diff --git "a/data/dm_maths/full_data_1/1625_11255.jsonl" "b/data/dm_maths/full_data_1/1625_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1625_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q be 0 - 0 - (-3 - 2). Let b(s) = -2*s**2 - 1 + 3*s**2 + 2 - 5*s + 0*s**2. Let r be b(q). Solve -2 - r = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4991 and 594673?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 2\/15 (c) 4 (d) 0.07 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/(-6))\/((-2)\/(-240)). Suppose 88*p + 111*p - 7960 = 0. What is the greatest common factor of j and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/2*(-168)\/(-16)*-10*31\/930.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3683195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 145760, 145758, 145756, 145754?\n\"Answer: -2*w + 145762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106213529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 + 3. Suppose 11*d - 288 = 64. Suppose d = -4*u + 28. Sort 3\/5, -0.4, g, u in increasing order.\nAnswer: u, g, -0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 14*h + 3. Let u be 2 + (6*-4 - 0). Let f be (u\/(-4))\/((-3)\/(-6)). Let v = f + -16. Let b(d) = 2*d**2 - 9*d - 2. Calculate v*s(x) - 8*b(x).\nAnswer: -x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by -273\nAnswer: 179\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-377)\/(-29))*4\/(-16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 2. Let l be s(-1). Suppose 5*w - 432 = -2*q - 2*q, 12 = -l*w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f + 8. Let y be i(-6). Suppose c + 3*h - 5 = 0, y*c + 1 = 5*h - 11. Sort c, 3, 1 in increasing order.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**2 + 2*r - 17. Let s be c(2). What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 18. Calculate the smallest common multiple of 7 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.43 (b) -2 (c) -1\/2 (d) -1829 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 21*m + 10 = 0, m = 2*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5020481877 less than 62781?\nAnswer: 5020544658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1075 + -1079. Suppose -2*n - 2 = -l - 0, -3*l - n + 13 = 0. Sort -1\/7, l, -0.3, y in decreasing order.\nAnswer: l, -1\/7, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 357625274755*l**4 - 10692487406545*l**3 - 12066164242020*l**2 - 4465373004720*l - 548638902720.\nAnswer: 5*(l - 31)*(4151*l + 1524)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 1242*b**2 - 8671*b - 20. Give y(7).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1 - (-4 + 2)). Is p*(-1 - (-105)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9870 divided by 1\nAnswer: 9870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -960, -1047, -1214, -1467, -1812?\n\"Answer: -r**3 - 34*r**2 + 22*r - 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10293, -80305, -196991, -360351, -570385, -827093?\n\"Answer: -23337*m**2 - m + 13045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*f + 170, 106 = 2*x - 5*x - 2*f. Let b = 40 + x. What is the greatest common factor of b and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164 + -196 + 0 + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -a - 7 - 0, 12 = 4*c. Let f be (2\/a)\/(2\/(-348)*3). Let i = 29 + f. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58117407?\nAnswer: 3, 17, 1139557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 5*q + 22. 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: Suppose 0*w - 4*w = 328. Suppose 0 = 3*o - 1025 + 332. Let d = o + w. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/60 + ((-8)\/(-20) - (-44)\/55). Factor 4\/3*l**3 + u + 8\/3*l + 1\/6*l**4 + 3*l**2.\nAnswer: (l + 1)**3*(l + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 70 = -o + 27, -32 = -43778*o + 43781*o + r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 15 = 51. Suppose -h*o - 18 = -0*o. Let k(m) = 893*m**2 - 1. Is k(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4246618 and -165501506.\nAnswer: -169748124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i. Let q(z) = z - 1. Give -2*q(c) - v(c).\nAnswer: -12*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23.221 from 610393.468.\nAnswer: 610416.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12.55 (b) -0.2 (c) 0.04 (d) -3 (e) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 13*f**9\/504 - f**8\/112 + f**5\/30 + 65*f**3\/3 - 131*f**2. What is the third derivative of t(a) wrt a?\nAnswer: 1560*a**3 - 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -11. Let c be (-1)\/(-2)*8\/(-1). Let h = c - -6. Put -2, h, m in descending order.\nAnswer: h, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 8*v = 3*v - 11, -5*n - 7 = v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 966, 27, 5, 11, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 0 - (2 + -6)) + (-30 - (118 - 164)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/10))**38 assuming a is positive.\nAnswer: a**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let t = -1151 - -1173. What is the derivative of b + 6 - t*o**2 - 39 + 8 wrt o?\nAnswer: -44*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/112 and 75\/4732?\nAnswer: 18928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6246*w + 3087*w + 2987*w.\nAnswer: -172*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7741.\nAnswer: 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) 1 (d) -214\/5 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386373, 386354, 386335?\nAnswer: 386316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 3401*l - 27476. Determine t(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + (2*(0 + sqrt(847)))**2 - (-3 + sqrt(847)*1 + -1))*-4 + 5.\nAnswer: -13553 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-9))\/(8\/(-30)) - 2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)\/(u**(2\/15)*u))\/(u\/(u\/u**(1\/3)*u))**20 assuming u is positive.\nAnswer: u**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 269 = 2*j + j, -5*p = -j + 63. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -19*f**5\/120 + 17*f**3\/3 + 18. Let i(u) be the third derivative of z(u). Let v(y) = -2*y. Calculate i(v(t)).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/28*(-8)\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285192.54 rounded to the nearest 1000?\nAnswer: 1285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409824?\nAnswer: 2, 75307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-2)\/(-18)). Let i = -1568.1 + 1562.1. Sort z, i, 0.2, -0.2 in decreasing order.\nAnswer: z, 0.2, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*q - 3*q + 5 = 0, 4*n + 2*q = 38. Calculate the lowest common multiple of n and (7\/(-2))\/(2\/(-4)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3034 + -3027. Let k(j) = 11*j - 78. Determine k(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, l: 2, k: 1}. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2\/28*(-80)\/20) + 120.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 281. Let t be 1 + f*6\/(-4). Let h = -102 + t. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40*((-4654)\/(-130) + -37)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a**2 + 123*a - 252*a + 132*a to r*a**2 + c*a + v and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -559851*r + 2. Let l(h) = -6*h. What is n(l(y))?\nAnswer: 3359106*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6)\/((-120)\/35)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 35 in descending order.\nAnswer: 35, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -212.2 (b) -0.14 (c) -2\/17 (d) 5 (e) 0.4 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 5*y + 12. Let p be c(2). Let g be (28\/p + 2)\/(143\/55). Let n = -69 + 72. What is the biggest value in g, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 2. Let i = 7 + 168. Let a = i - 177. Calculate n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/6138*-2*6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1574 and 27\/8.\nAnswer: 6296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/12)\/1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1) - (-1)\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**7\/420 + v**6\/120 - v**4\/24 + v**3\/12 + 2*v**2 + 2*v. Let o(y) be the first derivative of x(y). Factor o(m).\nAnswer: -(m - 1)**3*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*g = 35, -5*k = 4*g - 41 + 72 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2634 times -0.07451?\nAnswer: 196.25934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from mzhcccmmmzmmmwmmmccc.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 8*n + 3. Let x(a) = 0*a**2 + 4 + 3*a + a**2 - 5*a**2 - 5*a**3 - 5. Let t be x(1). What is y(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 27. Suppose 3*r - k - 144 = 0, 0 = -2*r + 2*k + 47 + 53. What is the remainder when r is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) - 108\/(-70). Let o = p + -170\/161. Let b = 14 - 10. Sort b, 0.4, o in descending order.\nAnswer: b, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715702.\nAnswer: 2, 13, 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-29 - -2 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-3)\/(15\/10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698*c**2 + 2092*c**2 - 649*c**2 - 711*c**2.\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1517952 and 2010.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -23. Suppose 2*g + 2*h - 12 = l, 5*h + 15 = g + 3*h. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*k**3 + 213*k**3 + 210*k**3 - 1086*k**3 + 235*k**3 + 212*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2617 + -1a3?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, e: 2}. Give prob of sequence ek.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*v + 2*v**2 - 4 + 9 - 5 to the form d + j*v**2 + z*v and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4147 and 98428?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4 - 28*q**2 + 2*q + 55 wrt q?\nAnswer: 24*q**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 2, -3, -3906, 0.\nAnswer: -3906, -9, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12018 divided by -6\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 0.1 (c) -2\/11 (d) -2\/213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -122. Let x(h) be the second derivative of -6*h**2 - 18*h**y + 0 - 189\/10*h**5 - 109\/4*h**4 - 4*h - 49\/10*h**6. Suppose x(z) = 0. Calculate z.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2652 and 6708.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -19, -0.1, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0*a)**(-24)\/(a\/(a**(-2\/7)*a))**47)\/((a**6\/a**(1\/5))\/((a\/(a**(-5)\/a*a))\/(a*a\/(a\/((a**4\/a)\/a))))) assuming a is positive.\nAnswer: a**(-2248\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -40, -4, 0, 39.\nAnswer: -40, -4, 0, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 76378.798.\nAnswer: 76391.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 5.4047?\nAnswer: 16.2141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51266, -102526, -153786, -205046, -256306?\n\"Answer: -51260*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2 - -4) + (-20 - (22 + -37))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 302492 and 376?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + m + 1. Let l(r) = -r - 1 + r - r**2. Let j = 16 - 17. Let d(v) = j*w(v) - l(v). What is the second derivative of d(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 448750, 1794939, 4038588, 7179697, 11218266, 16154295?\n\"Answer: 448730*k**2 - k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, k: 2, m: 3}. What is prob of picking 1 k and 2 m?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 60 = -13*c, 0*c + 5*c + 2*d = -28. Let p(i) = 2*i. Let z be p(1). Sort c, -3\/7, z in descending order.\nAnswer: z, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 2*s, 0 + 16 = -4*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -6 (c) 1\/3 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1826189*t + 1826290*t - 101 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxxxxxccccrccxrccc. What is prob of sequence xxx?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjjruqqseseerrr. Give prob of picking 1 j and 1 e.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1342, -2683, -4024, -5365, -6706?\n\"Answer: -1341*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*u - 369 + 346, 63*u - 12*g = 279 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6) - 2984\/(-16). Solve -k*c + 182*c + 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*t - 68 = 4, -19 = -b - 4*t. Let v(l) = l**2 - 10*l + 9. Let c be v(b). What is the highest common factor of c and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -0.1 (c) -0.16 (d) 1242\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 193*s**4 + 142*s**2 + 5*s + 10. Let a(j) = j**4 + j**2 - j - 2. Let v(f) = 5*a(f) + b(f). Find the third derivative of v(i) wrt i.\nAnswer: 4752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/2 + k**3 + 7*k**2\/2 - 10*k + 6 = 0. Calculate k.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16568 is divided by 84?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -14*g + 9*g - 3, 2*a + 2 = 2*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 j when three letters picked without replacement from eejjujljj?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 + (12 + -11 + -7 - (-8 + 13)) - 1.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 2\/15 (b) 3\/4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, w: 4, g: 1, a: 10}. What is prob of picking 1 w and 2 a?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8656452 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -262. Suppose 6*t + 0*t = t. Suppose t = 8*y - 99 - 117. What is the greatest common divisor of y and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19527 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3*s*s*s)\/s**(-7)*s**(-2\/45)*s\/(s*s**(-8)) assuming s is positive.\nAnswer: s**(988\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*m**4*w - 282*m**3*w - 196*m**2*w + 8158*m*w + 30*m - 8 wrt m.\nAnswer: -720*m**2*w - 1692*m*w - 392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/9 - 52469*v**2\/9 + 3040679*v\/9 - 44077651\/9.\nAnswer: (v - 52411)*(v - 29)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -1160\/3?\nAnswer: -1160\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(10 - 6) + 5 + (-54 - 23)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2097*d**2*q + 3*d**2 + 2*d*q - 879*d + 2*q - 2 wrt q.\nAnswer: -2097*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**3\/9 - 26*r**2\/9 - 22*r\/9 - 2\/3.\nAnswer: -2*(r + 1)**2*(5*r + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -411\/10. Which is the smallest value? (a) i (b) 2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-109)\/18 + -18)*78\/572\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 20 + 20. Suppose -m + w = -4*s + 3, s = 5*m - 25. Suppose -5*g = -3*u - 85, -2*u + s*g - 50 = -5*g. Which is smaller: -36 or u?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067273 rounded to 5 decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let z(p) = -3743*p**2. Calculate z(r(q)).\nAnswer: -14972*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(1\/(-4)). Let s = -4 + 4. Let u(k) = -k**2 + s*k - k + 3*k. Calculate u(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 5*m**3 - 3*m**3 - 55*m + 43*m**2 - 41*m**2.\nAnswer: -9*m**3 + 2*m**2 - 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.2. Let i = 0.024 - 2.024. Which is the closest to r? (a) i (b) 0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 2. What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311514 is divided by 8652?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(425) + 5)**2 + sqrt(425) - ((-2*(-2 + sqrt(17) - sqrt(17)))**2 - 4*(sqrt(17) + -1 + sqrt(17)))) + -5.\nAnswer: 53*sqrt(17) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/81168 and -71\/490656.\nAnswer: 43668384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - -11 - (-7 + 14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-150)*(-2)\/8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93400883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2006 + 0?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-24)*16\/20\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 17. Let c(p) = p - 4. Determine 18*c(r) - 4*n(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h + 2. Let i be r(-1). Let f be (2\/i)\/((-1)\/158). Suppose 6*v - 341 = f. What is the remainder when v is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5073 - -5074. Let g = 1.6 + -2. Let n be (3\/(-5))\/((-21)\/15). What is the third biggest value in g, 0.3, n, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x = 119*x + 145. Let i(y) = -y**3 - 5*y**2 - y - 6. Calculate i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/52600 and 9\/40.\nAnswer: 52600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*f**3*j**5 + 1638*f**3*j**2 - 20477*f**3 + 6*j wrt j?\nAnswer: 3480*f**3*j**3 + 3276*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111011010110 (base 2) in base 3?\nAnswer: -1212011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41606 (base 7) in base 13?\nAnswer: 4883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12134135134 - 4?\nAnswer: 12134135130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2984 - -7887. What are the prime factors of i?\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 19 = h, 1215*w - 1309*w - 2*h + 458 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**6 + 76*n**5*v**2 + 2*n**2*v**2 + 5*n**2*v + 28*v**2 wrt n?\nAnswer: 120*n**3 + 4560*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49b4 (base 14) to base 3.\nAnswer: -122200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 10*m**2 - 14*m - 270. Let o be u(-11). Let t = 48 - 45. Solve t*x - o*x + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**6 - v**6 + 0*v**6 - 4*v**2 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1594 - -1606. Solve r = 2*r - 3, 5*r = -y + f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1772.\nAnswer: -1\/1772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 7. Let w be r(3). Suppose -4*z + w*f = -133 + 27, 0 = -4*z + 4*f + 112. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/45)\/(198\/825).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (548\/90 + -6)*3\/((-3)\/3). What is the biggest value in 3, -5, 2, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Let i be d*3\/9 + 2. Suppose -5*p = -3*u + 44, i*p = -u - u + 4. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + u + 126 = 4*u, -4*u = 12. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 25*n**2. Let y(s) = 12*s**2 - 6. Let u(l) = -23*l**2 + 11. Let t(z) = -6*u(z) - 11*y(z). What is d(t(w))?\nAnswer: 900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from iwiiwmoiibioiioiioie?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9180143 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 7 + 0 = 2*w, 3*c = -5*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-2))\/(-7)*-10. Which is the fourth smallest value? (a) -1\/8 (b) s (c) -2\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 3*o - 2*c, 112 = -2*o - 2*o + 4*c. Let u be o*((-1)\/6 - (-3)\/(-9)). Suppose -u*v = -13*v - 3090000. Round v to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90430 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.1 + 2.1. Let j = 8 + -3. Which is the nearest to 0.1? (a) u (b) 3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxqoqroorooqr. Give prob of sequence rrx.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(500)*-6*-5*-6*-1*6.\nAnswer: -10800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 8}. Give prob of picking 1 u and 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**3\/3 + 872188*b**2\/3 - 872182*b\/3 - 1744372\/3 = 0.\nAnswer: -1, 2, 436093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27369.01 litres in millilitres?\nAnswer: 27369010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 25*u**2 - u + 3. Let c(l) = l - 1. Let n(q) = 5*c(q) + z(q). Is n(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jupujtptjttvjutvu. Give prob of picking 2 t, 1 u, and 1 j.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4765 = -8*u + 8918 + 7215. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/29 (b) -28 (c) 0.1 (d) -1.3602\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 1. Let v = -0.72 - -1.12. What is the smallest value in v, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -317, -333, -355, -383?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-11)*(1\/(-1))\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*c**2 + 237*c**2 - 471*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, y: 1, z: 5, u: 1, j: 4, m: 3}. Give prob of sequence ej.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(85) - -6*(sqrt(85) - (sqrt(85)*2 + sqrt(85)))))\/(((sqrt(35) - sqrt(140))*3)\/sqrt(7)).\nAnswer: 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1307*i - 2614. Let t be q(-2). Solve -13*v + v - 48 = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38145, -38206, -38309, -38454, -38641, -38870?\n\"Answer: -21*l**2 + 2*l - 38126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*z + 52*z - 63*z - 90*z.\nAnswer: -236*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g + 9. Is h(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 380.3 - 380.30033946. Round b to 6 decimal places.\nAnswer: -0.000339","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18 + -36)*7\/(-21). Solve -10 = 14*o + t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5529 = -22*i + 25*i - 60*i. Which is smaller: i or -682\/7?\nAnswer: -682\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 527 + 1185. Calculate the highest common divisor of 32 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -25*z**2 - z - 6*z - 9*z**3 + 29*z**2 + 7. Let p(c) = 6*c**3 - 3*c**2 + 5*c - 5. Calculate -5*l(i) - 7*p(i).\nAnswer: 3*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -47630*o**3 - 13*o**2 - 14*o - 20. Let n be a(-8). Suppose 0 = 4*m + 55614180 + n. Round m to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 32. Let x = p + 8. Let f be x\/((-231)\/90) + (-6)\/21. Solve 0 = -f*t - 4, 4*t - 7 = -4*c + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 c, and 1 l when three letters picked without replacement from {i: 1, a: 1, q: 1, c: 1, w: 1, l: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -26*f**3 - f**2 - 3*f - 4. List the prime factors of a(-4).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 27 = 4*d. What is the remainder when 38 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(24\/(-16))\/(-1 - 2). Suppose c*n = 5*n - 7977. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {x: 2, c: 1, v: 2, h: 1, p: 8}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -22. Solve 15 = a*x + 2*v, -3*x + 5 = -3*v - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:03 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 1, 3, 2, -221\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - ((282 - 162) + -188).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 17*i**2 - 17*i + 20. Let a(w) = -6*w**2 + 6*w - 7. Let l be (4\/10)\/(-2) + (-2688)\/160. Determine l*a(u) - 6*g(u).\nAnswer: -6*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*p**2*w**2 + 4702*f*w**2 - 2*p**4 - 23*p*w**2 wrt p?\nAnswer: -4*f*p*w**2 - 8*p**3 - 23*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 418373\/19 + -22019. Which is the smallest value? (a) -0.1 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -248491698.\nAnswer: -248491698.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -146. Which is the smallest value? (a) -4 (b) 5\/6 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 3 (c) 0.717 (d) 8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1743 = -243*c + 12990 + 1062 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 211976 = -2*o, 6*a + 5*o - 254384 = 9*o. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8 + 29 - 6 - 8 + 10*u + u**2. Let s = 1 - 9. Calculate b(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**4 + 18*o**2 + 12*o - 2 wrt o?\nAnswer: 24*o**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 32195*n = -32190*n - 100, -120 = 4*k - 4*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -7*c**5\/20 + 3*c**2 - 3*c. Differentiate i(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22681 + -68042\/3. Which is the fourth smallest value? (a) w (b) 21 (c) 7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**3 + 2*h**3 + 394*h**2 - 394*h**2.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3933*i**2 + 2*i + 2. Let p(d) = 11787*d**2 - 6*d - 7. What is -2*p(q) - 7*z(q)?\nAnswer: 3957*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*g - 5 = 2*z, g - 32 = 4*z. Which is the third smallest value? (a) -0.4 (b) z (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(((x*x*((x**(-4)\/x)\/x)\/x)\/x*x)\/x)\/x)**(1\/3))**(-4)*((x*x**(2\/5))**6)**(-2\/33) assuming x is positive.\nAnswer: x**(412\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 6*r + 60, -936*u - 52*r + 48*r - 50 = -938*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 1. Let n be v\/5 - 2898\/(-45). Suppose 2*h - n + 19 = 5*y, 4*h + 5*y = 15. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -40, -70, -134, -244, -412, -650, -970?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1133 + 1135 + 13699*s + 1923*s + 6924*s.\nAnswer: 22546*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4192104990?\nAnswer: 2, 3, 5, 101, 571, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2. Let y(v) = 12220453*v**2. Determine y(r(z)).\nAnswer: 109984077*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/((-1)\/(-6)*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -36. Let w = 28 + s. Suppose -8 = w*z + 3*z. What is the second biggest value in z, -9, 4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d**(-5\/4))\/(d**(1\/2)*(d\/d**(-1))\/d) assuming d is positive.\nAnswer: d**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313.833 - 314. Let r = -2.213 - -1.036. Let k = q - r. Round k to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(17) + -5) + sqrt(17) - sqrt(17)).\nAnswer: -5*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -23939?\nAnswer: -23939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 3*z**2 + 0*z**2 + 519*z + 15 + z**3 - 9223*z.\nAnswer: z**3 - 3*z**2 - 8704*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*4\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521784?\nAnswer: 2, 3, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6\/11 (b) 0.4 (c) -3 (d) 23104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 151*b**6\/40 + b**4\/24 + 3*b**2. Let h be j(1). What is the remainder when 4\/(-18) - h\/(-18) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2 + 4 + -4)) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(2662) + sqrt(2662)*1 + sqrt(2662))\/sqrt(2).\nAnswer: 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1431708 divided by -238618.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:09 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-136)\/36 - -4) + 10\/36. What is j in r*j + 0 - 3\/2*j**3 - j**2 = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by -4492\nAnswer: -153\/4492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(1053) + 4 + 3 + sqrt(1053) + -5)*1*-3)**2.\nAnswer: 14580*sqrt(13) + 343197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3304 and 56?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2569 + -2567. Suppose -4*o - 3 = -w, 0 = -2*w - 5*o - 3 - 4. Which is the third biggest value? (a) f (b) 1 (c) w (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1054 divided by -17\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose -z*q + 12 = -3. Suppose -15 = -q*f, -3*n - 5*f = -f - 54. Solve n = 4*j - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 13349420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 11*g + 5. Let d(x) = -x + 20. Let l be d(9). Let z be u(l). Determine i so that -1\/2*i**2 + 0*i + 0 + 1\/2*i**4 + 1\/2*i**z - 1\/2*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6) + 13 - 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 5. What is p(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + i = -42, 4*t + 3*i - 26 = -0*t. Suppose -2*d + 38 = 4*m, 0 = -4*m + 3*m + 4. What is the least common multiple of d*(6 - 5\/1) and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1193941084 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 - -2.7. Let w = c - -4.1. Let h = 55433 + -55422. Sort w, h, 1\/8 in decreasing order.\nAnswer: h, w, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x**5\/5 - 1884*x**4\/5 + 48304*x**3\/5 - 47088*x**2\/5 - 204736*x + 187392\/5 = 0 for x.\nAnswer: -61, -4, 2\/11, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384*u**6 - 41291*u**5 - 8*u**2 - 5102567 wrt u.\nAnswer: -46080*u**3 - 2477460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 7*o**2 + 3*o - 25. Determine b(7).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 9. Let d be w(3). Suppose -d + 1 = -x. Suppose 0*h + a - 6 = -h, x*a = -4*h + 28. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13*f + 800 = 0. What is the first derivative of -41*m**3 - 46 - 3 + f wrt m?\nAnswer: -123*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.995 + 0.95. Let b = k + 2.045. Let t = 3.966 - -0.034. Put t, -0.4, b, -5 in descending order.\nAnswer: t, b, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-202)\/18*254412\/(-28268)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**3\/3 - 11*x**2 + 6*x. Let n be h(9). Is (554\/n)\/((-7)\/14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*-4 + sqrt(35) + sqrt(35))\/(sqrt(63)\/(sqrt(9) + 1*sqrt(9))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + -761?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {b: 6, q: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + v + 3. Let x(o) = o**3 + 2*o**2 + 6. Let g be x(-3). Give l(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(2\/7)\/v)\/v)\/(v*v**(-9)*v)*(v*(v*v\/(v\/(v**(-2\/11)*v))*v*v)\/v*v)**(-2\/39) assuming v is positive.\nAnswer: v**(18134\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 55*l - 49*l - 1, 2*l - 7 = -5*t. Put 179, t, -4 in descending order.\nAnswer: 179, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 409 - -72. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5089.889 kilometers?\nAnswer: 5089889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -250579*m*o**3 - 2*m*o + 945*m - 29427*o**3 - o - 9020 wrt m?\nAnswer: -250579*o**3 - 2*o + 945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(13\/6)*p**1*p**(-2) assuming p is positive.\nAnswer: p**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1557061*o**5 + 18092*o**2 + 6 wrt o.\nAnswer: -93423660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/13))\/h*h*h\/h**(4\/9) assuming h is positive.\nAnswer: h**(200\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4064552*i**3 - 3*i**2 + 3*i + 2 + 2032135*i**3 + 2032950*i**3)*(2*i - 2*i - 2*i) to the form b*i + w + c*i**4 + x*i**2 + h*i**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1857907, -3, 0, 3 in decreasing order.\nAnswer: 1857907, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93456 and 46728?\nAnswer: 93456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 979 - 9*t**2 + 979.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let x = 0.1 + 0.1. Let j = x - 0.1. What is the second smallest value in t, 5, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -11.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 15) to base 6\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -5*p**4\/4 - 177. Let b(w) = -11*w**3. Let m be 765\/25 + 4\/10. Let o = 18 - m. Calculate o*g(l) + 6*b(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12927 - 12925. Determine r, given that 0 + 1\/7*r**z - 1\/7*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 - 24*o**2\/13 + 54*o\/13.\nAnswer: 2*o*(o - 9)*(o - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.101, -2\/9, 107, 0.46, 5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230224 is divided by 110?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(3\/7)*j*j**(2\/7)*j)\/(j**(-2\/5))**(4\/29) assuming j is positive.\nAnswer: j**(5856\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100506 - 431271248\/4291. Is k greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3289, 34 in increasing order.\nAnswer: -3289, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*s**3 + 262455*s**2 - 499866*s - 50832 = 0. What is s?\nAnswer: -2824, -3\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 10*u. Calculate z(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 26. Calculate z(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 7*p - 4. Let k be z(6). Let q = -709.1 - -708.99. What is the third biggest value in q, k, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -85465, -170845, -256043, -340969, -425533?\n\"Answer: 15*p**3 + p**2 - 85488*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -247. Suppose 3*f - c = -a + 184, 5 = 5*a. Let q(g) = g**2 + 2*g + 7. Let s be q(7). Calculate the highest common divisor of s and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96831 and 333123?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 + 501*x**3 - 15513*x**2 - 88341*x - 72324 = 0. What is x?\nAnswer: -4, -1, 49, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:20 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 11*a - 12. What is the second derivative of -15*j**a + j**3 - 12*j**4 - j**3 + 13*j wrt j?\nAnswer: -324*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 + 518*r**3\/5 + 36642*r**2\/5 + 1016738*r\/5 + 9890612\/5.\nAnswer: 2*(r + 31)**3*(r + 166)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 1, s: 1, m: 2, a: 2, i: 1}. What is prob of sequence aac?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -341042344 (base 6) to base 5\nAnswer: -3042223000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105326 or 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 50*k**2 + 298*k + 136 = 0. Calculate k.\nAnswer: -4, -1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:39 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 32. Suppose -3*l + u = 1. Do 2 and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/((-4 - -6)*-1). Let y(d) = 2*d**3 + 4*d**2 - 3*d - 4. Does 20 divide y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f + 1. Let l = 6 + -2. Let h(t) = -3 - 8*t - 88*t**2 + 3*t + 42*t**2 + 41*t**2. Give l*y(r) + h(r).\nAnswer: -r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m - 9146 = -15*m. Let c = m - -541. Solve -2*r + 16 = 5*y + 3, -c*y - 1 = -r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m - 1. Let b(u) = -2*u**2 - 1. Let x(j) = 4*j**2 - 3*j + 6. Let y(p) = 3*b(p) + x(p). Calculate -3*v(d) - y(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 535110599 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83812433 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 + 1 - (4 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 7*w**4\/4 + 2*w**2 - 5. Find the second derivative of s(x) wrt x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1735398*j**3*u*y**3 - 3*j**3*u - j**3 + 2340*j**2*y - 30*j*y**3 + 2*y**3 - y with respect to u.\nAnswer: -1735398*j**3*y**3 - 3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/11, 11046, -4\/75, 4?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.26 + 3.36. What is the nearest to 0 in -1, c, 5, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/15*(-53 - -50). Which is greater: -20\/111 or o?\nAnswer: -20\/111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyygyyytgtgyooyo. Give prob of picking 1 t and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-3) + 22\/(-33). Let q = m - -15. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4*b. Let p(k) = -k. Let g(v) = i(v) - 4*p(v). Let l(u) be the second derivative of -2*u**4\/3 - 2*u. Determine l(g(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 12 + -33 - -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2. Let z(p) be the first derivative of 0 - 2 - 2*p**2 + 0*p**2. What is z(t(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0133 + -219.9867. Let r = -192.9 - k. Let g = -69.5 + r. Round g to zero decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, -7, 5\/3, -1\/11, 12, -1 in descending order.\nAnswer: 12, 5\/3, -1\/26, -1\/11, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33 + 4\/(-3)*36\/(-16). Find the common denominator of (-4)\/j - 505\/(-630) and -83\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 - -25. What is the units digit of h\/2*2\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12885 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1.1. Let a = p - 0.10018. What is a rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*a + 534*a + 2480*a**2 + 7 - 2 - 2 - 1 wrt a?\nAnswer: 4960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9590.\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000033 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 258 - q**3 - 762.\nAnswer: -q**3 - 928","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 416344463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1904034 divided by -5091\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*g - 205*g = 45 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + -24?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034*5.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/(117\/(-26)). Let u = -0.1 - -1.1. What is the third smallest value in u, -4, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23619106 and 49753?\nAnswer: 259810166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2*sqrt(704) - -2*(-1 + sqrt(704)) - (0 + sqrt(704) + -5 + 1))*-1 + -4 + 0)**2.\nAnswer: 480*sqrt(11) + 6436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 - y. Let c(v) = -8*v**3 - 6*v**2 + 6*v. What is c(a) + 6*i(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*z - 86*z + 29*z.\nAnswer: -160*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 3:08 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/2 - 1192*t**2 + 427450*t - 41841896 = 0?\nAnswer: 206, 1972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -v + 5573 - 41535, 971104 = 27*l - v. Does 86 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*t - 2574, -5*h - 644 = -3*t - 3845. List the prime factors of h.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Let t(n) = 187*n**2 + n - 9810. Calculate t(u(i)).\nAnswer: 748*i**2 + 2*i - 9810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 + 0 + 6). Let n(x) = x**2 - 2*x - 4. Let j be n(4). Let o(d) = 2*d**2 - 4 + j - l*d. Calculate o(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197 divided by -102\nAnswer: 197\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 194*c + 4019. What is k(19)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 88 + 9*c)*(-3*c + 2*c + 2*c)*(-1 - 4 + 3)*(14*c + 43*c - 31*c).\nAnswer: -468*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168216688?\nAnswer: 2, 43, 139, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/21*40\/2000*50?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 2\/9 (c) -0.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4376790.\nAnswer: 2, 3, 5, 11, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 212*s**3 + 166836*s**2 + 160336*s - 6288.\nAnswer: 4*(s + 1)*(s + 786)*(53*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 4:41 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2367954115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 19. Let d be (0 + i)*5\/10. What is the second derivative of -j**3 + d - 3*j - 5 - 2*j wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhmf when four letters picked without replacement from {m: 1, l: 1, h: 1, f: 5, e: 1}.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 195*r - 197*r = 70405, 3*r = 4*s - 56331. What are the prime factors of s?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h + 5. Let a(g) = -2*g. Let u(d) = d - 1. Let n be (10\/(-50))\/(1\/(-5)). Let f(k) = n*u(k) + a(k). Let r = 80 - 81. Give r*s(j) - 6*f(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2879411 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171199373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 21)*(0 - 2 + 4)*((-4*i + i**4 + 4*i)*(75 + 54 - 94) + (5*i**2 - i**2 + 0*i**2)*(2*i**2 - 2 + 2)).\nAnswer: 1548*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let i = 0.55 + -0.05. What is the third smallest value in -0.3, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -60.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6690231 and 47\/11150385.\nAnswer: 33451155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -758 + 760. Let r(o) = -g*o + 13*o - 9*o. Let v = -1 + 4. Give r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:10 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -137, 2\/13, -2\/3, 0.4, 1\/5, -2, -1\/1634?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 greater than 10102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81688494 divided by -27229498.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2. Let h(g) = -3*g**2 + 6*g. Give z(h(k)).\nAnswer: -63*k**4 + 252*k**3 - 252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u = 12. Suppose t - u = -t. Suppose 0 = t*i - 2*d - 63, -i + 17 = d + 1. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20276 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -v + 297, 3*q = q - 4. What are the prime factors of v?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3172 and 3250?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a - 5. Let t be x(14). Let i = t + 257. Let g(c) = -c**2 + 5. What is g(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 77.12. Round i to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.2 * 6407.\nAnswer: 283189.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64.9 + 65. Let q = 0.44 + -0.04. Let g = -4.9427 - 0.0573. Which is the nearest to v? (a) g (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -1\/10*u**6 + 0*u**2 + 0*u**5 + 0*u**3 - 1\/4*u**4 + 18*u + 0. Find the third derivative of q(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152687913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let x(s) be the third derivative of s**4\/8 - 5*s**3\/6 - 7*s**2. Let k(z) = 10*z - 16. Let u(d) = 5*k(d) - 16*x(d). What is u(i(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689909059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 77*p - 186. Let l be i(36). Let w(f) = 2*f**3 + 14*f**2 + f - 3. Give w(l).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.506*-2\nAnswer: -9.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2. Let l(f) be the first derivative of f**3\/3 + 3*f + 391. Give l(i(k)).\nAnswer: 16*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 42*c**4 + 122*c**4 - c - 172060 + 172058 - c**2 in the form h + f*c + s*c**2 + y*c**3 + n*c**4 and give n.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**16*u*u*u)\/(u*u*u\/(u*u*u\/(u*u**5*u*u)))*u**9*(u**23*u)\/u assuming u is positive.\nAnswer: u**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 994329, 1988532, 2982735, 3976938?\nAnswer: 4971141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 30*j = -138 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 361803 + 545485 = 3*l, 2*l - 1814592 = 4*u. Let z = u - -5453650. What is z rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836 = 80*i - 4*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 11, -0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-4*3\/(-3) + -2). Suppose -252 = -11*x - 3*x. Suppose 8*w + b - x = 0. Solve j + w = n, 0 = -4*n + j - 2 - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-25*v + 2*v - 3*v) + 7*v - 9*v + 0*v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 217997 and -0.2.\nAnswer: 217996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/1920364 and 55\/6241183.\nAnswer: 24964732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6909, -13111, -19323, -25551, -31801, -38079, -44391?\n\"Answer: -u**3 + u**2 - 6198*u - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -1.7.\nAnswer: 52.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*p + 119*p - 262 = 0. Put -2, 2, p, -3 in ascending order.\nAnswer: -3, -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + x - 6*x - 7*x**3 + 0*x to p*x**2 + u + j*x**3 + k*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077 is divided by 1016.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*a + 153, -5*a + y + 148 = -129. Let l = a - 58. Let z be 8\/5 - (l - (-16)\/10). Solve -z*u - 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 28339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6.27. Let d = 13.73 + h. Let c = 9 - d. What is the smallest value in c, 0, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*l + 319*l + 740*l + 14152 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 650243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15164396.\nAnswer: 2, 13, 193, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/20*60\/(-8) + -34*(-1965)\/(-1020).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 667, 531, 327, 49, -309, -753, -1289, -1923?\n\"Answer: -n**3 - 28*n**2 - 45*n + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*g**2 + 10*g**2 + 11*g**2 + 16*g**2 + 18*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261808 (base 12) to base 4.\nAnswer: -2120211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12220*s**4 + 25*s**3 + s + 27931194.\nAnswer: -48880*s**3 + 75*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/44)*y**(-17\/5))**(-9\/4))**(-20\/11))**(-4\/21) assuming y is positive.\nAnswer: y**(1569\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 578 + -577. Is -3 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15737*m - 298955. What is v(19)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 6*i + 3. Let m(y) = 4*y**2 - 11*y - 5. Suppose -3*f + 28 = -4*q - 6*f, -4*q - 28 = -5*f. What is q*z(v) - 4*m(v)?\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-273)\/(-14))\/(-13))\/((-7)\/14). Determine k, given that 0 + 1\/3*k**n - 4\/3*k - k**4 + 4*k**2 = 0.\nAnswer: -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*k - 23, -4*k + 4*x = -1 + 5. Solve k*m - 4*m + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(2\/(-12)). Suppose -n*i = -i - 24. What is the least common multiple of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12645.1 + -0.5?\nAnswer: -12645.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.397802 rounded to 2 dps?\nAnswer: -209.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-727)\/(-2))\/((-2)\/4). Let t = 1254 + z. Suppose 40 - 452 = -4*m - 4*g, g = 5*m - t. Calculate the highest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529286982 + 0.01113\nAnswer: 529286982.01113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01242097 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 22*w + 2. Let b be o(11). Let c(t) = 2*t**b + 68*t + 73*t - 141*t. Let s(u) = 6*u**2 - 16*u. What is c(s(j))?\nAnswer: 72*j**4 - 384*j**3 + 512*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (130\/(-65))\/(((-8)\/(-746))\/2). Let i = h + 1181. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1831010715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3*i**3 - 5. Let t(b) = -2*b. Give t(w(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 4 + 6*p**3 + 3 - 3*p**3 - p**2 in the form q + f*p**3 + c*p + k*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0)\/(-2 + 1). Suppose -w + 8 = 3*s, -5*w - 2*s = s - 16. Suppose i + v = w. Put -3\/7, 0, i in descending order.\nAnswer: i, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 85*z**3 + z**2 - 2*z + 2. Suppose 9 = 2*c + 15. Let g(v) = -84*v**3 - 2*v**2 + 2*v - 3. Let o(a) = c*g(a) - 4*m(a). What is the tens digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -200.0000203 - -200. Round x to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 31*l + 3908*l**2 + 7*l + 24*l.\nAnswer: 3905*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 2*t + 44 - 44 + 14*t + (-3*t - 4*t + 6*t)*(3 + 1 + 2) + 3*t + 3*t - 5*t as d*t + h and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let r be (((-70)\/21)\/(-5))\/((-4)\/30). What is the nearest to -0.2 in -0.4, k, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = -0*j. Let o = -15 + j. Suppose -26 = -3*w - l + 35, -o*w - 4*l = -46. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41a (base 15) to base 13.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5805 by 129.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*d - 624 = 3*d, 3*g + 5*d = 911. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (127\/140970*222)\/((-14)\/30).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -f - 0*p + 5*p, 3*p - 16 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q. What is a(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554372 is divided by 119566?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40\/30*(21\/2)\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 2*c + 2. Let a(x) = -x**2 + 3*x + 3. Let h(t) = -5*a(t) + 4*w(t). Calculate h(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -7.9?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -38. Solve s = 5*s + k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3310.76 and 1.\nAnswer: 3311.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:47 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1707600 and 3.\nAnswer: -1707597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/12 + (-17)\/(-3). Suppose -i*h + 11*v + 8 = 7*v, -2*h + 2*v + 2 = 0. Find the third derivative of 75*q**3 - h*q**5 - 48*q**2 - 75*q**3 wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 270 + -694. What are the prime factors of (h\/6)\/((-22)\/33)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/((-23)\/46)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/4*2\/(-3). Let m be -1*3\/(-6)*2. Calculate the greatest common factor of m and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/21*4\/16*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -22618070.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -7545. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 152.436663?\nAnswer: -153.436663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/540 + u**5\/135 + u**4\/27 + 11*u**3\/6 + 13*u. Let w(b) be the second derivative of x(b). What is s in w(s) = 0?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3\/5 + 5316*g**2\/5 - 1454076*g\/5 - 43183476 = 0.\nAnswer: -105, 717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 679.6 - 25077815.\nAnswer: -25077135.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (50\/6)\/(-1)*(-78)\/65\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 464970681659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159729 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/92568 and -91\/102?\nAnswer: 1573656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -171\/10, 4\/7, 0, -1\/7, 10 in decreasing order.\nAnswer: 10, 4, 4\/7, 0, -1\/7, -171\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n**5 - 12*n**4 + 10*n**3 + 22*n**2 - 4*n + 10. Let i(c) = -5*c**5 - 4*c**4 + 3*c**3 + 7*c**2 - c + 3. Let t(o) = -20*i(o) + 6*s(o). Factor t(j).\nAnswer: 4*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - (-33 - -61))*(-1)\/(-3 + 4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let i(v) = 2*v**2 + 1511293. What is i(y(a))?\nAnswer: 2*a**4 + 1511293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*f - 16558 + 16546 = 0, q + 3*f = -4 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 372583?\nAnswer: 745166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 354*k*n - 338*k wrt n.\nAnswer: 354*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/4 + n**3 + n**2\/2 + n - 1. Let q be k(3). Solve 2*m = m - q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = 0. Suppose -2*w = s - n*s + 53, -3*s - 119 = -4*w. Is (1 + -2)\/(3\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 35*h + 2910. Give p(-83).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12 = 4*q, 5*q + 68*g - 66*g = -15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**2 + 2*g + 4. Let l(j) = 7*j**2 - j - 3. Let v = -31 - -27. Let i(d) = v*z(d) - 3*l(d). Let r be i(3). Solve 0 = 3*m - 4*m + r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/4 + 7\/(-28). Suppose 0 = 4*p - 71 - 1. Let c = p - 12. What is the greatest common factor of c and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = 0, -4*w - 15 = -2*d + 1. Suppose 0 = 5*p + c - 3*c - 48, 3*c - 12 = -3*p. What is the smallest common multiple of p and (-96)\/(-9) + (-4)\/d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1703814, 1703812, 1703810, 1703808?\n\"Answer: -2*w + 1703816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43736, -174873, -393434, -699419, -1092828?\nAnswer: -1573661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6 + s - 91*s**2 + 5 - 3*s + 93*s**2. Let m = 10 - 7. Calculate the lowest common multiple of m and k(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*z**2 + 37*z**2 + 12*z**2.\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 + 2.16. Which is the third biggest value? (a) -3 (b) p (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h - 5. Suppose 2*v + 9 = 5*r - 6, -2*r + 30 = 4*v. Let x be i(r). Suppose x = 2*n + 2*n - 24. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 2*y + y)*(-56*y - 200 + 200) - 1 - 2*y**2 + 1 as u*y + h + j*y**2 and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((-91)\/(-21))*8\/(-6). Let u(s) = s + 2. Let y be u(-1). Which is the nearest to 1? (a) -0.5 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (624\/65 - 10) + (-37)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. Suppose 5*w - 5*y = 0, 0*y = -3*w - b*y + 5. Let r(d) = 38*d**2 + 0 - 43*d**2 - w + d**3 + 6*d. Determine r(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -65627, -65647, -65669, -65693, -65719?\n\"Answer: -w**2 - 17*w - 65609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 25 + 61. Is k\/42 + (-268)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 100655?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -531, -0.5, -3, 4\/7 in increasing order.\nAnswer: -531, -3, -2\/3, -0.5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -300*s + 258*s + 26712. Calculate the lowest common multiple of 20 and s.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 3*f**2 + 2*f - 1. Let o(t) = t**3 + t**2 - t - 1. Let j(z) = 2*o(z) - u(z). Let a be j(3). Sort 1, a, -4 in descending order.\nAnswer: a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5550*s + 5550*s + 2*s**4 + 1 + 14*s**3 as b*s**2 + q*s**4 + j*s + a + x*s**3 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251689605.\nAnswer: 3, 5, 16779307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/88 and 89\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859571425?\nAnswer: 5, 17, 179, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zflf. Give prob of sequence lf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 9. Let z be q(-1). Let n be (-13)\/(-2)*(3 + -1). Let u = z + n. Solve -3*f + u = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -107, -235, -423, -677?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:56 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**2 + 55*q - 110. Give l(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.0093 and -787.\nAnswer: -1581.3191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**8\/560 + o**6\/90 - o**3\/3 + 4*o**2. Let z(x) be the first derivative of t(x). Find the third derivative of z(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*19\/(-30) + 750\/45 + -15. Let t be 0 + 3 - (48\/20 + -1). Solve -a*l**3 + t - 8\/5*l**2 + 2\/5*l = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -13*j**9\/168 + 17*j**5\/20 - j**4\/12 - 23*j**2 - 1. What is the third derivative of h(w) wrt w?\nAnswer: -4680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/52 and 53\/286?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19463 is divided by 4863?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/46 - (-1224)\/207. Solve g = -3*c + 2, 3*g - 2 = l*c - 11*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa5 (base 12) in base 16?\nAnswer: -61d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1197, 966, 607, 120, -495, -1238?\nAnswer: -2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2726182523?\nAnswer: 149, 18296527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32093 times 15.7?\nAnswer: -503860.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2)*(-2)\/1. Let p be 2 + (1 - (-6 - r)). Suppose q + 4*n - 4 = 0, p*q = -n - 4 + 5. Is q greater than 1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuur when four letters picked without replacement from urruurrruuuurruu?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -17. Suppose 4*c + 4 + b = 4*i, -4*i - 11 = 5*c. Let g be (4\/c*6)\/2. Let o(x) = -x + 3. What is o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 36493924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5202 is divided by 1040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-206)\/(-6) - (-12)\/18. Suppose 5*d - 13 = 3*a, 3*a - 21 = 4*a - 5*d. Suppose f - 83 = -a*t, -f + 27 = 3*t - l. Which is bigger: t or 20?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39856515 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b0875 (base 15) to base 14.\nAnswer: -53bc06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58478519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*u + 480 = 0, 4*c = 2*c + 5*u + 207. What are the prime factors of c?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/38 - -121\/342. Suppose o + 1 = 2*o. Which is the nearest to o? (a) -4 (b) -5\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmkk when four letters picked without replacement from kkmkm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*o + 43*o + 52*o - 71*o - 12 - 73*o.\nAnswer: -2*o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -146, -344, -612, -944, -1334, -1776?\n\"Answer: p**3 - 44*p**2 + 3*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, l: 2, j: 2, v: 3, s: 4}. What is prob of picking 1 v, 1 s, and 2 j?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7 - 20)*(-20 - 4 + 4)*(6*b - 3*b + 0*b).\nAnswer: 1320*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/2 (c) -3742 (d) 1\/3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyahyaays. What is prob of sequence ha?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 5 + 5)*(x**4 - x**2 + x**2 + (-1 + x**2 + 1)*(3 - 3 - 2*x**2) + 0*x**4 - 3*x**4 + x**4 + x**4 - 3*x + 3*x).\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let m(r) = -3*r - 1. Let n(d) = 2*g(d) + m(d). Let l be n(-2). Calculate the greatest common factor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 - 304. Let p = 683 + r. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27\/10, -0.7, 2\/17, 38\/5, 5\/8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112673, -227491, -342309, -457127, -571945, -686763?\n\"Answer: -114818*n + 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -335, -2800, -9515, -22604, -44191?\n\"Answer: -354*g**3 - g**2 + 16*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 550814010 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*t = -n - 70, -100 = 2*n - 4*t. Suppose 4*k + 0*k = -184. Let i = k - n. Calculate the remainder when 96 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 98*h + 11 - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(7\/2)*o)\/o)\/((o**(-1)*o)\/o))**(6\/19) assuming o is positive.\nAnswer: o**(27\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2394*x**2 + 14*x - 34. Let g(u) = -2392*u**2 - 15*u + 58. Let t(n) = 3*f(n) + 2*g(n). What is the second derivative of t(d) wrt d?\nAnswer: 4796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.226 + 0.009. Let s = -40.965 - p. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4724 - 3356. Let w = s + -713. Suppose -5*o + 824 = 3*u, 0 = -3*o + 7*o + u - w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115 is divided by 176.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -10*g + 132. Suppose p = n + g, 4*p - 3*n + 33 = 5*p. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/6))**38*d\/(d\/d**(-5\/4)*d)*d\/(d*d**(-6)\/d))**(-43) assuming d is positive.\nAnswer: d**(-25327\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 8*y + 10. Let a be f(8). Suppose -4*b + a = -2. Suppose -5*d = 5*k + 25, 3*d + 18 = -2*k + b. Let i(p) = -p + 4. Give i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deae when four letters picked without replacement from eaaaaadaaaesd.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 6:31 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 5*m**2 - 6*m - 3 - 4*m**2 + 0*m**2 = 0. Calculate m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d892 - 2?\nAnswer: -d894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -986 * 13.86\nAnswer: -13665.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138890?\nAnswer: 2, 3, 5, 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:33 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 32335 = -241337. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(30)*2 - sqrt(30))\/sqrt(10))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - q + 5 = 0, -q + 5 = -19*a + 14*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1326 and 23\/130?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1622 + 1631. Let u(v) be the first derivative of v**4\/4 - 3*v**3 - v**2 + 7*v + 25. What is u(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6) - 1)\/(592\/48 - 2)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1182*d**2 - 7*d + 4. Let n(b) = -3*b**2 + b - 1. Give f(m) + 5*n(m).\nAnswer: -1197*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 15. Suppose -4*r = -u*r + 212. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -3\/70*n**7 + 0*n**4 - 5*n**2 + 1\/60*n**5 + 0 + 0*n + 0*n**3 + 0*n**6. What is the third derivative of l(c) wrt c?\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58257583?\nAnswer: 58257583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 22?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 55, 86, 117?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/53 (b) 0 (c) 22 (d) 20 (e) -1768 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1\/84635349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1449\/55 - 296641\/11220. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197051 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-12 + 1 - ((-19 - -49) + -47 - 2))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) 14\/5 (c) 0.1 (d) -1580.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3628020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*x**5 - 78420*x**4 - 195906*x**3 - 19527*x**2 + 205722*x + 88155 = 0. Calculate x.\nAnswer: -3265, -3\/2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3740 - 954. What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12780000 to the nearest 100000.\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 70870.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 1*6*(1 + sqrt(891) + -2 - sqrt(891))**2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2\/6 - 7*j\/6 - 11 = 0.\nAnswer: -3, 22\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -278\/3?\nAnswer: -278\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 7 = 90 + 135 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 19 + 324*g - 10 - 7 - 3. Let u(n) = -2*n. Determine u(r(j)).\nAnswer: -648*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 3*r - 7. Let w be v(-5). Let p(j) = 180*j - 28. Let n(i) = 20*i - 3. Let m(z) = w*n(z) - 3*p(z). Let q(b) = b**2. Determine m(q(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5. Suppose -5*t - 341 + 61 = x. Let b = t + 78. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 + 465?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.2 - -51. Let a = z - -9.7. Sort 13, a, 2\/3, -3 in increasing order.\nAnswer: -3, a, 2\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69.96423 years?\nAnswer: 839.57076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -33156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(304) + -1 - (-2 + -1 + sqrt(304))) + 1 + 0 + 4*sqrt(304) + (sqrt(304) + 1)*-4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 2*v. Suppose 0*t - 3*t + 9 = 0. Suppose w + t*i = 13, 4*i = 13 + 7. Let n(p) = p. Let y be 44\/12 + (-2)\/(-6). Calculate w*z(r) + y*n(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28895950*n**4 + 588*n**2 + 13179 wrt n?\nAnswer: -693502800*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1723665, 1723655, 1723641, 1723623, 1723601, 1723575, 1723545?\n\"Answer: -2*k**2 - 4*k + 1723671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1 - -3))\/2. Suppose -5*i + 2*i + 5*c - 21 = d, 4*i + 33 = 5*c. Calculate the remainder when (i\/(-1))\/((-4)\/(-2)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155638384 and 19454798?\nAnswer: 155638384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/13)\/c**(-15)*(c\/c**(-9)*c)\/(c*c\/(c\/c**(5\/11))))**29 assuming c is positive.\nAnswer: c**(99876\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-20) + 2\/(-5). Let h = -2326\/15 - -2338\/15. What is the smallest value in z, h, 0.4, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 27*h**2 + 83*h - 1. Let j be i(-5). Suppose -4*v + 15 = -3*d - 18, 3*v + d - 28 = 0. What is the highest common factor of v and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 15, 3*s + s + 20 = 4*l. Suppose p = l*y - 3*p + 48, -p = -4. Does 10 divide (45\/(-12))\/(6\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 8*z - 9. Let j be i(11). Let b = j + -33. Which is smaller: -29\/3 or b?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79410928 minus 0.43?\nAnswer: 79410927.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2384 is divided by 240?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxxm when four letters picked without replacement from {m: 1, l: 4, x: 2, k: 7, q: 3, z: 1}.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*d - 157 + 157)*(0 - 1 + 0)*(-2 - 1 + 4).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 15*a + 95 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*p**2 - 430*p**2 - 72*p**2 + 117*p**2 + 128*p**2 + 121*p**2 + 3.\nAnswer: -11*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, -0.3, 13, -2\/7, -28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.8 + -7.7. What is the fourth biggest value in -0.3, -6, 4, r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*c)*(4*c + c - c)*(209*c - 194*c - 21 + 2) as u + w*c**3 + z*c**2 + m*c and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31247759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uidndnnn. What is prob of picking 1 i, 1 d, and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 3*l**2 - 17 + 17.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*z**4 - 3955*z**3 + 953454?\nAnswer: -40*z**3 - 11865*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -30*x. Suppose 30*l - 25*l - 35 = 0. Let w(o) = l*o - 2*o - o - 2*o. What is w(i(p))?\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2 + 23*b**3 + 41 + 32*b**3.\nAnswer: 55*b**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert c71 (base 14) to base 8.\nAnswer: 4623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 6*y - 12. Let p(a) = 5*a + 22*a**2 - 4*a + 1 - 18*a**y. Let z be p(-1). Solve 13 = -d - z*r, -r = 4*d - 4*r - 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let v(m) = m**2 + 1020 + 1014 + 8*m - 2035. Give 5*j(i) - v(i).\nAnswer: -i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 12*q - 6*q - 3 + 3 + q + (3*q - q - q)*(-5 + 3 - 1) + (3*q - 6*q + q)*(3 + 0 - 5) to the form f + j*q and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 16 (b) 3\/2 (c) 0.1 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4400 + (-22)\/((-22)\/(-11))?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (173\/(-346))\/((6\/(-20))\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008069374267 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 28*c**2. Let w(g) = -234*g**2 - 2. Calculate w(d(o)).\nAnswer: -183456*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.9107 minus -0.4?\nAnswer: 231.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**2 - 1. Let w(t) = -28*t**2 - 3. Let o(l) = 5*q(l) - 2*w(l). Let a be o(-1). Do -14 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 65196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 50946150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -0.0934 (c) 8 (d) 0.019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -f, -f - 6 = f - 4*t. Let a(k) = 3 + 3 - k**2 - 2 - 4*k. Determine a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -227 - -267. What is the smallest common multiple of i and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -9 (b) -0.09 (c) 0.5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1637, 1626, 1607, 1580, 1545, 1502, 1451?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/158, 36 in ascending order.\nAnswer: -1\/158, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241220022 (base 5) to base 13.\nAnswer: -3014a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 21*k + 28. Determine z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + 1 + sqrt(112))**2 + sqrt(112) + 0 + -3 + -5 + -5.\nAnswer: 4*sqrt(7) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 3*c**2 - 11*c. Let q(m) = -2*m**2 - 10*m. Let v(l) = -2*a(l) + 3*q(l). Find the second derivative of v(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9804175.\nAnswer: 5, 29, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 31 - 76 - 6*v + 5*v + 36 + 39.\nAnswer: -v + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -20. Let g = 3 + 1. What is the biggest value in g, k, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15826 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 28, 117, 0.\nAnswer: -4, 0, 1, 28, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v**2. Let k(o) = 33*o - 102. Let b(l) = 2*l - 21. Let m(n) = 5*b(n) - k(n). Determine s(m(x)).\nAnswer: 4761*x**2 + 1242*x + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1342 + -780. Let a = -247 + m. Calculate the lowest common multiple of 9 and (-6)\/10 + a\/25.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34726*r**2 + 0*r + 2*r - 33032*r**2 + 1 as k + s*r**2 + b*r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*-5*(2*sqrt(2299)*-6 - (sqrt(2299) - (2*(sqrt(2299) + -2) - sqrt(2299)))))**2.\nAnswer: 26400*sqrt(19) + 8276800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1248387, -1248386, -1248385, -1248384, -1248383?\n\"Answer: j - 1248388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13304 (base 7) in base 12?\nAnswer: 20a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -3 (c) -11438 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -6, 8, 28, 54?\n\"Answer: 3*q**2 - q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*z + 3*u + 2, -3*u + 6 = 3*z. Find the second derivative of -v - z*v**4 + v + 3*v**4 + v wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332129?\nAnswer: 7, 17, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - m**2 + m**2 + (m - 2*m + 3*m)*(2*m - 3*m - 2*m))*(3 - 6*m - 3).\nAnswer: 54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 59?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 7 + 4. What is the lowest common multiple of 9 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let f(a) be the first derivative of -7*a**2 + 3. Give l(f(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 4*i. Let x(w) = 5*w - 17. What is the lowest common multiple of x(7) and i\/(-3)*-2 - -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2*1\/(207\/3).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 24 + 28. Let j(n) = 9*n - 92. List the prime factors of j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2330 (base 4) to base 14\nAnswer: -d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 14) to base 15\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3384405, 6768804, 10153201, 13537596, 16921989, 20306380, 23690769?\nAnswer: 27075156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0368 + -13.086.\nAnswer: -13.0492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 2, -56, -6, -3, 81, 0 in decreasing order.\nAnswer: 81, 65, 2, 0, -3, -6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8429, -8413, -8397, -8381, -8365?\n\"Answer: 16*f - 8445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(6 + (-360)\/63) + (-10)\/(-35)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1316755.88 to the nearest 10000.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 5, -4376 in decreasing order.\nAnswer: 9, 5, 2, -4376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k**2 - 3*k + 3. Let o be l(-3). Suppose -3*w + p = 6*p - 35, 0 = -o*w + 3*p + 27. Solve -4*c = -2 + w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:05 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 - d - 1. Let p(r) = -14*r**3 - 21*r**2 + 3*r - 5. Give p(a) + 4*x(a).\nAnswer: 2*a**3 - 21*a**2 - a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**6\/180 + a**4\/12 + a. Let q(v) be the third derivative of f(v). Calculate q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 = l - 13, -3*l - 4*z + 28 = 0. Let g(m) = m**2 - 11*m - 2. Let y be g(12). Let v = y - l. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47741 - 6220372049\nAnswer: -6220419790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3269420 and 18755?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41989773 to the nearest integer?\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -8. Let b = h + 17. Suppose 4*s = 6*g - 2*g, 3 = 4*s - b*g. Solve -2*r = s - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 22*u**3 - 13*u**2. Let l(i) = 64*i**3 - 38*i**2. Let r(s) = -6*l(s) + 20*t(s). Find the third derivative of r(n) wrt n.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169.48 + -5.28. Let f = q + -164.23983. Round f to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25537157031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 2 + z**2 - 1 - 4*z. Let q be m(6). Suppose 248 = 12*c + 68. Calculate the greatest common factor of c and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 7 - -3 - 9) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 250*d**3 + 1400*d**2 + 4650*d - 5805 = 0 for d.\nAnswer: -3, 1, 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-49))\/(4\/28). Suppose 6*d = -5*i + 9*d + 172, -r*d = -3*i + 108. What is the lowest common multiple of 44 and i?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 83. What is c(-9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 9:02 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*f + 9126 = 44919, -3*z - f + 21483 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45775 - 0.0764486.\nAnswer: 45774.9235514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2339 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*n**2 + 2508*h*n + 19418*h + 7*n**2 with respect to n.\nAnswer: 4*h*n + 2508*h + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12551 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -be + d?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68059?\nAnswer: 68059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024323 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18676.074 months?\nAnswer: 1.5563395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 332, 497, 662, 827, 992?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28\/11*r**2 - 12\/11 - 34\/11*r - 6\/11*r**3 = 0 for r.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -887, -3555, -7777, -13553, -20883, -29767, -40205?\nAnswer: -52197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + 2*w**2 + 5*w**3 + 145*w - 74*w - 82*w - 4*w**2 + w**4 in the form x*w**3 + t + p*w**4 + v*w**2 + a*w and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -111649\/2 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 1499*k**4\/2 - 145*k**2 - 3*k + 2391. Find the second derivative of u(r) wrt r.\nAnswer: 17988*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000412 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -0.3, 0.1, -0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + 78\/5. Suppose 0 = 2*v + 3*x + 35 - 175, 5*v + 5*x - 340 = 0. Calculate the highest common factor of c and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.1 and 209?\nAnswer: -1901.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/11)*i)*i**4*i)\/(i**(-5)\/i*i**0) assuming i is positive.\nAnswer: i**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = 0, 2*z - 7*z = -2*l + 19. Find the third derivative of l - 18*g**2 + 8*g**2 - 10*g**3 - 2 wrt g.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 4)*(68271 - -253)?\nAnswer: 2, 37, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - z)*(-70 - 11*z + 70)*(-1 + z + 1).\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 2141*x + 2132*x - 12*x**3 + 94*x**3.\nAnswer: 82*x**3 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152408, -152520, -152706, -152966, -153300?\n\"Answer: -37*s**2 - s - 152370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + 5 + (sqrt(720) - sqrt(720)*-2) + 5 + 1 + sqrt(720)))**2.\nAnswer: 16800*sqrt(5) + 289225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 1343?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 418*d - 3921. Let u be (-1)\/(-3) - 77\/(-3). Let v = 39 - u. Calculate the remainder when v is divided by x(-218).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*m - 0 - 25, -2*m - 25 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 5*n + 12. Is m(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68589\/161 - -13370\/23. Let j = 254 + -99. Let o = v - j. Put 0.4, o, -0.3 in descending order.\nAnswer: 0.4, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15369362*k**4 - 11739492 wrt k?\nAnswer: 61477448*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 4*h = 7, -19 = -2*u - h - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2579 + 7740. Is n a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-65)*(-1152)\/(-5040). Are j and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeyefeyfe. Give prob of picking 2 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/108 and 151\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.863 and 19.\nAnswer: 24.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 169*s**5\/10 + 26*s**4\/5 - 503*s**3\/10 - 247*s**2\/5 - 58*s\/5 - 4\/5 = 0.\nAnswer: -1, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*u + 7, -2*s - 4*u = 2*s - 12. Let m(w) = -w**2 - 4*w. Let r be m(-5). Sort 3, r, s in ascending order.\nAnswer: r, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 8. Let b be m(-7). Let w(u) = u**2 - 5*u. Let t be w(b). Suppose -2*q + t = 2. Put q, -5, 0 in decreasing order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 - (0 - 1) - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {l: 1, z: 1, n: 2, c: 1, v: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + p - 1. Let k(x) = -3*x**2 + 3*x - 3. Give -6*j(h) + 2*k(h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 26\/199 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743188 divided by 228599?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 377549249 + -10382981898079\/27501. Let u = c - -8\/309. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0 - 6*f**2 - 5 - 4*f**3 + 0*f**2 - 6*f. Calculate the remainder when k(-4) is divided by (155 + 21012\/(-136))*(60 - 0 - 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 210166 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*f - 51, 73*f - 76*f + 5*z + 41 = 0. Solve 25 = f*d - 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 2.6 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 4, s: 4, p: 1, t: 6}. What is prob of sequence shg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6915*x + 6915*x - 28*x**2.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/8 + 35526*h**3 - 10099473023*h**2\/4 + 95906522490*h - 7287921148225\/8.\nAnswer: -(h - 142085)**2*(h - 19)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314275\/404091 - -2\/44899. Let a(o) be the first derivative of -2\/3*o**2 - m*o**6 + 10\/9*o**3 - 7 + 3\/2*o**4 + 0*o - 2\/3*o**5. What is v in a(v) = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -2062\/7, -2\/9, -312?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {u: 1, y: 1, p: 7, b: 2, f: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(171\/((-39501)\/(-264)))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/18 and 666\/351 - (0 - -1).