10, -3\/5, 0.14 in descending order.\nAnswer: 0.3, 0.14, -1\/2, -3\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98)*2)**2 - ((sqrt(2) + sqrt(2)*-1)**2 + -2)*-1 - (-4*(sqrt(8)*3)**2 - sqrt(20)\/(2*sqrt(250))).\nAnswer: sqrt(2)\/10 + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 3)*(4*a - a - 2*a) - a + 2*a + a + 0*a - 2*a + 0*a)*(-4 + 5 + 1 + (2 + 0 + 0)*(9 - 4 + 1)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*g - 19, 5*g - 3*i + 28 = 8. Suppose 2*o = 5*l - 37010, -7394 = -l - 0*l + 2*o. Let h = l + -2391494\/323. Do h and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36306275 (base 8) to base 7.\nAnswer: -124465104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (110943\/36)\/21 + 1\/4. Let h = 165 - y. What is the remainder when 177 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 9*u - x + 109 - 90 = 0, -4*x - 327 = 3*u - 0*x - 318 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, 0.01, -0.044, 0.4, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1081 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15825 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(144)*-5 + sqrt(144) - (sqrt(144) + sqrt(144)*1)*2)\/((sqrt(330)\/(sqrt(11)*3))\/sqrt(10)).\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (1 - 2)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 11*j - 10. Calculate u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*j = -28, -3*v + 4 = -4*j + 26. Suppose 3 + 5 = -2*z. Put z, v, -2, 3 in increasing order.\nAnswer: v, z, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.04252386 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:15 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17803.4 micrograms to milligrams.\nAnswer: 17.8034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/5 - 3198*g**3\/5 + 1140588*g**2\/5 - 137596968*g\/5 + 532342368\/5.\nAnswer: 3*(g - 354)**3*(g - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*p**2 - 9038*a**3*p - 3*a**3 + 2*a**2*p**2 + 2*a**2*p - a**2 + 3937*a*p**2 wrt a?\nAnswer: 6*p**2 - 54228*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6994*k**3*t**2 + 4*k**3 + 10*k wrt t.\nAnswer: 13988*k**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376\/(-51935)*(-60)\/(-48)?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 12*z - 3. Let y be k(6). Suppose -1 = 2*l - y. Let r be (4\/l)\/(3\/6). Which is bigger: -5\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 3*i**2 + 1\/180*i**6 + 0 - 1\/315*i**7 - 1\/9*i**4 + 0*i + 0*i**3 + 2\/45*i**5. Let b(w) = 0. Calculate w.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1235 - 1235 - 162*w**2.\nAnswer: -162*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6566 at most as big as -6567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 3*o. Let p be n(3). Suppose 0 = 3*l + 9 - p. Let x = 9 - l. Solve 4*i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -116 + 38. What is the remainder when 62 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -3) + (33 - 840)*(-4 - -2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 8. Let l be n(-8). Suppose l*g + 3*g = 3. Let v be 11\/1*(g + 4). What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31590684 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14464 (base 8) to base 2.\nAnswer: 1100100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3*u - t**3 + 5648*t**2*u - 220*t + 2 wrt u?\nAnswer: -2*t**3 + 5648*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 2, v: 2, u: 1, l: 1, a: 1}. What is prob of picking 1 u, 1 a, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(99)))**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*n + 204*n**3 + 149*n - 101*n**3.\nAnswer: 103*n**3 - 37*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwiwaiewakkeiw. What is prob of sequence ewk?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3261 = d - 531243, 5*j + 2*d = 534508. What is j rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 434469?\nAnswer: 434472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(4356)*-2*-4)\/(6*(sqrt(972) + -2*sqrt(972)*-2)).\nAnswer: 176*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(52\/(-120)) + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6297, -6409, -6639, -7023, -7597, -8397, -9459, -10819?\n\"Answer: -6*w**3 - 23*w**2 - w - 6267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-15)\/10*3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29720.88 decades to years.\nAnswer: 297208.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 9 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let p(c) = 107*c. Determine z(p(d)).\nAnswer: 107*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 45. Is ((-2834)\/(-65))\/(s\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 6.75?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36930277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1224 = -3*k + 6*k. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -2\/15*b**6 + 0 - 8\/5*b**5 + 16\/3*b**3 - 2*b**4 - 54*b + 14*b**2. Let q(g) = 0. What is g?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33543, -67082, -100621, -134160?\nAnswer: -167699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -40. Solve f - 3*w = 2*f - 9, -2*f + r = -w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqq when three letters picked without replacement from {g: 6, q: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 12\/4 + 239839\/(-9645)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 3 - (2 - -6) - (18 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2751.708 millennia to decades.\nAnswer: 275170.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 2*v**4 - v**4 - 2*v**4 + 0*v**4 + 0*v**4 + (2*v + 4 - 4)*(v**3 + 0*v**3 - 3*v**3) + (22 - 1 + 2)*(-8 - 7 - 2)*(v**4 - v**4 - 3*v**4).\nAnswer: 1165*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2211 (base 4) to base 16\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.26991 rounded to 1 dp?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/490*(153\/(-108) - (-2)\/(-6)). Which is the smallest value? (a) -1\/13 (b) 8 (c) w (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/11 (b) -0.32 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -123, -151, -181, -207, -223, -223?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/5))**44 assuming i is positive.\nAnswer: i**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141738 (base 10) to base 9.\nAnswer: 2130147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3560 and 378072.\nAnswer: 1890360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 - 1278204*o**3*y - 3904066*o*y wrt o.