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 + -0.17. Let i = 823 + -823.7. What is the third smallest value in j, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49869\/88 > 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12092, -97245, -328524, -778991, -1521708, -2629737, -4176140, -6233979?\nAnswer: -8876316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrorllrrrrrlslrrorso. Give prob of sequence lo.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301622*y + 301543*y - 603329*y.\nAnswer: -164*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372653560 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 75\/795503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 28. Let z be x(18). Let w(g) = 5*g + 23. Let q be w(z). What is the greatest common divisor of q and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-224)*(-8)\/11.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34*((-5)\/(-2) + -2). Suppose j = 5*j - 48. What is the remainder when (-4 - -5)*f*2 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -9 - 16. Let b(d) = 2*d - h + 0 + 7. What is b(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + 125\/(-20))*0. Solve c = 12*g - 19 - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93332140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644900 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 640 (c) 0.102 (d) -2\/3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + (0 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 8. Let l = -8.97 + i. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -346*y + 10037. Let r be p(29). Factor -5\/7*c**r - c**2 + 0 - 1\/7*c**4 - 3\/7*c.\nAnswer: -c*(c + 1)**2*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabgbbb. What is prob of picking 1 a and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - -4) + -1 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1608, 0.7.\nAnswer: -1608, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 20. Suppose 0 = -c*l + 5*l - 21. Calculate the greatest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12906 + 25*z**2 + 12906.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 4, l: 6}. Give prob of sequence led.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + -2 - -2) + 246\/50. What is the closest to -0.1 in -2\/7, w, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -41. Let k = c - -40. Let q = k + -51.896. Round q to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281663595 to the power of 1\/3, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.2, -0.79, 2\/9, 5?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1024 and 90448.\nAnswer: 5788672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2145551145, 2145551144, 2145551143, 2145551142?\n\"Answer: -b + 2145551146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*n**2 + 252*n**2 + 81*n**2 + 166*n**2 + 289*n**2.\nAnswer: 619*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4329 and 6863389.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = f + 49 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v - 15. Let y be (0 + v)*3\/(-3). Suppose 26 = y*x - 4. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2818 = -9130. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244989 divided by -501?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*t**2 - 17*t**2 - 7*t**4 + (2242*t**3 - 788*t**3 + 1149*t**3)*(-3*t - t + 5*t).\nAnswer: 2596*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 40 = -9*t + 4*t, -5*t = 2*c - 5. Let a = 10 + -5. Let p(b) = b**2 - 5*b - 2. Let g be p(a). Sort c, 0, g.\nAnswer: c, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p - 2304 = 18*p. Solve -m - 17*m = -p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose t*q - 57 = 13. Solve -q = 3*d + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062147 by 727.\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**6\/120 + b**3\/3 - 4. Let p(q) be the third derivative of c(q). Factor p(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 24 = m, -396 + 426 = 5*p. Factor m + 1\/2*l**5 - 1\/2*l**4 - 3\/2*l**3 + 5\/2*l**2 - l.\nAnswer: l*(l - 1)**3*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.34*2.\nAnswer: -2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + 1*sqrt(19) + 4)**2*-1.\nAnswer: -44 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4061138 + -820138. What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l\/l**(-1\/2))\/l))**(-47)*((l**(5\/3)*l)\/l)\/l**(-1))\/((l**(-1)*l**4*l*l)\/(l**(1\/3))**(-9)) assuming l is positive.\nAnswer: l**(109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19923 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -100 + 49 - 4*d**2 + 51. Let a(z) be the second derivative of -6*z**3 + 211*z. Calculate u(a(s)).\nAnswer: -5184*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/10 + 14*f**4\/3 - 49*f**3\/3 - 78*f**2 + 1823*f. Factor w(l).\nAnswer: -2*(l - 26)*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-1 + -4)) + 0. Solve b + 10 = 5*v - b, -3*b = -o*v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 561, 857, 1171, 1509, 1877, 2281, 2727?\nAnswer: 3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*k = -0*k, -4 = -4*k. Let b be ((-5)\/(-10))\/(52\/16 - x). Let p = 32 - 27. Solve 4*a = -4*m + 28, 0 = 3*m - p*a + 9 + b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 2*t - 2*t + (56 + 42 - 150)*(0*t - 10*t - 3*t).\nAnswer: 678*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 239453385 to the power of 1\/2, to the nearest integer?\nAnswer: 15474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 535, 800?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q - 45 = 0. Let v = q - -7. Let t be v\/10 + 66\/180. Which is the second biggest value? (a) t (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*q + 36*q - 15*q**3 + 6*q**2 + 8*q**3 + 10*q**3 to n*q + g*q**3 + r + l*q**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 273 = 3*x + 865, -3*v = -12. What is the remainder when 116 is divided by -4 - x\/(30\/5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*j + 52 = 70, -4*r = -3*j - 42. Calculate the least common multiple of 1166 and r.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 5) in base 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -2.36\nAnswer: -0.2596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 995563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1507, 5792, 12933, 22930, 35783, 51492?\nAnswer: 70057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 1. Let y = -6034\/285 + 1184\/57. What is the nearest to y in -2, z, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 219, 1\/8, 1\/13, -4\/3 in decreasing order.\nAnswer: 219, 1\/8, 1\/13, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1868*2\/252 + 971 + -984 - (-1)\/(-9)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32220535 (base 6) to base 4\nAnswer: 3220102223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*b + 5*b + 5*b - 250 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 718?\nAnswer: 136420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 - 250. Let t = n + 94. Calculate the highest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/3 (c) -1.2 (d) 2\/449 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/14209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2747\nAnswer: 7\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 4 (c) -2 (d) -0.9 (e) -81246 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/5))**(5\/13))**(3\/23)\/((q**(-1\/3))**(-2\/17)\/(q\/q**(-2\/9)*q**4*q*q*q)) assuming q is positive.\nAnswer: q**(375725\/45747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*i + 226*i + 3100 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -24*38\/1064*(-5)\/((-90)\/112)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.9947 - 40. What is d rounded to 4 dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-63)\/(-35))*(-6)\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5 - 3956*b**4 - 1805606*b**3 - 10691652*b**2 = 0.\nAnswer: -1271, -701, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 7:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 - (-6 + 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g - 48. Let y(i) = i**3 - 28*i**2 + 103*i - 28. Let u be y(4). Calculate k(u).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a minute in seconds?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 181. Give c(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 11 (b) 3\/58 (c) -24 (d) 0.34 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**6)\/g*g)**26*(g*g\/(g*g*g*g\/(g*g**1*g)))**0 assuming g is positive.\nAnswer: g**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2511 (base 8) in base 5?\nAnswer: -20403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Let m be (((-5)\/g)\/5)\/((-1)\/6). Suppose 23 = -5*y + 3*n, m*y + 4 = -4*n - 0. Let u(s) = s**3 + 5*s**2 + 3*s - 1. Give u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 9 = -3*t, 155*a = 158*a - t - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0217, -2\/9, -9\/49, 36 in decreasing order.\nAnswer: 36, 0.0217, -9\/49, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y + 4*y)*(0*y**2 - 10*y**2 + 5*y**2 + 2*y) to d*y + b*y**2 + i + o*y**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)*h*h)**(3\/31)\/((h\/h**(4\/5))\/(h**(-3)*h)) assuming h is positive.\nAnswer: h**(-637\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5246 + -5245.99. Sort -3, 2\/23, d.\nAnswer: -3, d, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**40*g*g)\/(g*g\/(g*g**(-34))))\/(g**(-2\/13))**(-41) assuming g is positive.\nAnswer: g**(22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from eexxx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 6*x + 3. Let v be b(-4). What is the units digit of v*(-1 - 0) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 146, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25952 is divided by 3195?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-12) - 16967\/(-76). Suppose 4*t = -4, -4*t = w + 2*w + 466. Let d = y + w. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 28 = 4*w, 2*w - 14 = 4*h - 34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*r**2 - 1725*r - 180*r**2 + 989*r + 736*r.\nAnswer: -260*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 20*m**2 + 14*m - 9. Let l(h) = -7*h**2 - 5*h + 3. Let y(t) = 17*l(t) + 6*v(t). Let x be ((-10)\/4)\/((-4)\/8). Suppose 2*r - x*r = 0. Determine y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10 = 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7120964101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 62 = a + 3*c, -3*a - 4*c + 59 = 0. Let z = a + -7. Calculate the lowest common multiple of z and 2*(3 + 0)*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -243, -835, -1835, -3237, -5035, -7223, -9795?\n\"Answer: c**3 - 210*c**2 + 31*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-143))\/(122 + -128)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*d + 15, 3*d = -2*d - 15. Suppose h*x - 10 = -2*x. What is the derivative of -8 + 9*f**x + 1 + 12 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006980815 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -42*u + 1\/18*u**4 - 16\/9*u**3 + 64\/3*u**2 + 0. Suppose q(p) = 0. What is p?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84, -699, -2392, -5709, -11196, -19399, -30864, -46137?\n\"Answer: -91*s**3 + 7*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 85\/(-40) - 10588967\/520. Let h = m - -20363. Let a = 897\/8 - 103. Calculate the common denominator of a and h.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(16\/(-10))*(5 + -7)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1090962 by -121218.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*s - 2 = 0, 0 = -2*j + 4*s - 2 - 2. Suppose 5*w - 20 = -j*w. Solve w*t + 7 = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 9*j + 37 = 4*j, -3*p - 2*j - 50 = 0. Let s = p + 18. Let 8\/3*c**5 + 2*c**4 - s*c**2 + 2\/3*c + 0 - 10\/3*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5746 - 1889*u**2 + 5746 + 2734*u**2.\nAnswer: 845*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + ((sqrt(405) + (sqrt(405) - (0 + sqrt(405))))**2 - sqrt(405)).\nAnswer: -9*sqrt(5) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9 + 7\/(-126)*(8 + 9 - 2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.8483454631 - -8.\nAnswer: 41.8483454631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -63. Suppose g = -3*c + 16. List the prime factors of (-1)\/(-2)*(c\/2 - -157).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4706478 is divided by 104586.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -47. Let q(o) = o**3 + 7*o**2 + 4*o - 8. Let b be q(v). What is the highest common factor of b and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/3447 and 70\/785313?\nAnswer: 300774879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 681\/12 - (-6)\/(-8). Let p = f - 93. Let u = -16 - p. Calculate the least common multiple of 24 and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 2*m**2 + 3*m + 5. Let o be n(-4). Suppose p - o = -4*x - 1, -110 = -5*x - 3*p. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1704 - -1720. Solve -i*b - 2 = 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 44*g**2 + 33*g - 7. Let c be k(-3). Suppose 100 + c = 6*u. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*v + 670 = -191 + 7087 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - ((-78 - -87) + 6 + -4 + -4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11200\/3 - -3733. What is the closest to -2\/5 in 2\/9, 1\/3, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.0283?\nAnswer: 0.0283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 - 955230*u - 45623217645 = 0.\nAnswer: -95523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 2\/17 (b) 2\/13 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*y = -f - 2248, 9004 = 4*y + 2*f. Suppose 10*m - y = -8*m. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + i. Let j(b) = 147*b**3 - 1831*b**2 - 1082*b - 156. Let n(w) = 2*c(w) + j(w). Suppose n(s) = 0. What is s?\nAnswer: -2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - m = -6, -4*c + 20 = 2*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 811134677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-245)\/(-175) + 1296\/(-315))\/((-5)\/120*-8)?\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -98.999991. Round k to 7 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + d**3 + d**3 + (4*d**2 - 2*d**2 - d**2)*(-7*d + 3*d + 0*d) + 0*d**3 + 0*d - d - 2*d**3.\nAnswer: -8*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/3 - 740*k**2\/9 + 326*k\/3 - 244\/9 = 0. What is k?\nAnswer: 1\/3, 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 48 = 7*a. Suppose -3*l = 4*h - 766, -a*l + 1015 = -13*h + 12*h. What are the prime factors of l?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48023.3 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0994 and -5.3925021.\nAnswer: -5.4919021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 2*m + m + 4*m**2.\nAnswer: 4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12755.5 times 0.08?\nAnswer: -1020.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886373254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 + 4 = c, -c - 3*l + 3 = 0. Suppose 25 - 4 = 7*g. What is the remainder when 54\/7 - c\/(-21) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210434427.\nAnswer: 3, 7, 41, 257, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1834 + -0.2024. Round d to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218102558 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -728.74, 2.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + (-20)\/6)*((-21968)\/32 - 5) is divided by 232?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.34314093 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*y**6 + 44*y**3 + 2520*y**2 wrt y?\nAnswer: -1920*y**3 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 6. Suppose -3*a = -4*a + r. What is the smallest common multiple of 14 and (-8)\/a*(1 + -30 + -1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alpktkap. Give prob of picking 1 k and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - h**2 + 14*h - 23. Let v be r(2). Let c(y) = -2*y - 38. What is c(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(-2 + (2 - 1)). List the prime factors of (-71)\/(-3) + 3\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjsj when four letters picked without replacement from {g: 5, s: 1, w: 3, j: 3, i: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 299 - 297 - 16*g**4 + 19*g**4 + g + g**2 in the form s*g**2 + i*g**4 + m*g + k + u*g**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)\/s*s\/s**1*(s**(-1\/2))**33 assuming s is positive.\nAnswer: s**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:04 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 796447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let a(z) be the second derivative of z**3\/3 + z**2 + z. Let t be a(-3). Sort t, q, 2 in decreasing order.\nAnswer: 2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:49 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 1342, 5281 in ascending order.\nAnswer: -4, 1, 2, 1342, 5281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 + 4. Let s be p(0). Let n = 16 + -11. Suppose -20 = -n*d - 5. Solve -4*t + s*h - 24 = 0, -3*t - d*h = h - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 4*r. Let t be (-9)\/(-1) + (r - -2). Is (3\/t)\/(1\/111) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.156 in 12, 0, -3, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -5, 38801 in ascending order.\nAnswer: -27, -5, 38801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sit when three letters picked without replacement from {x: 1, s: 1, i: 1, y: 2, t: 1, b: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -49454 * -0.4\nAnswer: 19781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51052425 + -51052423.00000055. Let n = u + -2. What is n rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 - 30 = -5*k. Let v = -12 - k. Let x = 103 - v. What are the prime factors of x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 89382.5 minutes?\nAnswer: 5362950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90)\/(-36)*(-5)\/(-2)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.9 - -69. Let d = 4 - 3.1. Let n = j + d. Which is the biggest value? (a) 0 (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14860 by 2972.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 - -265?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i - 7*i + 48. Let q be ((-8)\/(-10))\/(2\/5). Suppose 2*a + a = 6. Solve a*z + i*p + p = -5, -1 = -q*z + 3*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16980, 16985, 16994, 17007?\nAnswer: 17024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 18*m**2 - 18*m + 11. Let b be n(-19). Let q(r) = 85*r + r**2 + 20 + 189*r - 265*r. Give q(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176194?\nAnswer: 2, 37, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7522412 by 4.\nAnswer: 1880603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -t + 11. Suppose -t*h - 9 = 3*w, 3*h = w + 2*w + 9. Does 5 divide (-48)\/(-14)*(7 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 5. Let l be m(-2). Solve -10 = 2*t, 2*v + 4*t + 21 = -l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*p + 1. Let s = p + 1. Let i(d) = s*d**2 + d**2 - 4*d**2. Let z(n) = n**2. What is z(i(w))?\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/(l\/(l\/(l\/l**(-5\/2))))*l))\/l**2)**38)**26)**(-46) assuming l is positive.\nAnswer: l**(-22724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 594*j + 2382. Let m be w(-4). Solve 5*h = -3*k - 20, 0 = 4*h - m*k + 2*k + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 6ccd4?\nAnswer: 6ccce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-10)*(-9 + -4 + 8). Let z(y) = -6*y + 9. Let r(w) be the third derivative of -1\/8*w**4 - 2*w**2 + 0 + 2\/3*w**3 + 0*w. Determine c*r(f) + 4*z(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5 + 1579*b**4 + 6303*b**3 + 4725*b**2 = 0.\nAnswer: -1575, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 3*i = 21*u + 17, -14 = 2*u + 3*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 9*l - 34. Suppose 3*k = l*f + 572, 5*f = -6*k + 10*k - 766. What are the prime factors of k?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27.7819, 49, -1, 0.4 in increasing order.\nAnswer: -27.7819, -1, 0.4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406398 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.061943 and -0.094.\nAnswer: -0.155943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n - 10 - 5 + 26 - 11.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 188, 304, 430, 560, 688?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and -8\/6349.\nAnswer: 25396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(500) - -2*sqrt(500)) + (-5*(sqrt(40) + sqrt(40)*-1))\/sqrt(8))**2*-1.\nAnswer: -4525 - 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/12 + 4*p**3\/3 - 29*p**2\/2 - 16*p. Let q be g(-12). Sort -5, -3, q in descending order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-36)\/(-1)))\/(21\/378*-3)*-166.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -317, -554, -949, -1502, -2213, -3082?\n\"Answer: -79*d**2 - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.05 + 0.15. Let c = 1.5 - f. Let u be ((-5)\/(-3) - 2)\/1. Put u, c, -0.4 in decreasing order.\nAnswer: c, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:37 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 272+442\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21192858 and 8010.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9281 + -9280. Calculate the lowest common multiple of 2 + (-10)\/((-1)\/1) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/22)\/(2\/10) + 32\/176\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -302 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 152 = -3*k + 26, 3210*g = -57*k + 3214*g + 3473 for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 486 and 1811970.\nAnswer: 5435910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + (2*sqrt(19))**2 + -2.\nAnswer: sqrt(19) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(0 + (-24)\/(-9)). Suppose -y = 4*s - 0. Let d be -2 - 5\/(10\/s). Solve 1 = -d*j + j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 90?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -50*t**5\/7 - 172*t**4\/7 + 6*t**3\/7 + 416*t**2\/7 + 88*t\/7 - 288\/7 = 0.\nAnswer: -2, -36\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91.43961 - 0.13961. Are -2 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259 or 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -88262034 equal to -88262033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 1670592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 474, 1039, 1846, 2895?\nAnswer: 4186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197075242 is divided by 202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzdddzddzdzdddddd. What is prob of picking 1 d and 1 z?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 2242*f - 63 + 282 + 124.\nAnswer: 2242*f + 300","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -19*j + 104. Let h be d(6). Let g(n) = -n**3 - 12*n**2 - 23*n - 26. Let c be g(h). Solve 0*t = -c*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:38 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 50, 55, 60, 65, 70?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 - 3*v**3 + v**2 - 11*v + 88. Give z(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001032 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -308627554 and -308627556 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -682155\/58 equal to -11760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**4 + 760*w**2 - 4*w**4 - 761*w**2 - 1 - 2*w**3 + 1 as o*w**4 + z*w**2 + t + h*w**3 + b*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -33*z + 332. Let l be u(10). Suppose 0 = 6*o - 7*o - 1. Put l, 16, o in ascending order.\nAnswer: o, l, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2307 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:30 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3677 - 3619. Let d(g) = -g**3 + 60*g**2 - 115*g - 65. Determine d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/80)\/(42\/(-1680))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540700?\nAnswer: 2, 3, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -43*w + 45*w - 2015286, 3*x = -5*w + 1511482. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/92856 and -89\/27772.\nAnswer: 12164136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/(-9) + (196\/3)\/7 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + sqrt(11) + -1 - sqrt(99)\/(sqrt(9)*2)) + ((sqrt(99) - (sqrt(99) + 6*sqrt(99)*-1 + sqrt(99))) + sqrt(99))\/(sqrt(1089)*2).\nAnswer: 1 + 17*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1678779.48 hours?\nAnswer: 9992.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/1302 - 20\/(-651)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23370, 93478, 210326, 373914, 584242, 841310?\n\"Answer: 23370*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -488 not equal to -491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 69. What is the least common multiple of (-1)\/8 - (3 - l\/8) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 1. Let y be j(-3). Let g = 1 + y. Let o(x) = -x**2 + 1. Let n(c) = 7*c**2 - 6. Let b(k) = g*n(k) - 6*o(k). Let h(d) = -3*d. Give h(b(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46066085 and 708709.\nAnswer: 46066085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 3819\/263?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/5 + 1 + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 924.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 49*z**2 + 64*z - 108. Let w(a) = 7*a**2 - 2*a - 1. What is the remainder when w(-1) is divided by f(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 0*r - 3*r + (-1 + 1 + 1)*(2*r + 1 - 1) + 3*r - 5*r + 3*r + 2*r + 2 - 2 + 11*r + 48 - 48.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*o - 25 = 0, -2*w - 8*o + 3*o = 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -159183.148 rounded to the nearest one thousand?\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -167*(-25)\/20 + 3\/12. Let d be 38\/u - (-1)\/((-11)\/2). Put 2, -2, d, -0.5 in decreasing order.\nAnswer: 2, d, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.7 + -1. Let j = -0.15 + -8.85. Let x = s - j. Which is the closest to 0? (a) 0.5 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:27 AM?\nAnswer: 711","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 7:10 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 275 = -7*i. Let c be 2\/i*3*-5. What is the biggest value in 0.03, -0.2, c?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let s(c) = 2*c**2 - 178*c - 5. Determine w(s(m)).\nAnswer: 4*m**2 - 356*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24831 - 7049. Calculate the greatest common divisor of 34 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5125, -41, -5, -16 in descending order.\nAnswer: -5, -16, -41, -5125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 1, p: 2, r: 2, i: 3, y: 3}. What is prob of picking 1 p, 1 v, and 2 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -0.7?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + -7 - (1 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.616256 - -96?\nAnswer: 95.383744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/2 - 2*c**3\/3 + 2. Let g(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*x - 5 = 4*x, 4*g - 5 = x. Suppose -3*y + 2*o + 369000 = g, 4*y - 3*y - 123000 = -2*o. Round y to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 2. Let v be a(3). Let p be ((-6)\/(-5))\/(v\/5). What is the units digit of -8*((-15)\/p)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b43200 - -5?\nAnswer: -b431d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 0)*(0 - 47). Let y = 456 + p. Suppose -5*k + y = 3*z - 263, -4*k - 5*z = -395. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f, 5*r - 598 - 767 = -5*f. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602 divided by -4.\nAnswer: -301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-20)*1)\/((-2)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 4*x - 3. Let r be v(-5). Suppose r*n - 5 = 3. Suppose n*h = -5*k + 378 - 43, 0 = -3*k + 4*h + 201. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(77)\/sqrt(275)) + -5.\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*w + 24651959 = -201064393, -5*w - 225716324 = -4*y. Let f = y + 2970914. What is f rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(600))\/sqrt(432).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.5 (b) 3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -3*k**2 + 1\/12*k**4 + 0 + 0*k - 1\/30*k**5 + 0*k**3. Solve d(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 208990, 418376, 627762?\n\"Answer: 209386*m - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/((-6)\/24*24\/(-22))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:43 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -743 times 6\nAnswer: -4458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 23 = g, -4*b - 4*g + 4 = -0*g. Suppose 11 = 5*z - 4, -19 = -b*a + 3*z. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1242 - -1265. Let t(k) = -9*k**3 - k**2 - 3*k - 2. Let q be t(-2). Suppose 0 = 5*f - q + 12. Calculate the remainder when l is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r**2. Let c(n) = -11*n**2. Let q(d) = 3*c(d) - 2*w(d). Let f(y) = y**2. What is f(q(p))?\nAnswer: 81*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(2 + (sqrt(2448) - (sqrt(2448) - (sqrt(2448)*-3 + sqrt(2448))*-6)) + 3))**2 + -1.\nAnswer: 25344*sqrt(17) + 5640675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2609257*g**2*o**2 + 1247144*o**2 wrt g?\nAnswer: 5218514*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 14\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 66 = 3*i - 25, -2*q - 4*i = -42. Suppose q*o - 32*o + 147 = 0. Let x = o + -7. Calculate the greatest common divisor of 294 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91054.19 centuries to months.\nAnswer: 109265028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o + 6. Suppose 10 = -5*w + 4*f, -2*w - o*w + 33 = 5*f. Solve 12 = -w*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.03 - 0.97. Which is the closest to 2\/3? (a) x (b) -2\/3 (c) 0.4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1216)*6 + 3 + 2*(0 + sqrt(1216)) + 3)*3)**2.\nAnswer: -3456*sqrt(19) + 175428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*i - 3 = 520*i, -i = -t + 18 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -0.23758.\nAnswer: -0.63758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.7 - -37.7. Let k = -28 + h. Which is the third biggest value? (a) -0.2 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s. Let d(z) = -2*z. Let k be (4 - 2) + -1 - -1. Let i(f) = k*w(f) + 5*d(f). Let u(x) be the second derivative of x**3\/3 - 2*x. What is u(i(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/39)\/(2\/(-15)). Solve 4*b + q*i = 17 + 4, 0 = -4*b - i + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5 + 798*y**4 - 42874*y**3 - 2390*y**2 + 127044*y + 85760 = 0. What is y?\nAnswer: -1, 2, 64, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 890*v**3 + 4*v**2 - 28*v + 4. Let m(b) = -891*b**3 - 3*b**2 + 21*b - 3. What is 3*d(n) + 4*m(n)?\nAnswer: -894*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -18046098.\nAnswer: 5\/18046098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113482 is divided by 5151.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/33403116 - 4415858540267\/39048242604. Let f = -1581\/14 - o. What is the common denominator of 87\/20 and f?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2359302*j**6 - 60*j**3*v + j**3 - j**2*v + 1245688*j*v wrt j?\nAnswer: 283116240*j**3 - 360*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-5)\/70*22. Which is the closest to 2\/9? (a) -2 (b) w (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21161250 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/16*(-6521 + 6513).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 102, -81, -278, -495, -738?\n\"Answer: -s**3 - s**2 - 173*s + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 575\/345*4\/30?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22277694 is divided by 2230?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.57 plus 1.088?\nAnswer: 18.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11475367 and 2935559.\nAnswer: 126229037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14385 divided by 4\nAnswer: -14385\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 161, -5\/22, -14, -0.081 in increasing order.\nAnswer: -14, -5\/22, -0.081, 2\/3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 4*q + 1. What is h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-10) - 1*-2. Suppose g = 12*n - 84 - 0. Calculate the remainder when 11 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*x - 158*x + 55*x**3 + 2*x**4 + x**2 + 1 - 9*x**3 + 311*x as m + l*x**2 + o*x + b*x**4 + s*x**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 + 5*v - 2. Suppose -3*x + 3 = k - 8, 5*k - 19 = -3*x. Suppose -k*n + 8 = -2. Determine c(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 4 + 3 + 1 to the form k*p + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (256632\/(-25530) + 2\/1))\/(5 + -2).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/6 - (50\/(-15))\/(-10). Is x bigger than 2\/5487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.556274 days to microseconds.\nAnswer: 825662073600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554594?\nAnswer: 2, 277297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - o = 43*v + 2, 3*v + 2 = 2*o. Let x = 20 + -20.9. Let n = x - -0.4. Sort -1\/3, v, n in decreasing order.\nAnswer: v, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14313 (b) 3 (c) 1\/2 (d) 22 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*l = -63*l - 13. Let w = 31 - 30. Let x = 6 - w. Sort -1, l, x in increasing order.\nAnswer: -1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29400 by -105.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2898643 is divided by 289860.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 2}. What is prob of sequence uu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 102?\nAnswer: 98\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 302811 (base 10) to base 6\nAnswer: 10253523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 15*r**2 + 131*r + 1104. Determine w(-20).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 3*q)*(6369 - 6369 + 1027*q).\nAnswer: 1027*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4772 = 261*u + 2275 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 20*m + 2*f + 90 = 0, 2*f - 72 = -4*m. Let q(z) be the first derivative of 7\/2*z**2 + 1 + m*z. What is the first derivative of q(d) wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhuuhhhhhtutxhh. What is prob of sequence hth?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-3 - -10) + -5 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -7. Let r = a + 12. Suppose -r*f + 0 = -8. What is the remainder when 12 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjljjlljspllpzl. What is prob of picking 1 z and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + v + 26 = -0*v, 2*z - v + 34 = 0. Let k be z\/6 - 2\/(-4). Sort 5, k, 1 in increasing order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 2*x, 3*g + 3*x + 3 = -0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**2 + 3*d + 2. Let n(u) = -11*u**2 - 5*u - 3. Let o be 288\/(-32) - (2 + -6). What is o*n(p) - 8*y(p)?\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, a: 6, t: 6, z: 1}. What is prob of sequence taz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*k*t*y + 711*d*k*y + 2*d*t**2*y + 21228*d*t**2 + d*t*y - 2*k*t**2*y + 3*k*t*y + k*t + 2*t**2 wrt t?\nAnswer: 4*d*y + 42456*d - 4*k*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 203*n - 4. Let o(c) = 2*c. Give o(a(h)).\nAnswer: 406*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (24\/(-26))\/(-3). Let r = l - -197\/78. Let a = 2 + 0. Put r, a, -5 in ascending order.\nAnswer: -5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 3*h)*(-3 + 3 - 2*h**2) + 2*h - 2*h**3 - 3 - 2*h.\nAnswer: -4*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 235 - 65 = 0. Solve -2*l = -6*l + 3*a + 5, 0 = d*l - 3*a - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2415862 + 0.141591. Let y = f + 0.1. Round y to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + d - 2*d)*(-d - 3 + 3) - 11*d**2 + 12*d**2 + 18*d**2)*(3*d - d + 2*d).\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aka when three letters picked without replacement from {r: 3, k: 2, a: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gspu when four letters picked without replacement from {u: 6, g: 3, p: 7, s: 1}?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16905 + -9047. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114016603 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 5*z**4\/4 + 95*z**3 + 1800*z**2 - 13500*z - 529. Factor r(k).\nAnswer: 5*(k - 3)*(k + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 27950.\nAnswer: 83850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad31 - 53?\nAnswer: -ad84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 51 + 107 = -p, -5*p - 166 = -2*w. Suppose 6*x = -7*x + w. Calculate the smallest common multiple of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2\/503, 5 in decreasing order.\nAnswer: 5, 2\/503, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 741 and 249?\nAnswer: 184509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111349 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/4641 and -65\/196.\nAnswer: 129948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b + 44*b - 26*b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13799119471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 1, y: 1, b: 2, j: 1, e: 1}. What is prob of sequence me?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*h - 5*q, 7*h - 2*q = 182 - 206 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.99*13682.\nAnswer: 40909.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/8 and 4*11\/(-550) + 14965\/154250.\nAnswer: 4936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10450 + 10287. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(153)*1)**2) + 1.\nAnswer: -152 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2 - 420*p**3 + 80 - 59 + p**2 + 7*p**2 wrt p.\nAnswer: -2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 21*s - 56. Let x be z(16). What is the highest common factor of 264 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -48, -81, -120?\n\"Answer: -3*h**2 - 18*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - -104)\/91 - ((-372)\/(-10) + 0). Suppose -2*z - x = -6*z - 148, -74 = 2*z + 4*x. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.995101369 from -2.\nAnswer: -0.004898631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2148 by 537.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -37. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - l + 7 = 29, t = -4*l + 29. Calculate the lowest common multiple of 3 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 336*i - 534. Give n(2).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u - 52 = h, -4*u + 2*h = -68. Suppose 5*l - 43 = -u. Suppose l*a = 12 - 2. What is the least common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**2. Let l(t) = -119*t**2. Determine l(j(s)).\nAnswer: -7616*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p - 3*h = -119, -3*h = -3*p + 63. What is the units digit of -3*(p\/(-3) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-32))**(14\/3)\/(y**(2\/7))**(-5\/4) assuming y is positive.\nAnswer: y**(-6257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -15*x - 4. Let p(d) = d. Determine p(m(a)).\nAnswer: -15*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949114271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(s - 4 + 4)*(-465 - 342 + 677).\nAnswer: -260*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -k + 4, -k + 4*g - 2*g = -1. Let i(a) = -2*a**3 + 14. Suppose 1523*v - 1505*v = -756. Let y(l) = 1. Give k*i(d) + v*y(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5\/2. Let i = -6.5 + -1.5. Let o = 6 + i. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 7*x - 5*x - 7*x + 2. Let h be j(-6). Suppose -188 - h = -4*t. Is t a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/2 - 433037*f**2\/2 - 866071*f\/2 - 433035\/2 = 0 for f.\nAnswer: -433035, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*i**3 + 10*i**2 - 2047*i - 6282457?\nAnswer: 99*i**2 + 20*i - 2047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/24*2\/21.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-7))**(-1\/60)*(t\/(t\/t**(-1\/13)))\/t**(2\/21) assuming t is positive.\nAnswer: t**(-139\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.5032 decades in millennia?\nAnswer: 4.565032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (82 - ((-32 - -57) + -36))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11638.689 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*a + 2*u = 574*a + 18, 0 = -a - 11*u + 29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288a (base 15) to base 3.\nAnswer: 102220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 11}. Give prob of picking 3 a.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -1\/12*v**4 + 13 - 7\/6*v**3 + 0*v**2 - 2*v. Suppose 2 + 10 = -2*r. Give b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/31180 and -85\/88?\nAnswer: 685960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20) + -3.\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w**2 + 7*w - 10. Let c be t(4). Let u = -57 - c. Suppose -u*r + 47 = 17. What is the smallest common multiple of 22 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/290 and -79\/8874.\nAnswer: 44370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fruxdfor. What is prob of picking 1 f, 1 d, and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3794645 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1482 = -21*u - 408. Let w be (56\/(-30) - -2) + 192\/u. Let p(c) = 0*c + 4*c - 3*c. Let o(n) = -2*n**3 - 2*n**2 + 3*n. What is w*p(f) + o(f)?\nAnswer: -2*f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1186913140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84103 = 18*l - 28757. What is l rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453 by 151.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(30)*6)\/sqrt(10))**2 + sqrt(363)*-1 + sqrt(75) + sqrt(75) + -1.\nAnswer: -sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from {h: 1, b: 3, s: 5, m: 2, z: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 + 23 = d, 4 = 4*d. Let f = -6 - -6.3. What is the closest to 0.1 in f, 1, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 404 - (531\/(-63) + 5 - 4\/7). Solve -s*m = -405*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-24) + 62\/8. Suppose 5*y - 1 = -3*n, y + 39 = h*n - 2*n. Let v(r) = r**3 + 2*r**2 - 4*r + 1. Calculate the remainder when n is divided by v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 35*m**4 - 5*m**3 + 5*m**2 - 5*m - 33. Let c(w) = -17*w**4 + 3*w**3 - 3*w**2 + 3*w + 17. Let i(f) = 5*c(f) + 3*o(f). Differentiate i(n) wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z + 4. Let d(b) = b. Let a(p) = 14*d(p) + 2*k(p). Let c(y) = 8*y - 5. Let x(m) = 5*a(m) + 8*c(m). What is x(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -3*f**2\/2 + f + 4. Calculate the remainder when 39 is divided by q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 189\/30)*-5*112\/12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**1*y)\/y)\/y**(-2\/37))**45)**(-11) assuming y is positive.\nAnswer: y**(-19305\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271 - 274. Which is the third biggest value? (a) l (b) -0.05 (c) -2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 398990 and 25?\nAnswer: 1994950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1307 or 459?\nAnswer: 1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*m - 10, 30 = -388*j + 386*j + 4*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22\/55*11695\/2.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14*v**2 + 5*v - 26. Let f be z(-6). What is f rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 15*a + 80. Let p be f(-5). Let k be (-125)\/(-2)*(-176)\/(-20). Calculate the highest common factor of p and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137550 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**5\/20 - 5*m**4\/12 + m**3\/2 - 3*m**2\/2 + 3*m. What is h(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -47*w**2 - 10*w - 1. Let y(g) = 4*g**2 + g - 1. Determine h(l) + y(l).\nAnswer: -43*l**2 - 9*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 0.2 (c) -0.5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1168, -35.1, 2\/23 in descending order.\nAnswer: 1168, 2\/23, -35.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 9. Let v be d(7). Let s(y) = 0 + v*y**2 + 0. Let m(u) = 14*u**2. Let t(c) = -12*c**2. Let a(z) = 5*m(z) + 6*t(z). What is s(a(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*f - 5574 - 7091 = 319 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.8, -5\/2, -1\/4 in decreasing order.\nAnswer: -0.1, -1\/4, -1.8, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 1. Let q be b(1). Sort -3, q, 5 in decreasing order.\nAnswer: 5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus 0.2332?\nAnswer: -37.7668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2239 + -6432. Let i = y + 4219.39. Round i to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**(-1\/3))\/t*t))\/t)**35*(t**2)**23 assuming t is positive.\nAnswer: t**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159181 and 15469?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 142. Suppose -5*a - 8 = -7*a. Suppose t - 168 = -5*o + a*t, b = -o - 4*t + 52. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 10*o - 29. Let s(q) = 1. Suppose 5*a - d = 22, -a - 4*d + 17 = -0*d. Let z(h) = 3*h - 5. Give a*s(j) + o*z(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + 39\/(-2). Let t be (-30)\/i + (-2)\/4. Sort t, -4, 5 in descending order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -48. Let t = g + 21. Which is the nearest to 2? (a) 1\/5 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 51*m**3 + 20*m**2 - 23. Let r(f) = 13*f**3 + 5*f**2 - 5. Determine 2*p(u) - 9*r(u).\nAnswer: -15*u**3 - 5*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33e (base 16) to base 4\nAnswer: -30332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, 22, 188, 358, 496, 566, 532?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -3*u + 76. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 892 + 350?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 135*k + 20*k)*(5 - 1 - 5) + (1 - 5 + 1 + (1 - 1 - 2)*(0 + 2 - 5))*(k - 2*k + 2*k).\nAnswer: 111*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17142*z**3 + 26116*z**3 + 3*z**2 - 3*z**2.\nAnswer: 8974*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 5*n + 5. Let r be p(4). Let j = 0.06 + -0.76. Let x = j + -3.3. Put r, x, 5 in decreasing order.\nAnswer: 5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - l + 17906 = 0, 0 = 2*b - b + 3*l - 5966. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Suppose 0 = 4*g - p - 19. Let s be (-4)\/(-9) + 21\/4*16\/54. Solve k = s - g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/67601 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222120 - 12?\nAnswer: 2222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38497592\/4410 - (-20)\/(-350) - 4\/(-9) a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.802138 and 1.87.\nAnswer: -6.932138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 6*m. Let o(c) = c**3 + 3*c**2 + 2*c + 1. Let z be o(-2). Let u(b) = 102*b**2 - 300*b**2 + 103*b**2 + b + 94*b**2. Determine z*r(w) + 4*u(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-50)*(-8900)\/1068\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 2*(-3)\/2. Let f be 10*x\/(2 + 0). Suppose 0*m + 3*m + 5*y = f, 0 = -4*m + 5*y + 30. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 93 = 24*a. Solve 6 = -4*h + 2*r, 0 = a*h + 2*r + 2*r - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -780 - 93. Let t = 875 + l. Put -4, t, 22 in increasing order.\nAnswer: -4, t, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8673246 divided by 2891082?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -84*i**3 - 92573468*i**2 - 101389896*i - 8816512 = 0?\nAnswer: -1102064, -1, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1092 and 0.5.\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2607 - -5479. Suppose -7*p - 338 = -n. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -715.1 - -715. Let z = -30 - -31. Put 2, z, v in decreasing order.\nAnswer: 2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1419 and 265.\nAnswer: 376035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsx when three letters picked without replacement from {s: 7, x: 5, v: 2}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, r: 1, p: 1, c: 4}. Give prob of picking 2 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, b: 4}. What is prob of picking 2 b and 2 x?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 + -101. Calculate the smallest common multiple of (2 - (-54)\/(-30)) + 597\/15 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 15*r + 0*r)*((3 - 6 + 1)*(-r - 2*r**2 + r) - r**2 - r**2 + 3*r**2) to the form s*r**3 + y*r**2 + f*r + t and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39\/19 - 1256\/399. Find the common denominator of n and (3\/((-24)\/22))\/(5 + (-6)\/(-24)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*x = 8038, 2*t = -2*x + 3907 + 12193. Find the third derivative of 8047 - t + r**3 - 16*r**2 - 55*r**4 wrt r.\nAnswer: -1320*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -170914881 and -514.\nAnswer: -170915395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h + 1. Let z(a) = -17*a**3 + a**2 + a - 1. Give -b(i) - z(i).\nAnswer: 18*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/14 + (-2)\/(70\/(-6005)). Let l be ((-12)\/(-7))\/(-3 - j\/(-56)). Let i = l - -245. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/131, 3, 105, 2\/15, -1.\nAnswer: -1, 2\/131, 2\/15, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 399, 908, 1435, 1992, 2591, 3244, 3963, 4760?\n\"Answer: 2*p**3 - 3*p**2 + 504*p - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159367 - -7367. Round f to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f - 2*u = -8, -f - 12 = -5*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3426833 to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3586\/105 - -247\/7. Calculate the common denominator of g and 115\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.9301172 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 171, 346, 539, 756, 1003, 1286?\n\"Answer: k**3 + 3*k**2 + 159*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -39931.\nAnswer: -399310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000742464 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8442181 is divided by 90776?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = -3*f. Let q = -3 + f. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 8. Let m be z(-7). Let p be ((-12)\/(-9))\/((-4)\/(-6)). Let o be ((-12)\/(-16))\/((-9)\/p). Is o not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -129\/5, 26 in descending order.\nAnswer: 26, 0.4, -129\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a = 75*a - 44. Suppose 6*r + a = 10. Let z(m) = 2*m**2 + 1. Let x be z(-1). Sort x, 7, r in decreasing order.\nAnswer: 7, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*z = -4*z - 8, 0 = s + 5*z - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*o - 7410 = -8*h, -5*o = h - 1857. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - ((7 - 3) + -4576) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2670*k = 1338*k + 1345*k - 403 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**4 + 9*v**3 + 3*v**2 - 2. Let i(n) = -4*n**4 - 9*n**3 - 2*n**2 + 3. Let g(k) = 2*h(k) + 3*i(k). Differentiate g(m) wrt m.\nAnswer: -16*m**3 - 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 386, -3, -2, -5877 in decreasing order.\nAnswer: 386, -2, -3, -5877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, -65105, 4, 1 in ascending order.\nAnswer: -65105, -103, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64851, -259392, -583561, -1037304, -1620567, -2333296, -3175437, -4146936?\nAnswer: -5247739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j - 5. Let a(d) be the second derivative of -d**3\/6 + d**2\/2 - 2*d + 470. Determine 5*a(k) + o(k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-24)\/(-30))*5*(-264)\/300?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -363 divided by 1\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739.\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -14. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 6*s + 8*s)*(3*s**2 - 8*s**2 + 0*s**2) to o + l*s**3 + w*s + y*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 273893251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 542 - 526. Suppose -4*j + 5*l = -87, -l = 2*l - 15. What is the remainder when j is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 7\/3. Let y = -0.038 + 0.138. Which is the nearest to y? (a) 5 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 96?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377046*z - 752807*z + 376421*z.\nAnswer: 660*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 - 338*i + 7.\nAnswer: -338*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttjjsjtdtjttjttjt. What is prob of picking 1 s, 1 t, 1 d, and 1 j?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -24, 3, -4.\nAnswer: -24, -4, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**4\/4 + 4*c**3\/3 + 5*c**2\/2 + c + 568. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89302641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:39 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 11 = -4*b, 2*r - 14 = -6*b + 3*b. Suppose 20 = 2*d - 7*d, 0 = b*c - 3*d - 32. Suppose 0 = c*j - 153 - 2. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1414473*h - 21748*h**2 - 1414473*h.\nAnswer: -21748*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10034?\nAnswer: 2, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836472355 to the power of 1\/2, to the nearest integer?\nAnswer: 42854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1311*g + 75*g**2 + 44*g**2 + 43*g**5 - 2*g**3 - 1311*g wrt g?\nAnswer: 2580*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2. Let n(a) = 29*a - 27. Let r(b) = 182*b - 161. Let c(w) = -25*n(w) + 4*r(w). Calculate t(c(l)).\nAnswer: 45*l**2 + 930*l + 4805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let o be (3\/8)\/((-1)\/(-4)). Let s = -4 - -2. Which is the nearest to x? (a) 1 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*t - 149*t + 41832 = 59*t. Solve t*p = 144*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 - -15.73. Let i = 15 - y. What is the second smallest value in 0, 2\/9, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2256100 by 45122.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 4*q - 30. Let x(p) = -p**2 + 2*p. Let z be x(4). Let b be d(z). Solve -6 = -b*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6957 - 0?\nAnswer: 6957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15855 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 2*s**2 - 3*s. Let k be w(-3). Suppose -u + 14 = -k*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -807 + 803. Put -5, t, -1\/39 in decreasing order.\nAnswer: -1\/39, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -29\/125 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1304 = -3*d - 0*d, -3*d - 4*x - 1268 = 0. Let v = 276 + d. Which is smaller: -151 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t + 5*t)*(-5 + 0 + 4)*(2*t + 8*t + 9*t).\nAnswer: -114*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 + 3*i - 4. Let h be t(2). What is the second derivative of -228*v**3 + v**2 + 243*v**3 + 32*v - v**h wrt v?\nAnswer: 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 8*k + 6. Calculate t(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/6))**(-48)*(r*r**(-13))\/(r**(-8\/11)\/r))**27 assuming r is positive.\nAnswer: r**(-5427\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3051125 and 222250.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.177 (c) -2\/13 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k + 5*z + 7, -5*k + 4*z + 32 = 0. Is 10 a factor of 10\/(3\/10 - k\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Suppose 0 = s, 0 = v + 2*s - 0*s + 2. Let y be l(v). Find o, given that 3*o**y + 4*o + 0 - 5*o**2 - 2*o + 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 + 395*i - 2840 = 0.\nAnswer: 8, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 4. Let y be f(-4). Let h = y - -2. What is the units digit of ((-4)\/(-3))\/(2\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1104\/18)\/((-92)\/69).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/10 - 3*t**2\/2 + 17*t\/5.\nAnswer: -t*(t - 2)*(t + 17)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8961 and 9858.\nAnswer: -88337538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 1 - 5. Let d = u - -7. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -163. Suppose -2*u = -5*u - m + 126, 3*u - 3*m - y = 0. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4374, 5753, 7142, 8547, 9974, 11429, 12918, 14447?\nAnswer: 16022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = 5*v - 350 + 342, 0 = -l - 5*v - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 - 5\/24*s**4 + 0*s + 1\/24*s**6 + 0*s**5 - 10*s**2 + 0*s**3. Suppose y(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24567 is divided by 988?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -264005 + ((-8)\/(-2) - 1). Let h be c\/(-4) - (-6)\/(-12). What is h rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 626 + -5003\/8. Which is the second biggest value? (a) x (b) 2\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (779 - 522 - 658)*((0*c**2 + 3*c + 0*c**2 - 2*c**2)*(-2*c + 23 - 23) + (c - c + c)*(3*c + c**2 - 3*c)).\nAnswer: -2005*c**3 + 2406*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 15*a**2 + 15*a + 10. Let l be i(16). Let g(o) = -o**3 - 2*o**2 + 20*o + 4. Let q be g(l). Which is smaller: 161\/6 or q?\nAnswer: 161\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 12*j + 3 = -9*j, -4 = 3*q - 4*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*t + 319*t - 104*t - 103*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3) + 1 + -1.\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 5:28 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 119, 278, 503, 794, 1151, 1574?\nAnswer: 2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1779898 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + 14 - 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264000*n**2*v*z + n**2*v - n**2*z + 19*n**2 + 2*n*v - 131424*n*z - v - 2*z wrt n.\nAnswer: 528000*v*z + 2*v - 2*z + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + 9*d**3 + 0*d**3 - 5*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.579 + -0.279. What is the closest to -1\/3 in 0.5, b, -17, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 404, 27, 1 in ascending order.\nAnswer: -1, 1, 27, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b61c (base 14) in base 12?\nAnswer: 30868a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 104. Let i(y) = y**2 + 32*y + 277. Let s be i(-17). Let r be v(s). Suppose -53\/2*a**2 + 7\/2*a**4 - 21*a - r*a**3 - 4 = 0. Calculate a.\nAnswer: -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 + 111. Let v = d + -14. Let m(i) = 41*i**2 - 7*i + 13. Is m(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 694642 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-54)\/(-45))\/((-2)\/5). What are the prime factors of 46 + (4 - 3)*p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*6 + 0.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253075.26 months to centuries.\nAnswer: 210.89605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**6\/40 - g**5\/20 + 7*g**2\/2 + 6*g. Let d(f) be the first derivative of y(f). Factor d(c).\nAnswer: -3*c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*(sqrt(1539) + 1) + sqrt(1539) - (sqrt(1539) + 2 + 4)) + 0 + -2).\nAnswer: -54*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - 3. Let y(i) = 11*i**2 - 5. Let d(x) = -5*q(x) + 3*y(x). Let b be d(-1). Solve -3*g - b = -0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -4*s - 21. Calculate the remainder when 27 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssvssssssssss.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 72*p - 7. Let m(y) = 73*y - 10. Give 2*m(b) - 3*z(b).\nAnswer: -70*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1184 (base 9) to base 14\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/70)\/((-63)\/(-2800)). Let w = p - 44\/7. Suppose -2\/3*y**2 - w*y + 0 + 2\/3*y**3 = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459520748?\nAnswer: 2, 114880187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 2. Suppose -2*k - 3*j - 9 = -4*k, k + j - 7 = 0. Let i be (-16)\/(-7) - k\/21. What is y(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16019 + 17230 - 3981 = -3252*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 167? (a) -10 (b) 4 (c) -3\/2 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5391.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*(15846\/(-6811))\/38?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -21*s**2 - 2732*s + 7. Let t(v) = 13*v**2 + 1366*v - 4. What is -5*t(i) - 3*y(i)?\nAnswer: -2*i**2 + 1366*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4784700 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 1, g: 1, p: 3}. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 3, w: 7, y: 3, d: 3}. Give prob of picking 1 d, 1 y, and 2 w.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 - 422514*c**2 + 17512*c + 6?\nAnswer: 12*c - 845028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 n when four letters picked without replacement from {e: 5, o: 1, z: 2, s: 1, n: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5 + 7*s**2 + 0 + (1 + 0 - 3)*(-s + s - 2*s**2).\nAnswer: 11*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 549*b**2 + 778*b?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 244*h - 4*h**3 - 244*h.\nAnswer: -4*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1695196*u + 6 + 3479323*u - 6.\nAnswer: 5174519*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/30*156\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 2*i - 1. Let j be (-16)\/20*(-6)\/9*15. Suppose -4*n = -4*z + j, 3*z + 3 - 9 = n. Calculate f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 - 4*p**3 + p**3)*((5*p - p + 8*p)*(-5*p + 5*p - 2*p) + 14*p - 14*p - 17*p**2).\nAnswer: 287*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.271166 * -0.2.\nAnswer: -0.0542332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*k + 7*z - 30, 0 = 2*z - 4. Let w = 4.33 + -3.33. What is the nearest to k in -0.5, w, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 = 1. Let d(w) = w**3 - 6*w**2 - 10*w - 13. What is the tens digit of d(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from aolo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002051 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1404 and 401200.\nAnswer: 140821200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5551\/616449?\nAnswer: 5551\/616449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.29 + -17. Let f = s + 0.21. Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 66 + 138 + 107*j - 130*j.\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.33 + 1.4. Let h = 0.03 - a. Sort 1\/3, h, -1.\nAnswer: -1, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35861 less than or equal to -35848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383439 = 42*s + 831*s + 3250*s for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24028452 rounded to four decimal places?\nAnswer: -0.2403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5453 divided by 19?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.110004451 + 0.10999. Round l to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59968*f**2 + 29984*f**2 + 29985*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttn. Give prob of picking 3 t.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-77) + (-656)\/7. Calculate the common denominator of (-7)\/(-14) + (-74)\/78 and s\/4*10\/(-50) - 3.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2790 and 2610.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4952, -6196, -7426, -8630, -9796, -10912, -11966?\nAnswer: -12946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**2 - 5*p**3 - 335 + 335 + (-p + p - 4*p)*(p - p + 4*p**2).\nAnswer: -21*p**3 - 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:09 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)\/a)**(-50)*a**(-6)\/a*a**(-3\/7))**(-2\/81) assuming a is positive.\nAnswer: a**(-6196\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*5\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/33*(0 + -6). Let s = 97 + g. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*v**4 - 3 + (-5*v + 4*v + 0*v)*(2*v**2 - v**3 - 2*v**2) + 327290*v**3 - 324*v**4 - 327290*v**3.\nAnswer: -325*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3532 is divided by 882.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.800377 + -0.8. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + q**2 - q**2)*(-q**3 - q**3 + 4*q**3).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - h**2. Let b(a) = 4*a**3 - 22*a**2 + 5. Determine -b(t) + 3*r(t).\nAnswer: 2*t**3 + 19*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/488612 and 19\/706928.\nAnswer: 33225616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 689, 3, 0 in ascending order.\nAnswer: -16, -5, 0, 3, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 3, y: 2, t: 2, a: 8, n: 4}. What is prob of sequence caya?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 v when three letters picked without replacement from {s: 4, j: 2, v: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*x**2 - 459963*x + 31722.\nAnswer: -3*(x + 5287)*(29*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 16*g - 18. Let c(l) = -3*l**2 - 15*l - 16. Give -5*c(w) + 4*k(w).\nAnswer: -w**2 + 11*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnd when three letters picked without replacement from {d: 9, n: 2, o: 2}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 2\/7 (b) -1\/26 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*c - 5*j - 18 = 0, 19 = -4*c - 5*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 3*v**2 - 3*v. Let w be r(-2). Let p be (w + (-15)\/6)*-56. What is p rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 5*v**5\/6 - 5*v**4\/3 + 4*v**3\/3 - 39*v**2. Factor s(l).\nAnswer: 2*(5*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 2*l - 21. Let n(u) = 3*u**2 - 5*u + 52. Let d(a) = -2*n(a) - 5*o(a). Let y(t) = -24*t**2 + 5. Calculate -5*d(z) + y(z).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*a + a. Differentiate 779 - o - a*o**4 - 699 + o wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17709100 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 17 = 1. Suppose -5*l - 3*d = -4*d - 6, z*d = 4*l. What is the second derivative of -911*g**l + 19*g**3 + 19*g + 911*g**2 wrt g?\nAnswer: 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/30 - 5*a**4\/24 - 2*a**3\/3 + a**2 - 84*a. Let j(z) = -5*z**2 - 11*z - 9. Determine -3*j(q) + 7*n(q).\nAnswer: q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/(-2)*162\/(-45). Let g be 12\/18 + 132\/h. Let n = 37\/10 - g. Calculate the common denominator of 87\/16 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/3 + g**3\/3 + g**2\/2 - g. Let v = -45 - -43. Is d(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 21. Let y be w(6). Suppose -q - 2*q + 9 = t, 0 = q - 3. Solve y*f + t = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 6. Solve -5*n + 4 = 14, -5*j - 3*n - p = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3758 - -3765. Which is the closest to u? (a) 0.4 (b) -18 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16859)\/33718)\/(1\/1*1*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3950*i + 2808451. What is w(711)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*l - 3*i - 15 = -163*l, 3*i = -9 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**3 - 2*d**2 + 6*d - 2. Let f(l) = -11*l**3 - 4*l**2 + 13*l - 4. Let y(v) = -6*f(v) + 13*j(v). Suppose -6*h = -2*h - 12. Determine y(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + -1 + 0) - (41830 + -41838)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44021272 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*j**3 - 69704*i**4 + 2704*i*j**3 - 10*i + j**3 wrt i.\nAnswer: -12*i**2*j**3 - 836448*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04563 and 345.\nAnswer: 345.04563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568 = -29*f + 37*f. Let x = -71 - f. Solve -3*k + 7*k + 4 = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-384))\/(5\/440)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 136.7391 years?\nAnswer: 1.367391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olo. Give prob of sequence ol.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/24*4\/(-3). Suppose -2*a - 88 = -4*y + p*a, 2*y = -a + 53. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, l: 3, y: 2}. Give prob of sequence pl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8027741 years to months.\nAnswer: 9.6332892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2604 = -29449*y + 29573*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -4 (c) -3 (d) -0.183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 3, -1\/2, 1\/11868, -2\/19 in increasing order.\nAnswer: -3, -1\/2, -2\/19, 1\/11868, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334582.\nAnswer: 2, 173, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9222175531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 12105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2235*h + 38 = 2236*h, 6*h - 108 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8640 and 8100?\nAnswer: 129600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-192)\/(-2))\/(2 + -1). Suppose -c - 4 = -5*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2424 + 4?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/53 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -a + 188828 - 188821, 3*t - 3*a + 7 = -20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*f + 38, 5*f = -3294*p + 3293*p + 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*p + 85*p = -9. Determine t, given that 4\/9*t**p + 2\/9*t**4 + 0 + 2\/9*t**2 + 0*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + r = -60, -2*q - r - 6 = -36. Suppose 7 - q = -4*c. Solve -3*u + 4*w - c*w = 13, 6 = -u - w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -19. Let w(g) be the first derivative of -1\/9*g**3 - 3 + 0*g**v + 1\/3*g. Factor w(a).\nAnswer: -(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 0, -20*o = 4*w - 25*o - 320. Calculate the greatest common factor of w and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 282? (a) -3 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-49)\/6 - (20 - (25 + -10))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5106, 10219, 15334, 20451, 25570, 30691, 35814?\n\"Answer: z**2 + 5110*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4 + 1896\/(-320). Let g = i - -23\/10. What is the nearest to 2\/7 in -1, -3\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xvxvxxxxxvxx.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 580 + -394. Suppose 5811 = -h*p + 189*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.3 times 15357?\nAnswer: -8896310.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -0.09 (c) -2.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*o + 4*j**2 - 5*j*o + 2*j - 7*o + 644 wrt j.\nAnswer: -2*j*o + 8*j - 5*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 11. Let y be z(4). Calculate the lowest common multiple of 0 + y - ((-6)\/3 - -3) and 27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t*t**6*t)\/t)\/t))\/((t*t**(-3\/8))\/t) assuming t is positive.\nAnswer: t**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2261*c + 2261*c + 3 - 9 + 42 - 907*c**3 - 13*c**2 wrt c?\nAnswer: -5442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153649 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**2 - 1811*z + 19458.\nAnswer: 2*z - 1811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 6*n + 3*j - 8, j = -4*n - 12. Let b = -22\/13 - -123\/65. What is the nearest to 0.2 in -3, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24020200 (base 5) to base 12\nAnswer: -a7416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -234, -332, -438, -534, -602, -624?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -564 - -610.9.\nAnswer: 46.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 5*y. Let o(a) = 3*a**2 + 8*a. Let x(w) = 8*h(w) - 5*o(w). Let i(r) = 9*r. Calculate x(i(g)).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.209 and 3001.\nAnswer: 3001.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20320 + 915 - 673 + 2452 = -622*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/12 - u**3 + 2*u**2 - 6*u. Let a be q(-6). Solve a*v + 3*t = 4, 0*t = -3*t - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 20. Which is smaller: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (-194 - -184).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.4407745 + 7.5198. Let c = -0.079 + u. What is c rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 less than 914\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -14830, -0.4 in decreasing order.\nAnswer: 4, -0.2, -0.4, -14830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Let o be p*124\/8 - 1. Suppose -2*l + l = -o. Calculate the highest common divisor of 120 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1051*b. Let x(m) = -46*m + 2. Calculate x(t(z)).\nAnswer: 48346*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40332.381998 - 40212.382. Let h = c - 120. What is h rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 14. Determine s(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18 - -16005) + ((4 - 2)\/2)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/6 - 5*a**2\/3 + 25*a\/6 = 0. Calculate a.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1591838325 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5533 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9*r + 4 = -2*v, 0 = 4*v - 5*r - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 119862*t = -119865*t - 15, 4*n + 36 = -4*t for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z + 90. Let f(n) = -5*n - 3. Let b be f(1). Suppose -h + 4*i + 43 = 0, 2*h = -h + 5*i + 101. Calculate the remainder when h is divided by o(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 66. Suppose -3 = -r*o - s, 0 = -5*o + 5*s + 8 + 7. Let n(j) = 12*j**2 + j. Determine n(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -167\/3, -5, 89 in descending order.\nAnswer: 89, -3\/7, -5, -167\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 9120911.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 288*c**2 - 2580*c - 6200.\nAnswer: -4*(c + 5)**2*(c + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4\/f**9*f*f**12*f*(f**(-9)*f)\/f assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6461922 to the power of 1\/2, to the nearest integer?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a hour in minutes?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 3*r + 2*r. Suppose 5*n - r = -y, -2*n - 4 = -y - y. Solve y*m - 4*f + 5 = 4*m, -2*f + 15 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2 + 12)*(-1573 + 4*y + 1456 - y).\nAnswer: 78*y - 3042","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -13. Suppose 3*f - 5*g = 6*f - r, f + 2*g = 6. What is the units digit of 2\/(0 - -2) - f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160024 - 77779. Let c = -120803 - v. What is c rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxyyeuyuwyywxuxyuw. Give prob of picking 1 r, 1 y, and 1 e.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517998697.\nAnswer: 1117, 463741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2\/9 (c) -5 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 2. Let x be s(-2). Let w be -10 - ((-6 - -2) + -11). Suppose -y = -x*k + w*k - 2401, 0 = -3*y - 3*k + 7191. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 6. Let a be j(3). Let f be ((-15)\/2)\/(a\/6). Is f\/5*(-38)\/(-2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -22) + 63\/35*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - c + 2. Let x(b) = 21*b**3 + 2*b**2 + b - 3. Give -s(j) - x(j).\nAnswer: -20*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.379896l in millilitres?\nAnswer: 379.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34048144 by -2619088.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -43. Let b = 27 + -22.8. Let g = b + -0.2. What is the closest to 2 in g, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - i + 18 = 0, 0*h - 4*h + 2*i + 44 = 0. Suppose -3*y = -f + 96, -f + h*y + 104 = 5*y. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 283. Let h = -255 + u. Which is the nearest to 2\/3? (a) -0.3 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u - 2. Determine p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 8, -1\/2, 77, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-965*s**2 + s + 676*s**2 + 581*s**2)*(2*s**2 - 2 + 2) + 0*s + 0*s - s**4.\nAnswer: 583*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) 1002 (c) 2\/15 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 88, 99, 114, 133?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.48894565 rounded to two decimal places?\nAnswer: -18.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/5)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20336*d**3*f + 29*d**3 - 102*d**2 + 3*d + 171*f**3 - 2 wrt f?\nAnswer: -20336*d**3 + 513*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5176 + 3044. Let u = -2132.00001994 - c. Round u to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/327 and -25\/6152.\nAnswer: 2011704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -q + 5, -59*v = 3*q - 23*v - 37*v + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -25. Calculate the remainder when c is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -13 + 7 + -24 - -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5314241 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 3. Let q(k) = 3*k**2. Determine q(l(h)).\nAnswer: 3*h**4 - 18*h**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 31*o**2 - 2*o + 10. Let p(i) = -2387*i**2 + 155*i - 775. Determine -310*f(q) - 4*p(q).\nAnswer: -62*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*62832\/952\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 299548, 598408, 897266, 1196122, 1494976, 1793828?\n\"Answer: -q**2 + 298863*q + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/13, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 57 - 35 = -2*a, 0 = -2*a - 4*m - 76 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 18 (c) -1 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 597026627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(1300)*2 - 5*(sqrt(1300) + -1)).\nAnswer: -30*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1889*(-4 - (5 + -8))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, 50, 991, 3042, 6575?\nAnswer: 11962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -52596 divided by 1948\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 3, -1, -10, -4237.\nAnswer: -4237, -10, -1, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/38*-2 - 215\/(61275\/35610).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 2. Let u be r(0). Let l = -530 + 523. Let a be 3 + (-1)\/(l\/14). Is a smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11366 + 12106 = -2*g - 4*g - 14*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 14*t - 2. Let g be z(-7). Let u = 7 + -7.05. Which is the third smallest value? (a) u (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 2*z + 0*z)*(-89166*z**2 + 89166*z**2 + 388*z**3) - 4*z**4 + 2*z**4 + 3*z**4 + z**3 as c*z**2 + o*z + b*z**4 + m*z**3 + t and give b.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 + -441. Calculate the common denominator of w\/12 - (-486)\/81 and ((-2)\/(-56))\/(6\/376).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212 + -101?\nAnswer: -21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 28 = 3*f, -2*f + 2*r + 27 = -r. Let v(u) = u**3 - 5*u**2 - 4*u - 3. Let b be v(f). Solve 5*d - b = -2*x - 2, 24 = -3*x + 4*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 97196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 + (-4 - -7) + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -54. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19737081 and 864.\nAnswer: 631586592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 6*y**2 - 7*y + 3. Suppose 3*z + 8 = -4*v, -v + 11 = 47*z - 43*z. Determine j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 2:43 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4954*i + 4811*i + 4290 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13049 + 274103\/21. Find the common denominator of m and ((-6)\/(-64))\/((-27)\/(-60)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 4604688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -120217*z. Let b(t) = 46*t**2. Give b(h(y)).\nAnswer: 664797846094*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 9657?\nAnswer: 627705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50*8\/20*2*(-6)\/(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/55*495\/(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3)*h)**21\/((h**(-1\/8)*h)\/h**(-35)))**41 assuming h is positive.\nAnswer: h**(-18655\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 129*l + 995. Determine g(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 453 + -450. Suppose j - 5 = 5*z + i, z = 3*j - 38. Calculate the remainder when 73 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.2, 5, 6, 4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77004204 is divided by 6417017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 1)*(6*k - 2*k - 3*k) + 2*k - 3*k - k)*(-2 + 4 + 3 + (-3 - 5 + 1)*(1 - 5 + 3)) - k + 0*k + 0*k.\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/(36\/378*-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -16*b + 0 + 1\/3*b**3 - 11\/2*b**2. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 2797?\nAnswer: -5594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**5)**(2\/11) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -12363390?\nAnswer: 1236338c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1630, -6419, -14404, -25591, -39986, -57595?\n\"Answer: -c**3 - 1592*c**2 - 6*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*j + 9*d, -d - 1171 = -0*d - 1176 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 473 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(40\/72*(-51)\/(-170)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 22*u**2 - 71*u - 104. Let h be f(25). Sort 11, 4, -2, h, 2.\nAnswer: h, -2, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 9*y - 4 = -3*a, -a + 4*y - 12 = 0. Solve -a*m = 3*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4758027 is divided by 144176?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)**(-2\/45)\/(f**(-1\/4))**37)**(1\/9) assuming f is positive.\nAnswer: f**(1673\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-6)\/6) - -693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 106614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4 - 6230*k**3 + 6464658*k**2 - 2230290386*k - 4486489276 = 0.\nAnswer: -2, 1039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlth when four letters picked without replacement from hlhhhhlhlhotthl.\nAnswer: 8\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 13021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - o = 0, o - 5 = -2*i. Calculate the highest common divisor of 5 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 10\/6 - (-18)\/(-54)*-253?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 19*y - 3 = -3*d, -5*d = 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**2 + a**3 + 542*a - 544*a + 15*a**2 - 13 as v*a**2 + g + z*a**3 + o*a and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 2, r: 2, g: 2}. What is prob of picking 1 z and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 17*r**2 - 16*r - 33. Let q be t(18). Suppose -16 = -q*p - 13. Let n = -100 - -502\/5. Which is the closest to p? (a) -0.5 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -311\/7*a**3 + 0 + 367\/7*a**2 - 61\/7*a + 5\/7*a**4 = 0.\nAnswer: 0, 1\/5, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 12*o + 4. Suppose 105*z = 119*z + 112. Calculate r(z).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:43 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + 2*t)*(0*t**3 - 2*t**4 + 0*t**3) + (-2*t**4 + t - t)*(-2101*t - 1236*t + 701*t) + t**2 + 2*t**5 - t**2.\nAnswer: 5276*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5313.709 nanograms?\nAnswer: 0.000000005313709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1447 = -3*i - u, 3*u + 1936 = -i - 3*i. Let v = -12 - i. Suppose 6*m = 5*m + v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, 1 e, and 1 q when four letters picked without replacement from {j: 3, s: 4, x: 2, f: 1, q: 3, e: 4}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 510*d**3 + 19800*d**2.\nAnswer: 3*d**2*(d - 110)*(d - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -730193 not equal to -730194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4\/2 + 15*x**3\/2 + 189*x**2\/2 - 411*x\/2 + 105 = 0.\nAnswer: -7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1320\/35 - 2\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8330 + 8330 + 7*l. Let f(n) = 5*n. Calculate d(f(p)).\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 78*i + 236. Let f be w(-3). Suppose -4*j + 111 = -7*j. Let c = j - -45. Solve -f*h + 2 = c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -91*s + 75*s - 86. Is s bigger than 4100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -242\/91 - 517\/182. Which is the second biggest value? (a) -491 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)*1)\/sqrt(7))\/sqrt(4)*6.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1194700 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 139147321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -w + 6*i + 6, -w + i = -22. Suppose 5*v = -4*g + w, 2*g - 6*v + v + 2 = 0. Solve 4*b - g*x + 29 = x, 5*b = -3*x + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000618156 rounded to six dps?\nAnswer: -0.000618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4 - 15. Let f = 44 + x. Let y be 4*1 - (2 - 3). What is the greatest common factor of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -405. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1416624198 and 0.1.\nAnswer: 1416624198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334287 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {t: 1, y: 3, v: 5, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/120 + b**5\/15 + b**4\/3 + b**3\/2 + b**2 + 18. List the prime factors of o(-5).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -91. Let z be k\/85 + 0 + 13836\/17. What are the prime factors of (z\/(-385) - 4\/(-10))*-21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19497760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(19 + (-2120)\/112) - -6*2120\/909.\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (11*10\/(-30) + 4)*(4 - -17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 117 + 39 = 0. What is the closest to 0 in 0.3, o, 1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 - 14243*t**3 - 14386*t**3 + 43005*t**3 - 14378*t**3 - 52*t**2.\nAnswer: -2*t**3 - 36*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -455.6 + 461.6. Let f be 24\/22 - (-1 - -2). Sort 0.4, f, -4, s in ascending order.\nAnswer: -4, f, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*x**4 + x**2 + 53*x - 53607 wrt x.\nAnswer: 56*x**3 + 2*x + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123702 or 123917?\nAnswer: 123917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 22*i - 17*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4524933, -4524934, -4524935, -4524936, -4524937?\nAnswer: -4524938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40963 is divided by 40945.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166\/23 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169954605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-17 - -14) + 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29808)\/(-443808)*4\/(-6).\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3796*y + 2011893. Determine k(530).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -38498129\nAnswer: 38498128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 463330.6.\nAnswer: 92666.12","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -23331 + 163321\/7. Which is the second biggest value? (a) 542 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-10*((-3 - 13)\/(-80) + -13).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/214346725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**2\/l)*l*l*l**(3\/2)\/l*l*l**(-5\/3)*l\/l**(1\/10)*l assuming l is positive.\nAnswer: l**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*z - 243*z + 15844*z + 16583*z + 6089*z to the form u + o*z and give o.\nAnswer: 38237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -4*y - 4*c, -5*c + 15 = y. Suppose y*n - 20 = -4*n. Solve n*h = 18 - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 - 125\/(-15). Solve v = -v - u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 15701.\nAnswer: 7850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**26*o**(-15\/7))**(5\/2))**(-19) assuming o is positive.\nAnswer: o**(17385\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100420 + 175932. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10597 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x*x**(1\/3))*x)**(-28)*x**(-3\/4)\/(x\/((x*x*x**(1\/7))\/x)*x))**16 assuming x is positive.\nAnswer: x**(-6812\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let b(a) = 2*a - 5*a + 3 + 4*a. Let d(p) = -1. Let n(q) = u*d(q) + b(q). Let c(i) = 3*i**2. Determine c(n(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*f - 15, 4*k - 8 - 4 = 0. Solve -2*w = 3*v - 0*w - f, -5*v - w = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 59.65. Let x = i + -0.85. Which is smaller: 21 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n\/n**1)*n)))\/(n*n*n**(2\/23))*(n\/(n\/(((n\/(n**(-2\/5)*n))\/n)\/n)*n))**(27\/5))**(-2\/85) assuming n is positive.\nAnswer: n**(16246\/48875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + -5.2. Let r = u + 6.00000032. What is r rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2591 + 5183\/2. Determine z so that -s*z**4 - 1\/2*z**2 + 0*z + 0 - z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2. Let y(o) = 1220*o. Calculate n(y(v)).\nAnswer: -13395600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0620787893 rounded to 3 dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -699, -686, -657, -612, -551?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -1 - (-2)\/(-2). Let s(r) = r**2 - 2*r + 1. Let y be s(b). Let x = 8 - y. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1.9. Let v = -838 - -835. What is the nearest to 2\/5 in -0.2, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1*(-26)\/(-1). Suppose 177 = -31*n - 381. Let k = h + n. Solve -14 = r + s - k, 0 = 5*r + 3*s + 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13288594?\nAnswer: 2, 11, 17, 35531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25*1507\nAnswer: -37675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 14*l**3\/3 - 9*l**2\/2 + l + 2067. Let h(a) = -2*a. Determine r(h(s)).\nAnswer: 56*s**2 + 18*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29 + 14)*(2 - (-1)\/(-1)). Let q = 50 - h. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:53 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3447\/(-27))\/(((-80)\/(-24))\/(-10)). Solve -n = -y - 382 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/24 - w**3\/6 - 8*w**2. Let j be t(-5). Let k(b) = -b**3 + 5*b**2 - 2*b - 3. Let g be k(j). Solve -z = -6*z - g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**4 - 25*t**3 - 275*t**2 - 575*t - 330 = 0.\nAnswer: -3, -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*u**3 - 3*u**2 + 3*u**2 - 4*u**3.\nAnswer: 67*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/4, -2, 0.3, 11 in decreasing order.\nAnswer: 11, 0.3, 0, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4116.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37145 + -3?\nAnswer: -37148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19*(-20)\/190)\/1 + 36\/(-22). Determine a so that 2\/11 + 2\/11*a**2 - h*a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*r + 1371, 0*r = 2*r - 2*f - 546. Find the common denominator of (-20)\/(-30) - r\/(-30) and 2\/(-14) + (-261)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.77*0.0903546\nAnswer: -0.069573042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*22\/(-18) + (-8)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1820652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12562*q**3 - 4*q + 3*q + 12828*q**3.\nAnswer: 266*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117049 = -24937*f + 116653 + 898128 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -516255501 divided by -5\nAnswer: 516255501\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krkr when four letters picked without replacement from {r: 2, k: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26c (base 13) to base 5\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25581 + -25580.7. Which is greater: d or -4\/467?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = -c + 7, 5*c + 3*g = 50. Let y = 0 + 2. What is the third derivative of c*w**3 - w**6 - 10*w**3 + 5*w**y wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 + i + 1. Let j be k(1). Which is the closest to 0.1? (a) j (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -42248*y**2 - 52810*y. Let z(f) = f**2 + 2*f. Give -g(v) - 26405*z(v).\nAnswer: 15843*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10703016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**3\/6 - 5*h**2 + 2*h - 45. Give b(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 2*s. Give n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157392, 315453, 474182, 633579, 793644, 954377, 1115778?\n\"Answer: 334*z**2 + 157059*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82137905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/2 - 9*h**3\/2 - 48*h**2 - 90*h - 48.\nAnswer: 3*(h - 8)*(h + 1)*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*m = 2 + 10, 5*m = -2*a - 4. Suppose -a*x + 3 = -12. Suppose -4*n + 8 = p - x, 0 = -5*p - 3*n + 14. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, v: 16}. What is prob of picking 1 w and 2 v?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) 5365 (c) 0 (d) -1\/3 (e) 8 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*((-10)\/(-425))\/(8\/(-10)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3878 = 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 21*z**2 - 4*z - 8. Let u be b(-2). Let n = -63 + u. Let l = n - 17. What is the highest common factor of 44 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -v + 703, -6*v = -v - 4*s - 3510. Suppose -6*y + v = 146. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2483 - 2438. Suppose -2*l = -5*l - 5*g - 3, -l + 4*g = 1. What is the remainder when 135 - (2 + 0\/l) is divided by i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:47 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:56 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -2\/7, -3, 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22771 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -53929.85 - -38.6\nAnswer: -53891.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25557439 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2035 + 3537. List the prime factors of w.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(3\/35))**28*q*q*q**(-2)*q*q*q\/(q*((q\/(q\/(q\/(q**(-4)\/q))))\/q)\/q)*(q**(-1\/2))**(-6\/11) assuming q is positive.\nAnswer: q**(-211\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140297 - 140297 + 17*b**3.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m - 19307200 = 19*m. Round m to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 - 1311?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9)\/(10*(-24)\/(-3600)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let v(b) = -3 - 3*b**3 - 3*b**q - 2*b**2 + 2*b**3 + 9*b. Let l be v(-7). Solve 0 = -h + c + 3*c + 17, -4*c - l = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (209 - 216) + ((-3)\/2)\/(3\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 112, 5, 22, -9 in increasing order.\nAnswer: -32, -9, 5, 22, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23340743939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2. Let z(k) be the third derivative of -k**4\/8 - 43*k**2. Determine w(z(x)).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(147) + 3 + sqrt(3) + 2*sqrt(24)\/sqrt(8) - (-5 + -6*(-2 + sqrt(75)*-2 + sqrt(75))))**2.\nAnswer: 280*sqrt(3) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88663740 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 39209b6?\nAnswer: -39209a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -15. Let p = r + -5. Suppose 8*m - p*m = 230. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -574 - -7460\/13. Let g = -4 - -9. Put g, q, 0.5, 1\/5 in increasing order.\nAnswer: q, 1\/5, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10025 (base 14) to base 9\nAnswer: -57661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0068522847 to 4 dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -14388 <= -39989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10868 is divided by 598.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*w**2 + 21 - 21)*(-1 + 2*w + 1 - 4*w + 0*w + 3*w + (5*w + 0*w - 3*w)*(-3 + 5 - 3) + 5*w - 3*w - w - 8*w + 0*w - 6*w).\nAnswer: -392*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n - 10*n - 6*n + 70*n - 13*n - 12*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*d + 15*d - 297180. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by -1?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32636 divided by 25\nAnswer: -32636\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86140445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -473 + 888. Calculate the remainder when a is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 - 9*f**3 - 410*f**2.\nAnswer: 120*f**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y**2 + 0*y + 0*y**4 - 1\/3*y**3 - 3 + 1\/5*y**5. Let o(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5458 - 2918. Is v\/(-40)*-1*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163538.0217 rounded to the nearest one thousand?\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3273 divide 289631043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c = -82*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 3 = 16*v. Let j be v - ((-18)\/(-27))\/(4\/(-18)). Which is greater: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*k = 106, d + 0*d - 5*k = 146. Let j = d + -72. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 36\/306341?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 6*z + 3. Let q(l) = -3*l**2 - 7*l + 2. Let m(y) = 4*j(y) - 3*q(y). What is the lowest common multiple of 48 and m(4)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156366 divided by -511.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.534\nAnswer: -0.0534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.3*153008.\nAnswer: 2800046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-14*-4*(-6)\/(-168)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/3 + 5*m**2 - 8*m + 904. Determine d(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1 + 3\/(-3). Suppose -2*v = -10, 0 = x*h - v - 0*v - 3. Solve h*u - 20 = -4*t - 0*t, 7 = -4*t + 5*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 7. Let s(o) = 14*o. Let r be s(2). What is the highest common factor of r and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180575 is divided by 180270.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 537 - -380. Suppose -4*x + p = 3*y, -2*y = -0*y + 5*x - 609. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5121416?\nAnswer: 2, 89, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 882539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**(2\/11)*g)\/g)**(13\/3) assuming g is positive.\nAnswer: g**(260\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 66 + 86 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*d = 40, -3*m = -m - d - 13. Let z(s) = -s + 2 - m + 2. Let r be (-245)\/14 + (-1)\/2. Let c(h) = 3*h. Determine r*z(l) - 5*c(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 751927.86 microseconds?\nAnswer: 0.00000870286875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvn when four letters picked without replacement from {v: 3, m: 3, n: 1, p: 2, h: 1, s: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 + 0.13. Let o be 1\/((5 + -2)\/1). Which is the nearest to f? (a) -4 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*m + 956879 = 66*m. What are the prime factors of m?\nAnswer: 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.1066\nAnswer: 0.04264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(3\/(-2) + -2). Suppose 0 = 4*s + 2*m - h, 13 = 2*s + 4*m - 17. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 19\/16 (c) 3\/2083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*m - o + 13, 0 = 3*m - 5*o - 11. Suppose 6 = m*t - 0. Solve z - t*g = -7, -5*g = -3*z - 4 - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*s = -34, -2*a - s - 20 = -5*a. Suppose a = 3*w - 0. Let v be 3\/(7\/w - 2). Solve 3*d + 6 = 0, 0 = -3*x - v*d + 4 + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-16)*-22*-2. Suppose 29 = -5*a - 11. Let u = a - h. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224*v**3 + v**3 - 54 - 23 + 24 wrt v?\nAnswer: -669*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1056*u - 14. Let w(g) = 3170*g + 44. Give -6*w(r) - 19*x(r).\nAnswer: 1044*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 31967 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 6*a + 6*a - 3*a + (533 + 532 - 1055)*(-a + a + 2*a) to q + c*a and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268663397 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -719, -1252, -1901?\nAnswer: -2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2971 - 1982. Let b(y) = g - 5*y**2 - 989 + y + y**2. Determine b(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -165.4. Round v to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/15))**(1\/15) assuming w is positive.\nAnswer: w**(-1\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.121246, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -44184.4 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11017391 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78036727?\nAnswer: 78036727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c + 10. Let h(q) be the third derivative of 5*q**4\/24 - q**3\/2 + 55*q**2 + q. What is 3*g(a) + 10*h(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 2*w**2 + 2*w**3 + (-11*w**2 - 48*w**2 + 10*w**2)*(-2*w - w - w) - 3*w**3 - 2*w**3 + 3*w**3.\nAnswer: 196*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -584, -587, -592, -599, -608, -619, -632?\n\"Answer: -m**2 - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**3 - 5*a**3 - a**2 + 2 + 0*a**3 + 0 in the form u*a**2 + g + f*a + t*a**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96.168 + 114.4478. Let l = b - 18.3. What is l rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81531 is divided by 647.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 404348759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyyvheetyyhyhehey. Give prob of picking 1 e, 1 h, 1 t, and 1 y.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(6)\/(sqrt(3)*-2)) - -1*(5 + sqrt(304) - sqrt(304))) + 2 + 2.\nAnswer: -2*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -1)*(-10)\/6. Calculate the remainder when 64 is divided by 22\/n*(8 - 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -174. Which is the biggest value? (a) -5 (b) 2\/43 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-13)*(-4)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (31 - 3) - 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyeniiyyeeyynyn. Give prob of sequence nne.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9512.2535 rounded to the nearest one hundred?\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - c + 2*c + 11*c + 20, 0 = 73*o + 4*c + 304 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 12. Let r be m(16). Let i(b) = -b**2 - 3*b + 4. Let a(j) = j**2 + 3*j - 4. Let v(t) = -4*a(t) - 3*i(t). What is v(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 928831801 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -695, -5632, -19003, -45014, -87871, -151780, -240947?\n\"Answer: -701*m**3 - 11*m**2 + 3*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 9\/68?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10559, 21115, 31671?\n\"Answer: 10556*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven tenths of a litre in millilitres?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7310*v**3 + 27*v**2 + 42*v - 12. Is f(-2) a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 - 4*z - 3. Let y(b) = -8*b**2 - 9*b - 7. Let t(s) = -9*i(s) + 4*y(s). Find the first derivative of t(n) wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 7:36 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 181 divided by 86\nAnswer: 181\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314855558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1936))\/(sqrt(8) + (sqrt(56) + sqrt(56) + sqrt(224)\/sqrt(4))\/sqrt(7)).\nAnswer: -11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**3 - 8 + 8 + 4*p**3.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6549589.37 to the nearest 1000.\nAnswer: -6550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, -80\/7, -2, -14 in ascending order.\nAnswer: -14, -80\/7, -2, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37558 minus -32.4?\nAnswer: 37590.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179181 in -0.4, -6, -5, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -f - 30. Solve -3*w + 0*w = f*m, w + 24 = 5*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/120 - 503*p**4\/24 + 1007*p**3\/12 - 4*p**2 - 243*p - 3. Find l, given that y(l) = 0.\nAnswer: -1007, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 87803212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpppgpzgppppppppp. Give prob of picking 1 z and 2 g.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 + 30*l**4 - 55*l**3 + 30*l**2 = 0. What is l?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -75*u**2 - 2332*u - 168. Let c(f) = 220*f**2 + 7000*f + 500. Let x(i) = -8*b(i) - 3*c(i). Factor x(m).\nAnswer: -4*(m + 39)*(15*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 3*x. Let u(p) = -5*p**2 + 4*p. Let z(l) = 4*q(l) + 3*u(l). Let b(a) be the second derivative of a**3 + a**2\/2 - a - 324. Calculate z(b(s)).\nAnswer: 36*s**2 + 12*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 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: Let k = -9258 - -15009. What are the prime factors of k?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307778057 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-28)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 2, d: 1, v: 1, s: 2}. What is prob of sequence ee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxxxxxxb. What is prob of sequence xx?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + p. What is the smallest common multiple of u(2) and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (9 + (-128 + 124 - (-100 - 4)))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = q - 26 + 7, -2*q = -5*v + 14. Let w = -19 - -8. Let a = q - w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17921 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 9*z - 5. Let s be x(-4). Suppose -5*h - s = 0, 0*h = -y + 3*h + 11. Solve 3 = -y*g - g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/6 (b) -3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 + (-174)\/(-15). Solve 0*m - 4*d = -2*m + b, 5*m + 9 = -3*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-199)\/398*(-7)\/3*(-14)\/49.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2449\/158714 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i + 6. Is 3\/15 - (i + 11676\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, -52, -62 in increasing order.\nAnswer: -62, -52, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-45))\/(18\/135*-3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/14 and 91\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -386, -370, -336, -278, -190, -66, 100?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sudssds. Give prob of sequence ud.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44807 and 13321.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 + 3. Let u = q - -0.75. Let s = u - -3.15. Sort -8, 0.1, s in descending order.\nAnswer: s, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*k - 2567 = 2*z, 4*z + 4*k = 2588. Let u = -2601\/4 + z. Find the common denominator of u and 3\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 6*b - 207. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -4, 1\/6 in increasing order.\nAnswer: -41, -4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*o**4 - 109*o - 68*o**4 + 113*o + 21 wrt o?\nAnswer: -3012*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 257, 528, 815, 1124, 1461, 1832, 2243, 2700?\n\"Answer: w**3 + 2*w**2 + 258*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117419778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591245040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 4*n**2 - 13*n + 3. Let p be c(-6). What is the second derivative of -44*w + 9*w**3 + p*w + 0*w**2 + 0*w**2 wrt w?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6665290*q + 4900 = -6664940*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076 less than -124?\nAnswer: -124.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -27656319712.98.\nAnswer: 27656319721.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 2*y + 1. Let i(j) = -j**3 + 36*j**2 - 142*j - 15. Let z(h) = i(h) - 4*l(h). What is the units digit of z(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 133 = -4*q - 5, 0 = 3*p - 3*q - 120. Let t be (24\/p)\/((-4)\/42). Let y = t - -8. Does y = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 4*g - 1. List the prime factors of x(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15 + g - 2*g - 15. Let d be i(-2). Solve o = -5*n - 10, 3*n + 2*o + 6 = -d*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.5 - -28. What is the third biggest value in j, 1, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006718 - 0.2?\nAnswer: 1006717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Let m(p) = -51*p**3 + 2*p**2 + 6*p - 3. Let l(y) = 52*y**3 - 2*y**2 - 7*y + 2. Let k(h) = -2*l(h) - 3*m(h). Is k(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -105*g + 24. Let z be b(14). Let d = -903 - z. Round d to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -4562.424428774?\nAnswer: -4562.624428774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1964 and -1.38?\nAnswer: 2710.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(187)*2)\/(2*sqrt(176)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/8)\/(-3)*(-464)\/(-290).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 5*g - 39. Let c be 6\/4*4\/(-6). Calculate the common denominator of (c\/g)\/((-64)\/1464) and 97\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -97*(-4)\/4 - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10756004*y**6 + 44943643*y**2.\nAnswer: 1290720480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 4. Suppose 2*z - 2 = u. Let a = -1 + z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.36*-1\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 3*p - 9, -f + 6 = -2*p. Let d(s) = -5*s + f - 7*s + 1. What is d(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 274?\nAnswer: 3\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -16*t - 3*b + 206, -57*b + 47 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:56 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1372358534980007.01399973 + -1372358529101244. Let t = 5878818.014 - a. Let l = -55 + t. What is l rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/20 - 3*k**4\/2 - 8*k**3\/3 + 25*k**2\/2 + 33*k. Let x be d(-17). Solve x = -4*n - 0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/20*5\/(-3))\/(24\/196848)?\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/9))\/l**(-2))\/(l\/l**(-8)*l**(2\/11)*l))**(11\/8) assuming l is positive.\nAnswer: l**(-733\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46944, -57510, -68076?\nAnswer: -78642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 399. Is (-80)\/60 - n\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/324226 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -32*p**3 - 212*p**2 - 180*p = 0.\nAnswer: -45\/8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 - 19197*w**4 + 80406240*w**3 + 115922348800*w**2 = 0. Calculate w.\nAnswer: -1123, 0, 10160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 699, 580, 439, 270, 67?\n\"Answer: -t**3 - 5*t**2 - 97*t + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3261500 - 3?\nAnswer: 3261464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, v: 1, j: 2, k: 1, a: 1}. Give prob of sequence ha.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2846162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 666*k**2 + 1440*k - 69396. What is h(668)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.003206 + -7151.203206. What is d rounded to the nearest one hundred?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17232 and 181.603.\nAnswer: 17413.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)\/(p*p*p**(-1\/3)*p)*(p**5\/p)\/p**4 assuming p is positive.\nAnswer: p**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, t: 2, n: 9, o: 1}. Give prob of picking 2 n, 1 t, and 1 o.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 2*h - 64. Let m be s(7). Is (-17 + 16)\/(m\/7737) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnccccccckkncnc. What is prob of sequence kc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 10*t - 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 41*u - 152. What is o in 4\/3 - 1\/3*o**u - 4\/3*o**3 - o**2 + 4\/3*o = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 72*v**3 - 261*v**2 + 2100*v - 1764.\nAnswer: -3*(v - 3)*(v - 1)*(v + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:51 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266 + -169. Suppose -2*k = -4*g + 60, -k - 8 = 5*g - v. Solve -1 + g = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 501, -1, 5, 11, 1, 2 in descending order.\nAnswer: 501, 11, 5, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000180316 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -1, 2\/9, -0.4 in descending order.\nAnswer: 5\/6, 2\/9, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Let r(v) = -v**3 + 3*v**2 + 4*v + 5. Let f be r(q). Suppose -5 = f*s - 40. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 660?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37c1 + -56?\nAnswer: 376b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 85?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 183620 to the nearest one thousand.\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.40158*0.2.\nAnswer: 0.080316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/(-66) - (-4)\/(-22). Let r be t*(0 - -1) + (21 - 7). Calculate the remainder when 85 is divided by (33\/r)\/(1\/10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/210*-14 + 1935\/175. Factor r*v + 20\/7 - 16\/7*v**2.\nAnswer: -4*(v - 5)*(4*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, and 1 u when three letters picked without replacement from {u: 1, j: 1, b: 3, f: 5, i: 4, w: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*o**4*p**3 + 20*o**4*p**2 + 3*o*p**3 + o*p**2 - 16*p**3 wrt o.\nAnswer: -120*o**2*p**3 + 240*o**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477686 divided by -1159.\nAnswer: -477686\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*o**3 + 148*o**3 - 298*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1221211 (base 3) to base 15\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -3 + -3 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-30))\/(24\/(-100)) - -3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/9964 and -15\/38.\nAnswer: 189316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -13.99999864. Round n to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 18 + 4*v + 3*v - 4*v to the form r*v + o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 97.3.\nAnswer: 97.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78186?\nAnswer: 2, 3, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13860823 is divided by 4620239?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 4*f - 8. Let q be x(4). Let l = q - -22. Calculate the remainder when 65 - ((-5)\/(-5) - l) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/((-24)\/68*(-2)\/6). Let u = 339 - p. Is u at least 24\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-330 + 27 - 38)*(d + 4 - 4).\nAnswer: -341*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -804 + 801. Which is the closest to 0? (a) -0.74 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 473 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 74. Solve -n - n - 17 = 5*t, 10 = -a*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 2*l = 117. Solve -3*y - l + 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720 divided by 72.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/420 + q**4\/21 + 70*q**2. Determine k so that f(k) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -190*22\/(-385)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1) + -1 + 7. Suppose v*k - 25 = -k. Suppose 17 = 2*j - j - k*x, -2*x - 32 = -4*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 14 + 14)*(0 + 0 + 3)*(-f**4 + f**4 - 2*f**4) to the form q*f**3 + c*f**2 + t*f + h + n*f**4 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 475 = -475. Suppose -2*h + g*h = -i + 138, -4*i + 5*h = -558. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 0.1695381681015.\nAnswer: 0.0695381681015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 3. Suppose -76 = 2*w + 2*w + 4*a, a + 3 = 0. Let j = 587 - 608. Let p = j - w. What is v(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4484 and 1844.\nAnswer: 2067124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 1, j: 3, i: 1, v: 5}. Give prob of sequence kwv.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqxmrmmmqxqqm. Give prob of sequence xx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 991691893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -188 - -191. What is the greatest common factor of b and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316 divided by -1?\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 0*z**5 + 10*z**2 - 12*z**2 + (-2*z**3 + 4*z**3 - z**3)*(0*z - z**2 + 0*z).\nAnswer: -2*z**5 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1872)\/224 + 40\/(-35).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 12*u**2 - 14*u + 15. Calculate the remainder when i(10) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 28 = -4*z, -5*z = 3*k - 17 - 12. Let r(w) = -18*w**2 - 4*w - 2 + k + 19*w**2. Let i = -145 + 150. Calculate r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/k*k*k\/(k*(k\/k**(-3\/2)*k)\/k)*k*k)**6 assuming k is positive.\nAnswer: k**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/(1*1\/(-665)). Let a = y + 735. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = -q - 3, -4*h = q + 7. Suppose u = -5*v + 3, -5*u + 0*u + 15 = 3*v. Let y be 4\/(-64)*-4*v. Solve y*g - 2*t = g, -4*t = q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 9) to base 2\nAnswer: 110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - q + 1, 20*v - 17*v - q = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/4 - 11*q**3\/3 - 10*q**2 + 2*q + 10394. Give u(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxwwwttxxxxss. What is prob of picking 1 t and 3 x?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*c, 2*g - 4961 - 8533 = -4*c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2474.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/(-230)*1\/5. Let g = -81\/506 + w. Sort g, 4\/7, -2.\nAnswer: -2, g, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-150)\/14 - 14\/49. Let f(p) = -5680*p**2 + 7*p - 15. Let c be f(y). Let u = -352628 + c. Round u to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 38, 9, -36, -103, -198, -327, -496?\n\"Answer: -z**3 + z**2 - 15*z + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 5. Let x be r(8). Let q be -899 + (x + -1)\/4. What is the units digit of q\/(-48) + 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 + 0.02. Let g = -0.2 + f. Let c = 0.2 - 0.1. Sort c, g, -3\/4.\nAnswer: -3\/4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (1 + -1 + -5 + sqrt(153)*1 + sqrt(153))*6*2)*-3)**2.\nAnswer: -79056*sqrt(17) + 826641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61987 and 0.4?\nAnswer: -24794.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -291 and -35.14?\nAnswer: 255.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 - 195 = -99*p + 98 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 0. Let d = h + 3. Suppose -g + d*g = 8. Sort g, 0.1, 2 in descending order.\nAnswer: g, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*l - 228 = 127*l. Let a = l - 71. Solve c - a*d + 20 = -2*d, -4*c = d + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnyypxxsswps. Give prob of picking 1 w and 3 s.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44457?\nAnswer: 3, 7, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 13*i**2 - 4*i + 7. What is the hundreds digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 15 + 15. Suppose -q - 2 = -2*q. Let x(l) = q*l + 0 + 0. Determine c(x(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 13*a**2 + 22*a - 74. What is the hundreds digit of s(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70) - sqrt(70))*-6)\/(sqrt(10) + (1*sqrt(80))\/sqrt(8) + sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 73 = -4*m, -c - 4*c = -m + 4. Let v = m + -13. Let q(a) = 3 - v + 3 - 2*a. Let g(n) = -2*n. Calculate q(g(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {g: 10, m: 1, b: 8}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 - -264. Let l be (a\/14)\/(2 - 3). Factor -6\/5*p**3 - 4\/5*p**2 + l + 0*p + 0*p**4 + 2\/5*p**5.\nAnswer: 2*p**2*(p - 2)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 109600.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 3*c**4 - 72*c**3 - 2*c - 2 + 75*c**3 - c**2 to the form m*c + f + j*c**4 + s*c**3 + y*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1925015695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/125)\/((-6)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634105507, -634105508, -634105509, -634105510?\nAnswer: -634105511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10581, 21164, 31747, 42330, 52913?\nAnswer: 63496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, -4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48490 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5 + sqrt(325)*2 + -5)*-1)**2.\nAnswer: -260*sqrt(13) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42095*a - 235471 = -44932*a for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwqqyyyqwyyy. Give prob of picking 1 y and 1 w.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064.758 centuries in years?\nAnswer: 306475.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -265*j + 8*j**2 + 3*j**3 - 8*j**4 - j**3 + 263*j.\nAnswer: -2*j*(j - 1)*(j + 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - (-354)\/14. Suppose 2*r - 4*g = 0, -2*g + 3 = 5*r - 21. Solve 0 = -d + 5*d + 2*t + 20, 0 = -5*d + r*t - k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 18*s - 75. Calculate u(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28536156 and 18?\nAnswer: 28536156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*s + 66 + 123, -m - 5*s + 75 = 0. Let c be (3*1)\/(18\/m). Are c and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 5. Suppose 0 = -n*z - 4*w - 5, 4*w + 18 = 3*z - 11. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4034338 divided by -5159\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 2. Let v be b(7). Suppose -u = -v*y - 0*y - 118, -4*u + 3*y = -489. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6310.\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 64?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13*d. Let v(b) = -1543*b. Give y(v(w)).\nAnswer: 20059*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyyggcgnddny. What is prob of picking 1 g, 2 n, and 1 y?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + 5\/10. Let h be ((-1 - -2) + -1)\/c. Is 6\/11 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133.501646 - -2.498247. Let i = d - 136. Round i to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/((-3612)\/(-72))*7\/((-1)\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 670 + 12*t**3 - 2*t**2 + t**2 - 668 as y + w*t**2 + n*t**3 + i*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4720\/8167 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -1. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 18*n**2 - 36*n - 405. Calculate y(-17).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 166.84524 minutes?\nAnswer: 2.780754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1046 or -1049?\nAnswer: -1049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16566979, 16566977, 16566975, 16566973, 16566971?\n\"Answer: -2*l + 16566981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64528, 129049, 193572, 258097?\n\"Answer: t**2 + 64518*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 4*o - 1. Let m be g(3). Suppose -m*u + 1202 = -x, 4*u - 942 = -5*x + 8. Suppose 2*n - 4*i = u, 3*n + 4*i = -n + 468. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -555 - -557. Which is the second smallest value? (a) g (b) 0.05 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -218988697.\nAnswer: -218988672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 3609*l - 3606.\nAnswer: -3*(l + 1)*(l + 1202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -285280*i. Let r(u) = 2*u. What is r(m(w))?\nAnswer: -570560*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -758a8 (base 13) in base 16?\nAnswer: -33db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 3, 1722, 5, -2 in ascending order.\nAnswer: -8, -2, 1, 3, 5, 1722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 16*m - 25*m**3 + 3*m**3 + 9*m + 2*m to the form u*m**3 + q + x*m**2 + f*m and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29115 (b) 0.4 (c) -0.37 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 97*b + 174. What is n(-42)?\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1516, 1515, 1522, 1543, 1584?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85074318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttmqfguuqffqumuut. What is prob of picking 3 t and 1 m?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 3*z**2 - 3*z - 1. Let p be o(-1). Suppose -2*u = 2 - 14. Suppose 5*k = 4*a - 15, 3*k + p - u = a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 - 4*o**2 + 6*o - 2. Let d(s) = 3*s**3 - 3*s**2 + 5*s - 2. What is 6*d(h) - 5*f(h)?\nAnswer: 3*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 37. Let r be g(-23). List the prime factors of (-372)\/r*(9 - 6 - -4).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -23*v + 211. Solve 3*z - 2*j + v = 0, -z + 9 = 5*j - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 3. Let p = -9 + 8. Let t be w(p). Let y(z) = -z - z**2 + t*z - 5*z. Let n(r) = 17*r. What is y(n(h))?\nAnswer: -289*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0 - 1\/6*r**4 + 0*r**5 - 1\/112*r**8 + 0*r**3 - 4*r**2 + 0*r**6 + 0*r**7 + 0*r. Find the second derivative of i(x) wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**6\/30 - y**5\/2 - 13*y**4\/12 + 11*y**3\/3 - 404*y. Find v, given that m(v) = 0.\nAnswer: -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 - 3*s. Let y(p) be the first derivative of 5*p**3\/3 + 2*p**2 + 5. Give -4*b(l) - 3*y(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 31*b**2 + 25. Let l be k(-31). Put 2, 4, -1, l in increasing order.\nAnswer: -1, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j - 181*j - 6*j + 1025 = 6565 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72058901*y**4 - 209098879 wrt y?\nAnswer: 288235604*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*z - 16, 6*m - 47 = -5*z + 9*m. Suppose 2*p + 4*l = 92, 2*p + l = 2*l + 102. What is the highest common divisor of z and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*i**3*w - i*w**3 + 57*w**3 - 2*w with respect to i.\nAnswer: -267*i**2*w - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 37. Suppose 4*i = 3*y, i - g + 0 = -4*y. What is the third derivative of -18 - i*l**4 - 5*l**2 + 18 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*t**2 + 6524*b**3*w - 24*b**2*t**2*w - 3*b**2*t**2 - b**2 - 2*b*t*w + 9*b*w wrt b.\nAnswer: -6*t**2 + 39144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5401 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57945529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -0.0259.\nAnswer: 0.8547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -15*i**2 - 545*i - 180 = 0?\nAnswer: -36, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.48 + 0.479501. Round d to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjja when four letters picked without replacement from ajajaapajajaapjjahj?\nAnswer: 105\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 790 + -784. Let y be ((-16)\/q)\/2*(-195)\/10. What is the greatest common divisor of y and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*r = -r + 4, -2*f - 4*r + 8 = 0. Suppose -5*k - 7*g + 4*g + 1490 = 0, 5*k - f*g - 1455 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12400 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61070 is divided by 6203.\nAnswer: 5243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 - 11 = 0. Suppose -2*d + m = -2 - 1, 2*m + o = 2*d. Sort -2, d, -3 in increasing order.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02673 rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5716788559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 6)*3\/(-4). Let q be (-5)\/(-3)*(l - -6). Suppose 5*m - 554 = -n, 133 = 3*m + q*n - 217. What is m rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6227 or 31142\/5?\nAnswer: 6227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*l, -5*q = -0*l - 4*l + 36. Let f = 3 - 4. Let x(k) = 3*k. Let n(s) = s. Calculate f*x(g) + l*n(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 171857?\nAnswer: 17185.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14636 divided by 485\nAnswer: -14636\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -15*o + 564. Let a = 59 - o. Suppose -5*s - a = -42. Sort s, -4, -5 in descending order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.357 and 12?\nAnswer: -52.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwifiisitdfi. Give prob of sequence iti.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5446\/3 - -1831. Let a = c - 15. What is the nearest to 2\/7 in 4, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -97. Let v(m) = 6*m**2. Let w = -328 + 331. Let o(p) = -6*p**2. Calculate u*v(t) + w*o(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 7304 - 2315 + 0*g**3 - 4*g**3 + 3*g**3.\nAnswer: g**3 + 4989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587960 is divided by 146416?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 54*l**2 + 20*l**2 + l**3.\nAnswer: l**3 - 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and 0.1112.\nAnswer: 7.4504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 + 5*m**2\/2 + m + 4. Suppose 2*a + 6 + 10 = 0. Let f = a + 12. Calculate w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/((-19)\/266)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4043 divided by -4043\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 3}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-90) - ((-58)\/18 + 0). Suppose 5*m - 15 = 0, 87 = 4*s - g*m - 48. Calculate the remainder when 103 is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -1, -17, -39, -67, -101, -141?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 7. Let i(l) = 19*l**2 + 36*l + 2. Let n be i(-2). What is q(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009970712518 to six dps.\nAnswer: -0.009971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 28*j + 16. Let s be g(8). Suppose s = 7*w - w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/(-2) - 1\/(-2). Let w be (-9)\/110 + s\/(-44). What is the biggest value in -6, 5\/3, w?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110011 - 11110101100?\nAnswer: -10101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111100 - -101011?\nAnswer: 10100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8054*-1.\nAnswer: 0.8054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 + 10*k - 14. Determine y(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 221759 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from qjrcs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) - 95\/(-25). Determine b, given that -2*b**5 - h*b**2 + 2*b**4 + 4*b**4 + 2*b - 2*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37838390771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Does 11 divide (-3 - -2 - -22) + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = -2. What is the smallest common multiple of 7 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*w + 56 = 6*u, 2*u - 3*w - 38 = 0. Let t = u - 4. Calculate the highest common divisor of 96 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*j = -3*j + 17, q - 7 = -2*j. Let i = q - -18. Calculate the least common multiple of 18 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 17*g - 36. Let s be j(-11). Suppose -3*w - 2*w = 4*o - 3, -5*o = -5*w + s. Differentiate -6*x**w + 0*x**3 + 3*x**3 - 14 wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 205 - 222 + 446.\nAnswer: 3*s**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 10695.\nAnswer: 4\/2139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 55. Let z = 11 + j. Put -0.4, 2\/5, z in descending order.\nAnswer: 2\/5, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 73.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*p + 23256 = 3094 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1. Let t(k) = k. Give -3*g(p) - 4*t(p).\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -105*s**3 - 89*s**2 - 23*s - 142. Let y(g) = 37*g**3 + 30*g**2 + 8*g + 47. Let u(i) = 6*j(i) + 17*y(i). Give u(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 811302136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 16 = 5*l, 6*d = 2*l + 7*d - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-1\/5))\/b)*b*b\/b**(-14))**(-6) assuming b is positive.\nAnswer: b**(-516\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 24*z - 500. Let h(f) = 643*f**2 + 2*f - 1. Calculate o(h(q)).\nAnswer: 15432*q**2 + 48*q - 524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 35583 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 greater than 336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3 - (-3)\/9*4. Suppose -4*j = -3*q - 37, b = 4*j + 5*q - 66 - 11. Suppose -j*w + 14501 = 4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2976 times -64\nAnswer: 190464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1586, -3461, -5910, -9221, -13682?\n\"Answer: -48*v**3 + v**2 - 1542*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -1225*h**2\/3 + 280*h\/3 - 16\/3 = 0?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5.2, -40, -364?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -386 + 924. Let c = -538.00000246 + d. What is c rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Suppose -2*y = -q*f + 78, -4*y - 54 = -2*f - 0*f. Suppose -f + 2 = -3*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + d**2 - 1)*(-15*d - 3*d - 5*d) + 0*d**3 - d**3 - d**3 as w*d**3 + k*d**2 + i + n*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025697 rounded to five decimal places?\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 151?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13070)\/30)\/(1\/(-6)). Let w = g + -921. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/9? (a) 3 (b) -2\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lylsyyyyllyslly. What is prob of sequence sll?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1695\/(-12))\/((-35)\/28) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -436440.\nAnswer: -436440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:36 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1611*u - 107. What is the units digit of v(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 2\/41, 3\/4, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2202847 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 365 and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 1) + 4970\/(-639)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*s - 13. Suppose -z - 2*z = -27. Let a = s + z. Calculate the greatest common divisor of 120 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/342984 and 73\/1848.\nAnswer: 26409768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13427165.\nAnswer: 5, 71, 109, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*g**3 + 241*g**3 - 484*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6326*d + 6638*d - 11856*d.\nAnswer: 1108*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 18. What is m(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**3\/6 + 9*w**2 + 46*w. Let s(f) = -2*f**2. Determine s(n(x)).\nAnswer: -2*x**2 - 72*x - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-1)\/(1\/(-2)). Suppose 0 = -5*a - 2*z + v*z + 13, z = 2*a - 5. What is the remainder when 8 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -47*d**2. Let u(b) = 16*b. Calculate p(u(w)).\nAnswer: -12032*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + z - 2*z - 5*z to r*z + v and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 + 2*h**2 + 2*h + 1. Let n be i(-1). Let s be n + (-3 - 0 - -3). Let u be (-3299998)\/11 + s\/33. What is u rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4358156 is divided by 1943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12310134 (base 5) to base 10\nAnswer: 119419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -44. Let r = 4.7 - 5. Let d = -0.5 - r. Which is the nearest to o? (a) 0.3 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - t)*(-2 - 11*t + 3 + 0 + (-1 + 2 + 0)*(-40 + 22*t + 40) + 3*t - 2*t - 3*t) to the form m*t + a*t**2 + q and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 26 = -4*f, 3*o + 1 = 2*o. Let j = 6 - f. Let y be -1*(-1 + 4 - 5). Solve 2*p + y*x - 4 = -j*x, 0 = -5*p + 3*x + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.2, 32925, 1, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*h + 283*h - 140*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - w. Suppose -2*u + 7*u - 105 = w. Does 28 divide (-390)\/(-7) + (-3)\/(u\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 2*k**2 - 3. Let v(x) = -31*x**2 - 3*x - 3. Let h(u) = -56*u**2 - 5*u - 5. Let y(g) = 3*h(g) - 5*v(g). Give y(d(n)).\nAnswer: -208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -164860.025 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/20 - 13\/(-4). Suppose -4*c = -x*c + 5*z + 2, 5*c - 16 = z. Suppose c*y - 2*y - 16 = 0. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121435 - 12?\nAnswer: -121450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 - 3*w**5 + w**5 + (-w - w + 4*w)*(-13*w**4 + 7*w**4 + 7*w**4).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -5*m + 20. Let x(s) = -32*s + 2. Let c be x(-2). What is the units digit of 1 + 3 + m + c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 10424*n - 10420.\nAnswer: -4*(n + 1)*(n + 2605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -311.9 and -0.05.\nAnswer: -311.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v**2 - v**2 + 8*v**2 + 46*v**2 - 4*v**2.\nAnswer: 89*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 38 - 394 = 0. Let x(u) = 3*u - 80. Let i be x(16). Let c = i + 50. Calculate the highest common factor of c and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(80)\/sqrt(2)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let n(m) = 7*m + 8. Determine p(n(w)).\nAnswer: -14*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2 + 4)*(-2 + 3 - 2) + 3198 + 2025 - 1769)*(6*p**3 - 11*p**3 + 4*p**3 - 2) to t + d*p**2 + h*p**3 + w*p and give t.\nAnswer: -6904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 7*y + 92 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -734281 - -734512.0222. Let b = g + -0.0222. Let y = b - 230.99674. Round y to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4048*t. Let n(r) = 2107*r**2. Give n(o(i)).\nAnswer: 34525942528*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/210 - (-13)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.8 - 2.9. Let f = 3 - w. Suppose 2026 + 2437 = 2186*o - 180 + 271. Which is the closest to o? (a) -1\/4 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = -0. Let i be (-2)\/(-8) - 164\/16. Let l be ((-4)\/i)\/(4\/(-20)). Is l at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3168.299 + 3167. Let a = h - 0.001. Let j = 3.3 + a. What is the second biggest value in -3, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477715708 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 + -106. Suppose g - 2 = -1, 29 = w - k*g. What is the remainder when (-90 + 0)\/(-1) + 1 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-36)\/16 + 4)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16972208 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 2. Put -4, -3, c in increasing order.\nAnswer: c, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6752 is divided by 669?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.7489 - 1.8809. Let x = f - 62. Round x to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24644 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9\/((v*v**(1\/8))\/v)*(v\/((v\/v**(2\/7))\/v))**3 assuming v is positive.\nAnswer: v**(713\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 319530660*p + 25524960670008900 = 0.\nAnswer: 159765330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10484 is divided by 318.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/4 - 15*n**3\/2 + 99*n**2\/4 - 30*n + 12.\nAnswer: 3*(n - 4)**2*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -173 - 86*r - r**2 - 174 + 347 as f + c*r + n*r**2 and give c.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 + 29*p**3\/2 + p**2\/2 - 29*p\/2.\nAnswer: -p*(p - 29)*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f - 2. Let t = 11 + -9. Let s = 8 + -3. Let l(k) = -2*k + 1. Calculate s*l(q) + t*u(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371836801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 395312497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 13*b - 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148862 + 148862.62271. Round o to two decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854132429 plus -415.537?\nAnswer: 854132013.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 2*g**5\/15 + g**4\/2 + 4*g**3\/9 - 122. Factor a(w).\nAnswer: 2*w**2*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9785)\/(-55) + 1\/11 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4831 - 4830.96. Sort -48, i, -1\/3.\nAnswer: -48, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(6\/(-16)) + -3. Suppose 0 = -u*r - 25, o - 2*r = 6 + 8. Suppose -5*k = 2*d - 59, 2*d - o*k - 38 = -2*k. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 16 = 114. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let l = -35264 + 35340. What is the remainder when l is divided by h(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 3. Let d(c) = -c**3 + 7*c**2 - 6*c + 2. Let a be d(6). Let v(y) = 2 - 4 + a + y. Let l = -156 - -150. Calculate l*v(p) - k(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + 0 - 1 - 6 - 12*a**4 wrt a.\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -18a5?\nAnswer: -18a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -29*d**4\/3 + 700*d**3\/9 - 16*d**2\/3 - 2314*d. Factor v(k).\nAnswer: -4*(k - 4)*(87*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 7:53 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/147 - 2) + (-198)\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.409205 decades?\nAnswer: 0.1409205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 3*i**2 - 2*i - 3. Give o(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a + 7*a + 17*a + 4*a + 0*a + 84*a.\nAnswer: 137*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 9*b**2 - 9*b - 24. Let n be c(7). Solve n*g - 40 = 21*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 - 5 - 36*y**3.\nAnswer: -36*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3331 - 190764 = 0. Suppose -a + 3 = 0, 2*x + 5*a - z = x. Suppose 0 = -2*t - x - 17996. What is t rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*j**2*m**2*s - 3*j**2*m*s - 3*j*m + 3*j + 3*m**4*s - 3*m*s wrt m.\nAnswer: -88*j**2*s + 36*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16724 - 16735. Put 43, v, 1 in ascending order.\nAnswer: v, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*o - 7 = -393*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 5*c**3\/3 + 15*c**2\/2 - 21. What is the second derivative of u(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1116.2 + 4557367\nAnswer: 4556250.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 601, 3 in decreasing order.\nAnswer: 601, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10820723*z**3 + 1071*z**2 - 2*z?\nAnswer: 64924338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -5.6. Let t = i + 4.85. Round t to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (8295\/(-63) + 4\/(-12))*-78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1*2)\/(-2). Suppose 0*i = 2*i - 4*o - 12, n = -3*o. Suppose -44 = -24*r + 13*r. Calculate the remainder when i is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, and 1 x when three letters picked without replacement from {r: 1, x: 1, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*g - 5, 2*g + 0*x - 15 = 3*x. Let q = -390401\/817765 - -6\/12581. Let o = q + 2\/5. Which is greater: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36257280 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 60. Let g = -29 - -100. Let s = 70 - g. Is s equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 + 10 = 0. Suppose -c - 25 = -6*c. Let o = c + 4. Calculate the remainder when o is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 5, m: 1, i: 3, b: 2}. What is prob of picking 1 b and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3668 - -10758. Let c = z - 4966. Let i = -755 + c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23044 (base 5) in base 16?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h + 110139 - 144422 = 271141. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 199?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13106, -13522, -13938, -14354?\nAnswer: -14770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -38*d + 77. Is p(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 50 = 2. Let y = -0.18 - 0.02. Which is the fourth biggest value? (a) k (b) -2\/7 (c) y (d) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 - 32\/(-14). Let p be (1740\/d)\/((-3)\/(-2)). Suppose 4*g = 20, p = 5*a - 7*g + 2*g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 11 = -76 + 24. Put -13, -1, b, 2, 4 in increasing order.\nAnswer: -13, b, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9178684 - -795.0893116. Let p = -796 + x. What is p rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/8)\/(3\/10). Let o = -1 + 2. Let n = g - o. Let f(j) = -2*j + 1. Let r(i) = -i. Calculate n*r(z) - f(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -590*r**3 + 18*r**2 - 10*r - 2. Let o(f) = -147*f**3 + 4*f**2 - 2*f. Give 9*o(u) - 2*q(u).\nAnswer: -143*u**3 + 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 4, p: 5, y: 1}?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.40147 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9824 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -24761 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -224 - -5?\nAnswer: -21f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3168*m + 6354*m - 18*m**3 - 3186*m + 2*m**3.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa + 18?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b5 (base 14) to base 12\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(4) + sqrt(252)\/sqrt(7)))\/(sqrt(18)*1*3))**2.\nAnswer: 11\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let l(c) be the first derivative of -35*c**2\/2 - 25*c - 659. Suppose 2*w - 1 = 1. Give w*l(v) + 25*t(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-3\/7))\/(z\/(z\/(z**5\/z))))**38\/(z**(-4\/9)\/z*z\/((z*z**(-1\/2))\/z)*(z*z**(1\/2))\/(z\/(z\/(z\/z**(1\/2)*z))*z*z)) assuming z is positive.\nAnswer: z**(-12067\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69.21257 - 69.2. What is o rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26245, -26217, -26171, -26107?\n\"Answer: 9*b**2 + b - 26255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:29 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/60997398 and -17\/5082.\nAnswer: 670971378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4540454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -171, -256, -341, -426?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710138 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 1. Let u = 0 - x. Let z = 9397\/6 - 1566. Put 0, u, z in decreasing order.\nAnswer: u, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 960294471, 960294469, 960294467, 960294465?\n\"Answer: -2*t + 960294473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4\/7)*o*((o*o*o**(3\/4)*o)\/o)\/o*(o\/(o**(-4)\/o))\/o**(2\/19))\/(o\/(o\/o**(-2\/5))*o*o**4\/o)**(-1\/9) assuming o is positive.\nAnswer: o**(25199\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1135 + -1652. Let o be 8\/21 - (-7 - w\/77). Which is greater: o or 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*a + 3*c, -2*c = 733*a - 734*a + 15 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5372 and 5644?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/(-6150))\/((-1*3*(-7)\/63)\/(-1)).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1782110 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 18a?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 - 485*s - 361. Determine k(-96).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 994056036 to the power of 1\/3, to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 + u**2 - u - 1. Let t be v(-1). Let x(y) = 10*y - t*y + 8*y. Let k(w) = -w. Give x(k(d)).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59833037 is divided by 3999?\nAnswer: 3998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -671, -1006?\nAnswer: -1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + a + 7 = -0*a, g - a = -1. Suppose -g*h = -0*h - 230. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/3 - 4*j**3\/3 - 6*j**2 + 10*j - 4. Let u(h) be the first derivative of t(h). Factor u(v).\nAnswer: 4*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3305*r**3 - 1282*r**3 + 3178*r**3 + 823*r**3.\nAnswer: 6024*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-141)\/(126900\/6960))\/(2\/(-15))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/21)\/((-704)\/48)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 18*t**4 + 450*t**3 + 2578*t**2 - 2938*t + 676 = 0.\nAnswer: -13, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1044 + -13571\/13. Which is the nearest to 1\/4? (a) 1\/3 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3274 is divided by 359.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2506*b + 4949. What is i(2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6768, -2986, 796, 4578, 8360, 12142?\n\"Answer: 3782*m - 10550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 8*n**4 + 2*n**3 - n + 7180 - 7178 to a + r*n**2 + z*n**4 + l*n + p*n**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13636 + 1715 - 10672 + 2853 + 723)*(5*m**4 - 3*m**4 - 3*m**4) as t*m**2 + u*m**3 + i*m + p*m**4 + h and give p.\nAnswer: 19017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-26)*2\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(294) - sqrt(72)\/(sqrt(36)\/sqrt(3)))\/(sqrt(10)\/(sqrt(10)\/sqrt(2)*3)).\nAnswer: -45*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (8 - -1)) + 1 - (-5 - 17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296647598 to the power of 1\/3, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522005007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 8*v**2 - 4*v**2 + 1 - v**3. Suppose 2603 - 2609 = -6*f. Let x(a) = -10*a**3 + 6*a**2 + 6. What is f*x(r) - 6*t(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(((-18)\/(-8))\/3). Let b(y) be the first derivative of 1\/3*y**3 + 0*y - 7 - y**2. Give b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2 - 4. Let t = 2 + o. Suppose 2*a - 5*a + 24 = t. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. What is m(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**24*x**(2\/33)*x*x**0 assuming x is positive.\nAnswer: x**(-617\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-174)\/(-1914))\/((-1)\/(-22))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -96?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f*f**(-12)*f*f*(f**(2\/11))**(15\/2) assuming f is positive.\nAnswer: f**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 - (-8)\/20. Let j be (0 + -21 + r)\/(666\/(-2072)). Let j + 1\/3*q**2 + 28\/3*q = 0. What is q?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r*((r\/((r\/((r\/r**(-4)*r)\/r))\/r))\/r*r)\/r))*r*r)\/r**(2\/5) assuming r is positive.\nAnswer: r**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 5467?\nAnswer: 54670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407271777?\nAnswer: 29, 977, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - 267371.\nAnswer: -267370.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 25, 64, 119, 190, 277, 380?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**2 - 19779220*a - 217570815 = 0.\nAnswer: -3955833, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {w: 3, o: 2, s: 13, j: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/10995 and -61\/27.\nAnswer: 98955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4885.45 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 14. Let c be y(3). Let g be 10*((-10)\/25)\/c - -13. What is the highest common divisor of 68 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 2, a: 2, m: 1, c: 1, e: 2}. Give prob of picking 1 w, 1 m, and 1 c.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/17))\/(f*f**2))\/(f\/f**(-2)*f)**(-3\/25))\/(f**(4\/5)\/(f*f*f**(-1\/4)))**(-14) assuming f is positive.\nAnswer: f**(-12697\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**2\/2 - 5*u + 29. Calculate s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*p**3*v**2 - 2441*p**3 - 34*p**2*v**2 wrt v?\nAnswer: -88*p**3*v - 68*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - 1. Let o be l(-1). Suppose -o*d = -d - 108. Does 8 divide (6\/8)\/(3\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/4 + 2*q**3 - q**2\/2 + 4. Let x be k(6). Let a = x - -8. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 40 + 10 = -3*o, 4*q + 4*o = 32. Let h be (-2)\/q - (-65)\/39. Let t be -2 + 6 + (-8)\/h. Let a(r) = r**2 + 5*r - 5. Calculate a(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1384 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -15*s**2 + 97*s + 7. Give x(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0 + 1\/12*i**4 - 1\/15*i**5 + i**2 - 1\/6*i**3 + 0*i. Give c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136183878\/5 or 27236775?\nAnswer: 27236775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/213 and -101\/22572?\nAnswer: 1602612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 5. Let u(a) be the second derivative of a**3\/6 + 3*a**2 + 6*a. Determine 3*u(y) - 4*x(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 98*s**2 + 1914*s + 136242.\nAnswer: 2*(s - 87)**2*(s + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2456 times 0.59?\nAnswer: -0.144904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 59*w**2 + 114*w + 19. Give u(-57).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79b8b - 4c?\nAnswer: -79bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {u: 7, s: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + q**3 - 2*q**3 + q**2 - q**2 + (3 + q - 3)*(0 + 0 - q**2) + 4*q**3 - 3*q**3 - 3*q**3)*(26 - 8 + 87*q - 16).\nAnswer: -348*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-10))\/(1\/(-5)). Let q be (h\/2)\/((-2)\/(-4)). What is the units digit of (1 + 0)\/(q\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -12)*30\/18. Let s = g - 308\/15. What is the common denominator of 8\/(-14) + (-2)\/2 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -380.6, 0.068?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1035 by -5.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1152*4*((9 - 12) + -6 + 8). Calculate the greatest common divisor of h and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/36*2265\/(-18724)*-31.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*p - 68*p + 98 = -4*k, -113*p + 111*p = -3*k + 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o. Let s = o + 2. What is the first derivative of 0*w**s - 2 + 3 - w**2 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/12 (b) 22\/9 (c) -0.5 (d) -2\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*q + 10, 3*y + 3*q - 27 = -0*q. Suppose -4*d - 8*o = -4*o - 592, 0 = -y*d + 3*o + 732. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 14824.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 3617*h + 3623*h - 7 - h**2. Let f(b) = -2*b**2 + 5*b - 6. Calculate -4*f(l) + 3*g(l).\nAnswer: 2*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1077 + 2)\/(13\/(-26)). What is the greatest common factor of 516 and w?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40735.66ns in milliseconds?\nAnswer: 0.04073566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -11. Let k(b) = 16*b - 3. Let p be k(j). Is (-4)\/(-10) + p\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 8 - -7)\/(((-56)\/(-8) - 8)\/2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261244 and 270643?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 7 - 3*j - j - 2*j. Let q(b) = -9*b + 6. Calculate -7*q(t) + 6*s(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 3:29 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:40 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-305)\/(-7686)*-18*-77?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from scdhldc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*z - 24, 5*s - 3 = -177*z + 181*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 6*h + 10*h)*((h - 2*h + 0*h)*(5 - 4 - 4) + 0*h + h - 2*h)*(-3 + 3 - 4*h**2)*(0*h + 0*h + h).\nAnswer: -128*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - 160\/(-9). Suppose -4*m + 18 + s = 0. Let f(t) = -t - 1 + m + 1 - 1. Determine f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -0.07. Is t at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-192)\/(-2016))\/((-27)\/14 - -2). Factor x*r**2 + 1\/3*r**3 + 2\/3 + 5\/3*r.