\nAnswer: 60*o**3 - 7669224*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639 minus -36209?\nAnswer: 34570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 10:35 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 986832709 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*v + 308 = 4*k, 0 = 3*k + 5*v - 957. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u + 5*p = 22, -u + 10 = 3*p. Suppose 0 = -4*l - u*y + 72, -y + 15 = 4*y. Calculate the remainder when 53 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12*c + 6. Let s(r) = 25*r + 14. Let g(z) = 3*s(z) - 7*x(z). Let o(m) = 4*m**2 - 45*m. Determine o(g(y)).\nAnswer: 324*y**2 + 405*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19831664 divided by 6?\nAnswer: 9915832\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 542 = 60*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132131243?\nAnswer: 523, 252641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8852 in -2, -0.2, 0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13419 and 22059?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-134)\/(-26) + 24\/(-156). Solve 2*f + 10 = -n*k - 0, f + 3 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.7 - -12.29. Let w = 23.41 + o. Let a = w - 24.17. Round a to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -20002?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*p - 11 = 40, -3*c = 5*p + 153. Let t = -43 - c. Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -297\/8?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-54)*-3)\/((-1)\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*y = 3*i - 17, 0 = 3*i + 2*y - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -5*f + 5*t, 2*f = -8967*t + 8959*t + 190 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 30*y**2 - y - 2. Let i be x(-1). Let o = -50 + i. Let p be (-12)\/o*(-7)\/(-2). Solve 0 = -p*s - 1 - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -23. Let q be (2 + 0)*(-21)\/y. Let l(w) = -4*w + 4. Calculate l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.373 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 16 + (0 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -5647.\nAnswer: 4\/5647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 3:32 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1778 - -2599. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289\/20 - 76\/5. Let c = 0 - 5. Sort -0.1, c, d.\nAnswer: c, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3\/7 - 2*u**2\/7 + 100*u\/7 + 50\/7 = 0.\nAnswer: -5, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = -4*p. What is the closest to -0.1 in 2, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22454.006144 + -22454. Round w to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00816807 to 5 decimal places.\nAnswer: 0.00817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y + 97 + 938. Let g = y - -171. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -894, 5, 3 in descending order.\nAnswer: 5, 3, 2, -8, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (-2 - (2 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.4597795\nAnswer: -2.2988975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 161414.7574 to the nearest one thousand.\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((((-1430)\/156)\/55)\/(52\/24)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2)\/4*0. Suppose -3*o + 3 = -i. Is 2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 449*j**3*u + 334*j**2*u - 9*j**2 - 6934823*j + u wrt j.\nAnswer: 2694*j*u + 668*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*x - r + 8, 5*x = r + 25. Suppose 27*h = 77 + 4. Calculate the remainder when x is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*j + 19. Let h(u) = u**2 - 5*u - 39. Let c be 116\/12 + 2 + (-4)\/6. Calculate the remainder when h(c) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7. Suppose m = 3*r, 4*r = -s + 7 + 4. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 625*v + 46261. What is w(-74)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 44 - 40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 132, 1.\nAnswer: -4, 1, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3\/(-15)*-5 + 11 and 34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-16 + 6 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 5*b + 5, -g + 2*b - 4*b = 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19620 - -20012. What is the least common multiple of 1960 and j?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4074)\/84)\/97)\/(2\/8*(-2)\/59).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 39. Let r = -19.1 - z. Round r to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 272\/(-854) + 10\/35. Is n >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00751772 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56766 divided by 51.\nAnswer: 18922\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*d - p, -21 = -d - 24*p + 19*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-5)\/(-76)*5*115\/(25875\/216)\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 11) to base 16.\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28123 (base 15) to base 5\nAnswer: 13103013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 233232112 (base 4) to base 10\nAnswer: 195478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.20054 times -2?\nAnswer: -2.40108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1. Suppose 278*k - 242 = 267*k. Let w(o) be the third derivative of o**4\/24 - 5*o**3\/3 + 4*o**2. Calculate k*a(j) - 2*w(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -87. Let r = -22 - -38. Suppose 0 = 2*z + 2*z - r. Calculate the least common multiple of z and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 1, r: 4, t: 1}. Give prob of picking 4 r.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 18 = -3*p, -5*p = j + 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -948 (base 16) to base 6.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008229 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-176)*11935\/(-70).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8493 + 25.26\nAnswer: -8467.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14182090 divided by 109093\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 4 = -13*b. Let y(j) = 29*j + 105. Let a(z) = -15*z - 53. Let x(r) = -5*a(r) - 3*y(r). What are the prime factors of x(b)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-18)*(-9)\/(-12). Which is the fourth smallest value? (a) 0.2 (b) 1 (c) g (d) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -15*h**2 + 1. Suppose -5*a - 3*s + 10 = 0, -5*a + 3*s + 10 = -0*s. Suppose -2*o - 11 = -5*y + a*y, 0 = 2*o + 5*y - 13. Calculate u(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/30 + (-11236)\/20. Let l = 628 + h. What is the highest common divisor of l and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srzcicp. Give prob of sequence cz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:30 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 13965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19843487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.6, -52, 77\/19, -2, -0.1?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 8*y - 5. Let j(o) = -o**2 - 6. Let f be j(0). Let l(g) = 2*g**3 - 9*g - 6. Let z(b) = -5*b - 40. Let h be z(-9). Give f*v(w) + h*l(w).\nAnswer: -2*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.67 and 40551602083.\nAnswer: 40551602084.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2362 + 2227 = 15*d. Sort 1, -3, d, 9 in decreasing order.\nAnswer: 9, 1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 + 2 = 0. Let a(u) = 59*u + 1. Let p be a(b). Suppose -4*x + p = -x. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u - 52*u + 9 = 0. Is (11363\/(-3))\/((-1)\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 456575 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 831*o + 18118. Determine s(23).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*j + 8 - 2 + 2.\nAnswer: -792*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(468))\/sqrt(4)*-2 + 5 + -2 + ((sqrt(208) + -4 + sqrt(208) + 2*sqrt(208) + sqrt(208))**2 - sqrt(208)) + 1.\nAnswer: -188*sqrt(13) + 5220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005452330628 to six dps.\nAnswer: 0.000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422599, -845197, -1267795, -1690393?\nAnswer: -2112991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 168\/49 + 16\/28. Solve 4*h + f*g + 4 = 0, -3*h + 0*h = 5*g - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32878501.9 - 113.\nAnswer: -32878614.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 14*c**2 + c - 9. Is 3 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 - 253 = -59*q + 384 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3932 divided by -2000?\nAnswer: 983\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t + 5. Let f(h) = -10*h - 3. Let u(n) = 26*n + 8. Let j(k) = 10*f(k) + 4*u(k). Calculate 10*j(d) - 4*o(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10817 + 22140. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + 1.7. What is the closest to 11 in 2, 0.3, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**4 + 0*l**5 + 0*l**2 + 1\/3*l**6 + 1 - 39\/2*l**3 - 61*l. Find the second derivative of c(g) wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -860.65 - 36962\nAnswer: -37822.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1978 take away -39?\nAnswer: -1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1200 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 77802\nAnswer: 13\/38901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 432 = 34*z. Let d be (-3)\/(-8) + (-14)\/z. Which is bigger: d or 0.47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*y - 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -916320161, -916320162, -916320163, -916320164, -916320165?\n\"Answer: -d - 916320160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2361*s + 2764*s = -6851 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 2. Let s(b) = b**2. Give -2*s(u) - x(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k. Let l = 467 - 475. Determine n(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201857582 - 0.6\nAnswer: 1201857581.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112022211 (base 3) in base 13?\nAnswer: 49a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -759 = -39*q - 330. Let b(r) = r**2 - 13*r + 14. Determine b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let x(l) = 5*l. Let k(p) = -4*u(p) + x(p). Let z(d) = -d. Let s be (-6)\/8*2*(-32)\/(-24). Determine s*z(i) - 3*k(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/2)*i*i)\/i*i**(-4))\/(i\/(i**(-7)\/i)*((i*i**10*i)\/i)\/i) assuming i is positive.\nAnswer: i**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*w**2 + 222*w.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000040892 to seven decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71818499 is divided by 260?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-9)\/d)**(4\/7) assuming d is positive.\nAnswer: d**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1138660619222 and 14?\nAnswer: 1138660619236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8577\/6*14\/21?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuqg. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1490850721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffx when four letters picked without replacement from {p: 4, d: 2, x: 8, f: 3}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 13. Let s = -3 + m. Solve -2 + s = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - 1) + 2042 + -2139?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*n**4 + 157250*a**2*n**3*o + 1555*a**2 - 4*n**2 + 5*o wrt n.\nAnswer: -24*a**2*n + 943500*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j**2 + 4*j)*(-1662 + 1662 + 145*j)*(4 + 2 - 4 + j).\nAnswer: -145*j**4 - 290*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -22 - ((-105)\/(-140) + 9\/4). Let x(m) = -m**3 - 27*m**2 - 50*m + 40. Calculate the lowest common multiple of x(s) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -208?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:59 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/21)\/((-2)\/(-9)). Let c be 0\/((f - 1) + -1). Solve 2*l + 5*s = -13, c*l - 2 = -5*l - s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*m + 66*m = -259*m + 25824. What is the greatest common divisor of 2832 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7) + 4 + -13 + -1 - 13\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -141*q + 1156. Let u be n(8). Solve 0*f = -5*z - 4*f - 31, 4*z + 4*f + u = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from nnpnqnnpnppnnnqnnnnp?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, -37, -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269268889.\nAnswer: 23, 11707343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 104 = -8*a. Calculate the smallest common multiple of 12 and 13 - (28\/(-13) - a\/(-169)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -83, -149, -259, -431, -683, -1033, -1499?