\nAnswer: (r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -130\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*2 - sqrt(77)) + sqrt(77) + sqrt(77))*4 + -4*sqrt(77)*3)\/((sqrt(1331) + -6*(sqrt(1331) - sqrt(1331)*1))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5*(sqrt(1575)*-1 + sqrt(1575)))\/(sqrt(441) + 1*sqrt(441)*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*n + 24. Let p(w) = -3*w + 3*w**3 + 2*w**2 - 6*w**2 - 6*w**3. Let c(r) = -2*r**3 - 2*r**2 - 2*r. Let u(y) = n*p(y) + 5*c(y). Solve u(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -35\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*7\/((-280)\/96)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**4 - 10*y**3 - 9*y**2 - 8*y - 4. Suppose 0*z + 9 = 3*z. Let l(t) = t**3 + t + 1. Let v(u) = z*l(u) + a(u). Factor v(o).\nAnswer: -(o + 1)**3*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -0.81. Let x = -0.83 + f. Let l = -0.17 + x. What is the second smallest value in 3, l, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/(-12)*342\/190?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965 (base 11) in base 15?\nAnswer: b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3441 - 2397 + 10*a + 16*a - 6*a**2 - 17*a - 48*a**2 wrt a?\nAnswer: -108*a + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -281 (b) 8\/9 (c) -0.5 (d) 47 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.37 + -0.07. Let y(f) = -f. Let a be y(2). Let v be a\/12 - 2\/(-4). Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p**2 - 15*p**2 - p**2 + 5*p**2 - p**2 - 2*p**2 + (-4*p + 3 - 3)*(-3*p - p + 5*p).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(1\/4)*d))**(-4\/25)\/((d\/(d\/d**(-7))*d)\/d**(1\/11)))**(1\/37) assuming d is positive.\nAnswer: d**(1686\/10175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 11:13 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 8. Let u be r(-5). Suppose -8*y + u*y = -25. Suppose 0 = y*k + 2*h - 52, -3*k + 27 = 4*h - 7*h. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100000010 (base 2) to base 16.\nAnswer: 1f02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 322*q - 158. Is n(-117) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.04. Let s = -548.0409 - -548. Let d = n - s. What is d rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 58*b - 8. Let g(r) = 57*r - 9. Let u(v) = 4*f(v) - 3*g(v). Let q be u(7). Is q\/4 - 4\/8 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -35*t**5 + 310*t**4 - 125*t**3 - 950*t**2 + 160*t + 640 = 0?\nAnswer: -8\/7, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 106 = -5*n, 15 + 2 = -n + b. Let g be n\/25*(-10)\/24*2. Factor -g*s + 2\/9*s**2 + 4\/9.\nAnswer: 2*(s - 2)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12904*r**2 - 12885*r**2 + 74300 - 74300.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 14590536 = 141304224. Let a = x - -11770680. Round a to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4184 + -4184.2. Which is the third biggest value? (a) p (b) 2568 (c) 0.5 (d) -2\/9 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794404.3 decades to years.\nAnswer: 7944043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*l**2 - 4 + 2*l - 2*l - 171*l**2 - 190*l**2 to a + x*l**2 + w*l and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c75 + 47?\nAnswer: 1cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (245 - 262 - (-10 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 - 2*u + 1. Suppose -4 - 16 = -5*i. What are the prime factors of y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -615, -758, -891, -1008, -1103, -1170, -1203, -1196?\n\"Answer: q**3 - q**2 - 147*q - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/12*24\/(-252). Suppose -2\/9*b + 2\/9*b**2 + i*b**3 - 2\/9 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3240)\/(-252) + (-4)\/14 + (-99)\/(-231)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(130\/(-234))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 10:48 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + y = 4*y + 29, 0 = h + 2*y - 21. Calculate the highest common factor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.3988 and 12.445?\nAnswer: 15.8438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*m = 0, -7 + 3 = -3*i - m. Let r(n) = -3*n**2 + 3*n + n**3 + 2*n - i - n. What are the prime factors of r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = 14*m - 13*m, 3*o - 19 = -2*m. What is the hundreds digit of (732\/(-15))\/(o + 26\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*p + 9 - 14 + 9 - 17*p in the form u + f*p and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*-5*1*-2*sqrt(425)*3*4)**2)*5.\nAnswer: 765000005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 43?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 13. Calculate the smallest common multiple of 5 and -4 + 0 - (-6 + c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/35994740 and 33\/1610291.\nAnswer: 611910580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5527309313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 111. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131490 divided by 2.\nAnswer: 65745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 - b**2 - b - 2. Let v be k(2). Let m be v\/(-4)*(-1)\/(-5). Solve 5*i - 17 = 8, -3*z - 19 = -m*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111104 (base 5) in base 6?\nAnswer: 230225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*w**2 + 14884\/3 - 244\/3*w = 0. What is w?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -880 - -914. Calculate the remainder when 164 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 574*n - 18 + n**2 + 4 - 573*n. Let y be x(-11). Let p = 97 - y. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from qpbkkqkkcpkkqckkf?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 97206386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 432*w - 425. Let b be k(-107). Let j(a) be the third derivative of -2\/3*a**b + 14*a**2 + 1\/10*a**5 + 5\/12*a**4 + 0*a + 0. Factor j(r).\nAnswer: 2*(r + 2)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -5*b**2\/2 - 8*b - 2. Let v be i(-2). Suppose -4*h = v*h - 900. What is the greatest common divisor of h and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 12\/8*343\/21*46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/28)\/(640\/(-448))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -703, -2, 6, -5 in descending order.\nAnswer: 6, -2, -5, -39, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 - 2 - j**3 + 5*j**2 + 3 to the form z*j**2 + o*j + u*j**3 + v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 4\/21*a**3 + 1\/21*a**6 - 1\/7*a**4 - 2\/35*a**5 - 2\/7*a + 7 + 1\/7*a**2. What is y in j(y) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 + 227. Let q = -92 - -148. Calculate the highest common factor of a and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 2*i**7\/315 + i**6\/45 - i**5\/45 - i**4\/9 - 20*i**2. Find r, given that g(r) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*f + 22, 2*f + 12 = -4*x + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8677 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2208 = -210*z - 312 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0312837 to 4 decimal places.\nAnswer: -0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 - 115355242*k**2\/5 + 230710478*k\/5 - 115355238\/5.\nAnswer: 2*(k - 57677619)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 23561355.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37024*t + 36933*t - 3185 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 143. What is the remainder when n is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 50*p - 51*p + 18174 = 0, 22718 = 5*k + p. Is 142 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -108*t**2. Let j(f) = 64*f + 1. What is j(m(b))?\nAnswer: -6912*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 3291067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -343079*p**5 - 39*p**4 + 3*p**3 - 5840*p**2 - p - 980.\nAnswer: -20584740*p**2 - 936*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - 4*i)*(-2*i - 1 + 1) - 3*i**2 + 3*i**2 + i**2 + 3*i - i**2 - 3*i + (2 - 2 - i)*(5*i - 4 + 4).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 196, 119, -30, -275?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -3 in increasing order.\nAnswer: -7, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 + 3*a**2 - 3*a**2)*(-2 - 4 + 4) - 2*a**2 + 2*a**2 - a**2 + (-12 - 1 - 11)*(33*a**2 - 53*a**2 + 57*a**2) in the form w*a + s*a**2 + v and give s.\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-27)*-3*(-7 - (-387)\/63).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 0, -0.1, 2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let q be ((-3)\/(-2))\/((-3)\/(-30)). Let a(w) = 15 - 3*w - q. Calculate h(a(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(6\/4 + -2). Let y be 2\/5 - (-227)\/r. Is 202\/18 + 10\/y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 12*z - 17. Let q be l(13). Let p(i) = -6 + 3 + 2 + i**2 + 4*i. Give p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -818 and 0.24?\nAnswer: -196.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Suppose -2*u = d - 24, 0 = -4*u - u + a*d + 60. Solve -u = 5*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4322\/9, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.5 + -353.5. Let j = k - -328. Which is the second biggest value? (a) j (b) 0.4 (c) 2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2742*t + 2 = -5*o - 2738*t, -5*o + 5*t - 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 14*v + 16. Let d(r) = 11*r + 15. Let c(z) = 4*d(z) - 3*i(z). Suppose 20 = -0*u - 4*u. Calculate the least common multiple of c(u) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/12*(-1 - (-21)\/35).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 189372\/90 - 4\/30. Suppose 2*z = -2*z - 4*x + p, -5*x + 2101 = 4*z. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1767.3268 and -2332.97.\nAnswer: -4100.2968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(297\/6))\/((-1)\/(-1))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838009951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2185 divided by 5.\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:23 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -108, 1\/3, -2\/25, -1\/10, 0.2, 5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(84)*-1 - sqrt(84))\/(-3*sqrt(28)\/sqrt(4)*5)*-3.\nAnswer: -14*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-24)\/(-288))\/(-3 - -1 - 8)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96169702 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, 0, 5 in descending order.\nAnswer: 16, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 458 - 458. Suppose -5*u + 3*u - 3*j + 21 = 0, v = -2*u + j + 9. Sort u, -7, -4 in ascending order.\nAnswer: -7, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 546 - 2*v**2 + 546.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2985301, -5970603, -8955905, -11941207, -14926509?\nAnswer: -17911811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3282c + 27a?\nAnswer: 32aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.436866437+207\nAnswer: 201.563133563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100101101001101011 (base 2) to base 8\nAnswer: 455153","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 2*q - 1. Let h be i(1). Let f(l) = -l + 1049. Is f(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 1873 = -j - 1785 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g + 35 - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262 and 419462.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31671 and 197625.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + 1*(1 + sqrt(700) + -2))*4)**2.\nAnswer: -15360*sqrt(7) + 181504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97\/2*r**3 + 9\/4*r**4 - r**5 - 95\/2*r - 57\/4*r**2 + 12 = 0 for r.\nAnswer: -6, -1, 1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 14. Let z be s(7). Suppose -5*a = 4*l - 1626, z = 4*l - 0*a + a - 1618. Suppose -3*o + 229 = -l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p = -232 - 78 - 86 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = -v, 3*t + 3*v = -v + 7. Find the third derivative of t - 4*a**2 + a**5 - 1 + 0*a**5 wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*(-720)\/(-108)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25893264431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2404944 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*1*sqrt(450))\/(-3*(sqrt(1000) + -1*sqrt(1000)) + sqrt(1000) + (sqrt(1000) - (sqrt(1000) - (sqrt(1000) + -3*-2*sqrt(1000))))).\nAnswer: 3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 22*w + 28. Let m be g(20). Let b be 13179\/(-18) - 2\/m. What is the remainder when 41 is divided by (-12)\/66 - b\/33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 512 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/5 + 957*n**4 + 1911*n**3 - 957*n**2 - 9558*n\/5 = 0. What is n?\nAnswer: -1593, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(2\/5)*b*b))**(-6)*b**(-1\/7)\/(b*b\/(b*((b*b**(-4)\/b*b*b)\/b)\/b*b*b)*b*b))\/(b**1\/b*b**(4\/7)\/b*b)**(-16) assuming b is positive.\nAnswer: b**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 268*w - 99*w + 15487 - 13290 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337897372 to the power of 1\/2, to the nearest integer?\nAnswer: 18382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*z**3 - 67*z**3 - 59*z**3 + 186*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/2 + 7*d**4 - 16*d**3 + d**2 + 31*d\/2 - 8.\nAnswer: (d - 1)**3*(d + 1)*(d + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8731, 18755, 28799, 38869, 48971?\nAnswer: 59111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 14)\/4 - 3. Suppose 5*i - 10*i + 10 = g. Suppose -5 = l, d + 5*l = i*d - 276. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*o - 33*o + 227 + 861 = 0. Solve 3*a - 23 = 5*w, -o*w - 22 = w - 2*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19*v**2 - 883*v + 1913. Give q(45).\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1950.\nAnswer: -5850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -597.6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3908, 7839, 11770, 15701, 19632, 23563?\nAnswer: 27494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5 + 509829*w**4 - 28828776654*w**3 + 539460787361034*w**2 + 166665839281841361*w + 166126349665193841 = 0.\nAnswer: -303, -1, 56749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 11206 = -6*k. Suppose 0 = -r + x + 430, 2*r - k = -x + 2*x. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:56 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*u**3\/5 + 78*u**2\/5 - 22*u + 10.\nAnswer: -2*(u - 1)*(3*u - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 134?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 3*y**2 + 2*y + 4. Let w be x(3). Let r = w - 182\/5. Which is the fourth smallest value? (a) -2 (b) -2\/17 (c) 2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.065 + 7.065. What is the third smallest value in -9, 0.3, 1.1, c?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.9, -3, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:29 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-4*x + 4*x + 2*x + 1450 - 1450 + 182*x + (6 - 2 - 2)*(1 - 1 - x) - 3*x + 4*x - 2*x).\nAnswer: -362*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -6591, -22171, -52491, -102465, -177007, -281031, -419451?\nAnswer: -597181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 - -250.4. Let y = 3 + -48. Let r = -44 - y. Which is the closest to 0? (a) 1\/4 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:18 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6475 and 497.\nAnswer: 459725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.811 rounded to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -104424331 (base 5) in base 11?\nAnswer: -29a23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -22. Sort -3, z, 1.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -5\/2*x**2 + 2\/3*x**3 + 0 + 1\/12*x**4 + x. Suppose -6*l + 3*l - 12 = 0. What is z(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52075 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(2\/5)*(((j\/j**(1\/4)*j)\/j)\/j)\/(j*j\/(j**(-5)*j)*j) assuming j is positive.\nAnswer: j**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1535778.279ns to weeks.\nAnswer: 0.0000000025393159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 - 2*j**2. Let l(x) = -3*x**2 - x + 2. Let d = 6003 - 6002. Give d*l(s) + k(s).\nAnswer: -2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3116 is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 454420438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + (-5 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 19 + c**2 + 11 + c**3 + c**2 in the form i*c + a*c**2 + z*c**3 + n and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7585 a factor of 1356471060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6808 and -25\/6808.\nAnswer: 6808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3872\/9 + 430. Sort 0.4, -3, i, -2 in descending order.\nAnswer: 0.4, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 19, -1\/6, -7\/17, 0.4, 2 in decreasing order.\nAnswer: 19, 2, 0.4, -1\/6, -7\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h + 12. Let p(y) = -2*y + 4. What is 3*i(f) - 8*p(f)?\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 2*g + 6*g)*(0 - 4 + 3)*(5 + 0 - 4)*(13 + 60 + 58) as l + z*g and give z.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = 7*q + 1357. Do 61 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -28*s - 10. What are the prime factors of o(-9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18193, 18280, 18363, 18442, 18517, 18588?\nAnswer: 18655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 13*z - 78. Let g be h(5). Suppose 39*i = g*i + 2182. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 2*y - 1. Let j be (0 - -1)*-1 - -10. Let i(g) be the second derivative of g**3\/6 - 5*g**2 - 3*g. Let n be i(j). Determine w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 76639*t + 57477.\nAnswer: (t + 19159)*(4*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1045714954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -2, -5, -1 in increasing order.\nAnswer: -19, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 240 = -10*g. Suppose 4*h - g = -0*h. Suppose -7322 = -h*m + 19878. Round m to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 845 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77291480 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/18))**13\/(k*k**(-4))**(-36) assuming k is positive.\nAnswer: k**(-1931\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15725 - -786791\/50. Let a = c + 42\/25. Calculate the common denominator of a and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -631 + 899. Let d = 90 - b. Let p = d + 192.8. Round p to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 988.407ml?\nAnswer: 0.988407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40161, -80304, -120405, -160446, -200409, -240276, -280029?\n\"Answer: 3*d**3 + 3*d**2 - 40173*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**3\/3 + 10*f + 18. Let a(j) = -2*j**2. What is m(a(p))?\nAnswer: 4*p**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-6.7.\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*j**3 + 161*j**3 + 1 + 29*j - 326*j**3)*(-j + j - j**2).\nAnswer: 2*j**5 - 29*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i + i - 4*i - i - i. Let f(g) = 2*g**2. What is f(k(t))?\nAnswer: 450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21393.\nAnswer: 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10168 + 2710 = -339*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2185112 divided by 68.\nAnswer: -32134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 12*p - 5*p)*(-19 - 4 + 4)*(2 - 2 + 3*p).\nAnswer: -627*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**6\/15 + a**5\/12 - 35*a**2\/2 + a. Let w(u) be the first derivative of m(u). Find the third derivative of w(v) wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -28903.19.\nAnswer: -28899.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236079 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnwwvwnndwnvvdzw. Give prob of picking 2 w and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (19548 - 10320 - 36176 - 57880 - 56135)*(2*u + 5 - 5) as d*u + q and give d.\nAnswer: -281926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*z**3 + 19*z**2 + 49 - 49 wrt z.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 7*u + 4. Let b be p(-6). Let i(n) = 4*n**2 + 5*n - 5. Let m(y) = -11*y**2 - 8*y + 11. Let q(k) = -9*i(k) - 4*m(k). Is q(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -12. Let n(w) = w**2 + 3*w - 8. Let c be n(k). Calculate the least common multiple of 4 and 18\/(-4)*c\/(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -177\/10, 3, 1\/6 in increasing order.\nAnswer: -177\/10, -0.2, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2084000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**2 + 354*i**2 + 6 + 28*i**2 - 6.\nAnswer: 333*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 87*f + 77. Let q be d(2). Let g = q - 248. Which is bigger: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227758719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154593110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3)*(4*d**4 + 2*d**4 - 3*d**4)*(3*d - d - d).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 10:49 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 15*t**2 + 9*t - 18. Let r be a(-14). Let y = 115 - r. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11829 is divided by 2907.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -431 - -1164. List the prime factors of s.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f + 1. Let h(i) = 6*i + 1. Let m(w) = -4*h(w) + 3*n(w). Let l be m(-1). Suppose -4*z + 180 = -l*k, z + k - 2*k = 43. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o. Let y(c) = 1. Let l(r) = -r**2 - 7*r - 10. Let x(h) = l(h) + 2*y(h). Let q be x(-4). Give s(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -109*j + 131*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**3\/6 + i**2. Let a be 2\/(-3) - 1\/3. Let n(j) be the third derivative of -j**4\/24 - 3*j**2. Calculate a*n(p) + 2*u(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1057721 by -371.\nAnswer: -2851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4632058 nanograms?\nAnswer: 0.0000000004632058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1181442 divided by -590721\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6010 - 3003 - 3007 + 4948*s to n*s + t and give n.\nAnswer: 4948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/8 of a millennium?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.863 - 31.863. What is the fourth biggest value in 0.31, -2\/13, -1\/52, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 + 34 + -5 + 86?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161863*a**4 + 7*a**2*v**3 + a*v**3 + 3*a*v**2 - 311*a - 2*v**3 - 12*v wrt a.\nAnswer: -1942356*a**2 + 14*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)\/d*d*((d*d*d**(-12)*d*d)\/d)\/d*d*d*(d**(-2))**1 assuming d is positive.\nAnswer: d**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z + 17*z**2 - 5 - 42*z**2 + 15*z**2 + z**3 - 2*z. What is the hundreds digit of d(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - 576\/42. Let y = j - -8. Let v(n) = 7*n + 1 - 1 + 1 + n**2. What is v(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*m**5 - m**3 - 93*m - 2?\nAnswer: 1360*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 3\/(-3))*3\/(-2). Suppose 0 = 3*k + 3, 0 = -a + l*a - 2*k - 392. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 3 + 7*r**2 - 4*r**3 + 2*r**3)*(3*r**2 - 3*r**2 - r**2 - 4 + 4 + r**2 + (r - 1 + 1)*(2*r - 2*r + r) - 117*r**2 + 64*r**2 - 96*r**2).\nAnswer: 296*r**5 - 296*r**4 - 444*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*p + 18, 14 = 3*p - 4*p - 4*u. Let h(v) = 6*v**3 - 2*v**2 + 1. Let o = 0 - -1. Let g be h(o). Solve -l + 2*l = 3*x - p, -4*l + g = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 5802\/8785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 10*k - 7. Suppose p + g = -2*p + 29, -p = 4*g - 17. Suppose 0 = 3*n - 0*n - p, 3*y + 2*n = 24. Is 17 a factor of v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7321177563.\nAnswer: 3, 7, 199, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**3\/6 - 8*d**2 - 6*d - 31. Suppose -11 = -5*w + 19. What is p(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 42. Let h = o - -50. What is the remainder when h is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 574*t - 572*t + 8 = 0, -9 = 5*y + 3*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2378\/349 at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:45 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 - 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5814 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 6534?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Let j(v) = v**3 - 2*v**2 + 4*v - 1. What is the least common multiple of j(3) and (-2 + 4)*(g - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5*d - 11, -5*z - 10 = d - 50 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1504.\nAnswer: 1\/1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -95*q**2 + q + 4. Let x(v) = -282*v**2 + 3*v + 11. Let c(h) = -11*t(h) + 4*x(h). Let w(k) = k. Give c(w(i)).\nAnswer: -83*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1231057053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/2825 and 58\/3562325?\nAnswer: 3562325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*n + 12 = 106*n - 2*c, -16*n + 18*n = -5*c - 30 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3 and 31\/27177?\nAnswer: 27177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 41 = -4*t, 3*c - 3*t - 26295 = -26268 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 145 - 3*k - 91 - 54. Let i(w) be the first derivative of -1\/2*w**2 + 0*w + 1. What is c(i(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 5, 1, 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*s + 24*s - 30 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*k = m - 195, 3*m = 4*k + 194. Let q = m + -61. Solve 0*n + q*n = -4*w + 13, -w = 4*n - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 33. Let l be y(13). Let g = -13 - l. Solve -g*w + 3*w - 11 = -3*z, 10 = -4*w + 2*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -1.4. Let o = w - 1.5. Let c = o - -1.0000064. Round c to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 11*c - 23. Suppose 4*p + 16 = 4*f, c = f - 5*p - 1. Suppose q + 1 = -2, 5*k + f*q = 641. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-7 - -13) - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 - 1703*n**3*s - 4183*n**3 + 6*n**2*s + 3*n*s - 1743427*s wrt n.\nAnswer: 60*n**2 - 10218*s - 25098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxqqqoxqoqoxoo. What is prob of picking 2 q and 1 o?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -23 (b) 0.2 (c) -37.732 (d) -6\/5 (e) 0.1 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2865 + 648 - 104 - 446)*(-2*h**2 - 3*h**2 + 6*h**2 + (2*h + 0*h + 0*h)*(h - h + 2*h)).\nAnswer: 14815*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -52141?\nAnswer: 52138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -2*o**3 + 6 - 8*o**2 + 3*o**3 + 8*o**2. Let p(v) = 3*v. Calculate k(p(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbheemesehbbh. What is prob of picking 2 h, 1 s, and 1 m?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23676250 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*d - 5232 = 687*d + 721*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-996))\/(37\/888*-3)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2720, -5490, -8262, -11036?\n\"Answer: -c**2 - 2767*c + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35632862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17 + 2)\/(-2 - 1). Suppose k + 10 = -n - 3*g, 2*n - 15 = 3*g. Solve 2 = -p - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/59744 and -9\/306188?\nAnswer: 2449504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 4*s - 13, s - 2 = -f. Solve s*l - 5*u = 4, -3*l - 4*u - 8 = -3*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/7)*w))\/w)**35\/(w**(-1))**(-2\/31)*(w\/(w*w*w**(2\/3)))**(3\/25)*w**(-2\/19)\/w**(-1\/2) assuming w is positive.\nAnswer: w**(-146483\/5890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21)*42\/(-12) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38951476?\nAnswer: 2, 41, 237509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2*s**4 - 2*s**3\/3 + s - 998. Give n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 + 25 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.109 + 0.109. Which is the closest to -1\/2? (a) -12 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -336 in -4, -16, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93960 and 2142612.\nAnswer: 621357480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:39 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34694839 to five decimal places.\nAnswer: 0.34695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/2 - 42288*n - 8061795\/2 = 0 for n.\nAnswer: -95, 28287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -3*g, 20 = 21*g - 16*g. Which is greater: -13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 3. Let r be v(7). Let b be 7 + r + 2\/2. Suppose -39 = -s - b*d, s + 4 - 13 = 2*d. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Let g = n - -23. What is the second derivative of -9*f**3 - 5*f - 14*f**3 + g*f**3 - 2*f**5 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -184 - -28 - 11455\/(-145).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251905 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Let i be 1\/c - 76\/(-20). Solve -1 = 3*f - i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2079 divide 24334522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 + 4067?\nAnswer: 3a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9248 and 16473?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 minus -84.69165?\nAnswer: -718.30835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -12. Suppose -y = -z - 0*z. Suppose 3*h - 10 + 3 = n, 4*n - 4*h - 12 = 0. What is the greatest common divisor of n and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 2, a: 1, v: 2, z: 1, r: 1}. What is prob of sequence vdv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 9:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1686*y - 7132 = 97*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**3 + 202*g**2\/3 + 680*g\/3 + 232 = 0.\nAnswer: -6, -29\/9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/83 - (-136 + 0 + 0). Suppose -f = -2*t + 38. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllalaxwlllwxlllx. What is prob of picking 1 x and 1 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) + sqrt(77) + (-2*sqrt(77) + sqrt(77))*5 + sqrt(77))*-2)\/((1*sqrt(55))\/sqrt(5) + sqrt(22)\/(sqrt(2) + sqrt(10)\/sqrt(5))).\nAnswer: -16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 18*h. Let n(x) = -3*x + 3. Let f(g) = 7*g - 6. Let l(m) = f(m) + 2*n(m). Give -12*l(u) + 2*r(u).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*-1*((-962)\/4)\/(-13).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30576 - 27537?\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*a + 19 = 0, -2*a + 5 = -1. Find the second derivative of 3*h**b + 2*h + 0*h + 5*h**5 - 5*h**5 wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -4 - (377 - 352)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 29 - 11 = -4*m, -5*t = -m - 26. Suppose 11*j - t = 38. What is the closest to 1\/4 in j, -32, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**3\/6 - 3*l**2 - 920*l. What is k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + -5)**2 + -1 + (5 + sqrt(847) + (sqrt(847) - 2*sqrt(847) - sqrt(847)) + sqrt(847))**2.\nAnswer: -10*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1564 and 12065784?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 593556, 593656, 593756, 593856, 593956?\n\"Answer: 100*t + 593456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.342066l in millilitres?\nAnswer: 5342.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 2 = 38. Suppose -2*o = -f + 92, -j*o + 151 = 2*f - 1. Does 6 divide 28\/f*(36 + 1 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -128 and 1.1?\nAnswer: 129.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((264\/9)\/4)\/((-68)\/306). Let i be (-8517)\/(-561) + 3*2\/y. Solve -5*v - 5*s - 42 = 8, -v + 4*s = -i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4431 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -28 (b) 5 (c) -1\/128 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 1, 11 in ascending order.\nAnswer: -7, -4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b51 (base 13) in base 15?\nAnswer: -5ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/63 - 7\/9. What is the second biggest value in 5, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/80*-20*(-2)\/(-32). Factor -a - 1\/4*c**2 + 1\/2*c.\nAnswer: -(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-38)\/(456\/(-270)))\/((-3)\/(-252440)). What is z rounded to the nearest ten thousand?\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 33. Let w(z) = -z**2 + 5*z - 1. Let u = -4 - -8. Let o be w(u). Solve 0 = -o*g - 1 - c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + 11 + -9 + -10.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2096 - 1164 + 2107)*(h**2 + 31*h - 31*h) in the form x*h**2 + i + o*h and give x.\nAnswer: 3039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1021099 to four decimal places.\nAnswer: 0.1021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ccc1 - 200?\nAnswer: -101c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v + 7 + 544*v + 64*v.\nAnswer: 586*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 2, j: 2}. What is prob of picking 1 u and 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((120\/1120)\/3).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*d + 12, 0 = v - 6*d + d + 15. Suppose 0 = -3*n + b + 1, 5*n = 2*b - v*b. Solve -3*p - 5*j = -2*p - 5, -n*p - j = 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Suppose -4*t = -2*t + a, n - t = 22201. What is n rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1819182*q - 559934 wrt q?\nAnswer: -1819182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 677*d**2. Let c(l) = 3*l. Determine o(c(z)).\nAnswer: 6093*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (2*(-3)\/(-2) - -118) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.57981 - 4.42019. Let z = 42 + -288\/7. What is the fourth smallest value in -1\/3, z, -2, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 72306?\nAnswer: 795366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 487 in 5, 0.4, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483825 is divided by 125?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + -2*sqrt(19)*-2 + (1*sqrt(931))**2).\nAnswer: 30*sqrt(19) + 5586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 20211588.\nAnswer: -303173820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 7:36 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - 1. Let r be o(-1). Let u(s) be the third derivative of -5*s**4\/24 - s**3 + 19*s**2. What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 256267*g**3 - 204071 wrt g?\nAnswer: 768801*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60703 - -8073574\/133. Let t = 27\/19 - d. Factor t*k + 3\/7*k**2 + 3\/7.\nAnswer: 3*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21230 + 21229.82978. Let s = -3.5 + 3.33. Let x = s - l. Round x to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 758 divided by 14.\nAnswer: 379\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.635326 rounded to 2 dps?\nAnswer: -46.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124862 and 41062?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11148110 - 0.1307.\nAnswer: -11148110.1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/(-8))\/((12\/12)\/((-4)\/8))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 300\/(-135) + (-14)\/(-7). Put 2, 0.38, g, 0.1 in ascending order.\nAnswer: g, 0.1, 0.38, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-4 - -11) + -15 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 328975 or -273\/4?\nAnswer: 328975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 182693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -1923, -5, 23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.095313*2.871\nAnswer: -0.273643623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14886 divided by -6?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**6\/1440 + h**4\/24 + 5*h**3 + 14. Let j(q) be the third derivative of r(q). Factor j(x).\nAnswer: -(x - 2)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -13. Let q = 311 + -215. Calculate the greatest common factor of a and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82078 or -82075?\nAnswer: -82075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05989365 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 + 3) - (-16 + 22) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 254890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100022 + 1112221222110?\nAnswer: 1112222022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) + -1 + -2) + -5.\nAnswer: -11 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8070851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*2*(-5)\/10. Suppose 0 = -3*q + 38 + d. Calculate the remainder when 25 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 2. Let w(p) = 3*p**2 + 3. Calculate 3*m(h) - 2*w(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((214\/642)\/(141\/9))\/((-2)\/(-2)).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156 - 68*m + 36 + 74*m with respect to m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/80 and (1 - 506\/(-16))*372\/2790.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-3*l + 4*l - 3*l)*(24*l + 2*l + 3*l).\nAnswer: 174*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-70)*1148\/9594. Suppose 5*f - 2 = 4*f. Let j = 3 - f. Which is greater: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*52\/117)\/(24\/6)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/14)\/(2\/(-14)). Suppose 8 = -r*t, -3*t - 15 = -4*m - 1. Suppose m = -3*w + 5*w. Solve 0 = -j - w + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**3 + 155 + 143 - 75*u**4 - 38*u**4 - 13 + 77*u**4 wrt u.\nAnswer: -144*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-8)\/20*(34 - 39). Let s be -2 + 1 + 0 + -1. Let z be 1 + s + 6*(-1)\/u. Solve 2*r - 2 = -5*j, -16 = 4*r - r - z*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/((-4)\/12). Let r be (-2)\/q - (6 - 4). Suppose -3*m - 353165 - 42835 = r. Round m to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 7*z - 47 + 67 = 0, 0 = -5*m + 2*z - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 635450681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 25060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(6\/20) - 2. Let j(v) = -v**2 + 8*v + 4. Let l be j(o). Let f = -0.08 + -0.02. Which is the nearest to f? (a) 5 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k + 120 = -35. Let z(y) = -4*y**2 - 7*y + 4. Let j(t) = -2*t**2 - 3*t + 2. Calculate k*j(x) + 2*z(x).\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 1. Let j(c) = -c**2 - 24*c + 31. Let h be j(-25). Let y(q) = 3 - 1 - h + q**3 + 3. Suppose -15 = 8*k - 3*k. What is k*u(s) + 4*y(s)?\nAnswer: -2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 3:50 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36573627 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109002 is divided by 992.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 101823, 5 in decreasing order.\nAnswer: 101823, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 3. Which is the third biggest value? (a) j (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 9. Let w be q(5). Suppose 0 = 85*f - 138 + 53. Sort w, -4, 3, f in decreasing order.\nAnswer: w, 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.97. Which is the third biggest value? (a) 0 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2. Let q(a) = -826 - 63*a + 826. What is q(t(o))?\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 408*a*l*m + 2*a*m**2 - l*m**2 - 3*l*m + 32*l - 28816*m**2 wrt l.\nAnswer: 408*a*m - m**2 - 3*m + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(284\/105 + (-9630)\/3745)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(-n + 4*n + 41*n).\nAnswer: -132*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6920 and 84840?\nAnswer: 14677320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3665?\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-3*o**2 + 2*o**2 - 3*o**2) - 1 + 2*o**2 + 1 + 4 - o**2 - 4.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1445 - 1121. Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4\/2 - 204*j**3 - 2529*j**2\/2 - 1917*j = 0?\nAnswer: -3, 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/60 - (-24)\/(-80) and -46\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -706\nAnswer: -29\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 1 + 4 - 3 - 1. Let d(x) = -x + 10. Let u be d(9). Give l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379.816 rounded to zero dps?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v + 32 = 11*v. Let b(d) = -d**3 + 4*d**2 + 4*d + 3. Determine b(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3\/2)*-14. Let a(n) = -3*n**3 + 2*n**2 - 2*n + 3. Let r be a(2). Let l = g - r. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9124888 divided by -1140611?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 + 3*f - 8. Let v be c(4). Calculate the greatest common divisor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**6*x**2 - 16*c**4*x**2 + 2*c**2*x - 221*c**2 - 2*x**2 wrt c?\nAnswer: -1080*c**3*x**2 - 384*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 268756.62 rounded to the nearest one hundred?\nAnswer: 268800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + 354*a - 105. Give y(21).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6554*a - 7839. List the prime factors of p(-7).\nAnswer: 38039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72710 (base 8) in base 15?\nAnswer: -8e02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7517, -15316, -23115, -30914?\nAnswer: -38713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35365 - 27?\nAnswer: 3533a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15827, -63317, -142467, -253277, -395747?\nAnswer: -569877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-52 + 21 - -10 - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/35)\/((-10)\/14). Let u = -7\/10 - b. Let l = 2 + -2.1. What is the nearest to l in -3, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by -8 + 11 - (-2)\/3*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Suppose 0 = -l*j + 5*j - 4. What is the lowest common multiple of j and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*j - 24, 88*j - 85*j + 12*p - 63 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-5)\/2)\/5. Let n(f) = -f**2. Let h(z) be the second derivative of 0 - 9*z - 1\/3*z**3 + 1\/12*z**4 + 0*z**2. What is o*h(w) + 2*n(w)?\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f - 10*f - 2*f)*(-3*f + 3*f + f**2)*(0*f + 0*f - 2*f)*(-2*f + 3*f - 3*f).\nAnswer: -80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -320439 divided by -106813\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5993768979?\nAnswer: 3, 11, 60543121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/3, 5\/8, -2\/5, -1\/5, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/300 and 61\/216?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-64)\/(-34))\/(1 - 8476\/(-556)). Let w = -2\/1129 - d. What is the third biggest value in -1\/6, 4, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/168490 and -13\/158364.\nAnswer: 160739460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**6\/120 - x**5\/30 - 3*x**2\/2 + 5*x. Let c(a) be the first derivative of k(a). Let c(z) = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112121210 (base 3) in base 13?\nAnswer: 10a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008171868859 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/2 + 4*t**4 + 17*t**3\/2 + 5*t**2.\nAnswer: t**2*(t + 1)*(t + 2)*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 25*h**3 + 171805*h**2 + 27205790*h - 21874600 = 0?\nAnswer: -6710, -163, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 3, 7, -121778 in ascending order.\nAnswer: -121778, -3\/5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 65. Let n(k) = -z + k + 20 + 34. Is n(9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194243788*g**6 + 5*g**2 - 65*g + 76517?\nAnswer: 23309254560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjjj when four letters picked without replacement from qjjqqorttqoqqqtjtt.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -6. Suppose -4 + 1 = -q. Suppose -6*h = -q*h. Which is the nearest to h? (a) u (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3\/10 (c) 1516 (d) -5 (e) -3 (f) -41.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 1:46 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-9))\/((-7)\/21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56 times 2.6?\nAnswer: 1.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 16. What is the nearest to 1\/4 in -2\/7, g, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2978, -2, -1\/3, 5, 3\/2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + g**3 - 2*g**2 - 2*g. Let a be n(-2). Let r = 6 + a. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200518 is divided by 125?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/12 - 5101*q**2\/6 - 91891*q\/12 - 20422\/3 = 0.\nAnswer: -8, -1, 10211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*(c*c\/(c**(4\/3)\/c))\/c*c)\/((((c*c*c*c**(1\/4))\/c)\/c*c)\/c)**17 assuming c is positive.\nAnswer: c**(-223\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)*(3 - 1) + 5. Which is the third smallest value? (a) -0.2 (b) -0.1 (c) p (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31214\/9 - 3472. Let u = 32\/9 + k. What is the third smallest value in 4, 0.1, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 8 (c) -4 (d) -797\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672356897?\nAnswer: 3, 227, 818579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2. Let x(r) = -14*r**2 - 2*r - 1. Let q(y) = 2*y + 1. Let t(h) = -2*q(h) - 2*x(h). Calculate c(t(b)).\nAnswer: -3136*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27969423 - 27969423 - 211*r**2.\nAnswer: -211*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2. Let h be f(-2). Let g be (-5 - 3)\/(h\/(-1)). Find the second derivative of 0*p**2 + 0*p**2 - 3*p**2 - g*p wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 4*f + 2*f)*(-1 - 3 + 2) + 5 - 5*f - 5 - 53*f - 41 + 41 as h + p*f and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let u be (9\/(-6))\/(y\/16). Which is smaller: u or -29\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*k = 2058*k + 573*k - 33218 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-768)\/2080*(-75)\/(-30))\/(92\/(-26))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 41*r**3 - 13*r**2 + 22*r - 43. Let q(l) = 20*l**3 - 7*l**2 + 12*l - 22. Calculate 11*q(c) - 6*y(c).\nAnswer: -26*c**3 + c**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 3304?\nAnswer: 29736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 8*f + 3. Let o be z(6). Let q be ((-66)\/12 + 6)*0. Suppose 0*v + 5*v - o = q. Solve 3*d - 2 = 5*w, 2*w = -w + v*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154145 (base 11) in base 2?\nAnswer: -111101011000010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26643 + 54?\nAnswer: 26697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22423991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 81 + 25 = j, -3*t + 5*j + 334 = 0. Suppose t = 14*h + 10. Solve -h*m + 11*m - 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(55*n + 96 - 96) + (4 - 5 + 5)*(-n - 1 + 1).\nAnswer: 51*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 693\/178 - 159433\/37202. Let p be (39170\/6688)\/((-15)\/(-20)). Let b = z + p. Find the common denominator of b and -95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-27)\/6)\/3)\/(15\/(-50)). Calculate the greatest common divisor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366782*j**2*k + 2*j + 28987*k wrt j.\nAnswer: -733564*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-9)*(-6)\/4. Suppose -j - 90 = -0*p + p, -3*p = -o*j - 160. Find the common denominator of 4\/(-2) + j\/(-12) and 73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -51. Let k(z) = z - 1. Let a(u) = -7*u + 4. Let m(s) = r*a(s) - 4*k(s). Let t(p) be the first derivative of 6*p**2 - 54. What is m(t(w))?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 3*v - 4*y - 84, -4*y = -5*v + 578. Calculate the remainder when v is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 389765550 and 88965.\nAnswer: 9885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00662552 to five decimal places.\nAnswer: 0.00663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19705, -15309, -7983, 2273, 15459, 31575, 50621?\n\"Answer: 1465*u**2 + u - 21171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1208842326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 1359360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*r**3*s + 908*r**3 + r*s**2 - 23*r*s wrt s?\nAnswer: 6*r**3 + 2*r*s - 23*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 66. Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205304466 (base 7) to base 9\nAnswer: 24807843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.09 - 0.22. Let l = z - 0.869845. Round l to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 52, 74, 96, 118?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -280, -17, 4, -0.5, -3, -2 in decreasing order.\nAnswer: 4, -0.5, -2, -3, -17, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-2*j + 3 - 3)*(-2*j + 762*j**2 + 2328*j**2 + 2*j) as x*j**3 + l*j + b*j**2 + h and give x.\nAnswer: 12360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Suppose -y*a - a = -64. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/7 + 2888*j**2\/7 - 418858*j\/7 + 16051852\/7 = 0. What is j?\nAnswer: 79, 1286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2644\/3966)\/((-4)\/(-32)*4))\/(4\/(-33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, -5 in decreasing order.\nAnswer: 0, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23849, -95404, -214669, -381650, -596353, -858784, -1168949, -1526854?\n\"Answer: -w**3 - 23849*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let x = 1.5 + n. Do -1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -7.5. Let o = r + 4. What is the second biggest value in o, 2, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 355428.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84329375 and 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 5336*z**4 + 464038*z**3 + 5336*z**2 - 464040*z = 0.\nAnswer: -1, 0, 1, 90, 2578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/21 - 134\/259. Let l = 2\/37 - b. Let p = 0 - -0.4. What is the closest to 1\/3 in 0.3, l, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k)*(4 + 0 - 2)*(6 - 26 - 11).\nAnswer: 62*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 1, k: 2, j: 1, s: 1}. What is prob of picking 1 q, 2 u, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -51. Let b be o*10\/4*254. Suppose 4*s + v - 840 = 5*v, -3*s = -2*v - b. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*y + 10 = 0, -51*y = -5*i - 54*y - 12. Suppose u - 6*u - 11 = 4*k, 5*k + 2*u + 35 = 0. Let s = 6 + k. Do s and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12102020200110 (base 3) in base 13?\nAnswer: -79a310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41865.047 days in weeks?\nAnswer: 5980.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/11, 3, 0.5, 130055, -1 in decreasing order.\nAnswer: 130055, 3, 0.5, -2\/11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 + 1042 = 665*p - 1282 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u + 1 + 4\/3*u**3 + 3\/2*u**2. What is the second derivative of p(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12538 (base 9) in base 11?\nAnswer: -63a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w**2 + 0 - 33*w**2 - 10 + 9 - 6 as n*w**2 + l + a*w and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62053512 - -13?\nAnswer: -62053477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 89*y**2 + 265*y + 684. Let h be z(-86). Solve -5*k + 87 = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67.85 + 73. Let x = f + 0.05. Let k = x + -5. What is the closest to k in -4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -5*l**3\/9 + 145*l**2\/6 - 140*l\/3 - 76. Factor a(n).\nAnswer: -5*(n - 28)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 >= 20245\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 148 - 57 + 61*w**3.\nAnswer: 61*w**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 2 + 7 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-3627) + 4248\/(-992).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 4*v + 3*v)*(2 - 2 + 2*v) - 2*v - 17932*v**2 + 2*v + 10868*v**2 + 18722*v**2 to the form i + z*v**2 + t*v and give z.\nAnswer: 11660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274580*a + 274583*a + 4*h = -11, 2*a - 5*h = 31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/54*(-108)\/(-72)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/15 - (96\/60)\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p + 5*p - 3*k = 195, -165 = -5*p - 3*k for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8570 + 4734 + 0*j + 4*j + 9*j.\nAnswer: 13*j + 13304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n. Let m(q) = -q**3 - 8*q**2 + 21*q + 9. Let h be m(-10). Let r(x) = -x**3 + x. Determine h*r(w) + c(w).\nAnswer: 2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57216044.\nAnswer: 2, 53, 269887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*h**4 + 4 + (0 + 1 + 0)*(4*h**4 - 4*h**4 + h**4) - 2*h + 2*h**4 + 2*h + (-1077*h + 1077*h + 50*h**3)*(-3 - h + 1 + 0*h) + 3*h**4 - h**4 + 0*h**4.\nAnswer: -43*h**4 - 100*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097276 at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2893 divided by -4.\nAnswer: -2893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/96 and -1\/4360?\nAnswer: 52320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36131*y**2 + 18087*y**2 + 18052*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3712 = -124*h - 3469, -1 = -3*h - 5*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224049 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 2. Let j = o + 7. Let z = 11 - j. Calculate the least common multiple of 1 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 549*v**5 + 2 - 557*v**5 + 24*v**2 + 3*v**6 + 76*v**2 wrt v?\nAnswer: 360*v**3 - 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 24. Let y be p(6). Solve 32*d**4 - 4*d - 28*d**4 - y*d**4 + 25*d**5 + 20*d**2 - 21*d**3 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:16 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 2*m - m - 5*m + 2*m + 0*m + (3 - 3 - 2)*(-3 + 3 - 2*m) + m - 1 + 1 - 78*m - 59*m + 8398 - 8394.\nAnswer: -132*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Factor 15*k**3 + 4*k**4 - 6*k**4 + 6 + 5*k**4 + 21*k + 27*k**p.\nAnswer: 3*(k + 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10292701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4120 - -4121. Suppose 4 + 6 = 5*u. Let r be 6\/z*u\/6 - 0. Solve -4*h - r = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/54*-4)\/((-8)\/147924)?\nAnswer: 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 35, 1022 in decreasing order.\nAnswer: 1022, 35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppkkppp?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (4 + -3)) + 2 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.1, -37\/5, -74, 30.\nAnswer: -74, -37\/5, -1\/2, 0.1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 5*q + 2*q)*(1 - 1 - 2) - q - q - q + q - q - 4*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 4 + 4. Let y(o) = o**2 + 3*o - 5. Let u = -7 + 9. Let m be y(u). Determine w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 1187 (b) 1\/2 (c) 2 (d) 8 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/30 - u**4\/3 + 4*u**3\/3 - 110*u**2. Factor k(d).\nAnswer: 2*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 3, 0.3, 4.\nAnswer: -1\/15, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*m - 173 = -229, -19 = -h + 3*m for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1734 and 24981738?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b - 24 = 0. What is the tens digit of ((-468)\/b)\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**23*i))\/i*i**(1\/29))\/(i**15)**(8\/11) assuming i is positive.\nAnswer: i**(-11125\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2723.613 centuries to years.\nAnswer: 272361.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -6. Let l(v) = v**2 + v + 9. Let h(a) = -a**2 - 2*a - 10. Let d(t) = q*l(t) - 6*h(t). What is the units digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*g - 30 + 11, 0 = 2*g - 5*x + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6933 - 0.3933. Sort -1, -5, -12, -6\/13, a.\nAnswer: -12, -5, -1, -6\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56188 divided by 11?\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 - 38*p + 6. Give n(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 12341421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 20, 0, -4, 1, -42.\nAnswer: -42, -13, -4, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4499.725m to kilometers.\nAnswer: 4.499725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6868, -13697, -20526, -27355, -34184?\nAnswer: -41013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {p: 1, r: 1, x: 2, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2*r - 191 + 203, -10 = 2*v - r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190985, 763957, 1718923, 3055889, 4774861, 6875845?\nAnswer: 9358847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*t + t - 6, j - 2*t - 15 = 0. Let u be 2\/3*6*6. Let v = u - j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*k = -419*k - 110. What is the highest common divisor of k and 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -28, -29?\n\"Answer: -u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -193, 3 in ascending order.\nAnswer: -193, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*m - 490*m = y - 28, -4*m = 5*y + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m)*(-8 + 41 + 30).\nAnswer: -63*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (112\/(-8))\/56 + 1497\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 5. Let q(y) = 9*y - 15. Determine -2*q(o) - 7*t(o).\nAnswer: 3*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5195260\/47465 + ((-35)\/11 + 4)*(-6)\/(-9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + c**2 + c**2)*(-2*c**3 - 10*c**3 - 10*c**3)*(12 - 5 - 9).\nAnswer: 88*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (28 - 24) + (0 - 1) + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 18886*g - 56652.\nAnswer: -2*(g + 3)*(g + 28326)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 2*d**2 + 3*d)*(-4 + 4 - d + (21 - 2 - 2)*(-3 + 3 - 3*d) - 4*d + 0*d + d) as z*d**3 + k*d + t + n*d**2 and give z.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -3735231.\nAnswer: -1867615.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 13) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 613*i**3 - 239*i**2. Let s(h) = 612*h**3 - 240*h**2. Let c(n) = -3*s(n) + 4*x(n). Find the third derivative of c(u) wrt u.\nAnswer: 3696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59 - -19?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 - -141. Let m be s + 5 + (-8 - -3). Solve 0 = -3*f + 5*b - 17, m*f - 16 = -2*f - 3*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 - -10729?\nAnswer: 10760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = v - 21, -6 - 9 = 5*v. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16435, -16856, -17279, -17704, -18131?\n\"Answer: -w**2 - 418*w - 16016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148 - -132. List the prime factors of ((f\/2)\/(-8))\/((-2)\/(-1996)).\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -4 (b) 336\/11 (c) -3 (d) -0.06 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -10947\nAnswer: 339357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*l = -18, -33*l - 16 = 2*w - 34*l for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*q = -6*d + 447, 0 = 5*d - 2*q - 730. Suppose -d = 3*g + 255. Let u = 488 + g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*d**3*f**3 + 5*b*d**2*f**3 + b*d*f**3 + 14*b*f**2 + 2*d**3*f - 5*d**2*f**2 wrt f?\nAnswer: 6*b*d**3 + 30*b*d**2 + 6*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 - 5*g**5 - 2*g**5 + (g - g - 2*g)*(-2*g**4 + g**4 + 2*g**4 + (-g**3 - 3 + 3)*(-g + 5*g + 3*g)).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58018?\nAnswer: 2, 29009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*o**4 - 151*o**4 + 1 - 221*o**4 - 2*o to y*o + q*o**3 + n*o**4 + w + l*o**2 and give n.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 8. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47470633 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 293 - (80\/10 - 12). What is the highest common factor of v and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/4 + (-10)\/(-20). Let t be (-8)\/2 - (-6)\/(-1). Let j be (d - 55\/t)*114. What is the greatest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -344 + 42258*q - 2*q**3 + q**3 - 175*q**2 - 42776*q = 0.\nAnswer: -172, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*o + 19, 0 = 4*o + b - 66 + 13. Solve -2*t + 5*t = o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (3 - (-7 + -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 8. Let f be q(-6). Let a(w) = -2*w - 3. Let v(o) = -3*o - 4. Let p be (-4)\/(-10) + (-46)\/(-10). Determine f*v(t) + p*a(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + (-1 - (0 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 55*t**2 + 1245*t + 4794. Calculate s(-4).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13*c. Let j be (495\/2)\/(5\/20). Let u be j\/40 + (-6)\/8. Let m(t) = 24*t - u*t - t**2. What is o(m(z))?\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(28)\/sqrt(4) - sqrt(42)\/sqrt(24) - (sqrt(14)\/(sqrt(2) + sqrt(4)\/sqrt(2)) + sqrt(70)\/sqrt(40)))*-6)**2.\nAnswer: -36*sqrt(7) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + ((-7)\/35 - (-594)\/70). Calculate the highest common divisor of x and 4072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21321397.\nAnswer: 31, 687787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:09 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 5. Let y be (-75)\/21 + (-12)\/28 - -2. Let b(v) = -2*v + 1. Calculate y*t(x) - 11*b(x).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/13 + 524*y\/13 + 18816\/13 = 0?\nAnswer: -32, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) -0.011 (c) -0.4 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 284 (b) -0.06 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16113 - -29948. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 80. Let s(d) = -2*d + 78. Let p(f) = 6*s(f) + 5*z(f). Let j(m) = -2*m**2. Give j(p(u)).\nAnswer: -8*u**2 + 544*u - 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6269684 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -40. Suppose 12 = q*r - 3*r. Suppose 0 = -r*l + 8*l + 92. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + x - 12 + 15 = 0, -4*x - 14 = -5*m. Let k(r) = -3*r**m + 37*r**2 + 32*r**2 + 9*r**2. Let h(i) = 3*i. Determine h(k(n)).\nAnswer: 225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321420 is divided by 321320.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 - g**2 - 19*g**3 + 2 - 3*g**2 as d + n*g**3 + r*g + j*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*t + 98 = 0, t + 274 = -3*d + 6*t. Let z = -51 - d. Is 42 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61885302.\nAnswer: 2, 3, 139, 74203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 72667*f + 726844. Determine z(-10).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2736 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 13 = -2*q + j, 3*q + 2*j + 18 = 0. Let b(k) = k**2 + 8*k + 5. What is b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4\/7 - 69*v**3\/7 + 279*v**2\/7 + 195*v + 1014\/7 = 0. Calculate v.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 + 999*g\/5 + 996\/5.\nAnswer: 3*(g + 1)*(g + 332)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1059\/116 + -76\/29. Calculate the common denominator of g and -11\/4086.\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 574.\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.41942137 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 1700*n - 1699*n + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 672\/14087?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (738 - 228)*13\/130?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 11349*s**3 + 11342*s**2 + 68088*s.\nAnswer: s*(s - 11348)*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhbymrbmmzmmrmmhrmm. What is prob of sequence mb?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 o, and 1 b when three letters picked without replacement from boccccooccoccboxoc?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:21 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:16 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 + 5*u**2 - 5*u**2 + 23*u**3.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 186, 651, 1582, 3141, 5490, 8791, 13206?\n\"Answer: 27*g**3 - 10*g**2 + 2*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -421504706 divided by -13596926\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v**(-7)*v)*v*v)\/v))**13*(v*(v\/(v\/(v\/(v**(2\/13)*v))))\/v*v)**(-16) assuming v is positive.\nAnswer: v**(-1359\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/52)\/((-9)\/2 + 3). What is the nearest to 1\/3 in -0.27, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -24, -45, -76, -117?\n\"Answer: -5*j**2 + 4*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 1360.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 + 2*i + 1. Let t(h) = -36*h**3 - 1. Give l(f) + t(f).\nAnswer: -37*f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 175, 168, 159, 148, 135?\n\"Answer: -z**2 - 4*z + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28 + ((-1)\/1)\/((-4)\/(-4)). Suppose -c = 16*i - 25*i. What is the closest to -0.1 in -0.3, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -822 - 69?\nAnswer: -88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*b - 2*b**3 + 2*b**4 - 49*b + b**2 - 49*b to the form l + t*b**4 + n*b**3 + d*b**2 + q*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/20 - g**2. Let h(i) be the third derivative of -i**4\/2 + 452*i**2. Determine a(h(r)).\nAnswer: 432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 1. Let d(u) = u**2 + 2 + 0 + 4. Let g = 4 - -2. Suppose 0 = -3*w - 5*y + 561 - 533, -3*w + 2*y - 7 = 0. Give g*l(b) + w*d(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48243781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 90*g**2 + 80*g + 117. Calculate v(89).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1560 by 39.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 541 + -2c5?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 17 - 7 = 0. Let y(u) = 1 + u - z*u - 9*u + 2*u. What are the prime factors of y(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f**2. Let i(m) be the second derivative of -m**7\/1260 - 17*m**4\/12 + 8*m. Let y(t) be the third derivative of i(t). Give y(l(o)).\nAnswer: -512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t + t - t)*(-36 + 36 + 5*t) + 2 + t**2 - 2.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 - 384*j**2 + 1552*j = 0. Calculate j.\nAnswer: -388, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f + 404. Let x be b(0). Suppose -4*t + 3*a + x = -a, 493 = 5*t + a. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*i + 107*i + 115*i - 338*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 - a**2 - 2*a - 1. Let s be z(-1). Suppose 114 - 9 = s*o. Calculate the remainder when o is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - f + 1883 - 1950, 2*b + 2*f = 34 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 85*b**3 + 83*b**2 - 2. What is g(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13011 - 0?\nAnswer: -13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16206 + -8491. List the prime factors of a.\nAnswer: 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14123447321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21059 divided by 4.\nAnswer: 21059\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/90 + (-1756)\/(-5). Let s = l + -241. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 25, 4*t = -0*u + 3*u - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86129 is divided by 2116?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 - 4*r + 4. What is the tens digit of g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -164*v**3\/3 - 6*v + 56. Let g(m) = -m. What is g(b(c))?\nAnswer: 328*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*b - 783, -3*b + 0*b - 523 = -2*s. What are the prime factors of s?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2832*w + 3208 wrt w.\nAnswer: -2832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -331\/32, 5, -1901?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-20)\/(-16)*-3)\/((-25)\/40). Solve 23 = 3*v + 11, -g*x + 3*v - 32 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 19*i**2 + 29*i + 47. Let y be s(-19). Is 21 a factor of y*(2\/4)\/(24 + -25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*i**2*r + 10*i - 4*r + 13 wrt i?\nAnswer: 28*i*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 119*t**4\/12 + t**3\/6 - t**2\/2 - 4*t. Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((14\/63)\/((-4)\/6)). Suppose -7*d = -b*d - o, 3*o = -d - 13. What is the fourth biggest value in 4, d, -0.2, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*a - 0*y, 4 = a - y. Suppose d = -0*d + 3*z - 3, -5*z = 2*d + 17. Let g = a - d. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4393356 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - 4*n = 25*s - 25, 0 = -3*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s - 39*s - 64 = 0. What is the lowest common multiple of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2409439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6455? (a) -0.07 (b) -1 (c) -0.05 (d) 2\/19 (e) 4 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -9. Let c(i) = -i**3 + 6*i**2 - 5*i - 4. Suppose 5*k - 5 = 4*k. Let v be c(k). What is the nearest to -1 in v, f, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*g = -1065*g + 4*k - 14, -k = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 35*i**2 + 30*i - 142. Give z(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -228.256131 * 4\nAnswer: -913.024524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-18) - 5\/((-90)\/4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-55) + 31\/(-11). Let q(r) = 18*r**2 + 4*r + 7. Is q(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1941812613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -3 + sqrt(833))**2 - sqrt(833) - sqrt(833)) + 0 + sqrt(833)*1 + sqrt(833) + 2 + 5 + -4.\nAnswer: -84*sqrt(17) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8446066 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.561 times -59?\nAnswer: 387.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 718200973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5513781, 5513766, 5513751, 5513736?\nAnswer: 5513721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13\/2, -1\/17860, -0.1, 1?\nAnswer: -1\/17860","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 2 - sqrt(637)) + 2 - (sqrt(637) + 2 + sqrt(637) + 1 - sqrt(637)))**2 + -3 + 5.\nAnswer: -14*sqrt(13) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/77166 and -5\/426?\nAnswer: 5478786","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.077042 - -0.358858. Let k = 0.0359 - v. Round k to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -8 + (-8 - -32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 17*r - 213. What is f(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - f**5 - 2*f**5 + (-1 + 1 - 2*f)*(0 - 2*f**4 + 0) + f**5 + f**4 - f**4 + 7*f**5 - 8*f**5 + 4*f**5 + (f - f + 2*f**3)*(-5 + 5 + 2*f**2).\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times 216?\nAnswer: 8208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 - 1329*x**3 + 13653*x**2 + 259929*x + 244944 = 0. What is x?\nAnswer: -9, -1, 21, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3942 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 46*i - 87. What is x(-17)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -759, -1091, -1403, -1689, -1943, -2159?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 169 = -2*x - k, 2*k - 326 = -4*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + m. Let u(a) = -46*a - 15. Let f(b) = -1183*b - 385. Let x(v) = 6*f(v) - 154*u(v). What is 2*s(y) + x(y)?\nAnswer: 2*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, -17.3, -10, 1\/3, 0.4 in descending order.\nAnswer: 0.4, 1\/3, -0.21, -10, -17.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrxr when four letters picked without replacement from rrrrxrrrrxrr.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*z - 83*z = -10*z + 59*z - 7136 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7499 (base 12) in base 10?\nAnswer: 12789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 2, x: 2, j: 1, g: 1}. Give prob of picking 1 j, 1 g, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.79764 + -77.76324. Let i = r - -76. Let g = -30.6656 - i. What is g rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = o + 8. Let y be 0\/2*(o - 15\/(-10)). Put -5, 3, y in ascending order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8934*n**2 - 8542*n wrt n.\nAnswer: -17868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 147*g + 296*g - 446*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.7592185\nAnswer: 0.7592185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 11*o + 13. Let h be n(10). What is the least common multiple of 2 and 7\/(-7) + h + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -760910, -760886, -760852, -760802, -760730?\n\"Answer: d**3 - d**2 + 20*d - 760930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011100 + -1100010110111100?\nAnswer: -1100011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20384797 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by -2 + 2 + -5 + 10 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 539784 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, 60 in decreasing order.\nAnswer: 60, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 17*s**2 + 1316*s - 200. What is the ten thousands digit of d(-87)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4677*f - 18183. What is s(-4)?\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-2\/31))**(-2\/161) assuming u is positive.\nAnswer: u**(4\/4991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002178846 to 6 decimal places.\nAnswer: 0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6 - -7))\/(920\/1610)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10. Suppose 0 = -x*m - 3*m + 15. Suppose m*a = -5 + 11. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -101, -169, -247, -341?\n\"Answer: -m**3 + 4*m**2 - 69*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/((-3)\/(-15)). Let v be n\/6 + 75\/9. Suppose -r + v = l, 4*r + 0 - 8 = 2*l. Solve l*o + 9 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -306\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252659513 to the power of 1\/3, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907565.2ml to litres.\nAnswer: 907.5652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 61*y + 2. List the prime factors of p(2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**3 + 226*r**2 - 4772*r + 1872.\nAnswer: 2*(r - 13)*(r + 36)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/8 - 45*c\/4 = 0. Calculate c.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*v + v = -20, 0 = 2*v. Let h = -15 + 26. Calculate the remainder when h is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 + 8 + -7 + 26640 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 1588*s - 3 - 1977*s + 13.\nAnswer: -389*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208700347*x**4 + 113403932*x.\nAnswer: -2504404164*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 509, 1150, 2047?\nAnswer: 3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + x)*(-4*x - 5 + 5)*(-2*x**2 + 5*x**2 - x**2).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n = -9*n + 798. Find the first derivative of -51 - 25 - 17*z**2 - 52 - n*z**2 - 59*z**2 wrt z.\nAnswer: -194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 2 (c) 3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let t = 21 - 13. What is the highest common divisor of l and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 6)*(490*q + 281*q**2 - 490*q) as h*q**2 + k + m*q and give h.\nAnswer: -1967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25411, -25410, -25409, -25408, -25407, -25406?\n\"Answer: j - 25412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 8*m + 12. Let d be v(-10). Let o = -49 + 79. Is o at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 724*r + 720*r = -88, -b = 21*r - 462 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 4*p + 8. List the prime factors of r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -778\/243 (b) -4 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2557, -2559, -2561?\n\"Answer: -2*w - 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q - 1. Let x be w(1). Suppose 72 = 4*y + 5*d, y + y = 5*d + x. Suppose 15*n - y*n - 446 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 8*k + 72 = 0. Let g be ((-6)\/(-4))\/(3*14\/k). What is the fourth biggest value in -4, g, 2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 87 and 18559721926.7.\nAnswer: 18559722013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-6) - (-4)\/(-12). Suppose b + 0*b = -4*r + 17, -j*r = -4*b + 28. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - (-26)\/(-4). Suppose 0 = 2*s + 2*n + 30, -2*s + 5*n - 40 = -10. Let k = t - s. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9738, 19477, 29214, 38949, 48682, 58413?\n\"Answer: -i**2 + 9742*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32 - -17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*g + 5 - 5.\nAnswer: -136*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2524 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 9*d + 3. Let h be o(-8). Let z = 10 - 7. Put z, h, -3 in increasing order.\nAnswer: h, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*z - 11, -4*c = 5*z - 2*z + 21. Let v = -7 - -26. What is the remainder when v is divided by 3\/c + 30\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 4. Let z be d(-7). Let v = z - -9. Suppose -a - v = -3*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) + sqrt(66)*-2)*-5)*-4)\/((sqrt(96) - sqrt(6))*-5).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.041503 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 770?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a gram in milligrams?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:44 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7702 is divided by 641.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/116943?\nAnswer: 1\/116943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 3:21 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 7*z - 3113. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94081260 rounded to the nearest one million?