\n\"Answer: -3*w**3 - 4*w**2 - 33*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -31*n**5\/12 - 505*n**4\/24 + 27*n**2. Let d(c) = 7*c**2 + 23*c. Let s(m) = 45*d(m) + 2*g(m). Factor s(x).\nAnswer: 5*x*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*q**3 + 66*h**2*q - 3*h**2 - 3986*h*q**3 + 7*h*q**2 - 2*q**3 - q**2 wrt q?\nAnswer: 12*h**2 - 23916*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9650, 19827, 30004?\nAnswer: 40181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019253619 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 3*u**3 - 3*u**3 + 4*u**2 + u**2 + 2*u to the form g*u + f*u**3 + q + p*u**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79557 + -48178. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 10 + 5. Let w(s) = 5*s**3 - 3*s**2 + s - 9. Let d(a) = -a**3 + 1. Let u(b) = -6*d(b) - w(b). What is u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156, -191, -226, -261?\n\"Answer: -35*z - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - -0.31. Let l = i - 1. Which is the smallest value? (a) 3 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*v = 12, -a + 7 = 14*v - 19*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 125363453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3912, 5, 0 in decreasing order.\nAnswer: 3912, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285691 - -400934. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148769597 is divided by 3542133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 1. Let c(o) = -o**2 - 3*o + 5. Let s be c(-3). Suppose 3*i = s*i - 44. Solve -16 = 4*y, 0 = -p + u*p + 5*y + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 25. Let d be u(-5). Let l(t) = 28*t - 327. Let b be l(12). Solve h - 5*k + 14 = 0, -d*h = 5*k - 29 + b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 2699*d**2 - 68 - 940*d**2.\nAnswer: -3639*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61532 by 13.\nAnswer: -61532\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49601520*r + 16147524.\nAnswer: -49601520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 124696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26311 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(272) + sqrt(272)*5) + 1.\nAnswer: -72*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16498566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 - 3*k**3 + 5*k**3 + (-10*k**2 - 6*k + 6*k)*(0*k + 3*k - k).\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-2)*3020\/(-7550).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 40003?\nAnswer: -40005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 449*r**2 + 2431*r + 4679. What is b(-219)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -4a?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + m - 6 + 0)*(-5 + 2 - 1)*(-m**4 - 4*m**4 + 2*m**4).\nAnswer: 12*m**5 - 36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 140984481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(567) + 5)**2 - ((sqrt(567) - (sqrt(567) + -1)**2) + -2).\nAnswer: 63*sqrt(7) + 1162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/27 - 35\/108. Let g = -8 - -10. Suppose g*f = -4*y - 20, 3*y = 2*f - 17 + 2. What is the closest to -0.1 in f, 1, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2962 divided by -52?\nAnswer: 1481\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*y - 27. Let s = -19 - y. Suppose -2 = -3*d + 2*d. Solve s = d*t + 3*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 v when four letters picked without replacement from vfwffvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0*i**3 + 0*i + 0 + 15*i**2 + 1\/150*i**5 - 1\/20*i**4. What is h in b(h) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -829 + 466. Find the common denominator of ((-2)\/1)\/(-1)*l\/120 and -56\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 88\/(-12))\/((-2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -13*i**6\/120 - i**5\/20 - 5563*i**3\/3 + 264*i**2 - 8*i. Differentiate z(v) with respect to v.\nAnswer: -39*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 295, 339, 421, 553?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1493671\/140 + -10669. Find the common denominator of w and -39\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3. Let q be (-64)\/(-36) - 2 - 14\/18. Let v be n(q). Solve -3*p = v, -3*z = p + p + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19.2, 0.59, 4 in descending order.\nAnswer: 19.2, 4, 2, 0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:17 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41002 to three decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 703179 * 44\nAnswer: 30939876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7098042 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306 - 275 - (21 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - g + 1)*(-g - 8 + 8) + 37*g**2 + 33*g**2 - 83*g**2 + 2*g - 2*g + 3*g**2 to the form k*g**2 + j*g + d and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1457573865 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**5 - 41*f**2 - 4*f wrt f?\nAnswer: -840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m**2 - m**4 - 11*m**2 - 2294*m**3 + 2293*m**3)*(2 + 0 - 3 + (-6 + 4 + 1)*(3 + 2 - 1)) in the form q*m + f*m**3 + s*m**4 + a*m**2 + z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 92 = -4*l. What is the remainder when l is divided by (-5)\/30 + 147\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119 - 115?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**1*r)*r)\/r**(-10)*(r\/r**4)**(-15) assuming r is positive.\nAnswer: r**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -445 + 445. Which is the nearest to -0.2? (a) -8.3 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1298 divided by -38851\nAnswer: -1298\/38851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347728606?\nAnswer: 2, 71, 263, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85083943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 3\/(-6))*-10. Suppose 1 - 21 = -o*j. Suppose -2*x = -5*d - 3*x + 41, 4*x + j = d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57125.1091 rounded to the nearest 100?\nAnswer: 57100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -303, -452, -601, -750?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*6*(-8)\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2535, -2272, -1857, -1308, -643, 120?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*q**4 - 50*q**4 - 18*q - 55*q - 23*q wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553996349?