\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from {v: 1, a: 1, q: 3, m: 1, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1220\/(-1094340))\/((-2)\/52)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 13\/2*q**2 - 15*q - 1. Let x(f) = 7*f - 8. Let z(m) = -6*d(m) + 11*x(m). What is the derivative of z(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45412 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - w - w = -1129, 0 = 2*o + w + 457. Let s = -157 - o. What is s rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 42*c**2 + 681*c + 128. Calculate s(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*z**3 - 4*z**3 - 3 - 3*z**3 + z**3 + 0*z**3 + (-4 + 4 - z**3)*(-3 + 1 - 1) - z + z + 2*z**3.\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t)\/t*t\/(t**(-2\/25)*t))\/(t*t\/((t\/(t*(t*(t*(t*t\/t**4)\/t)\/t)\/t))\/t*t)*t*t*t**6) assuming t is positive.\nAnswer: t**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-16))\/(((-650)\/(-80))\/(-13))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3\/19, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 345 and 50667.\nAnswer: 5826705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-2*k**4 + 3*k**4 + 2*k**4 + (-3*k**4 - k**4 - k**4)*(15 + 5 + 8))*(34 + 10 - 3).\nAnswer: -11234*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - (25222\/(-5) - -4). Suppose -4*v - a = -x, 6*a - a = -20. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9676590 to the power of 1\/2, to the nearest integer?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j**3 + 48*j**2 - 2*j = 0.\nAnswer: 0, 1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let c(m) = m**2 + 103. Let h be c(y). Suppose 7*b - 6*b = h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {k: 1, z: 2, w: 1, f: 2, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/8 + s**3\/2 - 3*s**2\/4 - 14*s. Factor d(p).\nAnswer: -3*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162665439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymgxgiryxymi. What is prob of picking 1 x and 1 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 454463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -47\/4. Let m = 0 + 3. Which is the nearest to 1? (a) -0.3 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 627, 940, 1203, 1398, 1507, 1512, 1395?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82872133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 18. Calculate r(21).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:14 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((-150)\/(-81)) - 5. What is the closest to m in 2\/31, -2\/15, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.085 + -0.485. Suppose -8*s + 4*s - 32 = 5*g, -5*g = 2*s + 26. What is the second smallest value in 6, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14730 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -45333928 divided by -1?\nAnswer: 45333928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3076234750796 - 1.22.\nAnswer: -3076234750797.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:42 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(1\/2*4). Suppose -q*p + 96 = 16. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.5\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -1 - (-15)\/3*2. Suppose 2*s - 22 = f*z - 12*z, 3*z - 17 = -5*s. Let t(u) = -4 + 0*u + 2*u - u. What is t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5, 7*x - 5*x = -3*t - 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -113156633.14179.\nAnswer: -113156632.94179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37081828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1+2239\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 31*z**4 - z**3 - z - 157. What is the third derivative of s(r) wrt r?\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 q when four letters picked without replacement from wquuquuuuuuuuuwqu?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 15*m + 72. What is d(-16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + h + 5312 = -h, -3*a = -2*h - 3188. Let s = -541 + a. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408366.1 rounded to the nearest 10000?\nAnswer: 2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 73. Let z = -20 + 97\/5. What is the nearest to 0 in z, 5\/2, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 31*u**3\/6 - 5*u**2\/2 - 2*u. List the prime factors of t(2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -169604 and 1?\nAnswer: -169604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -94403559190 to the nearest one million.\nAnswer: -94404000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o - o + 110. Suppose 2*k - 97 = -5*t, -t + 39 = t + k. What is the remainder when t is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*z + 12, 0*z + 2*z = -r + 3. Suppose -5*s - 23 = -z*c, 0 = c - 5*s - 8 - 3. Calculate the greatest common divisor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = p. Let r(x) be the second derivative of 0*x**4 + 2*x + 0*x**5 + 1\/10*x**6 + p + 0*x**2 - 1\/2*x**3. Find the second derivative of r(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/631 and -41\/275.\nAnswer: 173525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (85 + -74)*(-5)\/1. What is the common denominator of (9\/24)\/(15\/y) and -73\/436?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 4, a: 2, h: 1, n: 5, l: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -343*u**5\/20 - 9*u**4\/4 + u**3\/3 + 146*u**2 - 2*u. Find the second derivative of l(a) wrt a.\nAnswer: -2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 7:52 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6143 divided by -20320?\nAnswer: 6143\/20320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by -608.\nAnswer: -85\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22208 + 1b?\nAnswer: 22227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 259044728 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: Simplify (((sqrt(22) - 2*sqrt(22))\/sqrt(2) - (4 + -1*sqrt(11)))*1)**2 - (-2 + (sqrt(275) - (-3 + sqrt(275) + 2 + sqrt(275))**2)).\nAnswer: -25*sqrt(11) + 1119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 639 (b) 10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 1. What is the lowest common multiple of y and (5\/(-60)*-6)\/((-2)\/(-20))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**7\/630 - 4*q**6\/135 + 8*q**5\/45 + 25*q**3\/6 + 26*q**2. Let o(f) be the first derivative of x(f). Factor o(y).\nAnswer: 4*y*(y - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.025, -6, -1.02?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.4194 rounded to zero dps?\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1087 + -995. Calculate the remainder when q is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 = 2*u - 4*y, 71 = 3*u + 2*y - 579. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeeeejj. What is prob of picking 3 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + 27. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534.26381 rounded to the nearest ten?\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 - 5*o**2 - 7*o - 5. Let l(n) = -8 + 14*n**3 - 13*n - 8*n**2 + 2*n - 8*n**3. What is 5*l(m) - 8*z(m)?\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/14466 and 101\/6.\nAnswer: 14466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 59932 = 7*h + 12672. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 91\/(-39))*(-50613)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syscscccyccsyc. What is prob of sequence ys?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 - 27*p**3 - 3*p**3 - 19*p**2.\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 greater than or equal to 66018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 2 i when four letters picked without replacement from {u: 1, i: 2, c: 5, x: 2, b: 2, g: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 663.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 10. Let q(s) = 5*s + 30. Let o(l) = 8*h(l) + 3*q(l). Let x be o(6). Solve 2*n = -v + x, 0 = -5*n + 5*v + 11 + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158082*b**3 + 1118*b**2 - b - 16 wrt b.\nAnswer: 948492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 - 4*g + 4*g)*(1 + 4 + 3) + g**2 + 3*g**3 - g**2.\nAnswer: 51*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90475 - 37374 = 528*j + 1099*j - 18840 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, 0.2, 2\/39, -2?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l + 2 + 3 + 13*l - 1. Let z be 1\/3 + 7\/(-3). Let w be -1 + 1 + -1 + z. Calculate s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(6\/((-15)\/(-5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*b - 25, 0 = -3*b - 4*g + 56 - 85. Let w(y) = y**2 - 2*y - 4. Let c(x) = -2*x**2 + 5*x + 7. Determine b*w(m) - 4*c(m).\nAnswer: m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -722?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let f(v) = -81016149*v**2. Give z(f(s)).\nAnswer: 13127232797580402*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjhxuuunhuuh. What is prob of sequence hxu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.4 + -11. Let o = k - 3. What is the second biggest value in -0.4, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80450 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyyyyyyyyyyyy. Give prob of sequence yt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3150)\/(-147) + (-3)\/7. Let t be p\/(-728) + 8\/52. Find y, given that -3\/8*y - 1\/8*y**3 - t - 3\/8*y**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -552488, -1104935, -1657310, -2209577, -2761700, -3313643, -3865370, -4416845?\n\"Answer: 6*z**3 - 552489*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 20. What is the least common multiple of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 8 + 2. Suppose -o*p - g + 53599999 = -0*g, -p + 26799997 = 3*g. Round p to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1711, 1713, 1717, 1723, 1731, 1741, 1753?\nAnswer: 1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37381859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 12*a**2 + 8*a - 16. Let z(k) = -2*k**3 - 23*k**2 + 15*k - 32. Let f(p) = 7*h(p) - 4*z(p). What is the tens digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453 - 0.2.\nAnswer: -453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 236, 301, 346, 365, 352?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 5*s - 32*s)*(-2 - 83 - 14).\nAnswer: 3069*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/216 and 55\/8952552.\nAnswer: 8952552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62844, -62845, -62846, -62847?\nAnswer: -62848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, -10166, -1\/3, 0.11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 201 + 610 - 23 + 190 + 157. Let r(k) = k**2. Give u(r(j)).\nAnswer: -j**2 + 1135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2622 by 69.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/5 + 7\/10. Sort -0.1, g, -0.01 in increasing order.\nAnswer: g, -0.1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 10888*x + 376180.\nAnswer: 4*(x + 35)*(x + 2687)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 30 = 6. What is the smallest common multiple of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/9 - -29\/99. Let c = -116 + 108.9. Let d = c + 7.2. Put d, p, 3 in increasing order.\nAnswer: d, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2281416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87748, 175497, 263244, 350989?\n\"Answer: -l**2 + 87752*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.5 + -6.624. Let w = m + 0.424. Sort 0.2, 0.5, -1, w.\nAnswer: -1, 0.2, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.4 and 21852939101.\nAnswer: 21852939103.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + w + 7, -3*w + 0*w + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2427813)\/6180)\/291*(5 - -1 - 1)\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14355131*u**5 + 460*u**2 - 15703 wrt u?\nAnswer: -861307860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -631668, -631664, -631660, -631656, -631652?\nAnswer: -631648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.88 + -0.12. Let c = -16 + 18. Let x = -2.4 + c. What is the biggest value in u, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.496 + -0.096. Sort -7, d, 5, -0.3 in descending order.\nAnswer: 5, d, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*x**5 - 9*x**4 - 305*x**2 wrt x.\nAnswer: -1140*x**2 - 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1}. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 r when three letters picked without replacement from {i: 4, y: 4, m: 1, r: 7, p: 1}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 3734*v**2 - 22389*v + 119. Give p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00824694 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c\/(c**(-1\/2)*c))))**(-13)\/(c**(-5\/6)*c**4\/c)*(c*c**(-1\/4)*c*c*c**(-3))**10 assuming c is positive.\nAnswer: c**(-223\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168611084 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 96*n - 6. Let i(m) = -383*m + 28. Determine -9*b(x) - 2*i(x).\nAnswer: -98*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223 - 24?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 28 = -c, -3*c - 2*s + 20 - 6 = 0. Suppose 32 = -c*p + 16*p. Suppose 2*m - 364 = 3*w, 0*m - m + p*w + 187 = 0. List the prime factors of m.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 141*z. Let r(w) = -4*w**2 + 3*w + 32. Calculate v(r(u)).\nAnswer: -564*u**2 + 423*u + 4512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505377931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-509 + 316 - 424 + (4 - 2 - 3)*(-2 - 1 + 1))*(3*g**2 + 0*g**2 - 5*g**2).\nAnswer: 1230*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.05242\nAnswer: -0.20968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -1405*h + 1407*h + 3, -4*c + 48 = 4*h for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 190 - 190 + 2*g**5 + (-2*g**3 - 3*g**3 + 3*g**3)*(g + g**2 - g) - 3*g**5 + 4*g**5 - 3*g**5 - g**5 + 2*g**2 - 2*g**2.\nAnswer: -3*g**5 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(3\/8)\/u)\/(u*u\/(u\/u**(-1\/4)))*(u**(-2\/5))**(-28)*((u**(-7)*u*u)\/(u\/(u**(1\/5)\/u)*u))**(4\/11) assuming u is positive.\nAnswer: u**(703\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 6. Let s be m(-4). Suppose -15 = r + 25. List the prime factors of ((-4)\/((-96)\/66))\/(s\/r).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215089777 or -215089778?\nAnswer: -215089778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7\/(-57)) - 984\/(-123)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*t = -3*t + 86*t + 1392 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {z: 1, q: 9, g: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88d0 (base 16) in base 8?\nAnswer: 104320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2550000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 358 + -331. Suppose -f*r + 583 = -848. Which is greater: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**4\/36 + 16*x**3\/9 - 128*x**2\/3 - 6*x - 49. Let m(w) be the first derivative of i(w). Suppose m(g) = 0. Calculate g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 9*s + 3. Let n be z(9). Sort 1, -2, n in descending order.\nAnswer: n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142467 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4546 from -0.051.\nAnswer: 4545.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(-44*(-203)\/(-14036)).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = x + 8, -1 = -4*w + 4*x + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31673551?\nAnswer: 7, 13, 19, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 8*a)*(-2 + 0 + 5) + 0*a - a + 2*a in the form r + j*a and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from ffkfjzzfkzzff?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 9) in base 15?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 45. Let v = -20.4 + d. What is the third smallest value in v, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -19\/42*j**7 - 7*j + 0*j**4 + 0*j**2 + 0 + 0*j**5 + 1\/6*j**3 + 0*j**6. Find the second derivative of w(z) wrt z.\nAnswer: -380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 19*q + 52. Let s be t(-8). Let o = 103 + s. Let z = 4 - 2. Is z != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -3\/4, 42, 0.059, -1, -11?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 4 (b) -3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -390.1 + 354. Let m = 34 + w. Let u = 2.10003 + m. Round u to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.2564l to millilitres.\nAnswer: 168256.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5456, -5487, -5538, -5609?\n\"Answer: -10*u**2 - u - 5445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6 = -2*l, 86*i = l + 87*i - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:45 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v**2 - 10*v + 4. Calculate the lowest common multiple of b(1) and 185.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -11. Let t be ((-2)\/(-6))\/(3\/54). What is the units digit of z - t\/(1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 14?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1276\/25, -4, -2, -3, -0.5, 70 in decreasing order.\nAnswer: 70, 1276\/25, -0.5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14 - 5 = 2*f, -3*o = 4*f - 39. Let s be 1 - (f\/(-4) - 18). Suppose 2*c = s - 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 158*j - 283. Let n(t) = t**2 - 248*t - 424. Let h(d) = 5*n(d) - 8*r(d). Suppose h(g) = 0. Calculate g.\nAnswer: -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67793 + -1423957\/21. Let s = b + 8\/7. What is the common denominator of s and -9\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -18*y + 34*y + 105, 0 = 2*h - y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/10 - 558\/(-2).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2810 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1242.4 * 2334.\nAnswer: 2899761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696241 and 1911?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8295 divided by -35?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p + 16. Let q be m(6). Suppose 0 = 11*c - q*c + 515. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1564, 687, -1688, -6305, -13908, -25241, -41048, -62073?\nAnswer: -89060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 40 - 18 - 6*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 49, 88, 163, 286, 469, 724, 1063?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddeeddedddddedded.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2 - 2*x - 8. Let t(m) = -3*m**2 - m + 1. Let s(n) = 4*t(n) + v(n). Calculate s(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 1309659.\nAnswer: -1, 1, 1309659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 754815407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Suppose 5*q - 18 = w*x, -3*q + x = -x - 11. Suppose -2*o + 28*n - 26*n - 4 = 0, 2*n = 5*o + 4. Solve 0 = -o*m - q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by 12?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 2*q**2 + 6*q + 2. Let g be s(-5). Let i = 49 - 15. Let v = g - i. What is the highest common divisor of 39 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 68*a - 952. Calculate y(-49).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412473807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.9 - 74. Let r = h - 3. What is the biggest value in r, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6124 + -0.4096. Let z = o + 6. Let l = 0.288 - z. Round l to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11609 - -11608.2331. Round k to 2 decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) 0.08 (c) 0.5 (d) -1 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 84, -3, -45688 in descending order.\nAnswer: 84, 5, -3, -45688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 211039, 211061, 211101, 211159, 211235?\n\"Answer: 9*r**2 - 5*r + 211035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2145430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + j = -129, 2*m + 2*m + 4*j = 144. What is the highest common factor of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201311\/24 - -8385. What is the common denominator of q and 34\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 203 (b) 219 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020381917?\nAnswer: 53, 19252489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 160 + 160.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Let c(z) = -1309719*z. Calculate o(c(r)).\nAnswer: -1715363858961*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11700 divided by -90.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/132 and 67\/1464.\nAnswer: 16104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466003 less than or equal to -2\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48522? (a) 5 (b) -2\/7 (c) -5 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(20))\/(2*sqrt(640)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*d = 10, -4*k - 5*d - 158 = -150 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 9*n - 108. Solve 0*j**3 + j - n*j**2 + 3*j**3 + 11*j = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13959*f**3 + 10728*f**3 - 4762*f**3 + 8935*f**3 - 5546*f**3.\nAnswer: 23314*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3434\/52839 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 + 8*f**2 - 16*f = 0. What is f?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86\/(-21) + -35 + 39)\/((-26)\/(-2912))?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/6 - 6*w. Let o(i) = 2*i. Calculate o(b(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9909\/2294257 - 2\/487. Let q = -230829\/47110 - n. Find the common denominator of -17\/14 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.06, 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 5*f - 2485. Let o = f + -120. Suppose 1203 + o = 4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -97, -216, -359, -532, -741, -992, -1291, -1644?\n\"Answer: -z**3 - 6*z**2 - 94*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 3:38 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4077*c**3 + 9*c**2 + 30410 wrt c?\nAnswer: 12231*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-114)*5*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**2 + 78*z**2 - 78*z - 36*z**2 + 22*z.\nAnswer: 6*z**2 - 56*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - 2*y + 2. Let l(p) = -21*p**2 - 45 - 4*p**3 + 77 + 10*p - 43. Calculate -11*i(o) - 2*l(o).\nAnswer: -3*o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1613 = 5*g, -8*g + 4*g - 533 = -t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 15 = 3*g + 5*h, -4*g - 5*h - 15 = 0. Suppose 0 = 3*n - g*n - 24. Is (-18)\/n*(-40)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84983377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - -4.4. Put -3\/2, k, 3 in increasing order.\nAnswer: -3\/2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3 - 74) + (-38 + -5 + -6 - -37).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - g + 49. Let f(k) = -k**2 - 6*k + 5. Let d be f(-5). Suppose q + 4*q + 5 = -v, -4*q + 2*v + d = 0. Is a(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7336*s**3 - 3665*s**3 - 3686*s**3.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 84. What is the highest common factor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.694807 decades?\nAnswer: 0.07694807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3)**(2\/47))**13 assuming y is positive.\nAnswer: y**(78\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7423.026 to the nearest 10.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 11. Let q = m + 87. Calculate the remainder when 2*3\/(-2) + q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 443*n**2 - 966*n + 37001. Determine p(441).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14821*x + 14825*x - 7312. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*o - 5*g, 4*o - 1 = 2*g - g. Let n be 1\/(-1)*o\/2. Solve n = 3*h + 2*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5860 - (-4)\/12*3. Let m = a + 58671\/10. What is the common denominator of m and 19\/74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -3.2 (c) 5 (d) 0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5779365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18)*15*(-66)\/(-88)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 173. Calculate the remainder when o is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003477289827 rounded to five dps?\nAnswer: 0.00348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrbjcbjbrcjrjrbrpbr. Give prob of picking 1 r and 1 p.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186.66 + 189.26. Which is greater: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 3*c**4\/4 - c**3\/3 + 9*c**2. Let i be x(2). Let l be -3 + 108 + -2*6\/4. Calculate the highest common factor of i and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v)**(-36\/7)*(v*v\/v**5*v)\/(v**3*v) assuming v is positive.\nAnswer: v**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpxxxphxjxj. Give prob of picking 2 p and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 3*v**4\/2 - 62*v**3\/3 - 62*v**2 + 48*v - 95. Factor b(l).\nAnswer: 2*(l - 12)*(l + 2)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 917, 0.9, -0.4, -9, 5, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from ttztj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10)\/(-2*(-3)\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*i**2 - 2\/7*i**3 + 2\/7*i - 2\/7.\nAnswer: -2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038909921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*t + 1, n - t = -2*n + 19. Solve -10 = -3*x + c, 2 = -3*x + x + n*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518*s = 577*s - 3481. Calculate the remainder when 252 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 715 + 691 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 5*x**2 + 10*x**2 + 4*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/7840 and -71\/10976.\nAnswer: 54880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -39.16. Let z = a - 2.16000454. What is z rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407 and 223073.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + x = 20, 9*u + 30 = 4*u + x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, -w = -2*n + 3*w + 20. Suppose -2*j - 8*j + 10 = n. Let i be -1 + (-2 - (-12 - 0)). Sort j, i, 5.\nAnswer: j, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*m = 2*m, 0 = -3*h + 5*m. Solve 19*o + 9 + 67 = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*j + 3*s, 2*j - 5*s + 14 + 4 = 0. Let f(m) = -6*m**3 - 4*m**2 - 4*m - 3. Let r(x) = 7*x**3 + 5*x**2 + 5*x + 3. Calculate j*r(o) - 5*f(o).\nAnswer: 2*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148261\/2 or -74131?\nAnswer: -74131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 2. Determine y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1)\/((-1)\/(-38)). Let w = -57 - c. Let j be (3 + -1)\/(4\/6). Solve j*y = 4*m, -2*y + 6*y = -m - w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61026.75 rounded to the nearest one thousand?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-14) + (-93)\/756*6. What is the nearest to 0.3 in a, -5, 4\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*((sqrt(5) - -4*(sqrt(5) - sqrt(405))) + sqrt(605) + -4)**2.\nAnswer: -16128 - 1280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 - 76\/(-18). Suppose -v*r = -r, 4*y = -3*r + 8. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1915 - 38309\/20. Let h = -19\/16 - -91\/80. Let u = g + h. What is the closest to u in 0.3, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 20*i**2 - 39*i - 1. Determine m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 4*u + 2. Determine c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 - -82. Suppose 8*c - r*c + 6 = 0. Let w(o) = -8*o**3 + 0*o**3 - 2*o**3. What is w(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccnccmkdccddmd. Give prob of sequence kdd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12.023. Round j to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/3 and ((-1)\/(-2340))\/(9\/(-3474))?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -167545227.9424 and 0.22.\nAnswer: -167545227.7224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2887*u**2 + 46280*u - 1405. Determine x(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 29 = 2*g, -g - t = -3*t - 27. Suppose -v = -0*v + g. List the prime factors of (v + 2)\/(-4 + 3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1) + ((-23)\/12 - 2). Let t = d - -17\/12. Let f = -0.1 - 0. What is the smallest value in -2, t, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w + 6. Suppose 4*h = -5*k + 19, -3*h - 9 = -w*k - k. Suppose -k*u = -12 - 12. What is the least common multiple of u and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13990?\nAnswer: 2, 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:35 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b - 191. Let d(a) = 2*a**2 + 7*a + 9. Calculate the remainder when d(-7) is divided by u(-28).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1071, 4, -10\/11 in ascending order.\nAnswer: -10\/11, -0.2, 4, 1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i, -3*i + 179 + 253 = 5*k. What is the common denominator of 41\/14 and ((-7)\/(-24))\/(4\/k)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*l + 6. Let w be (-4868)\/(-12)*6\/l. Is (-3 + (8 - 4))\/(2\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 14.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176 - -208. Let p be m\/15 - (-26)\/(-195). Solve -p*g = 2*v + g + 17, v = 5*g + 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -5*h**2\/2 + 6*h - 276. Let u(f) = 4*f - 7. What is -7*u(k) - 6*x(k)?\nAnswer: 2*k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**8\/336 - b**5\/24 + b**3\/3 + 4. Let i(l) be the third derivative of z(l). Find the second derivative of i(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15204131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11496 + -0.11.\nAnswer: -0.22496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 - 5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 2912 + 482 = 0. Calculate the highest common factor of z and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2718*t - 126 + 2706*t + 19.\nAnswer: -12*t - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (55\/(-99))\/5*(-3 + 0). Let y = -16 + 10. Let u = y - -2. Which is the nearest to v? (a) u (b) 3\/7 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.0064, 0.1 in increasing order.\nAnswer: -0.0064, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d + 59. Let b be (-22 - -23)\/(1\/(-7)). Let h be g(b). Solve 8 + 1 = h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35435.92 to the nearest 10.\nAnswer: -35440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 342?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 11*b - 8*b. Suppose 25 + 0 = b*f. Find the first derivative of -5*u**3 + 5*u**2 + 2 - f*u**2 + 1 wrt u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -235613.128288 + -2.671712. Let k = o - -235617.79999973. Let t = 2 - k. What is t rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.97*2395.\nAnswer: 9508.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24 + -19)*(12\/3 - 3). Let s = 84 + -89. Which is the second biggest value? (a) s (b) t (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**5\/60 + m**4\/8 + m**3\/6 + 23*m**2\/2 + 150. Let b(s) be the second derivative of t(s). What is b(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (30 + (-18 - 0) - 47) - (2 + 0).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-200)*12*(-4)\/2\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4*j + 5, 2554*p - 2550*p - j - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9188151409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 102. Let j = -39 + p. What are the prime factors of j\/8 + (-534)\/(-8) + 7?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzczcczzcvzv. Give prob of picking 2 c and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 4*b = -12, -3*n + 4*b = -26. Calculate the highest common divisor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.015, -1\/10, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23901?\nAnswer: 3, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 8. Let i = -14 + 11. Let d = p - i. Solve -4*f + m - 5 = 0, d = 3*f - 3*m - 0*m - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -340 + 338. Let d(p) = 3*p**2 + 4*p - 1. What is d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/((t**(-1\/5)*t)\/t*t)))\/(t**(-7)*t))**(24\/7) assuming t is positive.\nAnswer: t**(936\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 1001?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.47 (c) 225 (d) -239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/12 - 2*a**3\/3 + a**2 - 2*a. Let k be d(-5). Let s(c) = -c**3 - 2*c**2 + 2*c + 1. Is s(k) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81502 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -9 - 0. Let m be (-2*1\/3)\/(5\/w). Let r = 0.07 + 2.93. Which is the nearest to 2? (a) m (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-15)\/4)*4. Suppose -3*t + 10 = z, 8 + 10 = 5*z - t. Suppose 5 = 2*g - 6*g - 5*h, 4*g = z*h + 4. Sort -1, g, c in increasing order.\nAnswer: -1, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m + 29491 - 29715 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -4, -962, 4 in ascending order.\nAnswer: -962, -4, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 - 26*n + 2. Let t = 24 - 19. Let u be f(t). Calculate the highest common divisor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**3 - 35*p**3 - 28*p**3 + 164*p**3 - 80*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3173447.\nAnswer: 163, 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 136770363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 966552510 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 8:25 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*r + 2*r + 144, -5*n = -30. Calculate the highest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 3. Let i(j) = -3*j + 2. Let y be i(-2). Suppose 0 = 5*o - y*o + 3. Let z(a) = -a - 1. Let k(p) = o*u(p) - 6*z(p). Determine k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(-16) + (-3)\/12. Put t, -3, -2, 1 in decreasing order.\nAnswer: 1, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*u + 53, 0 = -2*g + 3*u - 3 - 33. Let x = -46\/3 - g. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j - 46. Suppose -2*x - 11 = 11. What is the units digit of g(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 524 + -309. Let v(d) = -d**2 - 5*d + 14. Let a be v(-7). Suppose 3*u + 105 = f, -2*f - u + 2*u + r = a. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517 by -57409.\nAnswer: -47\/5219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002220298792 rounded to 7 decimal places?\nAnswer: -0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 28, 21, -4, -53, -132, -247?\n\"Answer: -t**3 + 12*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 379, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y)**(39\/2)*y**(-6)\/(y**5\/y))**(-13\/6) assuming y is positive.\nAnswer: y**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(2)*4 + sqrt(21) - (sqrt(1344)*-1 + sqrt(1344)))*6)\/(((1*sqrt(175)*-6 - sqrt(175)) + sqrt(175) + sqrt(175) + sqrt(175))*4).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4319 divide 3374240345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2712 take away 5?\nAnswer: -2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*b + 6*o + 32, -2*b - 3*o = 0. Let w be 39*(b\/(-9) - -1). Put -3, 1, w in increasing order.\nAnswer: -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2, 81 in decreasing order.\nAnswer: 81, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 15*k**2 - 12*k + 7. Is s(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1330\/(-280)*25\/45*1\/10*12.\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 30 = -3*y - 3*g, -2*g = 4*y - 44. Let d(i) = 60 - 60 + i - y*i. Let c(n) = -3*n. What is c(d(o))?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + f + 10 = 2*f, 0 = -5*b - 5*f - 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5 - 18*f**4 + 123*f**3 - 394*f**2 + 576*f - 288 = 0.\nAnswer: 1, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -71. Let h be 4 - (1 + b - -8). Let m be (-5)\/20 + (-26)\/(-8). Solve a + 2*a = -6, -5*i - m*a + 9 = h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 27*m**2 + 59*m + 225. What is the ten thousands digit of y(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 + 490\/3. Let g = -2078 + 2065. What is the closest to i in -3\/4, 4, g?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 25*d**2 - 70*d + 69. Let m be t(21). What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22730000 to the nearest one hundred thousand.\nAnswer: -22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2480)\/465*2\/((-8)\/6). Suppose 0 = -q*f + 5074 + 1230. List the prime factors of f.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + 11*y**2 + 22*y + 5. Let i be d(-2). Let a = 18 + i. What is the closest to 1\/2 in a, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532848?\nAnswer: 2, 3, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + (10 - (-4)\/(-4)). Which is the biggest value? (a) 0.3 (b) -42 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*i**4 + 101011*b*i**3 + 16317*b*i**2 + b + 6*i**3 - 2*i**2 + 2 wrt i?\nAnswer: -72*b*i + 606066*b + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) 0.5 (c) -3\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 13*k + 27. Let a be c(-11). Let d be (a + -3)*-1 - -5. Solve 5*s + 7*u + 3 = 3*u, 0 = s - u - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 - 1. Let v be -4 - (3 - 21\/3). Suppose 3 = 3*l, s - 26 = -v*s - l. Let m = 27 - s. Determine y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 12:41 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7e0 (base 16) to base 2\nAnswer: -11111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 + -114. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.2 + 12. Let r = 1.6 - n. Let w be (3 - (1 - 0)) + 2. Which is the second biggest value? (a) w (b) -0.01 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4558 and 1204?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97412 and 55216?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + j**2)*((-2*j - 2*j + 6*j)*(0*j - 2*j + 0*j) + 4*j**2 - 2*j**2 - 12*j + 15*j).\nAnswer: -2*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 14. Let p be r(6). Let n be p\/10 + 42258\/(-15). Is n\/(-5) + 6\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 2*a - 4, -5*b = 4*a + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137216 and 1809?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d + 6*d + 4 + 1 + 4*d + 26*d to q*d + z and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/6*-4 - (-4 - -1). Suppose 43*n = y*n + 820. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 7053*v + 70753. Determine j(10).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -234 (c) -4\/5 (d) 2.8319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107646, 107654, 107676, 107718, 107786?\nAnswer: 107886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25474 and 1897?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5)**31 assuming c is positive.\nAnswer: c**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -798*o - 47. Give b(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 13*y - 5. List the prime factors of x(11).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/9 + 2316*f - 20843\/9.\nAnswer: -(f - 20843)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210501524 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 0) + (1 - 5). Let f be (v\/4)\/4 + 3. Find q, given that -5*q**3 + 4*q + 8*q**2 + 5*q**3 - 8 - 4*q**f = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18968609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 6. Let q be c(6). Let p = -7 - -9. Solve p*y - 8 = q*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 36*y**2 + 17*y - 5. What is the units digit of r(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 8*u - 192. Let n = 14 + u. Let x = 105 + n. Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 4*x - 6. Let y be (-10)\/30 + 19\/3. Let g(d) = 2*d**2 - 3*d + 5. Determine y*g(j) + 5*s(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 - 7*c + 7. Let x(f) = -4*f**2 + 4*f - 3. Calculate 2*o(q) + 5*x(q).\nAnswer: -2*q**2 + 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.395 - 9.395. Sort 1\/4, g, -25, -19 in ascending order.\nAnswer: -25, -19, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -1433\/9. Find the common denominator of 3\/(5 + (-452)\/92) and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 4*v**2 + 5*v - 5. Let r be t(-5). Let m = -3\/11519 - 69093\/80633. Which is the third biggest value? (a) 15 (b) r (c) m (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50901.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 5*c**4\/24 + 8*c**3\/3 + 12*c**2 - 2*c. Let q be x(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: Suppose 8 = l - 10. Let u be l\/(-2)*(-2)\/3. Suppose -5*f + u*f = 50. What is f rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 67. Let u be (-47)\/f - (-1)\/4. Let v be (1\/(-5)*u)\/(8\/(-40)). Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from fzffzfzfffzzfzfzzzz?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.6 (c) 2 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:21 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3090960 and 6181920.\nAnswer: 6181920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 372 - -221772?\nAnswer: 222364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/32*(-833 - -1). Suppose 3*z - 869 = -2*g - 41, -5*g + h = 5*z. Is 60 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585781?\nAnswer: 7, 67, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 11*q + 17. Let g be v(9). Let h = 0.14 + 0.16. Which is the closest to g? (a) 2\/9 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 3, i: 1, l: 2, t: 4}. Give prob of sequence dri.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 14*s**2 - 33*s**2 + 8*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -27*k + 2150. Let y = k - -3621. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-2)\/n*n))**(-1\/14))**(-2\/29)\/(n**(-3)\/(((n*n**(-1))\/n)\/n)*(n*n*n\/(n**(-1)\/n*n))**40) assuming n is positive.\nAnswer: n**(-32274\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-11))\/((-760)\/(-616) - (-112)\/(-98))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 25 - 19)*(0*h + 0*h + h + (h + h - 4*h)*(-4 + 4 - 1)) as b + p*h and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2544671161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20935 + 20935.13967. What is a rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18637 - 18635. Suppose 3*j - 4 = -8*v + 3*v, 0 = -4*j - 4*v. Let d be 6\/(1\/j*-3). Solve d*b = w*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -547 + 551. Solve 0 + h = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -9 + 6 - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4654654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 227 = r, 0*f - 5*f = 2*r - 476. Let h = -1278 + 1312. What is the remainder when r is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259 + 901. Let x = l + -634. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3507*p + 3514*p + 42 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*p**(-12\/11))*p)*p**(1\/7)\/p assuming p is positive.\nAnswer: p**(-150\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553 + 8 = -109*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76 + 9 + -10 + 1. Calculate the greatest common divisor of i and 399.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6) + (3 - 5) + (-9 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 449656.9 + 0.13049\nAnswer: 449657.03049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*y = 19, -5*g + 8*y - 4*y - 35 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4025 and 93\/4734550?\nAnswer: 33141850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 5*p**2 + 3*p - 13. What is the least common multiple of 7 and t(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 + 19*k**2 + 64*k + 44 = 0. Calculate k.\nAnswer: -2, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, 7235\/3, 2, -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9628 - -10818. Calculate the greatest common divisor of x and 1715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4281, 4288, 4299, 4314?\nAnswer: 4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/95550 and -113\/122850?\nAnswer: 859950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -271 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153) - (1*sqrt(153)*2 - sqrt(153)))) + sqrt(153) - sqrt(153))\/(sqrt(144) - -1*sqrt(144)))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101110000000100100011 + -110?\nAnswer: 10100101110000000100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5306255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5452 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/11 + 6*d\/11 - 4\/11 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 13) to base 15.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 20. Suppose -f - f + u*n + 60 = 0, -f + 27 = -5*n. Let k = -33 + f. Sort 2, k, 4.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r + 0 + 1\/6*r**3 + 0*r**2. Let u(y) = y**2. Calculate q(u(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*k - 11 = -0, 19 = 3*w - 2*k. Suppose -w*g = 2*q - 66, 3*g + 2*g = q - 20. Is 31 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498664 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 6*z**2 - 7*z**2 + (0 - 3*z + 0)*(z - 5*z + 0*z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2*r + 10)*(-42*r**4 - 35*r**4 + 113*r**4).\nAnswer: 72*r**5 + 432*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 1 - (3 + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26283919 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*w + 49*w + 49*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 11*o**2 - 104*o - 739. Determine f(-10).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*o + 95*o - 51*o + 33*o.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - s - 12, 3*s - 335 = -2*j - 316 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5 + 12*l - 4 - 48*l**4 + 60*l**4 - 8*l**3 - 5*l**5 - 8*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 12075*f**3 - 35*f**2 - 10*f + 7. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -482.313 and 57.\nAnswer: -27491.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10.241 or 7.3181?\nAnswer: 7.3181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581246.\nAnswer: 2, 290623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 118, 175, 232, 289?\n\"Answer: 57*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 603?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*s + 7 + 164. Let r(x) = -x**2 + 6*x + 30. Let z be r(s). Solve 3*d + z*u + 5 = -1, 5*u = -3*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 18. Let d be (-8)\/(-24) + 11\/n. What is the derivative of d*s - 4 - 7*s - 5 - 4*s wrt s?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46988.6 - -1118.\nAnswer: 48106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146.69 - 162.4684. Let v = y + 15.628391. Let k = v + 0.15. Round k to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + (-6 - (-6 - -4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3590 and 67423790.\nAnswer: 67423790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2012 is divided by 289?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41129 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 5*v - 70. Let p be v\/10 + 2\/1. Which is the nearest to 3\/5? (a) p (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 276, 278?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.733 + -2.8. Let r = s + 3.067. Let c = -2.99862 + r. Round c to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 450 - 829. Let x = k - -389. Which is the closest to 1? (a) 1 (b) x (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-23)\/5)\/((101\/528028)\/(10\/(-8)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154360 by -17.\nAnswer: -9080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 4958?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3713 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 8 - (4 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -920, -928, -940, -956, -976, -1000, -1028?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2*y - 14. What is f(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/10 - 228430229*w**2\/10 + 2609018453206599*w\/2 + 2609018498892645\/2.\nAnswer: (w - 114215115)**2*(w + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2129*n - 18*n**2 + 2129*n - 1972.\nAnswer: -18*n**2 - 1972","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.795 - 15.8. Let r = 0.505 + s. Put r, -1\/3, 3 in decreasing order.\nAnswer: 3, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**2\/2 - 20. Let a(v) = -10*v - 1. Let u(j) = -2*a(j) - 7*d(j). Give u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5824989 is divided by 341.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 898\/5 - 180. Let o = 141.3 - 141. What is the nearest to 2\/5 in o, -3\/16, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53118 and 180.\nAnswer: 531180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, w: 3, x: 3, z: 1, j: 2, e: 1}. What is prob of picking 3 x?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 200920640 to the nearest one million.\nAnswer: 201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 - 35443130*l - 314053866049225 = 0. Calculate l.\nAnswer: -17721565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5. Let y(d) = d. Let q(r) = -11*r**2 - 9*r. Let z = -228 - -229. Let o(k) = p*y(k) + z*q(k). What is the second derivative of o(b) wrt b?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/2)*u**(3\/2))\/((u**(1\/3)*u*u)\/u)**(-49))**(-36))**(-2\/143) assuming u is positive.\nAnswer: u**(4848\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287507*r**4 + r**3 + 52*r**2 + r - 2284?\nAnswer: -6900168*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3566137 is divided by 780?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 150875?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -9. Let n(f) = -f**3 + 4*f**2 + 7*f - 7. Let v(w) = -w**2 + 9*w - 9. Let q be v(7). What is the remainder when b is divided by n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4126493913052 and 4?\nAnswer: 4126493913056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 107?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**3 - u**2 + 6. Suppose -18*o + 13 = -19*o. Let h(m) = -17*m**3 + 2*m**2 - 13. What is o*q(j) - 6*h(j)?\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + q + 18 = 0, 5*q = 3*i + 18 - 40. Solve -62*l = -63*l + i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94989*k**3 - 18487 + 18487.\nAnswer: -94989*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-51*(-4)\/6. Suppose 0 = a - 6*a + 95. Let v = g - a. What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -140, 0.1607, 6?\nAnswer: 0.1607","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 48*o + 30 = -44*o, 0 = -3*d + 5*o - 46. Sort 0, d, -216.\nAnswer: -216, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384242868.\nAnswer: 2, 1097, 315461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 11 = -w + b, 0 = 2*w - 2*b - 6. Suppose -7 = 2*n - w. Suppose 6*a + 2 - 80 = n. Solve a + 2 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 358, 814, 1454?\nAnswer: 2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2740000 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12) - 61*11\/(-66)*-1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + -61. Let f = d - 42. Sort -1\/2, -7, 2\/5, f in descending order.\nAnswer: f, 2\/5, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*n + 7971 = 50*n + 5352 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 5. Let k(a) = -5*a**2 - 6. Let o(u) be the first derivative of -3*u**2\/2 - 17*u + 18. Let j be o(-7). Give j*g(p) + 3*k(p).\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 3. Suppose 2*n = 4*i - 2, 2*n - 4*n + 25 = 5*i. Calculate the smallest common multiple of 6 and p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from 353372028.6.\nAnswer: 353372027.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - 3*r - 36. Calculate j(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 30 = 3*n, 3*n = 3*d + 13 + 14. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 31. What is d(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.7, 8 in decreasing order.\nAnswer: 8, 0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbjobjbbbopo?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9469 rounded to two dps?\nAnswer: 1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11093 (base 10) to base 8\nAnswer: 25525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7775447?\nAnswer: 2063, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.014706946 - -37.014687946. Let w = 37 - z. What is w rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(2\/51))**(1\/36)*(a**(1\/3))**(-3\/13)\/(a\/(a*a**2)*a**2) assuming a is positive.\nAnswer: a**(-931\/11934)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:29 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6828 by -1138.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -89 + 190 + 69 + -95\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(76) + 1 + 0 - sqrt(190)\/(-5*sqrt(10)*-1).\nAnswer: 1 + 14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 3 + 3)*(3 - 2 - 2)*((4*o - 2*o - 3*o)*(4 - 2*o - 4) + 296 - 4*o**2 - 296 + 3*o**2 - 2*o**2 - 2*o**2) to y*o + m*o**2 + b*o**3 + q and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.2 - 38.071.\nAnswer: -7.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 9) in base 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000254434 rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkku when four letters picked without replacement from {m: 2, k: 2, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -696 + 731. Let t = -145 + 95. Let l = p + t. Are l and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1459 + -1456. Let b(r) = r - 5. Calculate b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 2 - 36\/(-12). Suppose -s = 5*k - 28, 0*k = q*s - 4*k + 14. Suppose -c - 3*n - 27 = 0, c + 0*n + 15 = s*n. Are -21 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 22\/779, 5, -5?\nAnswer: 22\/779","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/12 + 7*g**3\/6 + 7*g**2\/2 + 55*g + 3. Let q = -12 + 7. What is j(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 15, 8*m - 12*m - 12 = -4*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000809 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 17*t**2 + t + 16. Let i be o(-17). What is the tens digit of ((-152)\/(-6))\/(i + (-25)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 23989*p. Let r(u) = -u. Calculate r(z(l)).\nAnswer: -23989*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 659201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/39 + 5\/13. Let d = 2180 - 2395. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 5*a + 7*a + 2 + a - 2 + 2 + (-1 + 4 + 0)*(-2 + 2 - a) in the form n + j*a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and 34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/14)*(y*y**(3\/5))\/y)**(-2\/29) assuming y is positive.\nAnswer: y**(-47\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*g - 0 + 206. Sort -5444, g, 0 in decreasing order.\nAnswer: 0, g, -5444","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -755.1 to the nearest ten.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24122\/19 - 1272. Let a = -11579\/1720 + 11\/344. Calculate the common denominator of h and a.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 260868*l**3 - 2869911*l**2.\nAnswer: 3*l**2*(l - 86967)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let y(o) = 60*o**2 - 12*o - 12. Suppose 0 = d + 24 - 12. Let r(q) = 24*q**2 - 5*q - 5. Let l(x) = d*r(x) + 5*y(x). Determine c(l(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 801542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*n**3 - 301*n**3 + 17*n**2 + 54*n**2.\nAnswer: 7*n**3 + 71*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6124842, 6124843, 6124844?\n\"Answer: o + 6124841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0, -166, 2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2))*-5 - (sqrt(14)\/sqrt(7) + -4)**2.\nAnswer: -8 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (10 - 3) - -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 16*j**3 - 8*j**2 + 20*j - 6*j**5 + 16*j**4 - 36 + 2*j**5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + o = 23, 5*b - 3*o - 40 = -2*o. Suppose -7 = -2*i - 3. Suppose i*s - b = s. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9871 * 10.65\nAnswer: -105126.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51892, -51953, -52012, -52069, -52124, -52177, -52228?\nAnswer: -52277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -j + 6 - 7, 3*j - 6 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 - -204. Let z be (2\/1 + 1)*(f + 3). Solve 0 = -6*w + 3*w - 2*k - 6, 3*w = z*k - 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 27*i = 20. Suppose 2*n - 81 = i*f - f, 2*n - 99 = -3*f. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.667 to 0 decimal places.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 + 92446114?\nAnswer: 92446325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 1170.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11061118*g**2*p + 42*g**2 + 2*g*p**2 + 1358480 with respect to p.\nAnswer: 11061118*g**2 + 4*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -39*c**2 - 2*c - 57. Let w(j) = -6*j. Give w(x(q)).\nAnswer: 234*q**2 + 12*q + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 9. Let q = 29 - o. Calculate the lowest common multiple of q and (6\/12)\/((-7)\/(-280)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/1530 and -107\/126?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13607*j + 13604*j - 45 = 5*p, 4*j - 3*p + 31 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(209) + -2*sqrt(209)*-5 + sqrt(209))\/sqrt(11) + sqrt(76)\/sqrt(4)*-4 + -2)*1 + -4)**2.\nAnswer: -32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybfybbyy. Give prob of picking 1 y, 1 f, and 2 b.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.141 + 56333536054\nAnswer: 56333536054.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 1. Let a = -88 + 93. Calculate p(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**7\/p*p))**(4\/11)*p\/(p\/p**26)*p\/(p\/(p*p\/(p*p\/p**(-2\/5)))) assuming p is positive.\nAnswer: p**(1288\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 4*m + 18, 43*f - 44*f + 6*m = 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 240114724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8078, 5, 489 in decreasing order.\nAnswer: 489, 5, -8078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009828356256 rounded to five decimal places?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y - 6. Give r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -46, -49, -54, -61, -70?\n\"Answer: -r**2 + 2*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2057)*2 + 5*1*sqrt(1700))**2.\nAnswer: -432*sqrt(17) + 88137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1\/60*u**5 - 7\/6*u**3 + 50*u**2 + 0 + 5\/24*u**4 + 0*u. Suppose 4*h + 1 = 3*q, -3*h + 3 = -3*q - 0*q. Determine t(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 154*o**2 - 154*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -99*v**2. Let c(a) be the first derivative of 16*a**3 - 212. Determine c(r(g)).\nAnswer: 470448*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1394 - -1397. Solve o*k - 5*k = -6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 at most -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 570 and 5605.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = v - 18 - 27, 2*v = -3*o + 135. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*g**4 + 92*g**2.\nAnswer: 3096*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*(-2)\/(-32))\/(6\/(-8)). Which is bigger: c or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19*i**2 + i + 5. Let p(v) = -20*v**2 - v - 4. What is 5*p(o) + 4*q(o)?\nAnswer: -24*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3223725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 2*n**2 + 5*n**2 + 0*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 11 - 121. Suppose -7*g + 58 = 3*v - 2*g, -2*g - 28 = -2*v. What is the remainder when n is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -754 + 1434. What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 7*r**2 + 2*r + 4. Let m(c) = -2 + 5*c - 4*c - c**3 + 0*c**3 + 3*c**2 - 2*c. Suppose -7*h - 65 = -2*h. Let w = 6 + h. Give w*m(j) - 3*v(j).\nAnswer: j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33228*t**4 - 25645.\nAnswer: -132912*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n + n. Let w(i) = -3*i + 1 + 4*i**3 + 5*i**n - 2*i**3 + 2*i**2 - 3*i**3. Calculate the remainder when w(3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39429 - 1.3539\nAnswer: -39430.3539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2\/9 + 704*t\/9 + 7502\/9 = 0.\nAnswer: -341, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -145, -348, -715, -1300, -2157, -3340?\n\"Answer: -9*z**3 - z**2 - 27*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 2. Let i(c) = -4 + 3 + 2. Let t = 618 - 620. Let l(s) = t*i(s) - h(s). Let w(g) = 5*g. Determine w(l(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 66 = 3*l - 407, 3*z - 4*l = -275. Let u = z + 225. What is the remainder when u is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b = 9*b + 194017 - 627105. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 6*w. Let a = 5 + -11. Let m(s) be the first derivative of 2*s**3 + 7*s**2\/2 + 245. Give a*m(q) + 7*o(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*q - 15, -3*q + 36 + 4 = 5*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -29*c**6\/120 + 7*c**5\/20 - c**4\/12 + 199*c**2 - 2. Find the third derivative of a(x) wrt x.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7309855 (base 10) to base 13\nAnswer: -168c277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311859725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g - 6. Let p be t(0). Let k = p + 20. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 10:08 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/30 + 184*j**3\/15 + 8464*j**2\/5 - 781*j. Let u(r) = 0. What is r?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:27 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 511112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11145415?\nAnswer: 5, 2229083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 998*n + 5 - 5 - 536*n - 616*n.\nAnswer: -154*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -105384*p - 737663. Give l(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + j + 3)*(2*j**3 + 4*j - 4*j) + (2*j**3 - 3*j**3 - 7*j**3)*(-14*j - 13*j - 6*j) to the form a*j**3 + h*j**2 + g + w*j**4 + z*j and give w.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39029 (base 10) in base 5?\nAnswer: 2222104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2976*g**2 - 169636*g + 229. Determine l(57).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 - f**2 + 20*f + 20. Let w(k) = -6*k**3 - k**2 + 23*k + 21. Calculate -4*l(n) + 3*w(n).\nAnswer: -2*n**3 + n**2 - 11*n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*k**2 - 11*k + 3*k - 6 + 18*k to h + c*k + s*k**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2340*y**2 + 11*y + 41. Let v(a) = -780*a**2 - 3*a - 14. Let s(h) = 2*q(h) + 7*v(h). What is the second derivative of s(f) wrt f?\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -775 + 733 - (3 - (4 + 3)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 3*l**2 - l**2)*(-3 + 4*l + 3 + (-6*l - l + 3*l)*(1 + 0 + 1) + 0 - 2*l + 0 + (-4 + 5 - 3)*(-l + 4*l - 2*l) + 2*l - 5*l + 2*l - 5*l + l + 2*l).\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 219*r**4\/2 - 5119*r**3\/3 - 4059. What is the third derivative of o(u) wrt u?\nAnswer: 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -13*o**2 - 34*o. Let u be k(-3). Which is the closest to 0.1? (a) -0.2 (b) -0.07 (c) u (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bab when three letters picked without replacement from {b: 2, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 11?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4, 2*h - 1158 = 4*x - 0*x. Suppose -13*j + h = -7902. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/58125 and 89\/124620?\nAnswer: 15577500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkfkf. Give prob of sequence dkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -88505 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(165)\/((sqrt(10) - (sqrt(10) + sqrt(1000)))\/sqrt(2)))\/(((sqrt(3) - sqrt(24)\/sqrt(72)) + (sqrt(3) - (sqrt(3) - (sqrt(147) + sqrt(147)*3))))*-6).\nAnswer: -sqrt(11)\/860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -4 (b) 570 (c) -0.3 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 763*z**2 + 396*z + 297200. Determine b(-382).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7456 + -6109. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.001 and 0.31124?\nAnswer: 0.31024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + -104 + -57 + (-6 - 18) + 33.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1166333940 divided by 2\nAnswer: -583166970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 294680931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676*v = -680*v + 2*o + 949510, 3*o - 712101 = -3*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 3 = 13*g. Suppose 0 = t - 2*n + 4, -g*n - 1 = -5*t - 0*n. Let i(k) = 0*k - t - 2*k**2 + 2*k + 2*k + k**2. Determine i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 22, 2\/11, -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/22097 and 76\/4719.\nAnswer: 104275743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 - (-132 - (8 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/60 - l**4\/24 - 2*l**3\/3 + 3*l**2. Suppose -44*c = -39*c - 20. Determine b(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936*v + 5434 = -923*v. Let p be (12\/(-15))\/((-4)\/190). Calculate the greatest common factor of p and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251164 is divided by 50228.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110191 - 29947150\nAnswer: -29836959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {v: 5, p: 3, z: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14237140087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + -29 - -122) + -18?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - 0) + -1 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30434 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/2 - 150445*t\/2 - 150443 = 0. Calculate t.\nAnswer: -150443, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -5, -11.\nAnswer: -11, -9, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261272212 + -261272219.000000309. Let z = -7 - k. Round z to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + -2*sqrt(77))*-6)\/(-3*1*sqrt(7)).\nAnswer: -7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -4*d + t, 3*d + 5*t = -20. Suppose 5*f - 254 + 24 = d. What is the remainder when f is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*l - 270. Let k = 31 - l. Let r = 16 + k. Solve -3*u + 2*u = m - 3, -r*m + 3 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, 10, 36, 72, 118, 174?\n\"Answer: 5*o**2 + o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v + 352. Calculate b(-1).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 6*r. Suppose 4*h + 4*s - 8 = r, 4*s = 5*s. Let m(g) be the third derivative of g**5\/60 - g**4\/12 + 4*g**2. Determine m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100371375 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 17. Suppose -q = t - 40. Let p = t - 21. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2072)\/(-1850))\/(2\/(-10)))\/(4\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/(m*(m*m**(2\/5)*m*m)\/m))**(7\/4)*m**(-6)\/m**5*((m*m\/(m\/((m**(-3\/4)*m)\/m))*m*m)\/m)\/((m*m**4)\/m) assuming m is positive.\nAnswer: m**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (123\/(-8) - -1) - 7452\/19872?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 3) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 8. Suppose 10 = 3*j - x - 6, 8 = 4*j - 4*x. Calculate the least common multiple of v(j) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -10101010011?\nAnswer: -10101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 > 921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - 4*z**2 + 3*z**2 - z**2 + z - z + (-3*z**2 + 2*z**2 - z**2)*(1 + 0 - 2) - z**2 + 3*z**2 - z**2 + (-45*z - 32*z + 29*z)*(-3*z + z + 4*z).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/((-28)\/(-36) + (-2)\/(-9)). Let g be (-2)\/8 - l\/(-4). Suppose 5*v = -g*k + k + 80, -v + 1 = -2*k. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.218 - 0.018. Let h = -14.2735 + d. Let f = 0.07 + h. Round f to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/8)\/(2558\/640 - 4). Suppose 3*j - 118 - d = 0. What are the prime factors of j?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*q - 16. Which is the third biggest value? (a) 0 (b) 33 (c) -2\/11 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*p*w - 48*a*p**2 - 2*p**2 - 12*p - w wrt a.\nAnswer: -2*a*p*w - 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/3 (b) -4351 (c) -2\/15 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*x**2 - 25452*x - 11148840.\nAnswer: 4*(x + 279)*(13*x - 9990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + -23.26. Let z = -23.1 - h. What is the nearest to 1\/4 in 6, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -3487?\nAnswer: 3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 380 - 76. Calculate the greatest common divisor of p and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 18. Let z = 4897\/8 + -605. What is the common denominator of z and 4\/(12\/v) + (-2)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 43*p**2 + 91*p - 339. What is z(41)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1149 and 44\/435.\nAnswer: 166605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -72, -12, 262, 858?\n\"Answer: 18*r**3 - 55*r**2 - 7*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57385351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)*n**1*(n**(-2\/5)*n)**(-2\/27)*(n**(-1\/6)\/n*n**(4\/5))\/(((n*(n\/(n\/((n*n*n**(-1\/4)\/n)\/n*n)))\/n)\/n)\/n**(3\/5)) assuming n is positive.\nAnswer: n**(-821\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 205, 5, -39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*v = 2270*v + 117726 + 183431 - 44201 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 705 + -2501. Is (4\/(-8))\/(2\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67b + 15?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s - 28*s - 66*s + 408 = 0. Put -32, s, -17 in ascending order.\nAnswer: -32, -17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140)\/(-24) + (-3)\/(-18). Let a(r) = 8*r + 4. What is the units digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071*n - m = -1066*n - 2, 5*n = 49*m + 1152 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6100, -12179, -18258?\n\"Answer: -6079*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25*d**2 - 10*d + 12. Is o(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30963 + (3 + -3 - (-40 + 47))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**5\/20 + v**4\/6 + v**3 - 2*v**2 - 474*v. Let z(f) = f**2 + 9*f + 12. Let s be z(-8). Determine j(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.3753 plus 80?\nAnswer: 135.3753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42587391 is divided by 1107.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 116*p**6\/15 - 43*p**2\/2 - 54*p. Find the first derivative of t(u) wrt u.\nAnswer: 928*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*r**3*y + 8*r**3 - 2*r**2*y - 285*y + 1 wrt r.\nAnswer: 12*r**2*y + 24*r**2 - 4*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times 0.8448835\nAnswer: -0.194323205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4040351 + -144?\nAnswer: 4040205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*(sqrt(567) + sqrt(567) + sqrt(567)*2) - (3 + 2 + sqrt(567)))**2 + ((sqrt(567) - (sqrt(567) - (sqrt(567) + -1 + sqrt(567)))) + -2)**2*3).\nAnswer: -2167386 - 11556*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(78) - -6*(sqrt(78)*3 + sqrt(78)) - sqrt(78))*3)\/(3*(sqrt(384) - sqrt(384)*2)))**2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*m = -15, -7*h + 17 = -2*h + 3*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 1.3 (c) -2 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2. Let u be w(-7). Suppose 4*i - 4*t - 31 + 11 = 0, -u*i = -t - 41. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -3. Let o be 37\/56 + (-48)\/128. Which is the smallest value? (a) 2 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, -131, 1\/5, -4 in decreasing order.\nAnswer: 1\/5, -1, -4, -13, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.163 + 0.009. Let f = 0.0724 + q. Let z = f - 0.26. What is z rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/15)\/(448\/(-48)). Let k(l) = -l**2 - 5*l + 5. Let v be k(-6). Let f be (v - 1 - -2)\/1. Is q less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 4*z + 8. Suppose -2*l - 4*l - 42 = 0. Let v = 3 + l. Is r(v) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 388 - 162. Let y(s) = -q*s**2 + 123*s**2 + 114*s**2. Let u(l) = -3*l. Calculate u(y(r)).\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1321*n**3 - 428*n**3 + 3386*n**3 + 2606*n**3.\nAnswer: 4243*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -1216072.\nAnswer: 18\/152009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-25)\/10*(-48)\/8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 1. Suppose 3 = -3*o, -2*y + 3*o + 0*o - 3 = 0. Let z(a) = a**2 - 2*a - 1. Let t(f) = y*l(f) - 2*z(f). Determine t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187613 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 109 + 2*c - c - 93. Let j be q(-16). Let r be (-2)\/(-9) + 25\/9. What is the nearest to j in r, 4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 1053*k + 1075*k - 4*k**2 + 5 + 5*k**2 - 5 to the form y*k**3 + b*k**2 + q + m*k and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*26\/(-91)*6\/(-8). What is the third smallest value in x, 46, -128?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9024 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.57107 and 5.409.\nAnswer: -3.08891763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38271311 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (62 + -93 - -14).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r - 66*r = -3*i - 13, -2*i = -2*r - 10. Put i, -86, 2, 31 in descending order.\nAnswer: 31, 2, i, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 171, -4 in increasing order.\nAnswer: -8, -4, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f - 3*o + 290, 5*f - 2*o = 763. Let l = 165 - f. What is the remainder when 31 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 - 2 = g, -4 = -3*g + 2*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 3)*(-10*d - 8*d + 80*d) as m*d + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {h: 1, v: 1, c: 2, q: 1, f: 1, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 19*p - 16. What is the tens digit of f(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 470\/(-40) - 1\/4. Let q(c) = -2*c - 5. Let f(p) = 1. Calculate h*f(t) - q(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 + 4*k**2 + 4*k - 6. Let b(n) = 11*n**3 + 9*n**2 + 9*n - 11. Give -4*b(x) + 9*j(x).\nAnswer: x**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008955771434 rounded to 7 decimal places?\nAnswer: -0.0089558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = 45 - 150 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -136, -487, -1210, -2485, -4492, -7411?\n\"Answer: -30*j**3 - 6*j**2 - 123*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 14*j + 29*j - 13*j + j**2.\nAnswer: j**2 + 2*j + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 12:22 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1132, 468, -676, -2300, -4404, -6988?\n\"Answer: -240*l**2 + 56*l + 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -197 - -242. Suppose -974 = 43*k - l*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8417 rounded to the nearest one hundred?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2877 - 2813. Let i(w) be the first derivative of -112*w**2 + 32\/3*w**3 + 12 - 52*w**5 + 92*w**4 + 25\/3*w**6 - h*w. Determine x so that i(x) = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-15))\/3 + 664. Calculate the greatest common factor of y and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 15342 = 6*b - 2*r, 8*r + 19172 = 5*b. List the prime factors of b.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) -20 (c) 2\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, 0.07, 0, 3 in decreasing order.\nAnswer: 5, 3, 0.3, 0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 35*z - 31. Let c be n(21). Suppose -15*q = -c - 22. Calculate the smallest common multiple of q and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 - 68*v**2 - 15*v + 74. Calculate n(-14).\nAnswer: -2068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -33200 less than -33200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 6:36 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 4362645.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: d5dc (base 15) to base 11\nAnswer: 30a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71896\/(-516) + 136)\/((-10)\/12 - -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-14) + 51*(-2)\/(-21). Let y be 328\/322 - 6\/30*q. Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 + 11*g**2 - 15*g**2. Let l = -6 - -13. Let r(n) = 0 + 1 - 1 - l*n**2. Calculate c(r(s)).\nAnswer: 49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*v - 15112 = -14391 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 30*w**3 - 2*w + 1. Is r(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) + (30\/(-25))\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i + 1. Suppose -1851*n + 3*c + 49 = -1856*n, -8*n + 2*c = 24. Let k(z) = 4 - 4*z + 4*z**2 + 5*z + 5*z. Give n*v(q) + k(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4202*l - 987*l + 0 - 1177*l + 0 - 1261*l.\nAnswer: 777*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l + 1 = u - 48*l, -5*u + 3*l + 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -65\/9 (b) 4\/3 (c) -2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 4. Let r be u(-4). Suppose r = -0*m - 5*m + 240. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3496, 3995, 4494, 4993, 5492, 5991?\nAnswer: 6490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.93 + -0.07. Suppose 4*n - 22 = x, -5*x + 16 = -6*n + 7*n. Let q be 1 - 15\/n - 21\/(-18). Sort q, u, 0 in descending order.\nAnswer: 0, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4 + 8 - 2*b**2 to r*b + m*b**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 1, 2, -217, -1, 0.4, 0.03.\nAnswer: -217, -65, -1, 0.03, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(-2\/3)*s\/(s*s\/(s\/(s*s**(-2)\/s*s)*s))*(s*s**1)\/s)**18 assuming s is positive.\nAnswer: s**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = -5. Let f = p - -6. Suppose -f*b + 7*b = 30. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/40521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/6600 and -51\/3192200.\nAnswer: 9576600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1121 + 234?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzxxz. What is prob of sequence zzx?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i = -15, 0 = m - 3*i - 13. Solve -2*h + 0*n = -2*n - 2, 4*n = -m*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/55 + 1026\/(-209). Let w = -7 - -12. Suppose -w*p = 17 + 3. Which is greater: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18216 times -2.18\nAnswer: -39710.