\nAnswer: 553996349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 581, 1710, 3345, 5450, 7989, 10926?\nAnswer: 14225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)*o)**4*o**12*o\/(o**4*o) assuming o is positive.\nAnswer: o**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000493069 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -69 (b) 33 (c) -5\/3 (d) -6 (e) 1 (f) 60 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 87, 86, 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 28) + (32 - 12) + (0 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -q. Suppose -l - q*a = -3, -2*l + 3*l - 4*a - 17 = 0. Is 24\/((81\/6)\/l) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1 + (-1 - -3)). Let f be m*(-3 + 3)\/(-2). Solve 3 = -2*i + a, f = -3*i + 2*a + a - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3151872 and 320.\nAnswer: 15759360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8 - 9 - u + 1. Suppose 0*p = 3*p - 24. Let t(j) = 7*j + 2*j + 2*j - p*j. What is t(i(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 35 + (-3 + 7 - 15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - 7 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/4 (c) 4.7 (d) -105348\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 54 + z + 9*z - 7*z in the form n + m*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:21 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 21*j + 5. Let m be h(2). Let d = m + -35. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.36 and 0.01250798858?\nAnswer: 0.37250798858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3076161 by 33077.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:49 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3517*x**2 + 4*x + 5. What is the hundreds digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjejjjjjjjjjjjjjj.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 436655459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 16 = 0. Let u = 3 - f. Let d be -1 + (-1 - -1) + 0. Is u less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 6*p**2 - 13*p + 5. Give a(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(-13)\/(-26) + -2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, v: 5, h: 4, m: 5, u: 1}. Give prob of sequence mmam.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 43073 - 3873. What is p rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1550.1 to the nearest ten.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w - 32 + 31 - 38. Does 35 divide a(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 44 = -4*v. Suppose 0 = 3*o - m - 275, v = 2*o - 5*m - 148. What is the highest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 36*x**2 - 11*x - 5. Let u(p) = -41*p**2 + 11*p + 9. Give 6*i(n) + 5*u(n).\nAnswer: 11*n**2 - 11*n + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.67865l in millilitres?\nAnswer: 28678.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 16*l - 19. Let i be b(14). What is the tens digit of 2 + 2*2151\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3\/3 - 1354376*a**2\/3 - 2708812*a.\nAnswer: a*(a + 6)*(5*a - 1354406)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 4*t**2 - 2*t**2 + (-4*t**2 + 5*t**2 + 2*t**2)*(-6 + 2 + 3) - 4*t + 4*t - 2*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 - 1 + (6 - 3 - 1)*(-y - 2*y - y) + y + 2*y - 2*y - 2 + 2 + y + (-1 + 1 - 2*y)*(5 + 0 - 3) - 3*y + 4*y - 2*y)*(0 + 2 - 3).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 11*f**2 - 9*f - 7. Let h(c) = -43*c + 97. Let i be h(-7). Let q = i + -386. Determine j(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6675657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3279 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -4*y - 105. Suppose -3*w + 8*w = 8*w. Suppose w*c = -5*c + y. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*t + 434 = 6*t, -s + 2*t = -203. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**3 + 20*u**2 - 3*u + 1. Let a(t) = -5*t**3 + 20*t**2 - 2*t. Determine 3*a(j) - 2*p(j).\nAnswer: -5*j**3 + 20*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/83, 4\/5, -0.01, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -20.3\nAnswer: 81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 11 = -14. What is the derivative of -60 - 31 + 11 + 16*q**3 + v*q**3 wrt q?\nAnswer: 63*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5354429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000413 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 + -8 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60702 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -342, -1371, -3088, -5493?\n\"Answer: -344*q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*k**2 - 14*k + 13*k + k.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4 + q - 6*q + (2 - 2 - 4)*(-62 - 15*q + 62) to the form r + z*q and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0358 - -4.0358. What is the third smallest value in u, 3\/2, 33, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 1381 = -1591 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 72, 5, -2, -11\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*i + a + 4*a, -20 = 3*i - 4*a. Let t = i + 2. Let r(h) = 3*h**2 + 4*h**2 - h**t. What is r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85629216.\nAnswer: 2, 3, 67, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2*o - 4*o)*(o**4 + o**4 + o**4 + (o**3 - o + o)*(o - 3 + 3)).\nAnswer: -8*o**5 + 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583\/(-492)*(-8)\/((-784)\/35)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**3 + 27*s**4 + 71*s**4 + 745 - 376*s**4 - 5*s**4 wrt s?\nAnswer: -1132*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 4*f**2 - 4*f - 8. Let q(a) = -5*a**3 - 9*a**2 + 9*a + 15. Give 4*q(j) + 9*w(j).\nAnswer: -2*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21293 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45248.61 weeks to nanoseconds.\nAnswer: 27366359328000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y - 442. Let c be o(-37). Solve c*j - v - 10 = -17, -4*j - 4*v + 16 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3, -0.5, -5.6, -2\/389?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 60*r - 11 - 43*r - 16*r - 3*r**2 - 9*r**3 to the form m + w*r**2 + c*r**3 + g*r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512678 to the power of 1\/2, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30254343?\nAnswer: 3, 7, 541, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/8)*f)**(-8\/3)\/((f\/f**(5\/6))\/(f**(4\/11)\/f)) assuming f is positive.