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110310 - 13?\nAnswer: -110323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2*r**2 + 3*r + 4. Suppose -4*c - 8 = 4*u - 28, 30 = 3*u - 2*c. Calculate the smallest common multiple of u and g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3720 is divided by 525.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from intssanietns. What is prob of sequence it?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2577 times -0.99?\nAnswer: 0.255123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Suppose u - 9 = 5*w, 4*u = l*u + 5*w - 3. Calculate the greatest common divisor of 44 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -2*c + 0 - 2\/3*c**3 - 1\/2*c**2. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**4\/8 - 5*c**3\/3 + 1524*c**2. Calculate j(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0617689 - -0.2.\nAnswer: 0.2617689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.85644.\nAnswer: -10.27728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 - (17 - (15 - -18))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 2*i**5\/5 + i**4\/4 + 12*i**3 + i**2 - 56. Find the third derivative of j(y) wrt y.\nAnswer: 48*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1308316, 1299148, 1289968, 1280770, 1271548, 1262296, 1253008, 1243678?\n\"Answer: -p**3 - 9161*p + 1317478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34300397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6600\/176)\/(-12*(-6)\/48)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*b + 25, 5 = -b - 0. Suppose -h - 5*i + 14 = u, 4*h - i - 5 = 9. Factor -t**3 + 2*t + t**2 + 3*t**2 - t**3 - h.\nAnswer: -2*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -385752 + a?\nAnswer: -385746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337041673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 2400 = -9*x. Let j be -10*625*(x - 0). What is j rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -103626 and 0.2.\nAnswer: -103625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*x - 4*u - 0, 4*x - 9 = -3*u. Let q(b) be the first derivative of 3*b**2\/2 - 5*b - 5. Calculate the lowest common multiple of q(4) and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 15*a - 6. Let w be p(-5). What is the greatest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210010011 (base 3) in base 11?\nAnswer: 10625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 2*l**2 + 16*l + 185. Give d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 38. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1866*k - 56*k**2 - 1896*k - 6 + 3762*k + 3.\nAnswer: -56*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*v + 35*v + 0*v + (3 - 3 + 1)*(2*v + 0*v - 4*v).\nAnswer: 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 1 - (-7 - -5). Suppose -2*g - 3 - 13 = s. Let p = g + 13. Let h(b) = b**3 - 6*b**2 + 2*b + 5. Calculate h(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33010 and 0.5.\nAnswer: -33009.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8417?\nAnswer: 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*c - 13961, 2*c + o + 1207 = 8192. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rooororooror. What is prob of picking 2 o and 2 r?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.33779 litres to millilitres.\nAnswer: 86337.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*t - 9 - 241*t + 1037*t.\nAnswer: 53*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 5*b - 30, 24 = 4*x - b. Let n be (-18720004)\/26 + x\/39. What is n rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*p + 37127 = -73203. Is p greater than 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13825 - -13838. Solve -102 + 141 = -p*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45453.35ml to litres.\nAnswer: 45.45335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41440 - -53104?\nAnswer: 11224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + (22 + -21 - (9 + -22 - -9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzr when three letters picked without replacement from {k: 1, b: 3, z: 2, r: 8, p: 5}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 3*h - 2*x, 0 = -130*h + 129*h + 25*x + 53 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.5, 3, 4, 176, -2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 (base 6) in base 14?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -290 - -290. Let u(i) be the second derivative of -i**2 + b + 1\/3*i**3 + 2*i. Differentiate u(p) with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/20 + (-9 - (-629984)\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/3 (b) 0.23 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, 2, -155, 31, 3, -13 in descending order.\nAnswer: 31, 16, 3, 2, -5, -13, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6327261, -6327260, -6327259, -6327258, -6327257, -6327256?\n\"Answer: g - 6327262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -311831?\nAnswer: -31183a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 2*c**2 - c + 1. Let j be (-1001)\/14 + (-2)\/(-4). Let l = 67 + j. What is the hundreds digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 13)\/(-5) - (-33)\/(-55)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**3\/6 - 7*h**2 - 148*h. Calculate k(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 1977166980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1166*w + 50466*w**2 + 439*w - 3 - 25234*w**2 - 25234*w**2 + 3508*w**4 wrt w.\nAnswer: 84192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*p**3 - 5*a*p - 92*a + 207230986*p**3 - 5952 wrt p?\nAnswer: -12*a*p + 1243385916*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 3 - (-139 + 132)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -21. Find the third derivative of -150*n**4 + 8*n**2 + 24*n**w - 33*n**2 + 3 + 150*n**4 wrt n.\nAnswer: 2880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 2*f + f + 5*n, -5*f = -4*n - 407. Suppose -11*p + 12*p - f = 0. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66)\/(-44)*(-54118)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53260758 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 32. Put 5, -0.5, x in ascending order.\nAnswer: -0.5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373391791 take away 16.71831?\nAnswer: 373391774.28169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.077 - -72.923. Let v = -72.893 + a. What is v rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 443*f**2 - 190*f**2 + 22*f**3 - 4*f**3 + 168*f - 141*f**2 = 0. What is f?\nAnswer: -4, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727016*p**3 - 43*p**2 - 8304?\nAnswer: -4362096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + 3*((sqrt(2448) + sqrt(2448) + sqrt(2448)*2 - sqrt(2448) - sqrt(2448)) + 2) + 6*sqrt(2448)*1*1)**2.\nAnswer: -864*sqrt(17) + 352521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let z(m) be the third derivative of 0 + 1\/60*m**5 - 7*m**2 - m**3 + 0*m + 1\/24*m**4. Let p be z(-4). Determine l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + g - 84 = -f, 5*f - 3*g - 122 = 0. Let o = 19967 - 19792. What is the remainder when o is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 21*h**2 + 31*h - 223. Determine s(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 97. Which is the second smallest value? (a) 2 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-3)*u)\/u)\/u)\/(u\/((u*u\/u**9*u)\/u)))\/((u*u\/u**(-9)*u)\/((u\/u**(3\/7))\/u))*(u\/(u**(-4)\/u)*u*u*u*u*u\/(u*u**(3\/5))*u)**4 assuming u is positive.\nAnswer: u**(846\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 248*h = 114*h - 595*h + 14220 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 3*y**4 - 2*y**4 + (y + 2*y + 0*y)*(y**3 - 4*y**3 + y**3) + (5*y + 0*y - 4*y)*(2*y**3 - 2*y**3 + 2*y**3).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 168808640 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38 - (-2)\/4*(21 + -19). Suppose 2*q = 2*x + r - 35, x + 5*q - 22 = 0. Factor 0*k + 2\/3*k**5 + 0 + 4\/3*k**3 - 2*k**4 + 0*k**x.\nAnswer: 2*k**3*(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/5 + 121938*j**2 - 2438744*j\/5 = 0 for j.\nAnswer: 0, 4, 609686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.42 - 47. Let s = -0.32 + 0.83. Let z = j + s. What is the nearest to -2 in 0.4, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 6 (c) -21 (d) -6\/13 (e) 0.3 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 1146*s + 91593. Calculate z(96).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537000 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176075 is divided by 14672?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -101*t. Let f be h(1). Let o = f - -50. Is (o\/(-6))\/((-3)\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 1519*m**3 + 21477*m**2 + 22995*m.\nAnswer: -m*(m - 15)*(m + 1)*(m + 1533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4174174 - 2*h - 4174174. Let a(c) = 44*c**2 - 30. Calculate a(q(x)).\nAnswer: 176*x**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105328 - 1307225806\/12411. Which is smaller: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 (base 7) to base 8\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 87*g**3 + 3*g**2 - 36*g + 48. What is the thousands digit of y(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53455895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 9 (c) -39 (d) 5 (e) -4.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j*n**3*p**2 + 2836*j*n**3*p - 34*n**3*p**2 + 5*n**3*p - 2*n**2 - 6*n wrt j?\nAnswer: 3*n**3*p**2 + 2836*n**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -6, p + 2*p - 35 = -3*c + p for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(41\/164*-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222 + 236. Let j be (-6 + p\/2)\/(4\/6). What is r in 6*r + 6 + j*r**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 14 in decreasing order.\nAnswer: 14, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 114. Suppose 38 = 4*x - 262. Calculate the remainder when x is divided by c(-27).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17449? (a) -0.3 (b) -2 (c) -393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1936335 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -3 + 6)\/1. Let u(g) = -f + 0*g - g + 12. What is u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (2 - 2) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3845 by -249.\nAnswer: 3845\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374552.\nAnswer: 2, 3, 17, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 18. Suppose -4*h + 0*q = -2*q, g*q = h + 3. What is the greatest common divisor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148 + -65093?\nAnswer: -6520b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, 720, 2242, 4414, 7236, 10708?\nAnswer: 14830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 1 - 43 + 10 - 2*b**3 - 25*b to o*b**2 + k + u*b + x*b**3 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 13 = -g, 2441*t - 2435*t = 76*g + 602 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -905 - -383. Let t = v - -742. Suppose f - t = -3*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(100)\/(sqrt(10)*-5)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26885, -107386, -241619, -429638, -671497, -967250?\nAnswer: -1316951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*m - 14, 0 = 4*g + m - 3*m - 18. What is the units digit of 5602\/8*g + 115\/(-46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 2, -363\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -125*u + 4. Let x be g(-1). Let i = 185 - x. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 greater than or equal to 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -1426, -3240, -5788?\nAnswer: -9070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 365, 569, 911, 1439, 2201, 3245?\nAnswer: 4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 8*j - 158. Suppose 0 = j*g - 2776 - 672. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 1650*o**3 + 230151*o**2 + 900900*o + 894348.\nAnswer: 3*(o + 2)**2*(o + 273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -12.6\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 81*k**2 - 1\/60*k**4 - 4\/15*k**3 + 0 + 1\/300*k**5 + 0*k. Factor g(j).\nAnswer: (j - 4)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17144, -17193, -17274, -17387?\nAnswer: -17532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/((-5)\/(-9)) + 4)\/1. Let x(y) = y**3 + y + 1. Let n(j) = 1 + 2*j + 3*j + 4 + 4*j**3. What is i*x(r) + n(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 8) + (-23 - -2) + 8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4597270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d**3 - 7*d - 1. Let m(i) be the first derivative of 3*i**4\/2 - 2*i**2 - i - 86. What is 7*m(b) - 4*v(b)?\nAnswer: -2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 - 2*d**2 + (0 + 0 - 3*d)*(-62 - 39*d + 62))*(-3*d + 2*d + 2*d).\nAnswer: 115*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -36\/79 (c) -0.1 (d) 0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17278549 and 10?\nAnswer: 172785490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5 - 12944*t**4 + 10919632*t**3 - 712892288*t**2 - 6230599424*t - 12813946880 = 0.\nAnswer: -4, 80, 1582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 + 89*l**3 - 100*l**2 wrt l.\nAnswer: -240*l**3 + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/17 + -43\/34. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6)\/((-6)\/2 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0.015, 1 in descending order.\nAnswer: 1, 0.015, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 + 1 = -4*g, -5*x + 5*g = -10. Suppose 1 = x*i - 23. Differentiate 17*k**4 - 4 - i - 5*k**4 with respect to k.\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + (sqrt(637) - ((sqrt(637) + 5 - sqrt(637)) + sqrt(637)))**2)*-1 + (2 + 4*3*sqrt(637))**2.\nAnswer: 336*sqrt(13) + 91712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -7*a**3 - 14652*a**2 + 12565*a + 2094 = 0.\nAnswer: -2094, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200823 is divided by 22303.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let o(t) = -13919*t**2 + t. Calculate o(x(r)).\nAnswer: -55676*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k - 7*k + 7*k)*(-9 + 8 + 4)*(11 - 3*k + 6*k - 14) to m + t*k**2 + c*k and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9748 - -48015. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 182 = 158. Suppose 0 = s*p - 5*f - 27, 5*f + 9 = -4*p + 2*p. Solve -j + 12 = 3*v, -p*j = v - 3*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 463594422*p - 463594422*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g + 40. Let j(n) = 4*n + 16. Let s(o) = 5*f(o) - 12*j(o). Let z(h) = 3*h + 15. What is -5*s(b) + 3*z(b)?\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 80 = 7*c - 3*c, -5*c = -7*p + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8820 and 850140?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/7)\/((-177)\/(-1239))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 6*k**2 + 5*k - 9. Let a be w(-7). Suppose 4*l + 5*g = 845, 2*l = 7*l + a*g - 1050. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 623 - 623.4. Is 66 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41651?\nAnswer: 41651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 80729 and 80732 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75107 and 73.\nAnswer: 5482811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6 + 10*i - 8*i - 10*i - 7*i + 9*i - i**2. Give h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277012311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -325 at least -314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*c - 1788 = 0, -3*f = -c - 4*c - 1355. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 14 + 6. Let f be b - -2 - (-21 + 20). Calculate the highest common divisor of f and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njn when three letters picked without replacement from jknjn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3411213525 + 0?\nAnswer: -3411213525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((144\/(-27))\/4)\/((-2)\/(-1836)). Let z be i\/(-54) - (-10)\/(-6). Solve 6 = 9*n - z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 33259 + 16628 + 16631.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5)*50\/(-13020)*28?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -635+-0.7\nAnswer: -635.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5) - (-742)\/265. Is u > 21\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1660536 (base 9) to base 6\nAnswer: 31500523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/21 + 38*b**2\/21 - 82*b\/21 + 2.\nAnswer: 2*(b - 1)**2*(b + 21)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 14 - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/2, -1\/7, 148917, -58\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 4*q - 7. Let f(i) = 13*i**2 - 5*i - 5*i + 4*i - 3 - 15*i**2 + 14. Calculate 5*f(g) + 8*t(g).\nAnswer: -2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-10)\/1))\/((-24)\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7460, 14733, 21824, 28733, 35460?\nAnswer: 42005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3948*s**3 + 7*s**2 - 4*s + 1887. Let h(l) = -78962*l**3 - 144*l**2 + 82*l - 37741. Let y(r) = 2*h(r) + 41*n(r). What is the derivative of y(m) wrt m?\nAnswer: 11832*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 82. Suppose -2*y = v + 2*v - 10, -v - 34 = -4*y. Calculate the remainder when y is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n**2 + n. Let y be q(0). Suppose 2*c - 2 = -y*c - 2*k, -3*c = -k - 11. Suppose 2*t - 5*z = 196, -c*z = -2*z + 2. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 7 - (22 - 36 - 142).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 10098?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:30 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**7\/105 - 29*q**6\/75 - 96*q**5\/25 - 268*q**4\/15 - 688*q**3\/15 - 336*q**2\/5 - 9*q - 14. Find s, given that d(s) = 0.\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 4*a, 4*a + 11 = 3. Suppose 3*b + 1 = -2*u - p*u, b + 4*u = -3. Suppose -i + b = -4. Solve 5 = -0*d + i*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-8))\/(1\/(-2)). Let -5*n**3 + 5*n**o - n**4 + n**5 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.08857 days to milliseconds.\nAnswer: 94052448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let z be y(-4). Let b be (z - 10 - -4) + 147. Suppose 18*f - b = 13*f. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -480847078288.\nAnswer: -480847078288.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by 37\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 3 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3381\/4988 or -2?\nAnswer: -3381\/4988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 4338*c - 89775.\nAnswer: -3*(c + 21)*(c + 1425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 75\/(-6))*1*4\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7663.80953 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4491428 and 72.\nAnswer: 80845704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 + -136. Suppose -170 = -a - 4*a. Is a at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 61656?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*p)*(p**2 - 4*p**2 + 0*p**2)*(-2*p + 6*p - 2*p) to the form k*p**4 + n*p + t*p**3 + w + x*p**2 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**2 + 8*l + 216. Let p(b) = 6*b - 23. What is -4*p(t) - 11*w(t)?\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 86, 1967, 3848, 5729, 7610?\n\"Answer: 1881*q - 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 276488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 4*z - 2*y, y = -3*z - 7. Let k = 20 - z. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129837881 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 118\/(-236)*4\/18. Let i(k) = k - 3. Let m be i(4). Sort 4\/7, m, 3, p in descending order.\nAnswer: 3, m, 4\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.60924 decades in years?\nAnswer: 196.0924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -675, -1309, -1943, -2577, -3211, -3845?\n\"Answer: -634*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3) - (-235)\/(-282))*-2. What is the smallest value in -4, n, 2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2002610 + 35290.46.\nAnswer: -1967319.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - g**2 - g + 1. Let j(o) = 26*o**3 + 3*o**2 - 22*o - 5. Let u(y) = j(y) + 5*w(y). What is the third derivative of u(h) wrt h?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 22 = -4. Let p(g) = 2*g - 7. Let x(v) = v - 4. Let q(m) = 4*p(m) - 7*x(m). Is q(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 32. Calculate the remainder when 54 is divided by (-1 + 4 + -4)*h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10 + 7 - 19 - 2*k. Calculate t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 + -296.3. Let g = -0.42 - -0.02. Which is the biggest value? (a) l (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 51*v - 4. Let x be f(-3). Let w be (0*1\/(-3))\/(-2) - 259. Let r = x - w. Is 38 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32557, -65120, -97683, -130246?\n\"Answer: -32563*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(2\/5))\/x)\/x)\/x*x**(-1\/8)*x*(x**(-1\/4)*x)**(6\/25))\/((x\/(x*x\/(x**(-3)*x)))\/x*x*x*x**(1\/5)*x*x**0*x**(-2\/15)) assuming x is positive.\nAnswer: x**(-247\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.7651108 rounded to 0 dps?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/10 - z**4\/24 - z**3\/6 + z**2. Let i be (-1 - 0)*(-4)\/(-4) + 3. Suppose f + 3*b = i, 2*f + 1 = 4*b - 5. Calculate t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/88 - 204\/(-66).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 15*g**2 + 53*g - 11. Let r be h(-6). Sort -1, -9, 2\/5, r.\nAnswer: -9, r, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 652.7618 litres?\nAnswer: 652761.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.721 + 0.73058. Round d to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2638395 + -2638441.999682. Let i = 47 + z. Round i to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + 15 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -y + 13, 11*j + y + 2320 - 2277 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b + 239. What is the thousands digit of j(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.5. Let l be (35 - 456\/12)*2\/(-3). Which is the third smallest value? (a) -1.5 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16)**(-2\/17) assuming q is positive.\nAnswer: q**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let y(z) be the second derivative of 0 + 1\/2*z**2 + 0*z**3 - 1\/12*z**4 - 2*z. Let g(s) be the first derivative of y(s). Give j(g(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:27 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1597 - 0.018.\nAnswer: 0.1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -3.5. Let r = 101 + -103. What is the nearest to r in 0.3, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189 - -321. Let t = 131.99999705 - y. What is t rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8303 (b) 0.6 (c) 2 (d) -5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191283, -766121, -1724185, -3065475, -4789991, -6897733?\nAnswer: -9388701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*6 + sqrt(11))**2 + 2 + sqrt(99))*6.\nAnswer: 18*sqrt(11) + 63438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 4805*z - 2482*z - 2323*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9*k = -0*k. Solve 5*l = 5*y - k*l, -12 = -2*y - 4*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 13*a**2 + 4*a**2 + 1 - 18*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1639 + 1671. Calculate the highest common divisor of p and 6368.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -2*g**6\/75 - g**5\/20 + g**4\/20 + g**3\/6 + g**2\/10 + 8*g. Suppose c(p) = 0. Calculate p.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t*t**(-2\/5)\/t)\/t*t))**(-2\/71))**(-20)\/((((t\/(t\/((t\/(t**(-3)*t))\/t)))\/t)\/t**(1\/5))\/((t*t**(-3))\/(t*t**2))) assuming t is positive.\nAnswer: t**(-1979\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18680, -37368, -56066, -74780, -93516, -112280, -131078, -149916?\nAnswer: -168800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/4)\/(2\/(-8)). Let t = x + 5. What is the units digit of t\/(-4) - (-10)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*q, -5*s - q = -6*q - 25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-13)\/(-2) + -1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*j - 815*j**3 + 275*j**3 + 268*j**3 + 267*j**3 - 1335*j + 1890 + 240*j**2.\nAnswer: -5*(j - 42)*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 215 - -45235?\nAnswer: 45451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 945 by -21.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*y - 19*y. Let i = y - -41. Solve 0 = -5*d + i - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2. Suppose 3*j - 2*x = 17, 0 = -4*j + x + x + 20. Let g be -4 + (j - -3) - -1. Let d(r) = 2*r**3 - 4*r**2 + 1. Calculate g*n(c) - d(c).\nAnswer: -2*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p + 72 = 56*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 at least as big as 1931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-359)\/200 - -1) + (-24)\/64. Let r = -2393\/400 - i. Calculate the common denominator of (1*-2)\/(20\/17) and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -57?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*t - 82 + 22. Which is the biggest value? (a) 2 (b) -48 (c) -0.5 (d) -5 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q + 8 + 17 - q**2 - 17 - 6*q - 7*q. Determine d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (0 - -6) - 20) + (38 - 5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - -1 - (-3 + -2). Let x(r) = -r**3 - 10*r**2 + 22*r - 12. Let i be x(-12). What is the highest common factor of i and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107885934.\nAnswer: 2, 3, 13, 461051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence leee when four letters picked without replacement from {e: 4, l: 6, h: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123.7359 - 129.734. Let t = 6.04 - 0.04. Let h = t + k. Round h to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 20*p**4 - 49*p**2 + 35*p + 27*p**2 + 2 + 15*p**2 in the form r*p**3 + u*p + q*p**2 + x + o*p**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1394300, 1394301, 1394302?\nAnswer: 1394303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 14 - (-3 - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 156 = 5*z, w + 2*w = 5*z - 159. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/3 - 280*x\/3 + 92.\nAnswer: 4*(x - 69)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -628184 divided by -10132.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {m: 3, o: 4, r: 4, v: 8}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182582993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -111*a**6\/20 + a**5\/30 + 2*a**4 + 7*a**3\/6 - 2146*a**2. What is the second derivative of v(u) wrt u?\nAnswer: -3996*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -139 + 134 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31 and 352.972142.\nAnswer: 321.972142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 r when three letters picked without replacement from uuuujurwu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 84. Let r = 11182130004.00000027 + -11182129952. Let m = r + g. Round m to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 2:04 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t**3 - 6*t**2 + 6. Let y(x) = -5*x**3 + 2*x**2 - 2. Suppose 90 = 5*q - 10. Let c be (-280)\/(-32) + (-15)\/q. Determine c*y(a) + 3*v(a).\nAnswer: 2*a**3 - 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127309 is divided by 10609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 38 - 20. Solve g = -2*t - t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 11:14 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62, 217, 476, 839, 1306, 1877, 2552?\n\"Answer: 52*n**2 - n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*4 + 3 + 3)*-3.\nAnswer: -12*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-6) + -3)*-1527. Let m = 78 + t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.509 + 6.909. Which is the closest to 3.1? (a) u (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-44)\/(-8))\/((-2)\/(-8)) is divided by (12\/18)\/(2\/27).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 210*v**2 + 1566*v - 54. Give t(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1336*z. Let o(d) be the third derivative of -d**5\/30 - 645*d**2. Calculate i(o(l)).\nAnswer: -2672*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35551 is divided by 7057?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0*w - 3. Let h = w + 0. Let q = 12 + h. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 - 576 = 32*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 4:07 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170\/3*r + 5\/3*r**2 + 1040\/3.\nAnswer: 5*(r - 26)*(r - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146162 - -13?\nAnswer: 146205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.37 + 0.01. Round b to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 + 9*l**2 + 18*l**2 + 76*l**2.\nAnswer: 4*l**3 + 103*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1199, 1200, 1201, 1202, 1203?\n\"Answer: u + 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/12 + 5*r**3\/6 - 3*r**2 - 123*r + 266. Let k(j) be the first derivative of m(j). Factor k(n).\nAnswer: (n - 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let h = r - 6. Let t = 13 + h. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -150 + 150 + s. Let d(t) be the first derivative of -t**2 - 2. Give d(l(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 12*g**2 + 12*g - 18. Determine k(13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/5 - 472*i**2\/5 + 12932*i\/5 + 59536\/5.\nAnswer: 4*(i - 61)**2*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -791 + 821 - (1 + -2 - -9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 186. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8033 + -8046.036. Let j = 13 + s. What is j rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/6? (a) 34 (b) -13 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:20 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1362478141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 6*s**2 + 8*s + 3. Let h be t(-5). Let r = -15 - h. List the prime factors of ((-124)\/(-3))\/((-1)\/r).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1768*v + 87022 = 1748*v + 849322. What are the prime factors of v?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36896567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9118328 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 385 + -382. Suppose -19 = -x + a*h, 2*x - 70 = -4*h + 2*h. Calculate the remainder when 90 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.342 + 0.042. Suppose -6*y - 5 = 25. What is the closest to -0.1 in v, y, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14462*i + 43384. What is k(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -299\/9, -2?\nAnswer: -299\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) -11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 15. Suppose -975*s + 1060*s = 170. Solve -j = 4*g - s*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/12833214 and -121\/20.\nAnswer: 128332140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 17. What are the prime factors of 2 + 2 + l + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c\/c**(2\/35))\/c*c)))\/c*c**(-9\/5)*c\/c**39*c*c**38 assuming c is positive.\nAnswer: c**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3\/3 + 4*s**2 + 10*s - 2. Let w be t(9). Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m*(m*m**(-3)*m)\/m)**(-29)\/(m*m**(2\/3)*m*m*m**7*m)**(-16) assuming m is positive.\nAnswer: m**(3148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1524822258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-460)\/(-552)*3\/(-15)*3\/(-7)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-2) - ((-34160)\/150)\/28. Let c(j) be the first derivative of -1 + 1\/5*j**2 + 0*j + g*j**3. Solve c(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1 - 2 + 284*c - 283*c. Let t(h) = -10*h + 5. Let f(o) = -t(o) - 6*v(o). Let y(z) = -2*z - 1. What is 2*f(k) + 5*y(k)?\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14839.92 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k + 2. Let p be z(-2). Is 260\/p + 2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.003933?\nAnswer: 0.015732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 8*o**2 - 20*o - 5. Give r(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 47 (c) -0.3 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49738 - -19431. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173563 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*q + 6*b - b, 0 = -2*q - 5*b - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -11, -159214?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:42 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 29977687*t - 29977687*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 0*j = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714521699 to the nearest integer?\nAnswer: 26731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 7. Let v be b(7). Let l = 3 + v. Suppose 2*k - 40 = -l*k. What is the remainder when 21 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -183297796\/507 + 361534. Calculate the common denominator of -95\/6 and a.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 + 3)*-2)\/((-255)\/45 - -11).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4348060 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 3, 5.9, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((35\/(-5))\/(-7))\/(2\/6). Solve -2*y + 4 = 3*n - 21, -2*n = q*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -1\/360*v**6 - 1\/72*v**4 + 0 + 0*v + 0*v**3 + 1\/90*v**5 + 3*v**2. Find p, given that k(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*q + 16, 4*o - 4*q + 12 = -9*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 4, -0.26, 266, -0.3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 293821215 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1782117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -47, -79, -109, -137, -163?\n\"Answer: i**2 - 37*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let o be a(1). Let l = 6 + o. Suppose 0*d + l*n + 17 = 3*d, 4*d = 2*n + 20. Solve 3*z = -4*i - 14, -4*i + d*z + 1 - 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/5 + 4 + 1. Solve -5 = -n*y + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 3*q**2 - q - 3. Let p be h(-2). Let a = p - -76. Which is bigger: a or 70?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7427009, 14854008, 22281003, 29707994?\nAnswer: 37134981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 2:29 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 + 71 = 0. Let g = 22 - r. Put 1\/6, -2, g in increasing order.\nAnswer: -2, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/77186440 and -81\/1850.\nAnswer: 385932200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 15*n - 43. Determine z(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u - 4. Let c(x) = -3*x - 3. Let p(y) = -5*y - 53. Let g(f) = -3*f + 2. Let l be g(4). Let i be p(l). Determine i*a(d) + 4*c(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/20*((-504)\/24)\/(-3)*8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4084\/13 - 314. Let o be 5\/3 - -7 - 1\/(-3). Suppose 9 = -2*s + 4*d - o, 5*s - 3*d + 10 = 0. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 28 = -h - 1, 16 = -4*h. Let y(q) = -7*q + 6. Let m(p) = 0 - 2*p - 6*p + 0*p + 7. Determine j*m(k) - 6*y(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 7*h**2 - 4*h + 6. Let g be d(-4). Let b = 82 + g. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 14*r + 2. Let y(z) = 8*z**3 + 29*z - 5. Determine 15*b(u) + 6*y(u).\nAnswer: 3*u**3 - 36*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43262648371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 31*p**2 - 38*p - 1. Is 7 a factor of i(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85844, 171712, 257584, 343460, 429340, 515224, 601112?\n\"Answer: 2*w**2 + 85862*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-10) - 48\/(-15). What is the second derivative of n + 2*n - 3*n**2 + u*n**2 - 3*n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0. Let p = -0.3428 + 0.2428. Let y = 0.06 - -3.94. Which is the nearest to p? (a) n (b) 1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 6*p + 9. Let t be d(6). Let g be 8\/(-52) + t\/13. Let j(v) = -v - 5. Calculate j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 50*i + 257. Determine r(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14410 (base 8) to base 7\nAnswer: 24453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 6*y + 18. Let n be u(-8). Let a = -88 + n. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1538.434 + -1537. Let s = l + -0.134. Which is the third biggest value? (a) s (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n**2 + 27*n + 89. Is 18 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001020010011 (base 3) to base 7.\nAnswer: -4502530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 21f?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384283021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:41 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/270 - a**4\/27 - a**3\/9 - 2*a**2 - 11*a. Let n(s) be the first derivative of x(s). Let n(j) = 0. What is j?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 67 = -22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*z + 6, -3*k = -k + 3*z - 12. Let f(x) = -x**2 + 5*x - 1. Calculate f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*z + 25 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 39 = -8*y. Calculate the least common multiple of -2 - -114 - y - (-22 - -22) and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -3*(sqrt(17) + 1)**2 + (1 + sqrt(2057))**2 + sqrt(68)*-3)*6.\nAnswer: -60150 - 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 163.9 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 193*s + 1184. Is w(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 218*o - 1104. Determine a(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4196005869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*t - 27 + 27 to the form p + j*t and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 0.0775, -4, 1\/10?\nAnswer: 0.0775","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 23*y + 13. Let b be i(-11). Suppose -2*x + 6 = -0. Suppose 5*a - b*c - 2593 = 0, -a + x*c - 2079 = -5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -14, 1, -2, -5, 718.\nAnswer: -14, -5, -2, 1, 3, 4, 718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-15))\/5*75\/(-12).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -59. Let y = -4\/189 - -5135\/1512. What is the common denominator of h\/20*(1 + 3) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 35. Suppose 0 = -m*b - 2*a - 2, 2*b = -4*a + 6 - 18. Suppose b*q = -0*o - o + 15, 4 = -4*q. Calculate the remainder when 52 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*(4 + -4). Suppose z = -0*p + 5*p - 255. Suppose -p*f - 48 = -54*f. Solve 0*a = -4*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22995, 45986, 68977, 91968, 114959, 137950?\nAnswer: 160941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*g + 143*g - 55*g)*(0*g + 6*g + 0*g) - 6*g**2 + 2*g**2 + 2*g**2.\nAnswer: 340*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 15, k: 2}. Give prob of sequence wkw.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 65*c**2 + 17*c + 11. Let n(t) be the second derivative of -11*t**4\/12 - t**3\/2 - t**2 - 13*t. Let g(y) = 34*n(y) + 6*r(y). Differentiate g(d) wrt d.\nAnswer: 32*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + r - 1. Let j(p) = 40*p**2 + 4*p - 3. Let x(i) = j(i) - 4*n(i). Let c(f) = 466*f**2 - 229*f**2 - 236*f**2. Determine x(c(a)).\nAnswer: 36*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 18*a - 13. Let c be x(17). Suppose 44 = 4*t + c*s, -t - 4*t + 50 = 4*s. Suppose -t = -4*f + f. Solve -f*j = -1 - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1606, -4 in decreasing order.\nAnswer: 1606, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 1:57 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -14 + 5 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3867 divided by -1289.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6762 = -3*h, 2*h - 13*o = -18*o + 4508. Does 46 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.45 - -0.95. Round u to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 133821\/35 in 5, -0.018, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-658)\/(-84) - 7) + 11\/(-12)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54326686 is divided by 862.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/2, -2\/15, 219 in ascending order.\nAnswer: -1\/2, -2\/15, 1\/2, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 26. Sort 5, 4, u in ascending order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/11155 and -26\/3105?\nAnswer: 301185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -21 - (-96)\/(-9).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 137. Let q be 0 - (5\/(-1) + m\/(-9)). Factor -7 + 9*x + q + 7*x**2 - 10*x**2.\nAnswer: -3*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 234, -0.3, 1, -1\/8, 1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(3 + (sqrt(242) + -3)*4 + 4 + 2*(-1 + sqrt(242))))**2.\nAnswer: -92400*sqrt(2) + 876100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-654)\/(-30) - (-8)\/(-10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:19 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159 - 3754 - 3339 = -403*l + 6256 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030 (base 4) in base 12?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 7*s. Let b be v(7). Suppose -20 = 2*m + 4*a, -2*m + 7*m + 5*a = -45. Let h = 4 + m. Put h, 5, b in descending order.\nAnswer: 5, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l. Give f(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26974579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22550 - -23000. Calculate the highest common factor of 330 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110 + 11220?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 147*v - 64. Let w be k(11). Suppose -w = 5*r - 4298. List the prime factors of r.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m)**(-13\/4)\/((m\/(m*m**(-7)*m*m*m))\/m*m\/m**(-7)) assuming m is positive.\nAnswer: m**(-241\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*h + 212*h - 89*h)*(1 - 5 + 2).\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -173, -386, -685?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from qqdsddsrdssgqdq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-784)\/(-42))\/(-28))\/((-20)\/(-15))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801403492.\nAnswer: 2, 79, 2536087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q - 2*d, -2*d - 13 = -3*q - d. Suppose q = -2*a + 5*a. Suppose -12*s + 5 = -19. Solve a*f = -s*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 3*x**2 + 6*x + 2. Determine m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -111110030200231?\nAnswer: -111110030200300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-280) + 2*-1*(-6290)\/350?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (61 - (-1 - -1))\/(-1). Let g(m) = -53*m**2 + 30*m + 12. Let b be g(-1). Let y = b - x. Put -3, 4, y in descending order.\nAnswer: 4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 19659319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0918 (b) 5 (c) 0.5 (d) -1 (e) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3156117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111605407 rounded to 6 dps?\nAnswer: 0.001116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 + ((-325)\/(-35) - 3). Solve 10 = 3*t + 2*s, 0 = 2*t + 5*s + 3 - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648\/132*484\/(-132).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120581417 to the power of 1\/2, to the nearest integer?\nAnswer: 10981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 4*m + 3. Let y be b(-3). Suppose y = w + 4 - 10. What is the lowest common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -765*k**2. Let d(w) = -1 + 9 + 4*w**2 - 77 + 69. Determine d(r(m)).\nAnswer: 2340900*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from mwmmmmmmwmwmmm?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from ojjoojoooojj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 p when four letters picked without replacement from rrrpprqrrtptatrt?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 2:12 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31370823 is divided by 179?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 2*i - 5*o, 0 = 3*i + 2*o + 8. Let y(m) = m + m - m + i*m. Let c(k) = 3*k**2. What is y(c(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -27, -88, -203, -390?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2791\/3 or 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36)*4)\/((84 - 24)\/5940)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 25\/3*m**3 - 1\/30*m**5 - 1\/4*m**4 + 0*m + 1 + 30*m**2. Find the first derivative of b(w) wrt w.\nAnswer: -4*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74037, 148103, 222169, 296235?\n\"Answer: 74066*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 120 = 101. Let v be 1*(1185\/13 + 2\/y). Calculate the greatest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*v)*(88*v - 119*v - 49*v) to the form g + d*v + l*v**2 and give l.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 930*r**2 + 814*r**2 - 12705*r + 13519 - 64*r**3 - 2494.\nAnswer: -(r - 1)*(8*r - 105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925 + 40826*q + 329 - 40825*q.\nAnswer: q - 596","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29373 - 29367. Let f(s) be the second derivative of -1\/15*s**z + 0*s**5 - s**2 + 1\/3*s**4 + 0*s**3 + 17*s + 0. Solve f(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -586604230*t**4 + 9*t**2 + 24101*t + 98 wrt t.\nAnswer: -14078501520*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 + 1.3. Let f = 4 - o. Let s = f + -0.1. Which is the closest to s? (a) 2 (b) 2\/15 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 29, -5, -4, 36 in increasing order.\nAnswer: -18, -5, -4, 29, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 565994 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmemdemed?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 884157.1 micrometers in millimeters?\nAnswer: 884.1571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 3881818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 83 * 1.21277\nAnswer: 100.65991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l = 61*l - 31*l - 1676925. List the prime factors of l.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -18. What is the nearest to -3\/10 in z, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*m - 407 + 407)*(2 - m**2 - 2).\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoxxxxuxuqcxoxxo. Give prob of picking 1 c and 3 x.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, 0, 44 in descending order.\nAnswer: 198, 44, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*n - 570*n - 79 = 28*w, -n - 13 = 4*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -221, 0.04, -13, -5, 2, -2\/7, 3\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(3 + 4 - 6 + (2 - 2 + 1)*(0 + 0 - 7))*(4*q - q - q).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.89155ml in litres?\nAnswer: 0.00989155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -477, -505, -553, -627, -733?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u - 65. Let a be r(-5). Solve 3*h = 19*j - 23*j + 15, -h = 4*j - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 5. Let d = -2 - n. Suppose 3*g = -d*g. Solve g = 2*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1709096.514 + -113129.\nAnswer: -1822225.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 6 - 6 to the form d + s*i and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5973, 16242, 26511, 36780?\n\"Answer: 10269*u - 4296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359402, 359381, 359360?\nAnswer: 359339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/27 - (-4)\/(11 - -1). What is l in -3\/2*l**n - l - l**3 - 1\/4 - 1\/4*l**4 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544 divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*w - 89*w - 39 = -3*u, -5*u - 5*w = -60. Solve -b - 2 = -4*d + b, -3*d - b = -u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 11439.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzozzzzoggooz. Give prob of sequence voz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from ffffvlfflvvvfl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.20494924702 - 11045.\nAnswer: -11045.20494924702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1623 + 374 + 4*t**3 + 366 + 370 + 513 - 3*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, g: 2, n: 1, t: 3, o: 1, c: 3}. Give prob of picking 2 g, 1 t, and 1 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -367.5.\nAnswer: -220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 4*y + 4. Let s be n(-4). Suppose 6 + s = 5*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3456*b - 3495. Determine j(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*(1 + sqrt(7)) - sqrt(7)) - (1*(sqrt(252) + 1))**2)*1.\nAnswer: -252 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*y**3 + 38*y**4 + 106 + 5*y**3 - 47*y**4 - 7*y - 10*y**3 wrt y?\nAnswer: -36*y**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*5\/(-35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-297)\/(-1782)*(-45)\/6)\/(2\/(-20))\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in 0.27, -9, 0.4, 0.25, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v**2 + 2*v + 9. Let i(n) = 89*n + 190. Calculate i(p(d)).\nAnswer: -1068*d**2 + 178*d + 991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3293657580*w**2 - 18*w**3 - 6*w - 3293657580*w**2.\nAnswer: -18*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3326*m**2 + 897831*m - 1012. Determine c(251).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -4*l. Solve 0 = 2*q - v - 9 - l, -4*q = -3*v - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660 and 155452?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-163)\/(-815) - (7\/2)\/(15\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*c + 5*i, 3*i - 120 = -5*c - 0*c. Let r be (-15)\/(-2)*938\/c. Find the common denominator of 29\/40 and (2*1\/40)\/((-4)\/r).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 123033?\nAnswer: -123043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 18 + 132 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7. Suppose b = -3*x + 56 + 79. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0*m**4 + 0*m**3 + 1\/30*m**5 + 0 + 0*m + 2*m**2. Let n(f) = 2*f**2 + 363 - 363. Give n(r(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**25*p*p**(10\/7))**(-7\/3) assuming p is positive.\nAnswer: p**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose -4*x - 3 = p - 6, 0 = 5*p + r*x - 15. Suppose -p*v + b = 5*b - 11, v - 1 = -4*b. What is the greatest common factor of 25 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = x - 3*x. Suppose 4 = -z - 3*d, -z - 5 = -0*z + 4*d. Let r = x - z. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*y = -1476. Suppose -5*w - 1195 = z, 13*z + 15 = 16*z. Let u = y + w. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b631 (base 12) in base 9?\nAnswer: 30271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 6*y - 82. Calculate j(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143296415?\nAnswer: 5, 31, 924493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 533*u**3 - 10*u**2 - 28*u - 2. Let d(z) = 266*z**3 - 6*z**2 - 14*z - 1. Let r(o) = -5*d(o) + 3*p(o). Find the second derivative of r(a) wrt a.\nAnswer: 1614*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 5*g + 3*w, 5*g + 8*w - 12*w - 1 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661415.\nAnswer: 5, 132283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*b - 55*b = 522 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**4 - 3*c*k**2 - 169*k**2 + 1 wrt c.\nAnswer: 8*c**3 - 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/84 + 2*s**7\/21 - 13*s**6\/30 - 41*s**5\/15 + 2*s**4 + 24*s**3 + 144*s**2 + 3. Let o(w) = 0. Calculate w.\nAnswer: -6, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25210 (base 7) to base 15\nAnswer: -1e67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/14 - -26\/21. Let h = -4720\/9 - -517. Find the common denominator of h and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 1312*z + 645504.\nAnswer: 2*(z + 984)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -587111*m*q**3 - m*q + 231405*m wrt q.\nAnswer: -3522666*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 493, 1687, 4025, 7891, 13669, 21743, 32497?\nAnswer: 46315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 35*i**2 - i - 3. What are the prime factors of m(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 744, -30 in decreasing order.\nAnswer: 744, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 10. Let u be y(-7). Let d(a) = -6*a**2 + u*a - 4*a - 13*a. Let n(o) = 0*o**2 + 7*o**2 - 10*o**2. Determine d(n(x)).\nAnswer: -54*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 91750*k - 420903125.\nAnswer: -5*(k + 9175)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 + 22*b + 68. Let l be h(-4). Solve 0 = 99*a - l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.1 - 31. Let d = 271.6 + -272. What is the closest to n in 3, -14, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3674466?\nAnswer: 2, 3, 204137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17191419\/101 > 170212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 + 10 = 0. Suppose -2*c + 5*m + w*m - 17 = 0, -m = 2*c - 13. Let 2*s**3 + 0 + 2*s**2 + 4\/7*s + 4\/7*s**c = 0. Calculate s.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.39 and -6303.\nAnswer: -6303.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 - 4*r - 13. Determine f(7).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 373\/16980 + -3\/566. Let i(u) be the third derivative of 0*u**4 + 0*u**5 + 0*u**3 + n*u**6 + 3*u**2 + 0*u + 1\/168*u**8 + 0 - 2\/105*u**7. Factor i(x).\nAnswer: 2*x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 95. Let y(l) be the second derivative of l**3\/2 - 185*l - 2. What is y(i(f))?\nAnswer: 6*f**2 + 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213658.3676 rounded to the nearest 1000?\nAnswer: -1214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 + 18*j**2 - 18*j**2)*(2*j + j - 2*j)*(-2*j + 2*j - j) - 2*j**4 - j**5 + 2*j**4.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 31*b - 24*b + 2. What is the closest to -11 in -12, 1.1, 0.1, b?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442647*d*y**2 + 10*d*y + 16589*d - 2*y wrt y?\nAnswer: 885294*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100398 - -140776. What is the greatest common factor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -20*g**3 + 44*g**2 - 24*g - 8. Let y(c) = -7*c**3 + 15*c**2 - 8*c - 3. Let f(q) = -3*h(q) + 8*y(q). Determine p, given that f(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-204)\/(-60) - (-4)\/(-10). Suppose 34 = u*d - 4*a - 51, -d + 3 = 5*a. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - -7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.51259 millennia to centuries.\nAnswer: 945.1259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 3*x + 29*x - 4*x**3 + 3001 - 3001 + 26*x in the form p*x + d + c*x**3 + q*x**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 31. Let m be q(13). Differentiate -m*u + 46 + 36 + u**4 + 26*u - 109 wrt u.\nAnswer: 4*u**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/54 and 49\/1674.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2 + 69*p - 68 = 0.\nAnswer: 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -214159*y. Let c(t) = -t. What is c(g(n))?\nAnswer: 214159*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/48 + 5*z**5\/36 - 5*z**4\/16 + 5*z**3\/18 + 129*z**2. Suppose u(a) = 0. What is a?\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7595*c - 7652*c - 7565*c - 7572*c + 30346*c.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 3 - 3)*(-18 - 11*c + 18)*(-4 + 4 + 2*c**2 + (-5*c + 6*c + c)*(-3*c + 3*c + c)) to the form v*c**4 + y*c + q*c**2 + d*c**3 + s and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-4 - 3) + -2 - (2 - 1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -11165614?\nAnswer: 11165617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328 and 1551727.\nAnswer: 12413816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.1, 1.66, -1095?\nAnswer: 1.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 119160.\nAnswer: 238320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -3 (b) -1 (c) 3\/8 (d) -1432.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edl when three letters picked without replacement from lnnedldeedlelll?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*d + p + 136, d - 24 = -3*p. Suppose -f + d = f. Suppose -f*t - 1535 = -23*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, p: 1, b: 3, k: 5, n: 1}. Give prob of sequence kbp.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - -635. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443941 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.9 + -0.3. Let w = x - 39. Let j = -59 - -54. Which is the closest to 1\/3? (a) -0.5 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 32 = -3*q + 3, 4*n - 33 = q. Suppose 4*k - 3 = n*k. Let x = k + 3. Calculate the remainder when 5 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 5*q - 4. Let c be v(3). Let g = c - -35. Solve g*b - 5*b + 22 = d, -5*d - 2*b - 25 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**2 - 13*l - 1. Let f be z(-1). Suppose 11*t - 46 = 9. Solve -21 = -f*x - t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -8, 467240?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13600.17 + -13600. What is the nearest to -0.1 in 2\/9, 4\/7, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1908, 7671, 17282, 30747, 48072?\nAnswer: 69263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 2\/(-26) - 8757\/(-273).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9. Suppose -5*c = 15, 7*m - 22 = 2*m + 4*c. Let j = m - w. Solve -13 = -5*y + a, -2*y + 10 = a + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35218.3 times 1649\nAnswer: -58074976.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x**3 + x**2 - 3. Let k(f) = -17*f**3 - f**2 + 2. Suppose -2*l + 3*q + 28 = -0*l, l = -9*q - 70. What is l*y(u) + 3*k(u)?\nAnswer: -19*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 96 = -x - a, -5*a - 289 = -4*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*g = -26*g - 589225. What are the prime factors of g?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -636 and 2.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110, -115, -124, -137?\n\"Answer: -2*b**2 + b - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/16 + (-12)\/(-96))*96\/(-8). Let a(w) = -7*w + 54. Calculate a(u).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-50)\/(-1))\/(-5))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6*u**5 - 131*u**4 + 22*u**3 + 8100*u**2 - 21600*u + 3375 = 0.\nAnswer: -15, 1\/6, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 182.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -4 - (-20 + 18) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188, -130, -82, -50, -40?\n\"Answer: -r**3 + r**2 + 62*r - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -15 in increasing order.\nAnswer: -15, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2165699 is divided by 451.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101100 (base 2) in base 10?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5345 and 3?\nAnswer: 16035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:22 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from jtxxvjd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c**2 - 51*c + 51*c - 2*c**3 to f*c + w + b*c**2 + x*c**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, t: 3, e: 1, h: 1, s: 1}. What is prob of sequence dh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338214199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 151036?\nAnswer: 151041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(1\/55)*(((b*b**(-3))\/b*b)\/b*b)\/(((b*(b**(3\/7)\/b*b)\/b)\/b)\/b))**(4\/25) assuming b is positive.\nAnswer: b**(-632\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -428 - -277. Let u = -151.1 - o. What is the nearest to -1 in -2\/5, u, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2283815 is divided by 65?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12 + 2*z**3 - 10*z**3 + 2*z - 12. Let i(h) = -57*h**3 + 15*h. Let s = -66368 + 66398. Determine s*a(o) - 4*i(o).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*i - 196, 4*s - 191 = 2*s + i. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42380 (base 9) to base 7\nAnswer: 144453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(176\/11)*(-132)\/(9 + -6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**6\/1260 + t**5\/210 + t**4\/84 - t**3\/6 + 4*t**2. Let s(d) be the first derivative of p(d). Determine w so that s(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -752 (b) 2 (c) -1\/9 (d) -5 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) - 216\/40. Let o be (-4 - -1)\/(3\/(-10)). Let v = b + o. Calculate the lowest common multiple of 11 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 1)*(2 + 1 - 5) - 2 - 7 - 5)*(-4*g - 4*g + g) in the form y*g + j and give y.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 24*w - 9. Suppose 11 = -2*u + 119. Suppose -u = -9*v + 36. Calculate the remainder when 154 is divided by m(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + -106.41. Let i = 0.590001 - a. Round i to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lltzztzzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -306 + 121. Let c be (-5)\/50*a + 2\/4. Solve -17 = -2*y - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/336)\/(2\/(-42))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(0 + 1\/132). Let t = 232 + 61. Suppose -t - l = -5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 1325. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -1, 7404 in increasing order.\nAnswer: -1, 1, 3, 7404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -434? (a) -31 (b) 0.5 (c) 12 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*q + 16, -p + 5*p = -5*q + 12. Let f be 2\/p - 6\/120. What is the second biggest value in -1\/3, -2\/23, f?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40294 + -130418. Let y = h + 1538471\/9. Let p = y - 229. What is the common denominator of p and -68\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4617426.1 rounded to the nearest ten thousand?\nAnswer: -4620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdpd when four letters picked without replacement from {p: 2, d: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 459691081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + -6 - 6*-2. Solve 14\/17*a**z + 0 - 10\/17*a**3 - 4\/17*a = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - t**2 + 4. Let f(w) be the second derivative of -w**2\/2 - w. Give 4*f(g) + p(g).\nAnswer: -2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*c + 6 = 0. Let w(m) = -5*m**2 + 23*m + 3. Let a be w(5). Let h be c\/a + (-186)\/(-14). What is the highest common factor of 104 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -2*z**3\/3 + 16. Let u(g) = -g + 3. Let m(c) = 3*c - 7. Let j(i) = 3*m(i) + 7*u(i). Calculate p(j(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 16 = -5*m, -3*m = 3*w + w - 14. Let o(i) be the third derivative of w*i**2 + 0*i - 1\/24*i**4 + 0 - 5\/6*i**3. Give o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.4, 1886\/3, 15\/11 in decreasing order.\nAnswer: 1886\/3, 15\/11, 0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100020391 is divided by 735444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -2*r - 1. Let v = r + 149. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/616 and -67\/616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2660, 3513, 4366?\n\"Answer: 853*t + 1807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 13*q = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 - 4246*w**2 - 5141.\nAnswer: 6*w**2 - 8492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8624144832?\nAnswer: 2, 3, 163, 239, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c + 3\/32*c**5 + 0 - 75\/64*c**4 - 1\/320*c**6 + 5*c**2 + 125\/16*c**3. Solve s(l) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j = 4*q - 31, -30 = 4*j + 2*q. Let f(u) = -u**2 - 7*u + 2. Let r be f(j). What is the units digit of ((-10)\/4)\/(r\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/((-4)\/(-66)). Let a = v + -6. Solve a*c + 16 = -3*s, 3 = s - 5*s - 3*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 16\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-364466 + 952\/(-28))\/((-2)\/(-1320)). Round r to the nearest 1000000.\nAnswer: -241000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132661\/4 < 283166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.20199 + 1997.59801. Round v to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/9)\/((-8)\/(-366)). Suppose 15*f**2 + 0 + 21\/4*f**4 - a*f**3 + 49\/4*f**5 - 2*f = 0. What is f?\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k\/((k*k*k**(-25)*k)\/k)*k)))\/k*k)\/k**(-14\/3) assuming k is positive.\nAnswer: k**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-4) - (-3)\/1. Suppose -8 = -5*o + 5*w + 12, b = 4*o + 2*w - 16. Suppose o*p = -j - 21 - 30, -5*j - 318 = -p. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2231*o - 24507. What is i(11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 57*x + 57*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 668.56201 to one dp.\nAnswer: 668.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -8 + -97 + 104. Let v(u) be the second derivative of f*u**3 + 0 - 1\/2*u**2 - 10*u - 5\/12*u**4. What is v(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -0.2, 2\/11, 0.96?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -10. Let h = 4 + o. What is the units digit of h*(1 - (-2 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-1)*s)\/s)\/(s**(-1\/30)*s) assuming s is positive.\nAnswer: s**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 55\/(-130)*2 - (-5220)\/(-130). Put -0.42, m, 4 in increasing order.\nAnswer: m, -0.42, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (8 + (5 - 8)) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336) - sqrt(336)*1)\/sqrt(8) + 1*(sqrt(168) - sqrt(42)))\/((sqrt(864)*-1)\/sqrt(4)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 28*l - 2*l**3 + 69*l + 182*l - 26*l to the form c + f*l + h*l**2 + p*l**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1\/(-15)*80\/(-48)). Suppose 5*f + c - 662 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y**2 + 39*y + 3. Suppose -b + 7 - 23 = -4*v, 5*v - 2*b = 20. Let q be w(v). Let t = 1 - 1.1. What is the second smallest value in -1\/38, t, q, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 8. Suppose -6*s + 3*s = -15. Let a(h) = -3*h + 15. Let x(m) = s*l(m) - 3*a(m). Calculate x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27671.017 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -20*k. Let b(t) = 157*t + 7. What is b(z(s))?\nAnswer: -3140*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.5 - 10. What is the closest to 1\/4 in -3\/7, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29860.98 to the nearest one hundred.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0, -1\/2, -2\/15, 2\/19, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 29917 = -3*f, 2*f + 2*k - 3534 - 16414 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -92, -586, -1286, -2192, -3304, -4622, -6146?\n\"Answer: -103*g**2 - 185*g + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k + 10773 = 9843 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0 + 0*u + 0*u**2 + 2\/11*u**4 - 4\/11*u**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 106. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 8. Let d be q(-10). Suppose -c = x - 9, -d*x - 7 = -2*c + 19. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66, -49, -28, -3, 26, 59?\n\"Answer: 2*u**2 + 11*u - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(2*-1) + -1. Suppose -p*x + 47 = v - 3*v, v + 29 = -3*x. List the prime factors of v\/(-12) + (-5)\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x. Let a(f) = -140*f - 117*f + 241*f. Let u(b) = -2*a(b) + 5*s(b). Let g(y) = -4*y. Calculate g(u(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -145958, -291881, -437804?\n\"Answer: -145923*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9 and 2\/8 - 524\/(-48).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 122, 190, 284, 404?\n\"Answer: 13*d**2 + 3*d + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 697719149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 40. Suppose 0 = 2*l - z*o - 138, 0 = -l - 4*l - 3*o + 280. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.7441 and 2.678.\nAnswer: 26.0946998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*c - 30 - 16 = 0, 0 = x - c + 2. Let y(g) = -22*g - g**3 - 9 + 6*g**2 + 20*g + 2*g**3. Calculate the lowest common multiple of 8 and y(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -129. Calculate the common denominator of (-39)\/((-1 + 3)*1) and 12\/(-16)*a\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21054007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 28*i**3 - i**2 - 33*i - 88. What is the remainder when t(7) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m - 4. Calculate q(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -53.9886. Round n to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o + 15*o - 103*o**2 - 21*o + 319 - 2*o**3 - 317 to the form l*o**2 + c*o + g + p*o**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2*sqrt(11)*1 + -3)**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 192*o + 188031 - 2179263. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 240 = 6*h. Let g = -10 - 8. Let i be (g\/(-21))\/((-2)\/(-28)). What is the highest common divisor of i and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-548)\/306 - 3654\/(-2349).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 19*x**2 - 22*x - 21. Suppose -5*j + 16 = -4*d, 2*j - 3*d + 2 = 7. Calculate the smallest common multiple of q(-1) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.06 - -0.06. Sort 3\/4, 0, j, 1 in ascending order.\nAnswer: j, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*q**(-6))**(2\/3) assuming q is positive.\nAnswer: q**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 1, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 7 + 3 + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:31 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19*910\/4446)\/(5\/6))\/((-40)\/(-18)).\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15978 is divided by 131.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1848 and 7777?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*m + 3*t, -4*t - t - 14 = -2*m. Let q = m - 4. Let h(z) = z**2 + 4*z + 2. Let b be h(-4). Solve q = -b*s - s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u - 1. Let k be l(-1). Let w = 9 - k. Let n = -8 - -4. Sort 4, n, w in ascending order.\nAnswer: n, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*i + 1 - 34*i + 0 + 2*i + 4 as b + c*i and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -522803, -1045591, -1568379?\n\"Answer: -522788*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189930319 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 11. Let r = 21 - p. Suppose -17 = -5*m - 2, w + 2*m - r = 0. Solve -4*v = -w + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -l - 7, 0*y + 15 = 5*y. Suppose 2*w - l*x - 294 = 0, -3*w - 4*x + 441 = -3*x. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 720.\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 7. Let w be j(3). Suppose 0 = -2*v + w - 1. Solve -3*f + 22 = -2*z, 0*z = -f + z + v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-331 + 330 - (2 + -1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:44 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*b + 2*m, 4*b + 2*m + 0*m - 8 = 0. What is the least common multiple of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-56)*(-84)\/(-36)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from wwwmwwwwwwwwwwmwwww.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -779*r**4 - 1554*r**2 - r - 1686891 wrt r?\nAnswer: -9348*r**2 - 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -301941\/55 - -5490. Let k = u - -1\/5. Is k bigger than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-16\/5)*d)\/d*d*d\/d**(3\/16)*(d*d**(1\/8))**(1\/15))**(-47) assuming d is positive.\nAnswer: d**(987\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 189010661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + c - 12 = 0, 2*v - 4*v = 4*c - 8. Calculate the remainder when 12 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(3 - (-26)\/4). Suppose -5*r = -r - b - 380, -r = b - o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + k**2 + 2*k + 1. Let w be b(-1). Suppose 4 = w*h - 28. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 934120*m - 934116.\nAnswer: -4*(m - 233529)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2166725 + 4415785461\/2038. What is the common denominator of -5\/6 and f?\nAnswer: 6114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 37 - 12 = 0. Suppose 9*h + 3*w - 1832 = 4*h, -1840 = -5*h - b*w. List the prime factors of h.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -139, -137, -135, -133, -131?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/856975 and 41\/3953.\nAnswer: 57417325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let y be ((-1)\/3)\/(f\/(-6)). Let t = -2\/3 - -3\/2. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/(((-60)\/32)\/5). Calculate the greatest common divisor of f and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 114, 9, -0.1, 0.132?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.9 + 15.721. What is z rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.62856 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 17330?\nAnswer: 17332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*w**3 - 79*w - 337*w + w**2 - 1832*w.\nAnswer: 189*w**3 + w**2 - 2248*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.4 + 23. Let m = 0 - -0.1. Let u = m + v. Which is the third smallest value? (a) 3 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 317.42 and -7?\nAnswer: 324.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1811 + -12653\/7. Solve -i*l + 24\/7*l**3 - 10\/7*l**2 + 18\/7*l**4 - 8\/7 = 0 for l.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 4*r**2 + 6*r - 4. Let s be o(5). Let g = s + -1. Suppose g = 2*t + y + 3*y - 38, -2*t = 5*y - 38. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 17 - 21 - 18. Suppose -5*o = -0*o - 20. Solve 0 = k*m - 5*m - o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5, -5*y + 586 = -4*a - 819. Calculate the remainder when 3699 is divided by y.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881710 divided by 976342?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*r - 4*d, 2*d + 7 = -2*r - 3*d. Suppose -5 = r*g - 13. Suppose g*s + 5*h = -5 - 3, 5*h = -3*s - 2. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6062\/20 + (-9)\/90. Let o = 267 - p. Which is bigger: -35 or o?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 3*d - 54 - d)*(0*d + 2*d - 5*d).\nAnswer: -3*d**2 + 162*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -1*(0 + 1). Let v(i) = 5*i + 3. Let h(s) = -3*s - 1. Let d(a) = 5*h(a) + 2*v(a). Is d(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 greater than or equal to -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 1 - 2*d**2 + d + 21 - 5*d**3 to g*d + o + v*d**3 + n*d**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -28. Does 33 divide 69*(16\/a - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4424 + 4416 = 6*p + 4*t, 2*t = p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -164124\/11 or -14921?\nAnswer: -164124\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*s - 3*s + 7*s)*(-2 + 0 + 1)*(-4 + 8 + 1).\nAnswer: 55*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3805.\nAnswer: -1\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43599462 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 4\/3*m**3 + 2*m + 0 - 1\/20*m**5 + 1\/2*m**4 + 3*m**2. What are the prime factors of r(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*q - 20*s + 17*s, 5*q - 19 = -s. Let x(h) = 30*h**3 + 8*h**2 - 7*h - 14. List the prime factors of x(q).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -658b0 (base 14) to base 11.\nAnswer: -158860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let g(l) be the first derivative of 21 + 0*l + 4\/3*l**3 + 0*l**2. What is g(a(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 1\/4, 940, 16, 241?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8133.754 weeks?\nAnswer: 1366470.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 129*k**2 + 251*k + 250. What is i(-127)?\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1257483\/200 - 27099\/25. Let d = -7381 - r. Let c = -17\/63 - 2591\/126. Find the common denominator of c and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 20*i**2 + 21*i - 13. Calculate v(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/52*12\/10*11\/(5775\/250)\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 544 + -493.2. Let i = g + -51. Let t = 1 + -0.9. Which is the nearest to -1\/4? (a) t (b) i (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6061 + 7864. Is 36 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7450 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128966435.\nAnswer: 5, 13, 152623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000923 rounded to 7 decimal places?\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-21 - -41 - -2) - -11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10111010 (base 3) to base 4\nAnswer: -213231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464.847kg in micrograms?\nAnswer: 1464847000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*2 + -2 + sqrt(272) + ((sqrt(204) - 1*sqrt(204))*6)\/sqrt(12))*6)**2.\nAnswer: -1728*sqrt(17) + 88272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1430231 (base 5) to base 11\nAnswer: 20653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 2:04 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, -1, 158\/10499?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -35*m + 2. What is j(2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7369?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10029670639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -506, -712, -902, -1070, -1210?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s**5 + 5260*s**4 - 175692*s**3 + 1049816*s**2 + 893758*s - 336996 = 0. Calculate s.\nAnswer: -407, -1, 2\/7, 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 32 = -v, 19571*s - 2*v + 0*v = 19561*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Let q be (v + 0)\/(1*-1). Suppose 257*b = 1158 - 387. Put b, q, 4, 10 in descending order.\nAnswer: 10, 4, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 37988082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 27*k - 1. Let c be w(1). What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + 0.2. Let x = 3.13591 + -0.13591. Is x > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1151\/102 + -134\/17. Let m(p) = p**3 + 6*p**2 + 5*p - 3. Let r be m(-5). Find the common denominator of r + 2 + (-98)\/(-16) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6995*y**4 - 5 - 3496*y**4 - 3496*y**4 + 2*y**3 - y as z + w*y + o*y**3 + n*y**4 + v*y**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0646 - -16.2198386.