\nAnswer: f**(-251\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -511*b**4\/5 + 51339*b**3\/5 - 594962*b**2\/5 - 65532*b - 43848\/5 = 0?\nAnswer: -2\/7, -18\/73, 14, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in -62, 0.1, -8\/79, 0.3?\nAnswer: -8\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 2:48 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 10*b - 9. Let u be n(-7). What is the common denominator of 0 + 26\/u*-7 and 63\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(-16)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 4*d**2 + 10*d + 12. Let t = -28 - -20. What is the tens digit of i(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 203, 177, 141, 95?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81203698 to the nearest integer?\nAnswer: 9011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2430 and 131\/810?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52945 + -107007. Is (-7 + y)\/((-9)\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t - 47. Give r(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -298635.9 and -35.\nAnswer: -298670.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33425 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 33*i**2 - 105*i - 120. Give n(7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7944 divided by -4?\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62533 or 62532?\nAnswer: 62532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w. Let i(t) = -t - 56. What is i(z(l))?\nAnswer: 18*l - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**4\/5 - 142*f**3\/5 + 92*f**2\/5.\nAnswer: 2*f**2*(f - 23)*(3*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {b: 2, l: 9, n: 8}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n + 9. Let d(k) = -3*k - 4. Let c(x) = -9*d(x) - 4*g(x). Let p be c(8). Does 14 divide ((-2)\/(-4))\/(2\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + (-1049)\/(-4) + -1. Let t = 371 - w. Suppose 0 = -17*k + 22*k - t. What is the greatest common divisor of k and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {a: 2, p: 1, w: 5, k: 1, q: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -99?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-70) - (40\/15 + -2)*1248\/(-896)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = 4. Suppose f*c + 2*w - 16 = 0, 4 = -3*w - 2. Calculate the remainder when 58 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3734180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 85393090\nAnswer: 3\/85393090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3977*x**3 + 205323*x - 205323*x.\nAnswer: -3977*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 8:10 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.4, -1426, 3\/14, -0.5.\nAnswer: -1426, -0.5, -0.4, 3\/14, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21224 - -11?\nAnswer: -21213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1164\/8)\/(7\/(-14)). Let m = d - -587. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7795.062 months in millennia?\nAnswer: 0.6495885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -797 (c) -2\/9 (d) 0.05 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2790 = 73*o + 40*o + 1504 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 28 = 5*m. Let w(q) = 6*q**2 + q - 1. Let s be w(-2). Calculate the highest common divisor of m and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-7))\/((-1)\/7). Let w = -7 + 11. Find the second derivative of i + z*i**5 + i - w*i wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (17 + 2420\/(-135) - (11 - 4)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + 2. Let y(o) = 27942*o. Determine f(y(d)).\nAnswer: -2342266092*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8111790 or -56782521\/7?\nAnswer: -56782521\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510222*s + 510225*s = 5*z - 3*z + 3*z, s + 5*z = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1206.6*-0.04545\nAnswer: -54.83997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 111 + 1. Let t be (2\/6)\/(2\/18). Suppose -2*u + 24 = -r, 5*u - t*u - 32 = 5*r. Calculate the greatest common factor of u and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -2478.75.\nAnswer: -2479.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 475 - 479. What is the closest to 2 in l, -21, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by -2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8003512.900078 - 8003445.9. Let r = 67 - h. Round r to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63 + 231 - 250071*n**2 + 247402*n**2 wrt n.\nAnswer: -5338*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*h - 11. Suppose -70 = -h*v + 35. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -z - 20, 60 = 285*t - 281*t + 3*z. Calculate the least common multiple of t and 111.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-5 - sqrt(4032)*-2)*1.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) -0.058 (c) -0.1 (d) 2\/357 (e) 0.3 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3*-3*sqrt(363))*1)**2.\nAnswer: -990*sqrt(3) + 29428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1.99?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*d - 110, -2*o + 3*o + 24 = d. Let t = d - 28. Let x(p) = -p**2 + p + 3. Let l be x(t). Sort -5, l, 2, -0.1 in increasing order.\nAnswer: -5, l, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a day in hours?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134373 bigger than 134372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -151788308 divided by 14?\nAnswer: -10842022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(847) + sqrt(847) + 1 + 1.\nAnswer: 2 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/121 and 91\/3586.\nAnswer: 39446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.18.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30183749.\nAnswer: 37, 41, 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.01 (b) -5\/92 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2999293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.067378751 or 0?\nAnswer: 0.067378751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-418)\/88*(-10)\/(-95)*(-1)\/(-5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 42*o + 966. Let s be x(-23). Let u(q) = -q + 2. Let t be u(3). Which is the second biggest value? (a) t (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 - 112*s**2 - 394*s + 2418. Calculate q(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/388600 and -53\/13018100.\nAnswer: 26036200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 8) in base 3?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 277 divided by 2\nAnswer: 277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = c + c. Let x(z) = -2*z - 2. Let u be x(-5). Solve g + 13 = -c*v + 4*g, 5*v + u = g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/37, 0.1?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -18, -2, 5 in descending order.\nAnswer: 7, 5, 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*c - 42 = c, 5*s + 4*c + 210 = 0. Let t = s + 65. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-18.5\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83158287.\nAnswer: 3, 27719429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23609685, 47219374, 70829067, 94438764, 118048465, 141658170?\nAnswer: 165267879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least 20.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 2536272.\nAnswer: 27898992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 78 = -4*d, -4573 + 4624 = o - 3*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/1417 - -3247\/585221. Let j = 4055\/3304 + z. What is the common denominator of -1\/8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75011912 divided by 2\nAnswer: 37505956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - 323*p - 4700. Is l(-15) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85613)\/(-7783))\/((-1)\/(-8))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 g, and 1 e when four letters picked without replacement from igebiggimmgggbiii?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20736 and 60192?\nAnswer: 4333824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 8*q**2 - 5*q - 14. Let n be p(7). Suppose g + y - 26 = n, 0*g - g = 4*y - 26. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.41 and 13.35.\nAnswer: 18.8235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, x: 9, a: 1}. What is prob of sequence xax?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 436430000 to the nearest 1000000.\nAnswer: 436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:47 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**7\/2520 - f**6\/120 + f**5\/20 + 5*f**4\/4 - 5*f**3\/6 - 140*f. Let z(g) be the third derivative of a(g). Determine z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556956 less than 17377?\nAnswer: -539579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 1755072.\nAnswer: 1755072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x + 3. Let u(g) = g**2 - g + 1. Let v = 44150 - 44154. Determine v*u(q) + r(q).\nAnswer: -3*q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1) + (-6)\/3. Let x(o) = 4*o**2 - o. Let c be x(m). Solve 0 = -g + 4*r + c, -5*r = 4*g - 13 - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 9*a = -354. Calculate the common denominator of 8\/24*a\/(-86) and 67\/8.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from eesseeeeese?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 + 40*m**3 - 96*m**2 - 40*m + 100 = 0?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 + 8*o**2 + 6*o + 64. Let s be q(7). Round s to the nearest 10.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -19*k + 66. What is the remainder when 40 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2 - 17*a**3 + 11*a**3 + 2*a**2 wrt a?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v - 3)*(-35*v**2 + 376*v**2 + 811*v**2) - 2*v**3 + 5*v**3 - 4*v**3.\nAnswer: 1151*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:46 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 1 + 3*t - 4*t**3. Let a(b) = -3*b + 2. Let y be a(1). Give u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210115 times -3\nAnswer: 630345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1577 divided by 222.\nAnswer: 1577\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 8*p**2 - 6*p**3 + 4*p**3 + 11*p**2 to h*p + z*p**3 + c*p**2 + q + f*p**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.85 - -11.85. Let g be ((-49)\/(-28))\/((-2)\/(-8)). Which is the third smallest value? (a) -1\/2 (b) g (c) t (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/240 - 1719803\/12820?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -10. Let f be 2 + 1 - (12 + -12). Let r be 1*f*2\/x. Is r at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 2*q + 15 + 17 = 0, -2*x - 4 = -2*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(720) - (1*sqrt(720)*5 - sqrt(720)) - sqrt(720) - (sqrt(720) + sqrt(720) + 0)*4))**2.\nAnswer: -288*sqrt(5) + 103681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1817024 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-512)\/(-80) - -1 - -15)\/((-2)\/60).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 60. Let u be (-8)\/204*(-5673)\/(-70). Let x = 3\/85 + u. Is x bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0 + 0*f**6 + 2*f**2 - 1\/70*f**7 + 0*f**5 + 0*f + 1\/2*f**3 + 0*f**4. Differentiate v(u) wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caqacaccua. Give prob of sequence ucaq.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 14*a**5\/9 - 1108*a**4\/9 + 136*a**3 + 208*a**2 = 0?\nAnswer: -6\/7, 0, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 234\/(-52)*(8\/(-6) + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = 4*q. Let d be 81\/9 - (q - -1). Let j be (1\/(-10))\/(4\/d). Which is the closest to 1? (a) 4 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -175?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/5*(-24)\/(-1104)\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/801 and 149\/2040.\nAnswer: 544680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -49*s - 3. Let x be a(4). Let d = -145 - x. Calculate the smallest common multiple of d and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 576560.1 years?\nAnswer: 6918721.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249*f - 50432 = -1533*f - 160249 - 40411 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -2105531544?\nAnswer: 2105531534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 4, t: 1, j: 3, y: 1}. What is prob of sequence yxt?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390701259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -588*d**6 + 11*d**2 - 3*d wrt d.\nAnswer: -70560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261342659*o**2 - 736553*o + 211 wrt o.\nAnswer: 522685318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227, -818, -1779, -3110, -4811?