\nAnswer: 16.1552386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293287.6 micrometers to meters.\nAnswer: 0.2932876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -200. Suppose 0 = -5*z + y - 50. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*h + 142*h - 1720 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1041381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -3 - 14) + (-278 + 167 - -24)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/4 + 13*i**3\/6 - 12*i**2. Differentiate j(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 3:57 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -14*f + 0 + 125\/2*f**2 + 5\/2*f**4 + 2*f**5 + 1\/6*f**6 - 100\/3*f**3. Let p(q) = 0. What is q?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -853*m**2\/2 - 30*m - 12. Let r be t(-10). Round r to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 12*g**2 - 9*g + 33. Let t be c(-11). Let s(h) = -30*h - 6. Let x(p) = -6*p - 1. Determine t*x(z) - 2*s(z).\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 - 17516*d**2 + 474638*d + 2178680 = 0 for d.\nAnswer: -8785, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 2:05 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -3. Suppose 5*z = -n - 25, 5 + 9 = z + 4*n. Does 9 divide 12*l + (-3 - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 42*m. Let p(x) be the first derivative of -3*x**2 + 383. Calculate p(r(l)).\nAnswer: -252*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 14 = 8*x. Let r(t) = 557 - 557 - 4*t**x. Let u(k) be the third derivative of k**5\/60 - k**2. What is u(r(j))?\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-18 + -4 + 4 + 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2 - 8*v**2 + 4*v**2 + 0 - v. Let s(k) = -5*k**2 - k + 3. Let a(z) = 4*g(z) - 3*s(z). Suppose 0 = -819*u + 807*u. Give a(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:20 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 - 514*c**3 + 13494*c**2 + 28538*c + 14528 = 0. Calculate c.\nAnswer: -1, 32, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a - 280 - 4*a + a + 46 + 43*a**4 with respect to a.\nAnswer: 172*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913*y**2 - 917*y**2 - 14*y**3 + 2735*y**2 - 906*y**2.\nAnswer: -14*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 3*t**2 + 4*t + t**3 + 1\/12*t**4 + 0. What is d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 576 - 555. Solve -3*y = n - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9828 + 16056 = -12*l. Suppose -5*x - 8058 + 1023 = 0. Let d = l - x. What is d rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818472649 to the power of 1\/3, to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 102 = -k + 3*c, -k + c = -122. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.7. Let n = -0.3 - g. Let h = -1 + n. Which is the closest to h? (a) 5\/4 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 8\/7 (c) -73\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 + -12 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7409*c**3*t - 35*c**2*t + 18*c*t + 54 wrt c.\nAnswer: -44454*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*q + 127*q - 44*q**3 - 2 + 152*q**3 + 6 in the form o + h*q**3 + n*q**2 + j*q and give h.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20445, 0.4, 0.11 in increasing order.\nAnswer: -20445, 0.11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383364067?\nAnswer: 37, 10361191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from {m: 13, a: 6}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 263.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 1. Let t be d(-7). What is the smallest common multiple of 8 and (-2)\/(-10) - t\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 - (-1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820378?\nAnswer: 2, 7, 130027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 174, -5, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.8 + -7. Let h = 0.3 - 0.8. Let j(m) = 2*m + 4. Let w be j(0). What is the biggest value in h, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/100 and -49\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264813 is divided by 157?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -346, -686, -1016, -1330, -1622, -1886, -2116?\n\"Answer: k**3 - k**2 - 344*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (817\/(2723061\/1818))\/(-3*(-2)\/726).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, -426 in decreasing order.\nAnswer: 14, -3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 7*y\/4 - 5\/2.\nAnswer: -(y + 2)*(y + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -451003634, -902007270, -1353010906, -1804014542, -2255018178?\n\"Answer: -451003636*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5 - 38997*u**4 - 468162*u**3 + 2106346*u**2 + 5461185*u + 2925675 = 0. What is u?\nAnswer: -15, -1, 5, 39009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 40 (b) -2\/49 (c) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 11:57 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -593, -708, -931, -1298, -1845, -2608, -3623?\nAnswer: -4926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -8. Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*r - 7, 4*r + 0*g - 12 = 4*g. Suppose 5*n**r - 25*n**2 + 15*n + 6 + n**2 + 10*n**2 = 0. What is n?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, u: 4, f: 2, q: 6, k: 1, g: 1}. Give prob of sequence ii.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, 0.46, -4, -2\/1251?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 31. Suppose 5*q - 11 = -2*w + 13, 5*q = 6*w + 8. Solve -2*m - 2*x + 2 = 0, w*x - b = x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*w = 3*w + 107, 6 = 3*w. What is the tens digit of (o\/(-6))\/((-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24105865 divided by 688739\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90522396 divided by 12.\nAnswer: 7543533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -8 + 5 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3\/3 - 4*h**2 - 9*h - 2. Let w be q(-6). Solve -16 = w*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 - 27 - 2*q)*(-3*q + 3 - 2 + 2*q) to w*q + s*q**2 + l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8678069180 and -822.\nAnswer: 8678068358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2063 is divided by 120.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 7*q**2 + 6*q + 2. Let v be p(6). Suppose 3*m + i - v*i - 487 = 0, 2*i = 4. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*m - 13 = 0, 2*d + 2*m = -m + 1. Let i be (1 + -2 - 5)*6\/(-9). Suppose i*y - 42 = d*y. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/260 and 17\/880?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 45*n - 34*n. Does -30\/271 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 13*p**2 - p + 11. Let v be k(13). Let h = -3.9671 + -0.0329. Which is the biggest value? (a) h (b) v (c) 2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -897 times 0.356\nAnswer: -319.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*b - 21*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2893*z**3 + 16137*z**3 + 14628*z**3.\nAnswer: 27872*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f**2 - 38*f + 29. Let p be k(33). What is p rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 42*g**2 - 33*g**2 - 13*g**2. Let k(s) = 2*s + 20. What is h(k(b))?\nAnswer: -16*b**2 - 320*b - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 1:55 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5381 (base 15) in base 4?\nAnswer: -10110013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 708 (base 11) to base 9\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 2*p - 3*p)*(-151 + 2*p - 310 - 375)*(-3*p + 0*p + 2*p) to the form k + a*p + q*p**2 + c*p**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l)*(l + 0*l + 0*l)*(687 - 979 - 2007).\nAnswer: 2299*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxx when three letters picked without replacement from xpxpxpxppppxxx?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:25 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*d + 40106, -5*z + 3*d - 72672 = 27658. Let m = z - -12863. Round m to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 7*i**2 - i - 5. Let c be y(-7). Suppose g - c*g + 5 = 0. Let m = 270 + -268. Calculate the highest common factor of g and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q**(-1\/3))**33 assuming q is positive.\nAnswer: q**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = 2*o, 9*o + y + 3 = 14*o. Which is the nearest to 2\/7? (a) 1 (b) o (c) -1\/6 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 126?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1357282, 2714560, 4071838, 5429116?\nAnswer: 6786394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {p: 3, k: 1, w: 1, j: 2, h: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 21) + -6 + 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(1*(1 - 2)). Suppose -3*x + 5*x + 26 = 5*i, 3*i + 5*x + 3 = 0. Suppose -2*n - 21 = -3*t, -i*t + 2*t + 24 = 2*n. Solve -r - t = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 20*a**2 + 1. Let u(p) = p**2 + 10*p. What is u(z(n))?\nAnswer: 400*n**4 + 240*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/3 + 49724*y\/3 - 618119044\/3 = 0.\nAnswer: 24862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172a38 (base 14) to base 4.\nAnswer: 3012302122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 13 - (0 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -4 (c) 10 (d) 163.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/36)\/((-2)\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/27 - 53\/540. Which is the third biggest value? (a) -0.1 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + -10 + (22 - 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39010 - -14990. What is t rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -6. Factor -2\/9*p**3 + 2\/9*p**4 + 2\/9*p + 0 - 2\/9*p**u.\nAnswer: 2*p*(p - 1)**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.5 + 4. Let o be (-9 - (9 - 1161\/63))*6\/9. Which is the nearest to v? (a) -3 (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = m. What is the second derivative of 19*y**5 - 8*y**5 + 13*y + m*y wrt y?\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/(-8) - -1*2 and (7 - 2)*(-6)\/33?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 0*i**3 - 8*i**3 + 2*i**5 - i**5 + i - i + (i**4 - 3*i**2 + 3*i**2)*(-i - i + 0*i).\nAnswer: -i**5 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -16. Suppose -5*o = -i*o + 2. Let z = o - 1. Calculate the smallest common multiple of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or 309892?\nAnswer: 309892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 7*f + 5*f)*(-6*f - 2*f - 4*f) as z*f**2 + d*f + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 28*c**2 + 17*c + 18. What are the prime factors of j(-13)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:59 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-50)*(-10)\/(-4). Solve x - z = 2*m, 0*x - 2 = -3*m + 4*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*v - 14 = 0, -3 = z + v - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 160.18?\nAnswer: 160.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2) + ((-9)\/(-2) - 1). Let b be ((2 - 3) + u + 4)\/1. Let h = 5 + b. Calculate the highest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584141244 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 16. Let a be ((-4)\/6)\/((-3)\/(-9)). Is a greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 6 = -510*g + 508*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15635 and -190.\nAnswer: -189.84365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10313020 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 4) to base 12\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*t - l - 2, 0 = -3*t - 4*l - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/23, 0.2, 0.03, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1404 and 161757.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-268 + 779 - 1090 - 1664)*(-1 - w + 1) to v*w + s and give v.\nAnswer: 2243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211033232 - -21?\nAnswer: 2211033313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2020.\nAnswer: -2019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4572136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2. Let x(m) be the first derivative of -m**2 - 2. What is x(q(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2. Let o(f) be the second derivative of 8*f**3\/3 - 118*f. What is h(o(x))?\nAnswer: 1024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -56 - 20 - 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960812 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: In base 12, what is 668 + 31b?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/16 - 5*v**4\/12 - 25*v**3\/24 + 631*v - 2. What is n in s(n) = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.8967km in nanometers?\nAnswer: 36896700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12543059865 from 2.9.\nAnswer: -12543059862.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-28)\/(-12) - 3). Sort -5, v, 0.5 in decreasing order.\nAnswer: 0.5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - y - 6, -12 = w - 0*w - 4*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Let x(u) = u**3 + 11*u**2 - u - 3. Let j be x(-11). Solve 0*f - j = z*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436035.1 + -42255?\nAnswer: -478290.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26146987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.3 + 9.1. What is the third smallest value in 0.2, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 + 3*f - f**3 - 2*f**4 + 6*f**3 - 12*f**2 - 3*f**3 in the form b*f**3 + t + l*f + y*f**4 + u*f**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, 1 k, and 1 d when four letters picked without replacement from tttftdttktttft?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 + 16*x**2 - 11*x**2 + 14*x**2.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = -3, -4*p = -5*g + 7. Is 20 a factor of 18\/((-4)\/g + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = c + 4, -8 = 2*c - 4*a - 24. Suppose 4 = -4*g + 4*p, c*g - 17 = -4*g - 3*p. Solve -j + 2 = g*n - 1, -n = -3*j - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.34865 microseconds in milliseconds?\nAnswer: 0.08934865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - (-8)\/(-12). Let j be -5 - (3 + -7) - 5. Let k = -5 - j. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2444*i**3 + 3*i**2 - 6*i - 3. Let h(g) = 2443*g**3 - 4*g**2 + 8*g + 4. Calculate -3*h(f) - 4*n(f).\nAnswer: 2447*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 + 101?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.11 - 0.29. Let u = r + -0.6. Sort -0.4, u, -2.\nAnswer: u, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 22\/7, -4\/7, -4?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/17)\/((-14)\/238)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 7:36 AM?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 852735024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -317090*z**2 + 16*z + 51499190.\nAnswer: -634180*z + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753*k = -755*k. Suppose k = h - 3328 - 1003. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4546 + 0*v - 4614 + v + v**2 + 9*v**2.\nAnswer: 10*v**2 + v - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.140423704 rounded to 5 dps?\nAnswer: -0.14042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138577238.\nAnswer: 2, 61, 1135879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38.2 + -36.2. Which is the second smallest value? (a) v (b) 2\/19 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (6\/21 - (-791)\/147). Let t = -446\/3 + 150. Let 25\/3*a**3 + t*a - v*a**2 + 0 = 0. Calculate a.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -22*l**3 + 6 + 5*l**2 + 3*l**3 + 0 + 5*l**2. Let s(o) = o**2 - 1. Let a(f) = -j(f) - 6*s(f). Find the third derivative of a(d) wrt d.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:24 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - b)*(31 - 31 + 2*b) + (2*b - 2*b - b)*(-2*b + 3*b + 0*b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19029*h - 19029*h - 22*h**2 - 29*h**2.\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 93, 215, 397, 645, 965, 1363, 1845?\n\"Answer: a**3 + 21*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 3*d**2 - 2*d - 1. Suppose x - 2*r + 2 = 2*x, -4*r = -2*x + 20. Suppose 4*a - x*a = -8. Determine h(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -28217*q**2. Let r(j) = 2*j - 81570 - j + 0*j + 81570. Calculate r(z(s)).\nAnswer: -28217*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58320909.\nAnswer: 3, 167, 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 1. Let o be s(2). Which is the smallest value? (a) 0.5 (b) o (c) 1\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 22. Let r = x + 28. Suppose 2*g - 28 - r = -5*b, 0 = 3*g + b - 36. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1. Let c(y) = 2*y - 16. Let x be 0 + -4*(-3)\/12. Let t(f) = x*c(f) + 5*q(f). What is the tens digit of t(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 16 = -q, 4*q + 4*i + 100 = 60 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*n - 29*n - 92*i - 196, 5*i = 4*n + 14 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*d - 24983, -4*f = -d - 20828 - 29153. Suppose -11614 = -10*q + f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(20)*1 - (-1 + sqrt(125))*3)**2.\nAnswer: -138*sqrt(5) + 2654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298946336 to the nearest integer?\nAnswer: 17290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 3582 = -3742. Which is the second smallest value? (a) 0.1 (b) -1\/2 (c) x (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2065658*f + 6196978. Determine q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46439, 92879, 139321, 185765, 232211?\n\"Answer: k**2 + 46437*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3, 0 = -5*h + 4*r - 99 + 120 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18173 is divided by 18170.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*r - 4*x + 2, -4*r - x = -4. What is the third smallest value in -15, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5851\/2 + -2925. Let o be 120\/65 - (3 + -1). Which is the nearest to o? (a) 0 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6265 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -13. Let l = 11 + z. Which is the third biggest value? (a) 5 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2. Let j(r) be the first derivative of 77*r**3 + 61. Give j(d(v)).\nAnswer: 924*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 1740144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 + 9*p - 8. Let w be q(7). Suppose 0 = 14*b - 178 - 130. Suppose -8*o - w = -b. Let i(y) = -y**3. What is i(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*y + 2, -3*m - 6*y + 2*y - 14 = 0. Let b(l) be the third derivative of 0 + 1\/24*l**4 + 0*l - 1\/3*l**3 + 7*l**2 - 1\/30*l**5. Give b(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 3*l**2 + 3*l**2 - 7*l**2 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, 459, 1792, 3659, 6060, 8995, 12464?\nAnswer: 16467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + q + q = 0. Let k = -3022 - -3019. Which is the nearest to q? (a) -0.2 (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from dsaeacd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.1 + -9.1. What is the second smallest value in 1, -0.4, q, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {m: 9, e: 6, d: 4}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a08094 - 5?\nAnswer: 12a0808a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36171314 is divided by 899.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/2 - 2938259*c**2\/2 + 1079170009320*c + 1079171478450 = 0.\nAnswer: -1, 1469130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 2 v when four letters picked without replacement from vvvttvtvtttvvvttvyv.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -p - 64, 99464 = 2*b - 2*p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15795 * -5.\nAnswer: 0.78975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.6. Let j = -3.4 + 0.4. Let d = -209\/5 + 41. What is the closest to a in -4\/7, j, d?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7280 - 7278. Put j, 15, 4, 1, 0 in increasing order.\nAnswer: 0, 1, j, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -7876, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7.5. Let h = -3.50000102 + n. Round h to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(170) + -2*sqrt(170))*4)\/((sqrt(10) - 4*sqrt(90)) + sqrt(10)) + 1)**2.\nAnswer: 68\/25 + 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28265222 - 449?\nAnswer: 28264773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*i)*(10 - 13 - 6)*(-3*i + 5*i - 8*i)*(2*i**2 + i**3 - 2*i**2).\nAnswer: 108*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*t = 17, h + 5*t = -33 + 10. What is the derivative of -10*a**3 + 4 - h + 4 wrt a?\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 27*r + 3. Which is greater: r or 2\/23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -90. Let w = -17 + k. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 6789.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -482 and -1025 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 182936 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -4, 6, 1 in increasing order.\nAnswer: -4, 1, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-86328)\/(-15587))\/((-45)\/(-780))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 734*g + 818*g - 1369*g - 2 - 5*g + 2*g + 5*g + g + g - g + g - 3*g + 3*g + (0*g - 2*g + 0*g)*(-2 + 0 + 0) + 2*g - 2*g - 2*g as m + b*g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 302002030?\nAnswer: -302001231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)*y)**17\/((y\/(y\/((y*y*y\/(y**(-10)\/y)*y)\/y)))\/((y*y\/(y*(y*(y*y*((y**(-1)\/y)\/y)\/y)\/y*y)\/y))\/y)))**32 assuming y is positive.\nAnswer: y**(1568\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 401144205 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206750 and 2150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1, -49\/10, 2\/13, 24\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/110 + 21*o**4\/22 + 20*o**3\/11 - 124*o**2\/11 - 19*o - 6. Factor j(h).\nAnswer: 2*(h - 1)*(h + 2)*(h + 62)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3) - 0)*6. Put d, 4, -3 in descending order.\nAnswer: 4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2686 and 16.\nAnswer: 21488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfqqqqff. What is prob of sequence fq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 44*d - 2823. What is r(36)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*v + 47 = 2*v, 5*v + 5 = 0. Let k be (-25)\/(-10)*12\/p. Solve -2*i - 22 = 2*u + k*u, 3*u = -5*i - 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1043218 or -1043235?\nAnswer: -1043235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 16*y - 8. Suppose 66 = n - 7*n. Let b be a(n). Calculate the remainder when b\/2*84\/(-49) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1896 and 1291464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*x**2 - 238*x**2 + 69*x**2 - 6 to a*x**2 + w + q*x and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:25 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47513815 is divided by 9502762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 8}. What is prob of picking 2 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 7)*23610\/(-60) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {u: 1, z: 2, a: 7, c: 1, y: 5, f: 4}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2604 = g. Let l = -204 - g. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:53 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1168 and 3620?\nAnswer: 1057040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/45, -0.01, 10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -822.4 + 822.392486. What is m rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*i - 30, -d + 9 = 2*d - 3*i. Suppose s - 11 = -4*n, 19 = d*n - s - 3*s. Solve n*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**4 + 375*w**3 + 1093*w**2 + 726*w + 3. Let i(u) = -25*u**4 - 4875*u**3 - 14210*u**2 - 9440*u - 40. Let v(y) = -3*i(y) - 40*j(y). Factor v(r).\nAnswer: -5*r*(r + 1)*(r + 2)*(r + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758 - 736 = -2*r - 4*p, 27 = -r - 6*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4 = -c, v = -2*c - 4*v + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 65. What is the remainder when 6 is divided by 20\/6*36\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 240 = -2*f, 14*f = y + 11*f - 31. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -56\/9*d - 2\/9*d**2 - 64\/3 = 0.\nAnswer: -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*u = -2, 2*n - 3*u = -0*u + 13. Suppose -2*l = -n - 5. Solve 0 = -l*d - 5, -3*d - 2*d = v + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 191, 381, 571, 761?\n\"Answer: 190*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14090574 or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 8*p + 13. Let c be f(9). Let x be (-1 - -16) + (-16)\/c. Let d(l) = -13*l - 1 - x*l + 25*l. Let z(m) = -2. What is 2*d(t) - z(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -360, -832, -1304, -1776, -2248, -2720?\n\"Answer: -472*h + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434700 divided by -25.\nAnswer: -17388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.44 + 2.25. Let k = -1.81000605 + a. What is k rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-2)\/(-12)*3. Let j be 2 - 2 - (-3 + k). Suppose -a - 2*i = -j, 4*i + 9 = a - 0*a. Solve z - 5*b - 9 = 1, 0 = -a*z - b - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 706 (b) 0 (c) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217.6 - -329.24. What is q rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-5))\/((-515)\/175 - -3). Does 9 divide -4*g\/(-8)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15)*-5*3\/(-66)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/i**(-6))\/i*i)\/i)\/i)\/i**(-4\/5)*i*i**(-11\/6)*i*i*i**26)**(2\/19) assuming i is positive.\nAnswer: i**(989\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(402*r - 699*r + 197*r - 1725*r).\nAnswer: 1825*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7 + -11. Let d = r + -0.625. Let n = -0.07 + d. What is n rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10141 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 4:05 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 1 + 1 + w - 3*w + w + (-w + 0*w - 2*w)*(3 - 3 + 4).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 420964.\nAnswer: -42096.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z - u = -99, 5*z + 2*u - 510 = 0. Suppose -9*d + 1477 = 1441. Suppose d*c = 8*c - z. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 19*w**2 - 31*w + 51.\nAnswer: -(w - 1)*(w + 3)*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55059240 to the nearest integer?\nAnswer: 7420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(275) + (sqrt(275)*1 - sqrt(275))*1 + sqrt(275)) + 1*(sqrt(121)*-3)\/sqrt(11)*5))**2.\nAnswer: 1197900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 10.8, -2, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/41? (a) -4 (b) -0.3 (c) 5 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 6*o + 9. Let u be q(6). Suppose -u*z + 14*z = 0. Suppose z = -4*s + 6*s - 134. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24500569.\nAnswer: 24500569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 1524\/53?\nAnswer: 1524\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*n = -622 + 535, -5*y - 162 = -2*n + n for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 + 1068*z - 384. What is q(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4865*u**3 - 25*u**2 + 314*u - 5. Let a(l) = -2433*l**3 + 12*l**2 - 154*l + 2. Let v(r) = 5*a(r) + 2*g(r). What is the third derivative of v(m) wrt m?\nAnswer: -14610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 + -115. What is the units digit of m + -3 + -4 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(5 + 4 + -8) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118697117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 17. Suppose 15*b + 180 = f*b. Let h = b - -59. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(176\/(-11))*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:14 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29497 - 14839. List the prime factors of u.\nAnswer: 2, 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50390581.\nAnswer: 181, 199, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgcmmokmkcoggk. What is prob of picking 1 c and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 2:38 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.4, 40\/9, -2 in decreasing order.\nAnswer: 40\/9, -0.4, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 2 + -3 + -29 - -20?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0.13 (c) 1\/10 (d) 2\/19 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/5 - 7912*f**4\/5 - 38064*f**3 - 1142784*f**2\/5.\nAnswer: f**2*(f - 7936)*(f + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1350*c**2 + 5*c + 1. Let p = -79 + 77. Let u be k(p). Let t = 1049 + u. What is t rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2818259 divided by -23\nAnswer: -122533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19855 and 3064890.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 4*p**2 - 2. Suppose 0 = -l - 5*k + 195 - 220, 0 = l - 4*k - 29. What is z(l)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53.7 - 358011.9943.\nAnswer: -357958.2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-12)*(-585)\/156.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**2 - 20*b**3 + 208 - 105*b**4 + b**2 - 249 wrt b.\nAnswer: -2520*b - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(-6*(-1 + (sqrt(128) - (1 + sqrt(128))))**2*-1 + 0).\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 4*o + 62, 0 = -2*h - 4*o + 94. What is the derivative of -21*d - 21 - 37*d**2 + h*d**2 + 50*d wrt d?\nAnswer: 4*d + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + -5 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -139016*o**2 + 76407?\nAnswer: -278032*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56625 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/8*-4 - (-6095)\/10. Calculate the greatest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4264*j**2*t**2 + j*t**2 + 85*j*t + 4548751*t**2 wrt j?\nAnswer: -8528*j*t**2 + t**2 + 85*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231999?\nAnswer: 7, 11, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 2 - 4 + 6.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7065*j - 79. Is u(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Let i = 107019 - 107019. Which is the nearest to m? (a) -4 (b) 5 (c) -5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/370)\/((-2)\/(-11)*2\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*-4*(sqrt(1700) - (-3 + sqrt(1700))) + -5.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.13 (c) -2\/3 (d) 1 (e) -1\/5 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 34 = 11*t. What is the smallest common multiple of 5 and t?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1394*i + 66907. Determine n(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 27355?\nAnswer: 27355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2679, -10839, -24439, -43479, -67959, -97879, -133239?\nAnswer: -174039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7.01. Let x = r + 5.41. Let h = 5 - x. What is h rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 3. Let q(v) = -10*v + 94. Let a(k) = 29*k - 282. Let j(w) = 3*a(w) + 8*q(w). Let t be j(13). Calculate y(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 5*c**2 + 8. Let d be o(5). Find the third derivative of g**2 - g**3 - 4*g**3 - d*g**2 wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14952 divided by -2136.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 - 62*r - 27. Let c(f) = -9*f**2 - 125*f - 53. Give -3*c(l) + 7*m(l).\nAnswer: -l**2 - 59*l - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4*h + 29 = -3*x, 2*x - 4*h = 14. What is the remainder when (46\/(-8) - -1)*-4 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -914\/55 - -956\/55. Find the common denominator of (-480)\/50 - (-2)\/(-10) and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -15652?\nAnswer: -1\/15652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2. Let s(m) = -12*m**2 + 3*m**2 + 22*m**2 + 5*m**2. Determine s(n(p)).\nAnswer: 288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23587003 and 5?\nAnswer: 23587008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 + 573 = 29*g. Solve -4*x + 0*t = 2*t + 18, 0 = 3*x + 5*t + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6102093 to the power of 1\/2, to the nearest integer?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 124910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 - 21 = -6*d. What is the greatest common divisor of d and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80673465 by -5.\nAnswer: -16134693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q - 12. List the prime factors of q\/(-1) - (-16)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513942, -513961, -513980?\nAnswer: -513999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 80. Let o be -303 + 1 + -1 + g. What is the hundreds digit of (-3 - -4)\/(0 - 1\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5 = -2*a, -a - 4*b + 262 = 278 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13146 - 13148. Sort -71, p, 5, 1 in ascending order.\nAnswer: -71, p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 15 = 2*p, 2*m + 1025 = 2*p + 1037 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.0543 (c) 2\/9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 2*c + 1. Let f(b) = -3 + 0 + 2 - b + b**2. Suppose -11*x - 4*u = -8*x - 17, 4*u - 16 = -4*x. Give x*l(y) - 2*f(y).\nAnswer: -4*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102111121200221 (base 3) in base 6?\nAnswer: 335013041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from occccooccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117967.\nAnswer: 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n + 1. Let c be j(7). Suppose 0 = -5*b + c - 7. What is the remainder when (0 - (-38)\/(-4))*-2 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 23528*w - 23474*w - 2 - 75*w**3 + 87*w**2 + 2 - 15*w**4 - 51*w**3 = 0.\nAnswer: -9, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((0 - -1)\/((-7)\/35)). Let z(m) = 208*m + 64. What is the smallest common multiple of z(s) and 14?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/4)\/((-5)\/(-10)). Suppose -4 = -4*s + 4. Let q = v - s. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -15.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 87*r - 616. Give h(34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.4. Suppose -r - 2*p + 1 = 0, 3*r + 4*p + p - 3 = 0. Let k be r\/2*(-20)\/95. What is the closest to 0 in k, v, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.2202nm in millimeters?\nAnswer: 0.0007352202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-144)*8 + (-3522)\/(-27). What is the highest common factor of a and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 2 + 2 + (-y + y - 12*y)*(3 - 3 - 2) - 6*y + 21*y + y.\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 626 + -b?\nAnswer: 61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -5*s, 3*s - 3*d + 1 = -2*d. Which is greater: 1\/5 or s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22824a (base 11) in base 10?\nAnswer: -362328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 66. Let g be (-9)\/(-2)*1\/((-6)\/(-8)). Solve -g = q*z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 4*n - 1. Suppose 81*i + 245 - 650 = 0. Determine w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*(m*m\/(m\/((m*(m**(-1\/5)*m)\/m)\/m))*m)\/m)))\/m**(9\/4))\/(m**(-4\/7)\/((m\/(m\/m**(-19)*m))\/m)) assuming m is positive.\nAnswer: m**(-2923\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26264 less than 1382.97?\nAnswer: -24881.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1*y\/y**(-1))\/(y**0)**(-17) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 + 4089*r**4\/4 - 84665*r**3\/2.\nAnswer: r**3*(r - 41)*(r + 4130)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 966, 955, 930, 885, 814, 711, 570?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 4, -52 in descending order.\nAnswer: 4, -52, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -14. Let y = 4 - z. What is the units digit of y\/2*8\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 b when four letters picked without replacement from {a: 2, b: 17}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4720131 (b) 1 (c) -2 (d) 5 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (350\/280)\/(1\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 92\/9 (b) -3.28 (c) 2 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*y - 35*y + 105*y as t + v*y and give v.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:38 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjjjvv. Give prob of picking 2 j and 1 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21661775 by -3.\nAnswer: -21661775\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxxx when four letters picked without replacement from xxxopxxxxxoxpoopxx?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10881 * -0.245.\nAnswer: 2665.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/44 and 131\/1379598.\nAnswer: 2759196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l - l)*(0 + 1 + 2)*(-1 - 3 + 5)*(1 - 1 + 2).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 + (-16591)\/18003)*(-195)\/(-130)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.13665 microseconds in days?\nAnswer: 0.000000005279359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 6}. What is prob of picking 2 e and 1 k?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 - -3) + (2 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -21. Suppose -4*i + 306 = 2*f, 151 = 3*i - 2*f - 61. Suppose u*o + 24 = 4*z - 290, z = -o + i. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b92 (base 14) to base 16.\nAnswer: 13a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) -2\/67797 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -216, -477, -830, -1317, -1980, -2861?\n\"Answer: -7*q**3 - 4*q**2 - 200*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*a + 3*y, -7*y + 2*y = 0. Calculate the remainder when 31 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:44 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78399122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 560.1 and 0.2?\nAnswer: 112.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -380.66 + -2.34. Let i = 382 + z. What is the biggest value in 2\/7, -0.4, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) -1137 (b) -6 (c) -0.05 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 9. Let t(a) = -3*a + 1. Let w(u) = u + 1. What is n*t(m) - w(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 12. Let k be p(10). Let a = -2 + 3. Solve 3*y - a = k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-21)*3\/(-4))\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.5. Let z = -4.8 + o. Which is the nearest to -1\/3? (a) -1 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:05 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322423?\nAnswer: 3, 83, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u - 2*b + 8, -u + 4*b - 16 = 0. Let m = u + -8. Suppose v = -7 - 1. Is v at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 4, q: 1, p: 5}. What is prob of sequence jlj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*y - 6364, 5*v = -5*y + 11909 + 19951. List the prime factors of v.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 2:10 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3554*b + 2 + 3 + 3553*b - 23*b**2 - 1.\nAnswer: -23*b**2 - b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/9)\/(-2))\/(144\/(-1728))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5 - 71*s**4 + 4233*s**3 + 41827*s**2 + 114320*s + 96300 = 0.\nAnswer: -107, -5, -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8653 (base 9) in base 2?\nAnswer: -1100011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1210626, -1210657, -1210688, -1210719, -1210750, -1210781?\nAnswer: -1210812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*u + 312*u + 59*u**2 - 620*u.\nAnswer: 59*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.79 and -0.63152.\nAnswer: 0.4989008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 1411 = 14011. Let h be 3\/(438\/p - (-2)\/(-15)). What is the greatest common factor of 896 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by ((-6)\/(-15))\/(22\/1045)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28210?\nAnswer: 2, 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 56 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -333*x - 1. Let v(n) = 2*n + 34827. What is v(w(y))?\nAnswer: -666*y + 34825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 4\/2749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10314 + -134243302?\nAnswer: -134232433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + p**3 + 0*p**3 + 4*p**2 + 3 - 2*p**2. Suppose -3*n = -i, -8*n = 2*i - 10*n + 4. Calculate v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -103, -101, -99, -97?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/18)\/(-1*3\/9). Is (21703\/(-33))\/(f\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83182 and 1386.644.\nAnswer: 84568.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (6 - (4 + 5) - -4 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q. Let y be k(-1). Let b(c) = -c**2 + c + 6. Give b(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1472 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -437*s**4\/4 - 419*s**2\/2 - 2396. Find the second derivative of i(k) wrt k.\nAnswer: -2622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 400 - 600. Let j = -14 - x. Let a = -185.99999881 + j. Round a to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0772 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2341*q - 2341*q + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 - 5. Let l(t) = -t**2 + 5*t + 4. Let s(r) = -2*r**2 + 4*r + 4. Let a(x) = 4*l(x) - 5*s(x). What is -6*a(w) + 5*p(w)?\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 13) + 8 + 489047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5400235 (base 7) to base 8\nAnswer: -2400355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 - 3*x. Let y be k(3). Suppose -v - 4 + 7 = 0. Suppose 2*t - 3*t = -v. Solve -l - y = -3*r, t*r - 3*l - 3 = -0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -1 + -2376 + 2345?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*-1*(2 + sqrt(80)*2 - (0 + 2*sqrt(80))))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2 - 712*q + 63368 = 0. What is q?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 257632970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52939, 211969, 477089, 848293, 1325575?\n\"Answer: -g**3 + 53051*g**2 - 116*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15355 - -15891. What is the highest common factor of b and 5494?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 952 and 595?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*p + 864, -3*p - 866 = -6*p - h. Let f = p - 224. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - p - 3 - 4*p + 2*p. Let r be x(-6). Let b = -5 + 8. Solve -c = -r*h + 10, -5*h + b = -17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0252 - 195.7748. Let g = -196 - y. What is the third smallest value in 3, -91, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -15. Let w be 7\/(-1)*p\/(-35). Put -3, w, -14 in increasing order.\nAnswer: -14, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37\/2, 2\/11, 13, 110?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 + (-32)\/(-6))*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 0*v**3 - 7*v**3 - 5*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 1. Let b(w) = 24*w + 1. Give -b(s) - 2*g(s).\nAnswer: -22*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g**3 + 21*g**3 + 23*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -277 and 0.109.\nAnswer: -30.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 - 17 = 0. Suppose 5*o + 86 = 2*f - 478, 3*o + 1410 = q*f. Suppose 144 + f = 6*a. What is the remainder when a is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-8)*6*-1*1. Calculate the remainder when 9 is divided by 5 - ((-2)\/c)\/((-2)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 != 144109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let f(a) = 252*a. Let g(l) be the third derivative of 5*l**4\/12 + 32*l**2. Let c(p) = -6*f(p) + 153*g(p). Give c(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 22583522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-102)\/85)\/((-2)\/5))\/(867\/(-34))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97707 - 97707 - 2*a + a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -78) + -80 - -19.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -322*v + 79. Let p be z(-7). Suppose 9*q - p = -335. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + v + 2*v + (-5 - 1 + 3)*(3*v + 8*v + 7*v).\nAnswer: -51*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434031161 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9792 and 91\/288?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26682?\nAnswer: 2, 3, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3119115, -6238132, -9357149, -12476166, -15595183, -18714200?\nAnswer: -21833217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4*w + 8. Suppose -4*s + 5*s + 6 = 0. What is j(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 914.2005ml?\nAnswer: 0.9142005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 0*i**2 + 6*i**2 + 0*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 32, -1, 39, 1 in increasing order.\nAnswer: -1, 1, 2, 3, 32, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1554\nAnswer: -1\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 277506686?\nAnswer: -3\/277506686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**3\/3 - b**2\/2 + 4. Let m(t) = -t. Let g(d) = -h(d) + m(d). Let x(f) = -7*f. Determine x(g(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 2*u + 9. Let f(z) = -3*z - 7. Let g be f(2). Is i(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8954353493 and 565.\nAnswer: 8954354058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 + 1386*g**2\/5 + 76071*g\/5 + 282044\/5.\nAnswer: -(g - 1439)*(g + 4)*(g + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*b - 713*b + 152*b = 2155 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*g - g**3 - 24*g + 2*g**2)*(44 - 78 + 63)*(2 + 4 - 3).\nAnswer: -87*g**3 + 174*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -147474067?\nAnswer: -147474067.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2*s**2 - 23*q**2 + 95*q*s**2 + 3*s wrt s.\nAnswer: -4*q**2 + 190*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 9*q - 7. Let d be v(-6). Suppose 3*b = -m + 17, -2*b - 2 = 2*m - 16. Solve -b*l - d = 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 17*a**2 - 44*a + 3. Let q be p(18). Let n = q + 515. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 683929*k**3 + 5*k**2 + 257205*k**3.\nAnswer: -426724*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnnb. What is prob of picking 1 n and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 3. Let u be d(7). Suppose -u*h = 3*a + h - 429, -3*a + 432 = 4*h. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*f + b + 68 = 376*f, -2*f + 37*b + 140 = 0 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-6\/7))\/l**(-1\/6))\/(l**(-6)\/l**(-9)) assuming l is positive.\nAnswer: l**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, m: 1, l: 2, k: 4, u: 1}. What is prob of sequence hkll?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2407, 9644, 21771, 38842, 60911, 88032, 120259?\nAnswer: 157646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 3*l + 3. Let b be x(-3). Suppose b - 3 = -11*k. Solve -4 = -2*r - 5*y + 10, k = y - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265090 is divided by 1319.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18974 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.91 - -37. Let u = -5.09 + n. Let l be -2 + (8 - 4)\/2. What is the smallest value in 0.4, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 0 + (-78 - -43) + (49 - 10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and -1\/12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -183685360 divided by -20\nAnswer: 9184268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - a - 6, -b + 4*a - 14 = a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**3*v**4 + 35*q**3 - q**2*v + 9*q**2 - 112*q*v**4 wrt v?\nAnswer: -48*q**3*v**2 - 1344*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Let h(u) = -5*u**3 + 3*u**2 - 4*u + 2. Let a(p) = -5*p + 31. Let w be a(6). Let j be h(w). Sort 3, j, 0, g in ascending order.\nAnswer: j, 0, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {x: 1, m: 1, e: 7, w: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -95490, -381988, -859494, -1528014, -2387554, -3438120?\n\"Answer: -v**3 - 95498*v**2 + 3*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 + 13*y + 4. Let g be (-3 - -2)*(1 + 5). Let w be i(g). Let t = w + -29. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 10*k**2 + 14*k + 10. Let v be p(8). Let w be (-78)\/(-65)*(-320)\/v. Let o = 84 - w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-82)\/104 + -1*3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16807366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 - 2148*t**2\/7 + 4380*t\/7 + 51696\/7.\nAnswer: -3*(t - 6)*(t + 4)*(t + 718)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkkkkkkkkkzkk. Give prob of sequence kkzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -23 + 5. Suppose 3*p = -2*t - x, t + 0*t = 0. Does 43 divide ((-1677)\/4)\/13*(-5 - p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 986 and 13949?\nAnswer: 474266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*z - 8*z**2 + 1 - 42*z + 17*z**2 as x*z**2 + u + w*z and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + m**3 + 7*m**3)*(-9 + 2 + 4 + 3*m**2).\nAnswer: 18*m**5 - 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + 150.3.\nAnswer: 51.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1056 divided by 528\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from bsbsbmbbbmsebeebssb.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqfsbfpffbbpqbbp. Give prob of sequence qpfs.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 12*l + 12. Let i be v(10). Let h(b) = b**2 + 2*b + 12. Let f be h(i). Suppose 2*a = 7*a - f. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 155949 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -412340553 - 253?\nAnswer: -412341250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 24 = -6*s. Let h(r) = 11*r**3 - 6*r**2 - 2*r - 5. Let j(g) = g**2 + 1. Let y(a) = s*j(a) - h(a). Give y(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**8\/11760 + d**7\/1960 + d**6\/840 + d**5\/840 - 13*d**3\/3 + 37. Let s(f) be the third derivative of o(f). Factor s(w).\nAnswer: w*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x + 3. Suppose -2*w = j - 20 - 16, 2*w = x*j + 60. Let k = 32 - w. What is the smallest common multiple of 10 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 585 - 585.2. Let y = -0.7 + -3.3. Which is the second biggest value? (a) -2 (b) 1\/7 (c) y (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -835 + 838. Sort -4, p, -10, -0.4 in ascending order.\nAnswer: -10, -4, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 10 + (-18 - (-15 + 19))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:34 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44215\/6 + 7369. Sort -12, 34\/7, c, -2\/11.\nAnswer: -12, -2\/11, c, 34\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1202002?\nAnswer: 1202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -37\/3, 8 in ascending order.\nAnswer: -37\/3, -4, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 42667 = -2*s + 42708, -3*m + 27 = 2*s for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -157*t**3 - 602*t - 345399?\nAnswer: -471*t**2 - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.83? (a) -0.4 (b) -5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*5\/2 + (-21 - -18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(96))\/sqrt(8))\/(sqrt(16)*-5).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200) + -2)**2 + 4.\nAnswer: -40*sqrt(2) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 4, -1\/11, -3.7, 10\/17?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 82998, 331751, 746340, 1326765?\n\"Answer: 82918*l**2 - l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = c - 8, 2 = -4*b + 3*c - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*l = -3*l - 19, 4*l = -5*n - 109. Let j be 16*-3*28\/n. Suppose -267 = -q + j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -243\/34 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 51?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -z + 37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240879048 to the power of 1\/3, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431 + 430.7. What is the second smallest value in -55, n, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h*h)**(-3\/43)*h*h*h**2*h*h*h\/h**20 assuming h is positive.\nAnswer: h**(-568\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 8:15 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 6*g - 3*g)*(2 - 33 + 16).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 154\/56 + 1\/4. Solve c + 10 = -4*g + 4, q*g = 2*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3391 + -2885. Calculate the highest common divisor of z and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13684 - 13687. Let i(f) = 5*f**2 - 2*f + 1. Let t be i(2). Sort t, g, 4 in decreasing order.\nAnswer: t, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3\/2, 63, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-33)*t)*t*t**(-24))\/(t**5)**4)**(-22) assuming t is positive.\nAnswer: t**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -19b20b?\nAnswer: 19b209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Let y be (-2 - 0) + 16 + -14. Solve m*q - 6 = 2*q + 5*z, y = -5*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3486, 7002, 10528, 14070, 17634, 21226, 24852, 28518?\nAnswer: 32230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*5\/50*-2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -4*c**2 - 5*c - 7. Is b(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 657*c + 546*c + 107*c to r*c + w and give w.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 54. Let z(m) = m + 12. Let p(r) = 4*h(r) + 18*z(r). Let a(f) = 1349*f. What is a(p(n))?\nAnswer: -2698*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*w**2 + 701*w**2 - 4*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 7) in base 16?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008007141 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 9*b**2 + 16*b - 13. Let k be z(7). Which is smaller: -2\/599 or k?\nAnswer: -2\/599","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2*(-8)\/(-12). Let b(y) = -y**3 + 6*y**2 - 4. Let c be b(5). Suppose -c = -f*q - 1. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.1, 1\/38, 155, -4, 2.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - (-1 + 951\/(3\/(-1)))?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:10 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -67, -87, -113, -145, -183?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 11) in base 4?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 870*x**4 + 27155*x**3 - 5160500*x**2 - 256464000*x - 3003040000 = 0. Calculate x.\nAnswer: -40, -20, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1024062 and 77\/10.\nAnswer: 5120310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 201117.593606 less than 2?\nAnswer: -201115.593606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821.292ml in litres?\nAnswer: 9.821292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/12 of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1602c79?\nAnswer: 1602c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3.7 (b) 0 (c) -0.1 (d) 2\/7 (e) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 0)*2\/4. Suppose v + 83 = -7*d + 12*d, -u*v = d - 10. Let o(i) = 3*i**2 + 1. Let z be o(-1). Solve -z*s - d = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*v, -5*q - 689*v = -686*v + 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 + 518436*h + 17629136 = 0. What is h?\nAnswer: -34, 259252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 2*c + 76. What is n(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/((-1200)\/(-45)))\/(18\/(-4))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 less than or equal to -254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from mgmimiiiigmiiiimgmg.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7634*w**3 + 199*w**2 + 4274542?\nAnswer: -22902*w**2 + 398*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/70)\/((-46)\/((-10626)\/(-99))).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i + 145. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 + 136*t**4 - 3170*t**3 + 27236*t**2 - 45496*t + 21296.\nAnswer: -2*(t - 22)**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -1. Let s be -2*(-2 - (6 - 1)). Is 3 a factor of 2\/3*(n + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/100 and -53\/174200.\nAnswer: 174200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/2025 and -169\/15723900.\nAnswer: 141515100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14719.2974 + -14721. Let n = c + 1.74. What is n rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -79.\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llwglgwllgwawwwlw?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 18*h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 - 309406020*c + 4786604260612020 = 0.\nAnswer: 30940602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a - 1 + 6 - 4. What is d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 146, 175, 238, 335?\n\"Answer: 17*p**2 - 22*p + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + 3*(4 + sqrt(17)) + sqrt(17))) + 3*(-3 + sqrt(17)))**2.\nAnswer: 42*sqrt(17) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48376999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.055, 18, -0.4, 53, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - z - 593 = -0*z, -2*u + 227 = 3*z. Suppose 8*r = 186 + u. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17277269 equal to 17277265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 8*r + 21 + 9*r.\nAnswer: 10*r + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -32. Let c = k + -8. Suppose 16 = -c*h + 41. Let b(u) = -u**2 + 3*u + 5. Determine b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 14) to base 10.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 + -6) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-18) - 7\/(-2). Suppose -d*b + 2 = -b. Sort 1\/4, 5, b in decreasing order.\nAnswer: 5, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-6) - 4)\/(4 + -8). Let o be -1 + (3 + -4)\/(-1). Which is the closest to -3? (a) o (b) 4\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12890, -4\/3, 2\/9, 7, -3, 2 in ascending order.\nAnswer: -3, -4\/3, 2\/9, 2, 7, 12890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4 + 170*o**2 + 39*o + 17286 with respect to o.\nAnswer: 4*o**3 + 340*o + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.825916 and -0.3.\nAnswer: -7.1477748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*b + 12404 = 1446*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19389466 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -47. What is the nearest to 19 in n, 3\/2, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c - 28. Determine f(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 2\/595 (c) 0.1 (d) 6 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13619.5677 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 677889?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 52204321 (base 6) to base 16\nAnswer: 170899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + d + 1 + (547 + 77*d - 547)*(3 + 3 - 4).\nAnswer: 155*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -2\/13 (c) -91700 (d) 0.4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6453\/2 + -3253. What is the second biggest value in 0.02, 1\/2, -0.2, c?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 6*y**2 + 2*y - 10. Let h be g(6). Suppose -272 = -h*v - 0*v. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(-39) - (-3 - (-179900)\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6 + 17. Let f = b - 11. What is the second biggest value in f, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5.7. Let t = 1.87 - -0.13. What is the third smallest value in 0.2, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649481258 a multiple of 3362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 14 = 4*x. Let t = 9 - x. Suppose 3*h - t = 13. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/39)\/(1 - 10\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.48229627 minus 167?\nAnswer: -141.51770373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -37*p + 32. Suppose p*g - 9 = -21, -5*a = g + 24. Suppose 0 = -0*f + f - 3. Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -593*d. Let q(j) = j**2 + 112*j + 9. Give q(r(t)).\nAnswer: 351649*t**2 - 66416*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 391.3 + -391. Let g(t) = t**2 + t + 3. Let r be g(0). Which is the second smallest value? (a) l (b) -5 (c) r (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/47 (b) 3 (c) 2\/3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10683 - 10635. Solve 37*v - 44 = h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 165.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 354 + -404. Is q < -148\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 350949, 350930, 350911, 350892, 350873?\n\"Answer: -19*i + 350968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 567, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 - k - 4. Let b(q) = -q**2 - 12*q + 10. Let w be b(-13). What is the remainder when 67 is divided by n(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 957 - (-1 + 2)\/(14 - 15). Let m = x - 364. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2. Let o(k) = -2*k**2 - 7*k. Let j(g) = -g**2 - 2*g. Let y(v) = -7*j(v) + 2*o(v). What is q(y(c))?\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 minutes after 10:06 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 3*r**3 + 7*r**3 + 0*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:33 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let z(a) = -a**3 + 4*a**2 - 2*a - 3. Let m be z(3). Suppose m = -7*w + 9*w + 8. Sort -1, l, w.\nAnswer: w, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 41 - (-20 - 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y + 9. Let n(h) = -13*h - 9. Determine -5*n(r) - 6*z(r).\nAnswer: -7*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**2\/2 + 4. Let c(f) = 14*f - 4. Let z(y) = -19*y + 5. Let o(a) = 4*c(a) + 3*z(a). Give -4*o(x) - 3*t(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 428164*d**3.\nAnswer: 2*d**3*(d - 214082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*j - 9, 2*j - 4*l - 1 = 11. Suppose -n + 0*g = 3*g - 7, 2*n - 5*g - 3 = j. Calculate the least common multiple of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -6\/11*s**2 - 2\/11*s + 3 - 6\/11*s**3. Let l(x) = 0. What is x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4453, -0.481, 2 in descending order.\nAnswer: 2, -0.481, -4453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10865 - -10862. Let h = -4.7 + 5. Let u = 0.14 + -0.15. Which is the second biggest value? (a) x (b) h (c) 0.5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 573354289 and 573354289 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - 0.16. Let y = -124.94 + 125. Is y >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-92\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 20629738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/2244?\nAnswer: -1\/2244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -58817214 - 1422\nAnswer: -58818636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 6*z + 1. Let i(y) = -2*y**2 + 11*y - 2. Let o(r) = -7*b(r) - 4*i(r). Determine n, given that o(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 200*n**2 - 4794*n + 10404.\nAnswer: -2*(n - 2)*(n + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/5 (b) 2\/13 (c) 0 (d) 28 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.4, 1.4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18415 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2 - 2. Let l(f) = -84*f**2 - 35. Calculate 35*i(j) - 2*l(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4746604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from nnnndndnddjnndddndn?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.4859 - 1.3649. Round c to one decimal place.\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/150 - 2*b**4\/15 - 4*b**3\/5 - 14*b**2. Factor z(v).\nAnswer: -2*(v + 2)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfj when three letters picked without replacement from {j: 2, o: 1, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 times -8?\nAnswer: -5.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Let c = -0.3 - 0.7. What is the nearest to c in 0, s, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100a8 + 5?\nAnswer: -100a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56387761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 18 = -0*y. What is the lowest common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (-3*(sqrt(117)*-2 - sqrt(117)) + sqrt(117)))*-4)\/(2*(sqrt(9) - sqrt(27)\/sqrt(3)) - sqrt(108)\/sqrt(3)).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 - 108.6. What is the biggest value in q, 0, 2\/105?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. What is the second derivative of 21*j**3 + 4*j - 5*j**5 + j - 21*j**c wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 48*s - 5. What are the prime factors of k(3)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 14 + 40 - 34*l - 16 to the form r*l + j and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 6*-1*sqrt(112))**2.\nAnswer: 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 5, -4\/3, -0.4, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 487271059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or -317\/4?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 178180 - 174195807?\nAnswer: -174017627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose 0 = 3*u - r - 11, 0*u + g*r = -u + 8. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 + -308. What is the second biggest value in 5, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -i + 19. Let x(z) = 2*z**3 - 11*z**2 + 12*z + 9. Let r be x(i). Let q be r\/(((-18)\/16)\/((-7500)\/8)). What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 217, 818, 1813, 3202, 4985?\n\"Answer: 197*b**2 + 10*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21846168 and 2518?\nAnswer: 2518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/408 + -611\/408. What is the closest to 0 in j, 3\/5, -2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 132, 297, 528?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877089 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 171 - -611d?\nAnswer: 628e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let r(l) = -l**3 - 5*l**2 + 2*l + 5. Let y be r(-5). Let x be g(y). Suppose 2*t**2 - 5 - x*t**4 - t**3 + t**5 + 5 + 2*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22375297.\nAnswer: 7, 23, 138977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4 = 0, q = -205*t + 209*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.95 + 0.05. Let p = w + -120. Let h = 68.000108 + p. What is h rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 - 2*p - 1. Let c(s) = -175*s**3 + 124*s**2 + 12*s + 6. Let o(x) = 6*b(x) + c(x). Find the third derivative of o(m) wrt m.\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -3134?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 3 = 22*g. Let z be g\/(-9)*39\/(-65). Which is the closest to 1\/6? (a) 0.4 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(13\/(-52))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115898\/2749 < 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -775 - -883. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 3)*(-h + h + 2*h) - 6 + 0*h + 2 - h.\nAnswer: -15*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2\/69 (c) 0.9 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -8. Let g = o - 148. Which is the closest to g? (a) 2\/15 (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(133)*2 + sqrt(133) + sqrt(133))*-3)\/(4*(sqrt(392)\/sqrt(7))\/sqrt(8)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = -10. Let f be o\/(1\/86*-2). Suppose -k = k - f. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30903*l**4 - 10*l + 19786170.\nAnswer: 123612*l**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -372734.956 to the nearest 1000.\nAnswer: -373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -450a9 (base 12) to base 6\nAnswer: -1544333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1343258081\/14045220 + -1\/2006460. Let b = r + 287\/3. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + -2 + (-25935)\/(-39).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-6) - -2)*10. Let b = c + 17. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9) - (-2)\/3. Find the third derivative of 2*a**6 - 8*a**2 + o*a**6 + 6*a**2 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 377781 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-6)*6\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 65. Let f be c*(-1 - 0 - -1). Suppose f = -0*n + 6*n - n. Solve -5*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(1323))**2 - (5*-2*sqrt(27) + -3)) + -4.\nAnswer: 156*sqrt(3) + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 220\/243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*x - 2*m - 919, x + m - 185 = 0. What is the remainder when 546 is divided by x?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3586*m**2 + 3853*m + 4. Let c(g) = 3583*g**2 - 3853*g - 3. Let h(v) = 4*c(v) + 3*d(v). What is the second derivative of h(r) wrt r?\nAnswer: 7148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-6)\/63 - (-1600)\/14 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 555*i**2 - 540*i - 1100.\nAnswer: -5*(i - 110)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3414\/5 + -687. Which is greater: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(12\/8)*2. Suppose 0 = a + t - 2, 7*a = z*a - t + 10. Find the second derivative of 40*v + v**4 - 12*v**4 + 7*v - 33*v**a wrt v.\nAnswer: -528*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6599, -6662, -6725, -6788, -6851, -6914?\nAnswer: -6977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and 13\/1238.\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0712149137 to three decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:11 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-399)\/17290)\/((39\/(-2))\/(-3)). Let u = d - -9352\/16055. Is 2 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-2)*(-2 - -3). Let b = 2 + -1. Let w = b + -7. Is n less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-10)\/4)*44\/(-198). Suppose -4*r + 4*p - 28 = 0, r - 6*r = 2*p. Let n be r\/(-3) - 10\/6. Which is the nearest to d? (a) n (b) -0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 + 5*u - 4. Let r be q(0). Suppose -3*w + 16 = 5*x - 2, -w - 34 = -r*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 87 + 32)*(3*t**3 + t**3 - 6*t**3)*(1 - 7 + 0).\nAnswer: 1596*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 - 9147*q**3 + 2*q**2 - 721280014*q.\nAnswer: -20*q**3 - 54882*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**6\/660 + 17*t**5\/330 - t**4\/132 - 17*t**3\/33 + 8*t**2 - 1. Factor v(m).\nAnswer: 2*(m - 1)*(m + 1)*(m + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -97, -0.29, 4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.67 + -60. Let g = q + 0.43. Which is smaller: 2.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)*-2 + 2*sqrt(66)*-2)*5)\/(-2*sqrt(6)*-6 - (sqrt(648) + sqrt(18))\/sqrt(3)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4610 and -59\/20.\nAnswer: 9220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28348 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/44639 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbllblbbbbblbl. Give prob of picking 2 l and 1 b.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -0.0491?\nAnswer: -0.000491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.1753 litres in millilitres?\nAnswer: 551175.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 + 5*l**5 - 3*l**5 + (-l**3 + 4 - 4)*(21707 - 21707 - 45*l**2).\nAnswer: 43*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4\/5, -1.2, -6.3, 14?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*m + 50, 5288*j - 8 = 2*m + 5284*j for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 1 + 1)*(0 + 4 - 3) + (-2*y + 2*y + 2*y)*(2 + 0 - 4) - 3*y + 2*y + 3*y - y + 15*y + 4*y as d*y + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12275930 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in decades?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -590602?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/170*(-30)\/8. Let n be 2\/(-6) + 7\/12. Suppose -7 = -f - 2. Which is the nearest to n? (a) f (b) -3\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -12. What is the derivative of -3 + p*v - 5*v + 4 + 3 wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-12) - (-3)\/(-6). Let r = 4 + -3.7. Let z = r + -0.6. Which is the second smallest value? (a) x (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let a(q) be the third derivative of 11*q**4\/24 - 2*q**2 + 3*q. What is v(a(u))?\nAnswer: -242*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s + 14. Let q be o(1). Solve 3*l - q = 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + (sqrt(612) + 0)*-5)**2.\nAnswer: 60*sqrt(17) + 15297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6) - (0 - (-4 + (-637355)\/(-15))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 60*k**2 + 600*k + 101. What is x(47)?\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-20) - (-217)\/(-70). Let u(r) = -r**2 - 3*r - 3. Let v be u(2). Let a = v + 13. Sort -4, 5, y, a in decreasing order.\nAnswer: 5, a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1. Let i(u) = u - 9. Let m(z) = -i(z) + v(z). Let j be m(8). What is the second derivative of j*s**4 - 4 + 4 - 2*s wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100975.\nAnswer: 5, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-101880)\/(-110) + (-4)\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135\/8 - (-9)\/72 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1\/2, -2\/5, 1\/8.\nAnswer: -1\/2, -2\/5, 1\/8, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.133 + 3.137. Let y = -2.00394755 + s. What is y rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 227*b + 34*b + 684 + 65*b + 100*b**2 + 4*b**3 + 158*b + 8*b = 0?\nAnswer: -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*46\/230.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -731*o**2 - 2*o + 4. Let n(f) = -f**2 + f - 2. What is k(j) + 2*n(j)?\nAnswer: -733*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 515 + -455. What is the remainder when (1080\/(-50))\/((-1)\/c*2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 4*k**2 + 30 + 6*k**3 - 18*k + 13*k**2.\nAnswer: 6*k**3 + 17*k**2 - 18*k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 95. Let u(m) = -m**2 + 4*m + 26. Let c be u(h). Solve -t + 12 = 3*a - 2*t, 5*t + 10 = c*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*v - 61 = 5*v, 2*v - 15 = -l. Solve 18*g + 1 = l*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -638615?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -15. Let x be 0*d\/3 + 12\/24. Which is the nearest to 1\/3? (a) -4 (b) -1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 10) + (3 + -2 - 3) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + y + 1088 = 0, -5*c = -3*y + 796 + 547. Let b = c - -5689\/21. Let t = 17 - 18. Which is bigger: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.55 - 14. Let o = -10433201.5499953 - -10433202. Let k = o + c. What is k rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.829812 nanograms in kilograms?\nAnswer: 0.000000000003829812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7826\/16441 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39902 or 39906?\nAnswer: 39902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.1 + 39.53. Sort g, 0.3, -1 in descending order.\nAnswer: g, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -534666960 divided by 180\nAnswer: -2970372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**4\/24 + 2*r**2 - 2322*r. Let i = 23 + -13. Let l = -5 + i. Give d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 375785, 751563, 1127339, 1503113?\n\"Answer: -u**2 + 375781*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62475.21 litres?\nAnswer: 62475210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + 536. Let w = 582.9697 - q. Let l = 0.0534 + w. Round l to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzjni. What is prob of sequence zn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 2*d, 3*k + d = k + 15. Suppose 7*m = k*m - 4*f - 10, -4*m + 2*f = -2. Let b(o) = o**2 + o + 1. Calculate b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 77\/20*f**5 + 0*f**4 + 0 + 0*f**3 + 5\/2*f**2 - 32*f. Differentiate y(d) wrt d.\nAnswer: 231*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 14*n - 9. Let o be (-2)\/(-9) + 79\/9. Is s(o) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 34*q**3\/3 - 11*q**2 + 19*q + 98. Is b(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1801*q**2. Let b(f) = -3*f**2 - 4*f**2 + 0*f**2 + f**2 + f**2. Give g(b(o)).\nAnswer: 45025*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 4 = 2*f - 2*v, 0 = 2*f + 3*v + 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (2 - (-350)\/42).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Let u be (-1)\/((-2)\/2 + p). Let j(x) = -11637 - 11638 - x + 23269. Let o(k) = 1. Give u*j(d) - 5*o(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67126526 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2395 (b) -20 (c) -3 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5 - 18*j**4 + 147*j**3 - 210*j**2 - 108*j + 264.\nAnswer: -3*(j - 2)**3*(j + 1)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 88*p**3 + 5*p**2 + 8*p - 13. Determine f(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let j(d) = -1248568*d - 1. Determine j(i(h)).\nAnswer: -1248568*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1733, -3, 3 in descending order.\nAnswer: 1733, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 - 3*i**3 + 4*i**3 + (0*i**2 + 2*i**2 - 5*i**2)*(i + 0*i - 4*i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -102 + 103. Let f be -5 + 5 + 5 - a. Suppose 3*o + f*x = 5889, -5*o - 4*x + 3646 = -6161. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 90608.