\nAnswer: -6882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254317051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-1)*l))*l*l**(-3\/4))\/(l\/(l\/(l*l\/(l*(l\/(l**4*l))\/l)*l)*l)*(l*l**(2\/3)*l)\/l))**(-14) assuming l is positive.\nAnswer: l**(623\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 518514.455 to the nearest 10.\nAnswer: 518510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133.74956 * 50.\nAnswer: -6687.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 950 + -853. List the prime factors of l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2699701 or 2699742?\nAnswer: 2699701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 19. Let q(o) = 4*o**2 + 13*o - 10. Let g be q(-9). Let n = -191 + g. What is the least common multiple of n and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 25*d**3 + 17677*d**2 - 14153*d + 2832. Let b(u) = 25*u**3 + 17678*u**2 - 14154*u + 2832. Let c(k) = 9*b(k) - 6*l(k). Factor c(t).\nAnswer: 3*(t + 708)*(5*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21540 is divided by 1954?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 z, and 1 y when four letters picked without replacement from yvvnpzzzzllzlzzvzz?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeeeaaaaae. Give prob of picking 1 a and 2 e.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930877633.\nAnswer: 7, 59, 2253941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -858 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9405256 = -74*q + 130*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3) + -2)*27\/(-18). Suppose 2*x = -3*b + 15, -3*b + 5 = -c*x - 2*b. Solve x*i - 2*i = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/1 - 7848\/1635*30\/(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*d = 20, 5 = 2*f - 3*f - d. Solve f = -27*c + 23*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -4*x - 17*i, -14*x + 342*i + 37 = 341*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 1006\/5. Let o = 2.6 + -3. Let q = o - -0.8. What is the second biggest value in 1\/5, f, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 1, y: 4, m: 4, o: 1, r: 2}. Give prob of sequence yrok.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 12:35 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r**3 - 16*r**2 + 26*r**2 - 10*r**2.\nAnswer: -49*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (31 - (33 + -19) - 18) + -51.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*v**4 - 68*v**3 - v + 6449.\nAnswer: -40*v**3 - 204*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 8*i**2 + i + 10. Let c be k(-8). Suppose -3*l = c*l - 15, -5*l + 3 = 4*a. What is the units digit of 1\/a - 21\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 0*m - m)*(53 - 147 + 74) to o*m + q and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.007 + -58. Let t = p + -1.007. Which is the nearest to t? (a) 0.1 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157673, 157163, 156313, 155123?\nAnswer: 153593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c - 1528 = 0. Let a = c - -547. Calculate the remainder when a is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)*1*0. Suppose 4*f - 24*r - 351 = -27*r, 3*r + 9 = 0. Let c be ((-15)\/f)\/(6\/8). What is the nearest to 0.2 in p, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14.96 (b) -1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 903 = -1017. Let o = -76 + m. Which is the second biggest value? (a) 11 (b) o (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**2. Let b(c) = -17*c - 83*c - 8*c - 130*c - 76*c. Determine v(b(q)).\nAnswer: 1084556*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-141)\/(-8) - 9\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 7*m - 8. Let n be z(8). Solve 3*p - 2*y - 2 = 0, n = 3*p - 0*p - 3*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57338795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {n: 1, s: 5, a: 2, i: 3, l: 1, h: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.205887 to 2 dps.\nAnswer: 3.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -22633?\nAnswer: -22630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1. Let g be q\/(-8) - 11\/(-4). Is 16 a factor of g\/(-9) + 49\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*n + 15, -8 - 2 = 2*n - 5*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 16. Let g(a) = 7*a + 46. Let k(q) = 4*g(q) - 11*h(q). Let d(y) = -17*y - 23. Calculate 4*d(b) + 11*k(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 750*k**3 - 2*k**2 - 289.\nAnswer: 4500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*h**2\/7 - 108*h\/7 + 92\/7 = 0. What is h?\nAnswer: 1, 23\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 1:33 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/(3\/(-15)*6*-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*a = -34*a - 1856 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*15\/((-1080)\/(-126))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59705 and 11941?\nAnswer: 59705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47954655 = -83*u + 126793130. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*i + 7. Let r(a) = -7 + 2*a - 7*a - 6*a + 4*a. Let v(f) = 4*f + 4. Calculate i*r(q) + 5*v(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + o + 7184 = 16*d, -5*o + 21488 = 3*d. Does 184 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 - -1.4. What is the third biggest value in 0, y, 0.1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h**2 + 16*h**2 - 7*h + 4*h**2 + 6*h - 12*h to b*h + s + x*h**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 - 7*q + 2. Let a be z(-5). Is 8 a factor of 108\/((-1)\/((-8)\/a))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9)*(-5 - -8). Is 438 - 12\/(-4 - r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/35 - 35562\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*3)\/(3\/(-2)). Let j(l) = 10 + 5*l**2 - r*l**2 + 3*l + 3*l - 5*l. What is the units digit of j(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b967 + -22?\nAnswer: b945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 19. Solve n - u = 6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.62 + -31.42. Which is the nearest to 2? (a) -3 (b) 0 (c) 1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)\/g*g**(8\/7))**(-3\/2)*(g**1)**18\/((g*g\/(g**(-5)*g)*g)\/g*g*g*g**(-4)) assuming g is positive.\nAnswer: g**(151\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126077 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: Let r(j) = -j - 16. Let p be r(-16). Let a = 30 - 87. Let c = a - -223\/4. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}