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 7. Suppose 3*k - 36 = 4*w, 9 = w - 2*w + 5*k. Let f be a(w). Let p be ((-1 - -1)\/f)\/(-2). Solve 2*i - 3*i + 4*n + 16 = p, 20 = -4*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7442 divided by -2348\nAnswer: -3721\/1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2518*r - 140. Is q(2) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -43*f + 67. Let r be z(13). Let m = r - -1122. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -273*m - 868. Let u be o(-13). Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lap when three letters picked without replacement from {s: 1, i: 1, a: 2, p: 3, l: 3, u: 7}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4544 - -36?\nAnswer: 4613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Suppose -3*i + 2*i + 5 = -3*n, -v*n = -i + 5. What is the units digit of n + (-2 - -2) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 12*g - 2 - 6*g. Let a be o(2). Suppose 3*l**2 + 2*l**2 - 4*l**a - 2*l = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86274 + 86273.60567. What is h rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 - 3*q - 2. Calculate the remainder when j(4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/f)\/(f\/f**(1\/5))*(f**0)**(-18) assuming f is positive.\nAnswer: f**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*o + 56 = -869*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129933565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26564402103 - 0.4.\nAnswer: -26564402103.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 + -239. What is the closest to -2\/7 in -4, j, 5, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183.48 - -187. Let u = i + -1.52. Let q = -4.1 + 0.1. Put 3, q, u in ascending order.\nAnswer: q, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -22. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2*y + 8)*(-2*y - 2*y + 3*y).\nAnswer: -2*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from xxurlux.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96135361.\nAnswer: 7, 37, 371179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(176) - (sqrt(176) + -3 + -1)) + (1*(-3 + 0 + sqrt(176) + -4))**2.\nAnswer: -84*sqrt(11) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35250 is divided by 477?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -3*b - 3*f + 539, -4*b + 1023 = f. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2915151, 5830414, 8745677?\nAnswer: 11660940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 7, -1, 4.\nAnswer: -38, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012061596 rounded to 5 decimal places?\nAnswer: -0.01206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1667672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from muuumusmssumoos?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2066 - 2039. Calculate the smallest common multiple of 345 and i.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-9 + 3 + 18))\/((-12)\/2654922) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.41 - 2\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3974, -7944, -11910, -15872, -19830?\n\"Answer: 2*i**2 - 3976*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -923171.\nAnswer: 2\/923171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/4 - d**4 - d**3\/2 + d**2 + 3*d\/4 = 0 for d.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and 30898.\nAnswer: -1019634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, x: 2, l: 2, s: 3, e: 2, f: 2}. What is prob of picking 1 x, 1 f, and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -2\/29, -42, 0.4, 3\/2.\nAnswer: -42, -2\/29, 0.4, 3\/2, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.1545 rounded to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - -17. Calculate the remainder when j is divided by (-3 - -1)\/((-10)\/55).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -38 - (-56 + 56).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720257459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 880 - -16. What is the greatest common divisor of 56 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/113, 0.1, 4, -16, -1\/3, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 103. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from etteetutueerutwte?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:40 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y**2 - 364*y + 364*y - 4*y**2.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182448.0215 + -182408. Let y = m + 0.0785. Let l = y - 40. What is the nearest to l in -1\/3, 0.4, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 85, 320, 775, 1522, 2633, 4180, 6235?\nAnswer: 8870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167 + -673467156646.\nAnswer: -673467156479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.3 + -22.2. Which is smaller: b or -75\/2?\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-3 - 0) + 1). Let n be (k + 9)\/((-1)\/(-1)). Is n\/(-2)*(-7 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9 - 7.90000058. Round d to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*(-8)\/(-270) - (-7)\/35. Is p bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 101*z. Let m(r) = -1807*r**2 + 14 - 14 + 1809*r**2. Calculate c(m(l)).\nAnswer: 202*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 4:38 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3173022523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 9667920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i**(-3\/22)*i*i))\/i*i*i)\/(i\/(i\/(i\/i**(-28\/3)))))\/(i**(-46)\/i**(-1\/6)) assuming i is positive.\nAnswer: i**(370\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 11*u - 18. Let m be s(-9). Let t = 7\/193 + -649\/1930. Are t and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 60, 91, 124, 159, 196, 235?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*x - 258*x = 252*x - 16, 165*x = 3*k - 648 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.12 + -0.12. Let n = 28824.3 - 28824. Sort j, -77, -1, n in descending order.\nAnswer: j, n, -1, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 16*b**2 + b - 4. Let a be x(-3). Let g be (-224)\/3 + 8\/((-24)\/(-5)). Let c = a + g. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.05 + -29.55. Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*u**2 + 86*u**2 - 26*u**2 + 4 - 4.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*k - 3 - 106*k + 3.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57\/35 + -1\/5. Sort u, 5, -3, 0.5 in increasing order.\nAnswer: -3, 0.5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2*x + 10*x)*(425 - 1 + 98 - 46) to the form o + s*x and give s.\nAnswer: 4760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 4) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25699803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-81)\/36*(-8)\/6. Solve -r*t - 18*q + 17*q + 16 = 0, 20 = 3*t + 2*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than -120870201446150?\nAnswer: -120870201446150.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (24 + -30 - 24).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(48\/20)*1488\/248?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 7:22 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -66*s + 2150. Let o be z(51). Is o less than or equal to -7295\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -13*q**4\/24 - q**3 - 2*q**2. Is y(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 1\/60*h**5 - 1\/6*h**4 + 5\/6*h**3 - h**2 + 0 + 0*h. Is s(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, -96131, 12, -1 in ascending order.\nAnswer: -96131, -5, -2, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 4946?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63952 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (157976\/(-140) - -22)*10\/(-4).\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k - 8*k - 8*k + 4*k. Let c(b) = -b. Let i(t) = -6*c(t) + n(t). Let m(g) = g + 5*g + 0*g. Calculate i(m(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -385262, -770526, -1155790?\n\"Answer: -385264*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 685417 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) -0.4 (c) 37117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1551 (base 8) to base 5.\nAnswer: 11443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + 6*(5 + sqrt(2448)*-2 + 3)*2))**2.\nAnswer: -921600*sqrt(17) + 22720768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2140*m. Let p(f) = -2*f**2. Give p(a(t)).\nAnswer: -9159200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 3 = 2*x - 10*d, 4*x + 5*d = -41 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 749443 - 749443. Let j = 5.02 - 0.02. What is the closest to 2 in -2\/5, j, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 95 = 365. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -13. Let d be t + 0\/(-4) + 1. Solve -5*m + g = 3, d*m + g = -4*g + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.4 and 12949.\nAnswer: 12947.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3078 and 228.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 26745*l.\nAnswer: 5*l*(l + 5349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Find the common denominator of 3 + -101*i\/36 and 67\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 1, e: 1, r: 1, f: 1, a: 2}. What is prob of sequence gfe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 181, -1, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4464\/912 - 5) + (192\/1634)\/2?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -902 + 919. Solve t = 4*b + 17, -j = t + 2*b - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 2*l + 4*l - 86 + 248, l + 34 + 14 = 5*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5666298 is divided by 554?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -3344.27 = -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -10.98. Let r = -0.08 + z. Let y(b) = b**2 + 5*b - 9. Let l be y(-7). What is the nearest to 1\/3 in r, -0.3, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 + 144*x - 110*x.\nAnswer: 34*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -226*s - 305. What is q(-3)?\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38227149 is divided by 816.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1039 from -6212935.\nAnswer: -6212934.8961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 19, -0.5, 2\/3, -0.09, 10\/13, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -15*j + 26. What is g(-8)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146484*f**3 + 127283*f**2 wrt f?\nAnswer: 878904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*x - 12 = 0, 9 - 42 = 4*n + 5*x. Let z(a) = a**2 + 4. Determine z(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -64*s**3 - 7*s**2 - 16*s - 40. What is the hundreds digit of p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.807857*-1.05.\nAnswer: 0.84824985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 26. Calculate j(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 0.9. Is a > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 56, 82, 118, 164?\n\"Answer: 5*b**2 + b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {b: 2, t: 2, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n**2 + 2*n + 372. Let y(x) = -19*x**2 + 2*x + 374. Determine -3*t(p) + 2*y(p).\nAnswer: -2*p**2 - 2*p - 368","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -223*g + 213*g + 2674010. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954556*t + 501539*t + 1004037*t - 657600*t.\nAnswer: 1802532*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120460824 a multiple of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -305799*t**4 - 28*t**2 - 27*t - 261316 wrt t?\nAnswer: -3669588*t**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/5733 and -101\/1092.\nAnswer: 22932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1969 divided by 1?\nAnswer: -1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q + 2. Let h be (-134)\/(-26) - (-4)\/(-26). Suppose -35 = -h*g - 5*j - 5, q*g = 5*j - 9. Solve -u + 5 = g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + y**2 - 4*y**2 - 263*y + 4 + y**2 to the form r + h*y + g*y**2 and give h.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 4*j - 6*j + (-4 + 2 + 1)*(1 - 1 - 2*j) + 0*j - j + 0*j)*(5*j**2 - 11*j**2 - 6*j**2) in the form h*j**3 + z*j + c + g*j**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684 = 5*o - 4*y, -5*o = y + 2*y - 712. Let g = o - 16. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - 64787a?\nAnswer: -647896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 7*v - 3. Let p(i) = 6*i**2 + 7*i - 4. Let q = 11333 + -11337. Give q*g(z) + 3*p(z).\nAnswer: -2*z**2 - 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44641, -44671, -44755, -44917, -45181, -45571, -46111?\n\"Answer: -4*j**3 - 3*j**2 + 7*j - 44641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*c = 62*c - 59472. What is the lowest common multiple of 60 and c?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -w. Calculate the lowest common multiple of 27 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1009 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40\/53573 or 0?\nAnswer: 40\/53573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v**3 + 2*v**3 - 3*v**3)*(-7*v + 3*v + 6*v + (6 - 1 - 3)*(-5*v + 0*v + 3*v) - 98 + 98 + 17*v).\nAnswer: 120*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:06 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = -2. Let x(b) = -3*b - 8*b + 7*b. Is 8 a factor of x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, -5, 3, -19 in descending order.\nAnswer: 145, 3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1380*f**3 - 553 + 553 - 868*f**3 + 1062*f**3.\nAnswer: 1574*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -2.12. Is j at least as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122456148*v + 292760671.\nAnswer: 122456148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(275)) - (sqrt(275) + -2 + (sqrt(275) - (sqrt(275) + 0)) - sqrt(275)) - (sqrt(275) - (sqrt(275)*3 + -4) - (3 + sqrt(275) + -1)))**2*-6.\nAnswer: -15066 - 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3487?\nAnswer: 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 8, -5*i - 2*p = -7*p - 45. Let y = -3 + i. Calculate the remainder when 10 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 56*q**3 + 268*q**2 + 352*q + 144.\nAnswer: -4*(q - 18)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(0*z**2 + 0*z**2 + 2*z**2) - 7*z + 7*z - 3*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1456 = 5*a, a - 296 = 92*n - 90*n. Calculate the smallest common multiple of a and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*4*sqrt(136))\/sqrt(8))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -18 + 2 - (38 - 40)) + 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1251\/7 + -179. Which is the fourth biggest value? (a) -1\/4 (b) 2 (c) -0.4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3328 - 2487. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.627 - 0.017. Let q = -0.09 + h. Let k = q - 5.52. What is the second smallest value in -3, 1\/2, k, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/180616536 and -11\/2392272.\nAnswer: 361233072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/14393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, 3297.\nAnswer: -3, 14, 3297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085653116?\nAnswer: 2, 71, 2081, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/635*-33*(-105)\/2772.\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2453449857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 45 - 3. Let q = 30 + g. What is the remainder when 31 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333, 10915, -5.\nAnswer: -333, -5, 10915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/11 (c) 944 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-130))\/((-30)\/25).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*p - 340 = -51*p - 43*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 1. Let c be -9 - -12 - (-2 + 2). Suppose c*o = -2*o - 5. What is i(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1458 + 10?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3235, -12882, -28953, -51448?\nAnswer: -80367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36126846 divided by -6.\nAnswer: 6021141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 12*f**2 - 25*f - 33. Let k be w(-10). Suppose 4*g - o - 185 = 0, -4*g + 17 = 5*o - 162. Let r = g - k. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/105600 and -129\/2200.\nAnswer: 105600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/95304 and -79\/152?\nAnswer: 95304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2. Let w(l) = 6328663*l**2. Calculate g(w(m)).\nAnswer: -40051975367569*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180955.\nAnswer: 5, 36191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 - -4) - (12 - (-9 - -11)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 17, 1\/23898, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.33 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13622\/(-1323))\/139)\/((20\/6)\/(-2)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {x: 2, c: 3, n: 1, p: 3, z: 3, h: 1}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*j**2 + 34*j**2 + 157*j**2 - 7820 + 3927 + 3893.\nAnswer: 500*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-14798)\/21) + (-8)\/(-6). Let c = -703 + u. Solve 3*m + 4*t = 3*t + 16, c*m + t = 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17306, 35090, 52868, 70640, 88406?\n\"Answer: -3*q**2 + 17793*q - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:24 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 48*v + 153. Let u be x(3). Let a(t) = -t**2 - 13*t - 32. Determine a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 - z - 4. Let u = -16 - -9. Give h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210144?\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1088*i**2 + 233*i - 17. Let r(n) = 2175*n**2 - 465*n + 33. Let z = 14 - 22. Let x = z - -13. Let d(g) = x*r(g) + 9*h(g). Factor d(l).\nAnswer: 3*(19*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35616 + -1317?\nAnswer: 34277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 350 = -40*d + b - 4*b, 656*d - 661*d = -2*b + 28 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14856120?\nAnswer: 2, 3, 5, 29, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 537.97 or -0.19?\nAnswer: 537.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, -141, 0, -142 in descending order.\nAnswer: 5, 3, 0, -4, -141, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rriirrizrzir. Give prob of sequence zr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44*(1 + 156\/16). Let a = g - 328. List the prime factors of a.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 3327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17401, 34769, 52135, 69499, 86861?\nAnswer: 104221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5\/7 - 367230*w**4\/7 + 5507919*w**3\/7 - 17624688*w**2\/7 - 3357120*w = 0. Calculate w.\nAnswer: -1, 0, 8, 122395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613457860?\nAnswer: 2, 5, 30672893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -562 + 601. Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -17*k**4 + 4*k**3 + 4*k**2 + 284. Let f(j) = -18*j**4 + 5*j**3 + 5*j**2 + 284. Let a(c) = 4*f(c) - 5*w(c). Differentiate a(s) with respect to s.\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(1008).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/515)\/(31 - -3). Let b = r - -656617\/35020. Calculate the common denominator of b and 2\/5*98\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 1. Let y be w(-2). Let p(o) = 3*o + 4. Let d be p(-4). Let k be (y + 1)\/((-16)\/d). Put 1, -5, k in decreasing order.\nAnswer: 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 + 3*h - 1. Let g(m) = 6*m + 0*m - 10*m**2 + 0 + 3*m - 3. Give -2*g(l) + 7*r(l).\nAnswer: -l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = h. Let m = -6 - h. What is the common denominator of 77\/m - 2 - 1 and 53\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17615 - -17583.228. Let i = 0.014 - 32.014. Let m = x - i. What is m rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 + k**5\/10 - k**4\/3 - 17*k**3\/6 + 50*k**2. Let i be d(-6). Is i greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 38*w = -36*w - 4, 3*w = 2*v + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2783*o - 1. Let r be a(1). Let j(k) = -k**3 + 31*k**2 - 44*k - 135. Let p be j(30). Let v = r - p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**35*k**(-3\/7)*(k\/k**2)**(-2\/65))**(-2\/11) assuming k is positive.\nAnswer: k**(-32398\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y + 1749467 - 1749467.\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23891 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let b(r) = 3502*r**2. What is b(v(n))?\nAnswer: 14008*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -5, -6\/253, -194?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1617 + -423.\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157 - 403 - 278 + 0 - 2 + 4 + 2 - 5 + 1 - 3 + 2 + 2 + (0 - 2 + 0)*(-1 + 3 + 0) - 1 - 1 + 0 - 3 - 1 + 3 + 1 + 0 - 2)*(3 - 4*v - 3).\nAnswer: 3380*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v**2 - 9. Let b(w) = -4*w. Calculate c(b(r)).\nAnswer: -128*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-6))\/(6\/(-88)). Calculate the greatest common factor of m and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 483 + 737. Calculate the remainder when f is divided by ((6\/(-16))\/((-113)\/3164))\/(51\/42 - 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Suppose 7*q = 7*q + q. Let y(f) be the third derivative of 0*f**3 + 1\/12*f**4 + q - f**2 + 0*f. Calculate y(m(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1699.\nAnswer: 0, 1, 1699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 22415120*g - 291395715.\nAnswer: -5*(g + 13)*(g + 4483011)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = 0, 4*s - h - 80 = 3*h. Suppose -4*d + 38 - s = 0. Let n = 3 + -8. Which is the second smallest value? (a) d (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.575 + 0.475. Which is the closest to y? (a) -0.3 (b) -0.5 (c) 0.2 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + -7 + 8 - (13 + 5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -8. Let n = f - 8.6. Put 2\/13, 1\/4, n in descending order.\nAnswer: n, 1\/4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 g when four letters picked without replacement from {y: 7, s: 3, g: 5, h: 4}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 593*j - 5*j**2 - 1134*j + 696*j as u + b*j + c*j**2 and give b.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20314 - 1033124?\nAnswer: -1103443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*c - 964 + 187 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*h + 7 = 0, 8 + 2 = 2*h. Let d be 9\/2 - v\/(-2). Suppose -3*g + d*g = 3. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = 3*r, 2*r + n + 2 = 4*r. Suppose q - 5*q - 10 = -5*x, 0 = 2*x + 2*q - 22. Let a = x + r. Solve 0 = a*s + 4*m - m - 14, 5*s = -2*m + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*a + 112*a - 25600. Calculate the greatest common divisor of a and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w. Suppose -122 + 125 = m. Let d(l) = -l**3 - 3*l**2 + 8*l. Calculate m*t(g) - d(g).\nAnswer: g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -357394 * 5\nAnswer: -1786970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(35) - (sqrt(35) - sqrt(140)\/sqrt(4))) + sqrt(35)*4*-5)\/(sqrt(35)\/sqrt(5)*6*-2*1).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-4)) - 40\/25.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2811, -10413, -23083, -40821, -63627, -91501?\nAnswer: -124443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*w**4 + 154*d*w**2 + 73*d*w - 127*d + 5*w**4 wrt w.\nAnswer: -24*d*w**2 + 308*d + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.046 and -858769260582.\nAnswer: -858769260582.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385058 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/113360 and -33\/3824?\nAnswer: 27093040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7008076?\nAnswer: 2, 47, 37277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 0)*(-f**2 - 3 + 3) + 9*f - 3*f - f**2 - 3 + 1 in the form o*f**2 + w + m*f and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22569 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: Solve -19*h + 675 = -2*n + 818, -4*n + h = -27 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6169*c + 430670 = -38174 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -582.074 * 91.\nAnswer: -52968.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 919*d**2 - 5*d + 5. Suppose 0*z + k - 10 = -3*z, 4*z = -2*k + 14. Let j be m(z). Suppose j = 3*u + 3062. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - 0 - ((-3 - (11 + -46)) + -19).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18*k = 20280. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f = 51*f + 70. Suppose -5*a + 49 = f. What is the smallest common multiple of 0\/(-2) + -1 + 4 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15827000 to the nearest 100000.\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10999 - 8404 + 21103 + 18449 - 8894 - 2*m.\nAnswer: -2*m + 33253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3586 and 28358.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - -2) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - 11221111?\nAnswer: -11220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42101112 and 7?\nAnswer: -294707784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 5*l + 315 = 0. Which is smaller: -36 or l?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16358650 to the nearest integer?\nAnswer: 4045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5777.\nAnswer: 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 0*j + 0*j)*(-4 - j + 4)*(1 + 0 + 1).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 7, s: 6}. What is prob of picking 1 s and 1 g?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9739.4310343673 - 0.4?\nAnswer: -9739.8310343673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-476)\/(-816))\/((-12)\/72)*-2*(-4)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 49531?\nAnswer: 49524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 13. What is the biggest value in g, 0.1, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -793828?\nAnswer: 793823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -2, 30, 1.\nAnswer: -2, 1, 30, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(-695*q + 10*q**2 + 695*q)*(-6 - 6 + 3).\nAnswer: -90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*u + 71995 = 0, g - u = -3*g + 144001. What is g rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:54 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**4\/8 - 25*m**3\/3 - 301*m**2\/4 + 6369. Let v(r) = 0. What is r?\nAnswer: -43, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2629\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1906*q + 65 - 3710*q - 65 to f*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(68)\/sqrt(4) + 3 + sqrt(136)\/(-1*sqrt(8)))**2*-6 + -1).\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 2.8. Let l = -3.1 - w. Let k = -0.05 - -5.05. What is the biggest value in 2, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -138*l**2 - 142*l**2 + 277*l**2. Let q(k) = -k**2 - 2*k. Let a(n) = 2*n**2 + 7*n. Let f(z) = 4*a(z) + 14*q(z). Give f(r(t)).\nAnswer: -54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 + -0.31. Let g = z - -0.22. Which is the second smallest value? (a) 2 (b) g (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2. Let t(y) = -25*y**2. Give g(t(z)).\nAnswer: -3125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = p, 2*u - 24 = 10*p - 6*p. Let x be (1\/(-8))\/((-4)\/24392). Let n = 767 - x. Is u bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**3\/6 + 624*w + 2. Let k(h) = -5*h - 131. What is k(n(v))?\nAnswer: -5*v - 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14032257\/9877 - 826\/1411. Let l(o) = o**3 - 22*o**2 - 8*o + 16. Let b be l(18). Let h = c - b. What is the common denominator of h and 11\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 112 = -g, 3*k + k + 5*g + 210 = 0. Let h = k - -70. Suppose 4*t - 143 = 277. Calculate the greatest common factor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*i**2 + 3367*f**2*i - f**2 + 14839*i**2 wrt i.\nAnswer: -2*f**2 + 29678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 251. Is 40 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 539*f + 123431. Give b(-229).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91170 + 91176. Suppose -3*m + 5*m = 0. Suppose m = -g + 2*g - 5. Solve 8*k - w = g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 9 + 1 = 0. Let h be (-3 + 3 + l)*(0 + 0). Suppose -4*r + 5*i = -19, 1 + h = i. Solve 4*m = m - r, 3*o - m = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 223849 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefefefeueffeueeeee. Give prob of picking 3 f and 1 u.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -19*a + 765. Suppose a = 3*q + 17. Calculate the remainder when 30 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 59490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 20, -3, 2\/5, 4, 1\/7, -0.17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-12)\/(-6)*1\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose -q*j + 19 = 5*m, 2*j = 3*m + 2 - 7. Suppose -2*i = 4*n - j, 3*i + 2*i + 6 = n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvlgvmxlgggg. What is prob of sequence gxvg?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6637, 6640, 6637, 6622, 6589?\n\"Answer: -f**3 + 3*f**2 + f + 6634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-108)\/16)*(-9)\/(-30).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(8)*-1)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000418253615 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*h*n**3 - 4*h*n**2 + 4*h + 119 with respect to n.\nAnswer: -72*h*n**2 - 8*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h + 8*h + 6 + 12*h)*(2 + 7 - 6 - 2*h).\nAnswer: -14*h**2 + 9*h + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*(-2)\/2)\/(-11). Let l = 16 + -18. Which is the closest to 1\/3? (a) l (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27712, -108056, -241958, -429412, -670412?\n\"Answer: i**3 - 26785*i**2 + 4*i - 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 1. Let d = c - 5.9. Let j = 1.5 + -1.7. What is the second biggest value in 3, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5 + 1. Let j(h) = 3 - 4*h - 2*h + 2*h**3 - 11*h**m - 3*h**3 - 4*h. Let k be j(-10). Let z(v) = -v**3 + 2*v**2 + 3*v + 2. Determine z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1132*d + 6408 + 24156 = 0 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2734, 2737, 2736, 2725, 2698?\nAnswer: 2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-4) - (8 + -5))*62. Differentiate -m*u**4 + 24*u**4 + 0 + 6 with respect to u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 1, x: 1, q: 1, v: 1}. Give prob of picking 1 z, 1 v, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/17 (b) 5 (c) -140 (d) -9 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 112588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 4*b**2 + 7*b - 12. Let a(z) = -z**3 - 5*z**2 - 7*z + 11. Let r(j) = 5*a(j) + 4*d(j). Let i be r(-8). Which is smaller: 1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1179 + 267?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + -6*(1 + sqrt(1100))))**2 - (sqrt(88)\/sqrt(2)*-3 - (4 + -1*sqrt(99))**2).\nAnswer: 4302*sqrt(11) + 1425751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -341, -451, -569, -695?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64089595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59732237 to the nearest integer?\nAnswer: 7729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 11, 30, 8, -22 in decreasing order.\nAnswer: 30, 11, 8, 5, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a**(-6)*a))**(-5\/6))**14)**15 assuming a is positive.\nAnswer: a**(-1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111 + -100?\nAnswer: -11111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from eodfbsd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15350089?\nAnswer: 59, 260171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klfjzktjkkjkt. What is prob of sequence jj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00238255 to 5 dps.\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -261226296 >= -261226296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24417463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-309)\/309)\/(3\/(-17)))\/((-10)\/6).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/6 - 411*j**4 + 337842*j**3 - 92568708*j**2.\nAnswer: j**2*(j - 822)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 238. Let a be y(0). Suppose 0 = -255*l + 309*l - 22464. Let w = l + a. What are the prime factors of w?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54632 (base 8) to base 11.\nAnswer: -16263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - 2*w**3 - 3 + 2 + (3 - 7*w - 3)*(-w**2 - w**2 + w**2).\nAnswer: 5*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 2*i - 3*l, -i + l = -l - 89. Suppose -5*a + 75 = -5*y, -57 + 9 = -4*a - 2*y. Calculate the remainder when i is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 2:34 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*s + 3*d - 20, -10 = -2*d. Let h be s\/(-3 + 4) + 7. Solve 2*w + 2 = -2, -w = 5*n - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 y, and 1 b when four letters picked without replacement from mbyybmywyymbbbmbm?\nAnswer: 15\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241660854.\nAnswer: 2, 7, 79, 1122659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prpj when four letters picked without replacement from jrrjpppjjprjj?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 20. What is the closest to -1 in i, 4\/7, 0.07?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(3 + 1 - 2)*(v**5 + 0*v**5 - 7*v**5).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.4 and 1.244611.\nAnswer: 20.4116204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Suppose 3*l - 5*t - 35 = 0, -f*l - 2*t + 110 = 2*l. Let p = 13 + -2. Calculate the remainder when l is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by -87.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/64 and 19\/98590.\nAnswer: 3154880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(89*w**4 + 91*w**4 - 13*w - 181*w**4).\nAnswer: 3*w**4 + 39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**5 + 13*j**5 - 16*j**5 + (4 - 2*j - 4)*(j**4 - 4*j**4 + 2*j**4).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*c**3*u**3 + 34*c**3*u + 71*c**2*u**2 + 387202*c*u**3 - 128*c*u - u**2 wrt u?\nAnswer: -144*c**3 + 2323212*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003636327952 rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 0.1, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/3 + 7*32\/112?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 412?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2301 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49517.\nAnswer: 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -144. Let v = l + 211. Let o = v + -77. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31926 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*z + 3400, 4*z = -2*l + 6238 + 618. What is the highest common divisor of 240 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 34. Let u = n - 13. Which is the nearest to -0.12? (a) 5 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37026136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 240*p**2 + 18*p - 49. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7754*p + 7819*p = 780 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*g**3 - 3\/7*g**4 + 2\/7*g + 3\/7*g**2 + 0.\nAnswer: -g*(g - 1)*(g + 1)*(3*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -7 + -2 + 5. Let z be (w - 2\/22)*2. Let m = -10 + 6. Which is the second smallest value? (a) z (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10.86 (b) -2 (c) 7\/4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 9*r**2 + 9*r - 10. Let h = 13 - 23. Let w be g(h). What are the prime factors of (w - (4 - 7)) + 30?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 4*k + 2. Let j = -8 + 6. Let s(r) = r**2 - r - 1. Let u(i) = j*s(i) + z(i). Factor u(x).\nAnswer: 2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucuccuiuuuuccuuccuu. Give prob of sequence ccic.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182246?\nAnswer: 2, 293, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -7*i + 154. Suppose 0 = -13*s + i*s - 2862. What are the prime factors of s?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 98. Suppose 2*x + 2*x - 16 = 0. Suppose -m + 85 = x*m. What is the remainder when n is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 1\/60*l**5 + 0*l**6 + 0*l**4 + 0 - 2*l**2 - 1\/112*l**8 + 0*l**3 + 0*l**7 + 0*l. What is the third derivative of o(n) wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8)*4 - -2. Suppose 0 = 3*h + 5*q - 3 + 6, 2*q = o. Let y be (-7)\/(-14)*(5 + h). Are 3 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79.8055 + 79.2. Round d to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 407*n - 1948*n - 36984 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 11*f - 6. Suppose -113*w - 1186 = -1977. Let j(s) = 3*s**2 - 23*s + 11. Give w*x(z) + 4*j(z).\nAnswer: -2*z**2 - 15*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*o - 1902, 2*b - 372 = b + 5*o. What are the prime factors of b?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 4*k**2 + 0*k**2 + (0*k + 0*k + 2*k**2)*(-1 + 1 + 1) + 1862*k**2 + 294*k**2 - 3463*k**2)*(0 + 1 + 1).\nAnswer: -2608*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74593 is divided by 18630.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i - 840 = -49*i. Solve 20 = i*r - 140 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680326459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8695.44 tonnes in grams?\nAnswer: 8695440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -10 + (25 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 288*y + 703986 - 694194 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/7)\/u*u**27)**(-18) assuming u is positive.\nAnswer: u**(-3420\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2 - i + 60. Let l be v(0). What is the second derivative of 54*f**2 - l - 30 + 1 - 2*f**3 - 2*f wrt f?\nAnswer: -12*f + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:50 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**2 - 34678*q + 69383. Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 0*m + m - 7)*(-3 + 3 - 2) to the form k + s*m and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddhhdhdhhhdhhhdlh. Give prob of sequence dd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(720) + -5*(sqrt(720) - (sqrt(720) - 2*sqrt(720))) - (4 + 2 + sqrt(720) + sqrt(720))))**2.\nAnswer: -348496 - 2112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 77. Suppose -t*c + 462 = -4*c - 5*i, c = -2*i + 143. Calculate the remainder when c is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 804 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 1\/6*s**3 - 1\/60*s**5 + 0*s - 8*s**2 + 0 + 0*s**4. Calculate f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**2\/2 + 4*d + 3. Let l(i) = 5*i**2 - 1. Let h be l(-1). Let o(k) = 2*k + 6*k - h*k - 15. Give 22*f(y) + 6*o(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2215.8 rounded to the nearest ten?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gdgddddddgddgg?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 463024.\nAnswer: 463025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 42. Suppose p*u = 29*u - 15. Suppose o - 3*o = 5*q - u, -5*o = -5*q + 15. What is the highest common factor of q and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/22))**(-31)*(v**(-25))**(-36) assuming v is positive.\nAnswer: v**(19707\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 3, 5.\nAnswer: -3, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.926 + 0.074. What is the closest to 13 in g, -1, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -40 and -409.96.\nAnswer: -449.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 - (0 + -3 - -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3.8, -1\/13, -0.1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3713, 4201, 4691, 5183, 5677?\n\"Answer: y**2 + 485*y + 3227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325)*5 + -1 + sqrt(325) + 0 - (1 + ((2*sqrt(325) - sqrt(325)) + -2 - (sqrt(325) - (0 + sqrt(325))*3))))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -104, 4, 2\/7, -460, 0.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -889a831?\nAnswer: -889a827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21\/25, 0.33, -3570?\nAnswer: 21\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 20*p**3 + 6*p**2 - 20*p - 6 = 0.\nAnswer: -1, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 13*z - 36. Let f be o(-4). Suppose 2*u + 6*u - 4112 = f. List the prime factors of u.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/15)\/(4\/18). Let z be 16\/6 - (-1 + v). Which is smaller: z or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -274?\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 3*g + 14)*(1 - 1 - 2*g**2) + 0*g**3 - g**3 - 4*g**3 to the form l*g + c + p*g**2 + y*g**3 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**12\/y)\/y)\/y)\/y**(1\/2))**(1\/3) assuming y is positive.\nAnswer: y**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 8*d - d + 2*d - 2 + 2 + (0*d - 4*d + 6*d)*(1 + 0 + 3) to o + s*d and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -220.46?\nAnswer: 5511.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 3280*l = 0. Calculate l.\nAnswer: -820, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -547309, 1 in increasing order.\nAnswer: -547309, -24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 - k + 1. Let a be m(-8). Let i be 3\/15 - a\/20. What is the smallest value in -2, i, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 761, 1678, 2945, 4562?\nAnswer: 6529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 6*c + 7. Let p(x) = -x - 1. Calculate o(i) + 6*p(i).\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 642*k**2 + 2631*k + 3270.\nAnswer: -3*(k - 5)*(k + 1)*(k + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33944080 by -8402.\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*r + 174*r + 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1964*b**2*f**3 + 268*b**2*f*h - b**2*h - 2*b*f**3*h - 31*b*f**2 - 9675*b*f*h + b + 2*f**3 wrt b?\nAnswer: -3928*f**3 + 536*f*h - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - 1 + 1)*(216 + 1104 + 533) in the form v*o + p and give v.\nAnswer: -5559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*a - 7*a + a)*(0 - 6 + 2) + (-1 + 2*a + 1)*(1 + 1 - 6))*(-4*a**2 + 2*a**2 + 0*a**2) to c*a**2 + f*a**3 + s + g*a and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/36 and -58\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -36*u**3 - 61*u**2 - u - 2. Let z(w) = w**3 + w**2 - w - 1. Let s(t) = b(t) + 5*z(t). Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06212 and 0.0729.\nAnswer: 0.004528548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.20368 tonnes in nanograms?\nAnswer: 33203680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1043482 - 564182. Round q to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60881 - -1940063.\nAnswer: 1879182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -6193540\/7?\nAnswer: -6193540\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = -4*d, -d + 3*m = -4*d + 18. Suppose -4*p - 30 = -2*i, 43 - 6 = 3*i - d*p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + 714709?\nAnswer: 714695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -149?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 328821065 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 17. Let i = 8 - d. Solve n - 2*t = 5*n + 16, i*t - 14 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.026478 nanograms in kilograms?\nAnswer: 0.000000000006026478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 292, 586, 880, 1174, 1468?\n\"Answer: 294*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 934*c**2 - 3*c + 2. Let k be u(1). Is k\/7 - 12\/42 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 132260533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 1 + 5 + i + (-2 - 4 - 2)*(-39*i - 7*i + 6*i).\nAnswer: 321*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 3*g + 6*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g**4 - g)*(2*g - 3*g + 2*g) - 44*g**2 + 44*g**2 + 11*g**5 - 3*g**5 - 13*g**5 - 5*g**5 + (-2*g**2 - 2 + 2)*(3*g**3 + g**2 - g**2).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 equal to 26395\/994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 5, 1, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91519052 by 22879763.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -4. Suppose 0 = -3*a - c - 9. Is a <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+378525703153\nAnswer: 378525703153.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h)**(3\/14) assuming h is positive.\nAnswer: h**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -191*q**3 - 3*q**2 - 6*q - 1. Is a(-3) 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 141313 and 2815.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2) - (-115524)\/(-18). Is (-12)\/8*v\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 11\/7 + 303\/21. Let w be 1 + -2 + 21\/q. Factor 0 - 6\/5*d**3 - 2\/5*d**5 + 0*d - 6\/5*d**4 - w*d**2.\nAnswer: -2*d**2*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and -26.905.\nAnswer: 0.080715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1ab6a9 (base 15) to base 11\nAnswer: 810a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 29*m + 22*m**2 - 54*m + 5*m**2 - 43*m**2.\nAnswer: -16*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*y + 11310, -2*y + 6*y - 5*c + 9015 = 0. List the prime factors of 10*y\/(-150)*(-3)\/(-1).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25a2 (base 12) to base 6\nAnswer: -31522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 2*h - h)*(3 - 1 - 1) + 0*h + 0*h + 3*h in the form u*h + f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - 3*h - 6*h)*(h**2 - h**2 + h**2) - 22*h**2 - 6*h**3 + 22*h**2 to the form n*h + k*h**2 + i*h**3 + z and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:31 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 10 - t + 4*t**2 - 7*t**2. Let n be 240\/(-200)*20\/6. Determine v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41484 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/6 - 5 - 0\/11?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -330 - 865?\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 421649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(-8)\/28*259\/(-1702) - 77.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/17, 4, 4\/5, 1 in decreasing order.\nAnswer: 4, 1, 4\/5, 7\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 109? (a) -1\/2 (b) 4\/11 (c) 4 (d) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1855264, 3\/4, 5.\nAnswer: -19, 3\/4, 5, 1855264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-56)\/(-42))\/((-2)\/51). Let t be (-202)\/6 - 1\/3. Let j = i - t. Solve -5*b = z - 4 + 9, j = -2*z + 4*b + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14377285 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4, -4*h = -3*i - 0*i - 6. Suppose 2*a - 9 - 15 = h. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*p - 420 = 0, 278 - 1916 = -4*u - p. What are the prime factors of u?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 + m**2 + 4415*m - 8856. Determine h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 4 + 0 - (8 + 11 + -3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - -37 - (-4 - (-11 + -1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1622797\/43 at most as big as -37739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/15 + -1)\/((-6)\/(-60)). Let t be 2*j*(-21)\/(-84). Let d be 0\/4 - 4\/(-2). Solve d*k + 2 = t*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -272 + 267. Let l(y) = 2*y**2 + 6*y - 16. Let k be l(j). Let x = -11 - -15. Solve 14 = 4*s + 5*p - 23, x*p = k*s + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 - 10*p - 5*p - 52*p)*(1 + 2*p**2 - 1) as d*p**2 + m*p**4 + n*p**3 + k + a*p and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u\/(u\/(u**(-12\/11)\/u)))*u)\/u)\/(u**23\/u))\/((u\/u**(1\/2))\/(u\/(u*u**(-1\/29))*u)))**7 assuming u is positive.\nAnswer: u**(-77595\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 at most as big as -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 1307.748?\nAnswer: -1321.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2*p - 5*p + (-4*p - 3*p - p)*(-1 + 2 - 4) - 3 - p + 3)*(-107 - 116 + 83) as i + f*p and give f.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 387 and 30?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/7))\/w)**(-1\/22)*w*(w\/(w*w**11))\/w*w**1 assuming w is positive.\nAnswer: w**(-1541\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 79. Sort -24, -5, c, -1 in descending order.\nAnswer: -1, c, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144.92492153 + -0.07629847. Let o = v - -145. Round o to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/21)\/((-1)\/(-3)). Let f = -947 + 950. Suppose f*c - 936 = -v*m + 2*c, -234 = -m - 4*c. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935347772 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 4*p + 27719 = 31*i, -5*i + p = -46187. Suppose -4*d = -u + 6445, 5*d = 2*u - i - 3644. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115.29 + -119.29. What is the closest to 53 in 2\/3, 4, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -37, 1.\nAnswer: -37, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -8. Let y(l) = -1 + 3*l**2 + 3*l**3 + 4*l**3 - o*l**2 + 2. What is the remainder when 15 is divided by y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.96 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -955*c**4 - 614?\nAnswer: -3820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - 9. Suppose 3*s = 2 + k. Suppose -7 = o + 5*h - 25, -2*o + 5*h = -6. Calculate the remainder when s is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1221 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -27. Suppose -3*s + 2238 = u*h, -1820 = -4*h + s + 4*s. Suppose 0*n = -5*n + h. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/16 (c) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -529\/7 greater than or equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/15 (b) 30 (c) 1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 36. Let f = 127 + -116. Is 7 a factor of x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 + -14.64. Let j = h + 11. Sort -0.3, j, -1.\nAnswer: j, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/6)\/((-1)\/2). Let g = -7 - h. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 - -1)\/2)\/(-1). Let b be 8*(-3)\/(-6)*w. Find the third derivative of b*i**2 + 44 - 44 - i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/57 (b) -0.3 (c) -31 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 48*y + 1. Let k be o(16). Which is smaller: -1.376 or k?\nAnswer: -1.376","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -18*i**2 - 9*i. Let c(o) = -9*o**2 - 5*o. Let t(u) = -9*c(u) + 5*h(u). Let a(d) = 5*d**2 + 0*d**2 + 66 - 39 - 6*d**2 - 27. Calculate t(a(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356689984 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:02 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 14796 = -5*n, 1479 = -4*n - m + 13309. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k + 8*k + 18*k + 1 - 51*k**2 + 6*k + 11*k.\nAnswer: -51*k**2 + 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1cb?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16658 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**3 - 5*r**2 - 7*r + 7. Let p(b) = b**2 + b - 1. Let h(d) = l(d) + 6*p(d). Determine h(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60753 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 9*x**2 - x - 61. Calculate the least common multiple of i(11) and 4.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, -0.2259, 4 in descending order.\nAnswer: 23, 4, 3, -0.2259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 64 = -4*c + 24, w = c + 32. Calculate the remainder when 50 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by -42.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose -3*w = -d*w. Let n be 90\/10 + w\/(-2). Which is smaller: n or 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inz. What is prob of picking 1 i and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/(sqrt(8) + sqrt(1152) + (sqrt(1152) - 3*sqrt(1152))) - (sqrt(3) + (sqrt(3) + -2)*-3 + 4 + 2).\nAnswer: -12 + 19*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o - 10. Is c(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -4 + (0 - 0). Let w be (-2 - 2\/p)*-3. Solve -3*j + 2*g = w*g - 11, g + 13 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**3 + 2*l**2 - 1. Let s be k(-1). Suppose 3*w = 2*w + s. Calculate the smallest common multiple of 27 and w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 3, 0, 1034 in descending order.\nAnswer: 1034, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 63 = 5*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:28 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 - (39 + -32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 4507335.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01479 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.07, 0, 2\/7, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23*2)\/2 - -2. Suppose -3*a + 5*w + 14 + 7 = 0, -5*a + 5*w = -f. Is 1\/2*21*a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12830 + 37224. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((340\/275)\/(-17))\/((-9)\/((-225)\/10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2332 - -3446. Suppose 4*b - 1241 = -2*q + 955, 0 = -2*b - 5*q + x. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 4980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (13 - (-5 - -3 - -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 585009\/124 or 4718?\nAnswer: 4718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 107*f - 51. Let z(o) = -2*o. Determine b(z(q)).\nAnswer: -214*q - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from upnpppnpppnpppppp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 5}. Give prob of picking 1 r and 2 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593256 bigger than 3593245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 579631, 1159323, 1739019, 2318719?\n\"Answer: 2*t**2 + 579686*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 14 - 19 - 4*h + 2*h.\nAnswer: -4*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(3*-2*sqrt(2)) + -5.\nAnswer: -5 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 2384?\nAnswer: -476.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(4\/5)\/h))\/(h\/(h**3\/h)*h))\/(h\/h**(-2\/7))**(2\/29) assuming h is positive.\nAnswer: h**(1128\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*r - 203*r - 560 = 0. Solve 25*i = r*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -5*p - 26. Let k be (-1 + 0)\/(4\/(-124)). Let u = k + -21. Calculate the highest common factor of u and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 72 = 3*a. Let x(z) = z**3 - z**2 - z - 95. Let b be x(0). Let r = 0 - b. What is the remainder when r is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*f + 2*y + 6, -y = -4*f + 13. Suppose f*j = p - j + 26, 6 = 4*p + 2*j. Let l be p\/1 + (27 - -4). Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*7\/(-15)*-21. Let g be 21\/n - (-3)\/(-7). Solve g = -5*r + 15, -4*i + 0*r = 3*r - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(-5\/11)*(x\/(x\/((x**8*x)\/x)))\/(x**12*x) assuming x is positive.\nAnswer: x**(-70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15941*2.\nAnswer: 31882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -14, -51 in decreasing order.\nAnswer: -6, -14, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726338.\nAnswer: 2, 47, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 3*a + 65. Let i(c) = -6*c**2 - 16*c + 328. What is 2*i(s) - 11*v(s)?\nAnswer: -s**2 + s - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.089, 0.8, 373, 3, -5.9 in increasing order.\nAnswer: -5.9, 0.089, 0.8, 3, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 2*j. Let a = 0 + j. Let w be ((-80)\/(-42)*(-1757)\/(-1004))\/((-10)\/(-12)). Sort a, 11, w, -2 in descending order.\nAnswer: 11, w, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20303.\nAnswer: 79, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 + -35.7. Let d = -31.12 - k. Round d to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-9) + -1 + 1. Let x = p + 9. Solve 3*o - 1 = -x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.09 and -287142.2012.\nAnswer: -287139.1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -41, 98, -11 in descending order.\nAnswer: 98, -11, -35, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(6 - 1 - 3 + 17*v)*(v**4 + v**4 - v**4) + (-3*v**2 + 0*v**2 + 2*v**2)*(6*v**3 - 4*v**3 + 0*v**3) - v**5 + 2*v**5 - 2*v**5.\nAnswer: -20*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10643301\/72488 + 21\/4264. Which is smaller: -146 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1300) + sqrt(1300) + sqrt(1300) + -2 + 0 - (sqrt(1300) - (sqrt(1300) + -2*-1*sqrt(1300)))))**2.\nAnswer: -600*sqrt(13) + 32536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 116 = -11*h, d - 9*h + 0*h = -6*h + 38 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10200783?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*-122\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**3 - 467*y + 3 + y**2 - 475*y + 939*y + 1. Let o(g) = 4*g**3 + g**2 - 2*g + 3. What is -3*i(f) + 4*o(f)?\nAnswer: f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3737 divide 104552132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*o - 0*o - 4*s, -4*s = 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -7) + -10 - -17 - 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 80*u + 5799. Calculate b(-46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/7 - 26*b\/7 + 72\/7 = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in -12, -2\/43, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625267789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215072 - -122772. What is y rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8256)\/74304)\/((-1)\/(225\/2))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.184836752 to 4 dps.\nAnswer: -3.1848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 49764691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9403374 is divided by 2945?\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38101 is divided by 405.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 46. Which is smaller: -22 or n?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 44*s**2 + 2*s. Let t(b) = -2*b**2 + 18. Calculate m(t(z)).\nAnswer: 176*z**4 - 3172*z**2 + 14292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 times 69.67?\nAnswer: -61.3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24604691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 8:09 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 10\/291, -0.041, 6, 4, 5, -1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -4*p**3\/3 + 13*p**2\/2 + 12*p. Suppose 5 = -3*w - 4*c, 0 = w + 2*w + 5*c + 1. What are the prime factors of x(w)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*3 - (-1 + 0). Let d = i - 4. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3898821 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -1.9. Let d(u) = u**3 + 4*u**2 - 9*u - 47. Let s be d(-4). What is the biggest value in -0.5, 0, s, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 1, g: 1, j: 2, o: 1, p: 1}. Give prob of picking 1 f and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:39 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 5*r + 8, 1 = -3*d - r. What is the greatest common factor of 5 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = o - 10, 5*j = 9*o - 5*o + 95. Suppose 5*g - 70 = -5*l, -g = -5*l + 40 + 36. Is l smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-502)*(-2)\/2. Let i(l) = 22*l + 43. Let t be i(-2). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = k + 1, x - 2*k + 1 = -4*x. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642196 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 6. Let g(a) = 3. Suppose -9*b + 4*b + 5 = 0. Let s(k) = 1 - 4 + 4. Let q(n) = b*g(n) - 2*s(n). Calculate l(o) - 6*q(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o + 44*o + 558 = 78*o + 135 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -267452*b - 1996727.\nAnswer: -267452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210 (base 3) in base 11?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 33. Suppose -5*r = 4*t - 14, -t + 12 = t + 5*r. Solve t = -w*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*s - 24, -2*s = 2*q + q - 15. Let h(j) = 15*j - 6. Let w be h(1). Calculate the greatest common factor of q and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 79 = 5*g - 41, -4 = x. What is the least common multiple of g and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + w**4 - w**4 + (0*w**3 - 2*w**3 + 3*w**3)*(-4*w + 0*w - w).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -83. Let o = 308 + -308.5. Which is the closest to -1\/4? (a) o (b) -1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 5759?\nAnswer: 63349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 4*z - 7*z)*(-4*z**2 + 0*z**2 + 2*z**2) + 106*z**3 - 4 + 32*z**3 + 77*z**3.\nAnswer: 213*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6127462 + 0.6127. What is h rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23156 or -254702\/11?\nAnswer: -23156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 - (-7)\/(-1) - -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12780 (base 12) to base 13\nAnswer: -b68b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71, 122, 173, 224, 275?\n\"Answer: 51*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 - -22?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z + 85. Let k(h) = -48*h + 340. What is 22*j(m) - 6*k(m)?\nAnswer: 2*m - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 2*s + 56. Suppose -2*h - 68 = 5*i, 36 = -i - i - 3*h. Let n = i + 12. Is q(n) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 767 and 531?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (7 - 3)) + 0 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12458 + -12463. Sort y, 123, -4, -1.\nAnswer: y, -4, -1, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -357 - 1746?\nAnswer: -2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 15. Suppose -7*m + z - 7 = 0. Let g(l) be the third derivative of -l**4\/3 - l**3\/6 - 4*l**2. Calculate g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 2:37 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*h**6 + 272*h**3 + 13002*h**2 + 23 wrt h?\nAnswer: 10320*h**3 + 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01706131218 to 6 decimal places.\nAnswer: -0.017061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**12)))\/((v*v**(-14))\/v*v))\/((v\/(v\/(v*v\/(v*v**12))))\/v*v\/(v*v\/(v*v**2\/v)*v*v)*v) assuming v is positive.\nAnswer: v**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 94*l**2 - 290*l + 176. Let a be h(-97). Solve a*c - 57 = 60*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343420016 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 912 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5 - 5*o**4 - 55*o**3 - 35*o**2 + 50*o + 40 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3339 and 37\/322.\nAnswer: 153594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**4*x)*x*x**(6\/11))\/(x**(-3\/5)*x**(1\/17)) assuming x is positive.\nAnswer: x**(-2724\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0.1, -2.72, -3\/8, 8 in descending order.\nAnswer: 8, 0.1, -3\/8, -2.72, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*d = 20, -7*d - 41 = -236*x + 240*x. Factor -19\/8*k - 5\/2 + 1\/8*k**x.\nAnswer: (k - 20)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = -2*w. Let p(v) be the first derivative of v**2\/2 + 4*v - 2. Determine p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o**3 - 3*o**2 - o + 2. What is the hundreds digit of y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48563015*s**2*z**2 - 1520*s**2*z - 2*s**2 + 525*s*z + 3*z wrt z?\nAnswer: 97126030*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + n**2 - 3*n**2)*((n - n - n)*(-2 + 2 + 2*n**2) - 2*n**3 + 2*n**3 - 2*n**3 - 4*n**2 - 5*n**3 + 10*n**2 + 3907 - 3909).\nAnswer: -9*n**5 + 6*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 362362677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 132 = -2*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335805 * 0.02.\nAnswer: 6716.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1118 divide 31070338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 70764*r + 70764*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4 - 3*m**2 + 0*m**2 + 0 - 9*m**3 - 6*m**3 - 3*m. Let w be 4 - 3 - 21\/7. What are the prime factors of b(w)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i + 10. Let c be s(-2). Suppose c = r + 6 - 88. Calculate the least common multiple of r and 8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 + 103. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120904 + 23213459\/192. Calculate the common denominator of h and 2\/33.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5)*1 + 4 - (sqrt(5) + 4 + -1 + sqrt(5))).\nAnswer: -5*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.588221752 minus 1?\nAnswer: -0.411778248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 5*o = -9656. Let x = 904 - o. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*504.154\nAnswer: -504.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 0.1109324.\nAnswer: -0.3890676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(sqrt(154)*2)\/sqrt(7))\/(-5*sqrt(12)\/sqrt(6) - (sqrt(6)\/sqrt(147) - sqrt(2)))*3.\nAnswer: 252*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/17)\/(-4) - (-848)\/4896. Let c(g) be the second derivative of -38*g + 0*g**5 - t*g**4 + 0*g**3 + 1\/45*g**6 + 0*g**2 + 0. Let c(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 71. Put -2, b, 1 in decreasing order.\nAnswer: 1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)\/(sqrt(6) + sqrt(24)\/sqrt(4))*-6 - sqrt(208)\/(sqrt(196) - -1*sqrt(196)))*1)**2.\nAnswer: 24037\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/123509 and 59\/807.\nAnswer: 99671763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = x + 91668, 4*l - 190133 - 176534 = 5*x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6872 - 8a10?\nAnswer: -11482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 36*j - 225. Give y(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32916, 57790, 82664, 107538, 132412?\n\"Answer: 24874*o + 8042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**5 - 3*w**4 - 98*w**3 - 43518*w**2.\nAnswer: 240*w**2 - 72*w - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - k - 5 = 0, -21*l - 9 = -22*l - 3*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8713863 rounded to two dps?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c**2 + 95*c - 630 = 0. What is c?\nAnswer: -14, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10077.36*-0.08.\nAnswer: 806.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:23 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 3 - 43 - (6 + -3 - 15)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 6 + 1)*(1 + 2 - 1) - 2 + 2 - 1 + (-2 + 0 + 1)*(4 + 0 - 3))*(-3 + 4 + 0)*(7*f - 7*f - f) to the form n*f + w and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98.739 + 5255.039. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/33)*x*x**(-1\/58)\/x assuming x is positive.\nAnswer: x**(-91\/1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158146*f*p**3 - f*p**2 - 108*f*p + 24*p**2 - 11*p wrt p.\nAnswer: -948876*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 1 + 41\/5*c - 27\/5*c**5 + 98\/5*c**2 - 27*c**4 + 18\/5*c**3 = 0.\nAnswer: -5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542 divided by -221823?\nAnswer: -2542\/221823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1408? (a) 130 (b) -4 (c) 3 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -71. Find the third derivative of -44*t**6 + 40*t**h + 22*t**2 - 45*t**6 wrt t.\nAnswer: -10680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - -0.2. Let x = 37\/44 + -12\/11. What is the closest to s in 2\/17, x, -0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1311 divide 1069438089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/42*((-4)\/(-3))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*p - 1950 = -5*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 - -82. Let l = 40194.5007 + -40033.51. Let i = l + u. Round i to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 38*y**2 + 127*y + 2. What is i(41)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 2\/9, -2, 8055?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020779204 rounded to seven dps?\nAnswer: 0.0002078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/(-14)*3)\/1. What is f rounded to 1 decimal place?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 140.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o + 7. Let w(m) = 2*m**2 - 20*m - 18. Let q be 13 + 3\/((-12)\/8 - 0). Let c be w(q). Let v be s(c). Is 35 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(3 - 4 - 3). Solve z + 34 = n*h + 14, 4*h = -4*z + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 7*j + 4. Let t(y) = -16*y**2 + 31*y + 21. What is 11*n(p) - 2*t(p)?\nAnswer: -p**2 + 15*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 225623 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2. Let v(r) be the second derivative of 0*r**3 + 0 - 4*r + 1\/12*r**4 + 0*r**2. What is m(v(j))?\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -1 (c) -1\/12 (d) 1\/9 (e) 10 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.016558 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 143. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 790*v + 657. List the prime factors of f(38).\nAnswer: 30677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35d492 - -b?\nAnswer: 35d49d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**4\/6 + v**2. Let d(h) = -2*h**2 + 14*h + 3. Let y be d(7). Let x(b) = -5*b - 4 + 1 + y. Determine k(x(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 69a (base 13) to base 12\nAnswer: 7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1962 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206837\/6 - 70725\/2. Let m = i + 27011\/30. Calculate the common denominator of m and -16\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, -17\/2, -152.\nAnswer: -152, -17\/2, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45202\/5 bigger than 9041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 16 = f, -48 = 3*f + 2*u. Let z = f + 21. Suppose 0 = z*v - 33 + 13. Which is the third biggest value? (a) -4 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 6:55 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 - 3 = -3*k, 0 = 2*k + 2*h + 2. Sort 4, k, -1 in ascending order.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -702 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*t + 48*t - 289*t - 297*t - 123*t.\nAnswer: -544*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, 1035.\nAnswer: -3, 0, 1, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7))**(-35)\/(y**(-3\/4))**(-10) assuming y is positive.\nAnswer: y**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 0*n + 16 + 70*n**2 - 30*n**2 - 41*n**2. Let x be b(0). Solve 2*j + x = 3*i + i, 0 = 5*i - 5*j - 25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0096? (a) -0.4 (b) 4 (c) -1\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-10 + -5 + 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*c**3 - 4 + (4*c + 6*c - 4*c)*(4*c**2 - 3*c**2 - 2*c**2) + (6 - 1 - 3)*(10*c**3 + 6*c**3 - 5*c**3)*(-5 - 4 + 3).\nAnswer: -136*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 5*o + 13. Let g be z(-6). Let f = 7662 - 7656. Solve f*w = g*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88022 (base 11) to base 6.\nAnswer: 2423400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2581*m - 111399 + 49805 - 39065 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/81 and -113\/1128510?\nAnswer: 10156590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -2*s**6 - 5*s**3\/3 + 11. What is the third derivative of o(p) wrt p?\nAnswer: -720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 22. Let d(v) = v**3 + 9*v**2 - 10*v + 1. Let i be d(m). Is (6\/(-6))\/(i\/(-69)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {r: 5, l: 4, f: 3, t: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*((-20)\/(-15))\/((-3)\/6). Suppose -21*r + n*r = 27. Suppose -2*u = y + 7, 5*u + r = 3*y - 3. Let d(k) = -11*k**2 - 1. What is d(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19960 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + n + 3. What is the remainder when 50 is divided by l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 25. Is r greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:48 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 18 = 0. Let i be (-76)\/r + 4*1\/6. Let s(v) = -26*v - 46. Does 14 divide s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(4*sqrt(6)*-1) + ((sqrt(130) + sqrt(130) + -1*sqrt(130) - sqrt(130))*4)\/sqrt(10).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -488798 and -488799 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + ((6*5*sqrt(3) - (sqrt(3) - (3 + sqrt(15)\/sqrt(5) + sqrt(3)))) + 2)**2*1.\nAnswer: 310*sqrt(3) + 2904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 1 - 4*b + 4*b + 0*b.\nAnswer: -8*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (-5 + sqrt(12)\/sqrt(4))) + (3*sqrt(75) - sqrt(75)))*-6)**2*-1.\nAnswer: -11700 - 3600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - 230*w - 3612. Calculate z(-16).\nAnswer: 1348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/8 - (-11640)\/160. Solve 4 = 69*t - w*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 119?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7749*w**2 + 4*w - 4. Let m be l(2). Round m to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/11 (b) -7 (c) 2\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (2\/(-1) - -1 - -2). Suppose 15 = -4*c - 17. Is c less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*x + 34*x - 63*x + 1980 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6968282.\nAnswer: 2, 3484141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/4 - 7*r**3\/3 + 2*r**2 + 4*r + 17. Calculate o(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -3*o**2\/2 + 23. Let g(u) = u**2 + 14*u - 29. Let w(q) = q**2 + 10*q - 18. Let f(x) = -5*g(x) + 7*w(x). What is f(t(n))?\nAnswer: 18*n**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2010022301 + -203?\nAnswer: 2010022032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c + 2. Suppose -2*g + 7*g - 95 = c*r, -3*g = 2*r - 62. 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 units digit of 295263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7357.567526 - 3648.13257. Let q = 11005 + s. Let g = q + 0.7. Round g to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4067, 16268, 36603, 65072, 101675?\nAnswer: 146412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 582*p - 582*p - 718*p**2 to the form b*p**2 + u + g*p and give b.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 304301 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8604 - 369970\/43. Let c be (4\/(-24))\/((-1)\/3). Let b = 232 - 2086\/9. What is the third smallest value in o, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1927 - 1.40697?\nAnswer: -1928.40697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -17, -43, -91, -167?\n\"Answer: -n**3 - 2*n**2 + 3*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t. Let w(j) = 437675*j - 10248. Let u(p) = -854*p + 20. Let k(s) = 2562*u(s) + 5*w(s). Give k(z(c)).\nAnswer: -2135*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.467 minus -0.0937?\nAnswer: -34.3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by 3?\nAnswer: -164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18548 - 12012. Is s a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.06, 5, 0.3, 0.04, 88835, 3\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**5 - y**4 + y**3 - 9*y**2 + 10*y - 4. Let f(w) = 2*w**4 - w**2 + w. Let b(x) = -2*f(x) - k(x). Find v such that b(v) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0*m + 5*m + 15*m + 2*m + 9. Give k(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 - 2*d + 0*d**2 - 3*d**2)*(613134*d + 4014*d**2 - 613134*d) to the form x*d + v*d**2 + s + g*d**3 + m*d**4 and give m.\nAnswer: -8028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 = -2*u + 18, 0 = w - 5. Suppose u*q + 31 = 4*c, -c + 2*q = -2 - 2. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 + -0.03. Let r be (-1)\/(-1) + 539\/(-35). Let b = r - -514\/35. Sort s, 0.4, b in descending order.\nAnswer: 0.4, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 40001622?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 - 3*f**4 + 5*f**4 + (-2*f**3 + 3*f**4 + 2*f**3)*(-1 + 0 + 3) + 4*f - 4*f - 2*f**4 as m + o*f**4 + q*f**2 + c*f**3 + h*f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19977998, -39956003, -59934008?\nAnswer: -79912013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrdooooro. Give prob of picking 2 o.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (-28)\/(-2)) + -11. Sort n, 2, 3 in decreasing order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 6. Suppose t = -s + 9. Let h be 10*1\/s*2. Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1162)\/49)\/(1032\/(-602)*(26\/(-12))\/13)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 + -253. Calculate the smallest common multiple of 9 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -544 and -543 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246600 and 2219400.\nAnswer: 2219400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51794753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -32. Let u be 2\/((j\/50)\/(-1)). Is 21 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12148 or 36448\/3?\nAnswer: 36448\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2595 or -2593?\nAnswer: -2595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let w(u) = -4*u + 10. Let l(v) = -5*g(v) - w(v). Let p be l(-11). Let n be 6\/9*6\/p. Solve -s + 0*c + 6 = c, -n*s = 3*c - 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -108, 6724, 4, -4 in descending order.\nAnswer: 6724, 4, -3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 + c + 4. Let d(a) = -7*a**2 - 2*a - 5. Determine -3*d(n) - 4*g(n).\nAnswer: -3*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*o**2*s - 42984*o**2 + 8077*o*s + 73*o + 5 wrt o?\nAnswer: -60*s - 85968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252277*j - 626131*j - 626311*j.\nAnswer: -165*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9183 + 9187. Let v = -4 - -6. What is the nearest to -1 in v, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuf when three letters picked without replacement from ufufyyuutuuuutf.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 886725.32 rounded to the nearest 100?\nAnswer: 886700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n = 26*n + 252. What is the highest common factor of n and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2032677 and 140391?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -44*t - 251. Suppose -5*p + 2 = 3*o, -o + 3*p - 18 = -0*o. Let b be a(o). What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 984836390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let x(t) = t**3 - t - 1. Let l be x(-2). Let y = 11 + l. Let c(i) = y - 5 + 10*i**2 + 4 - 1. Determine c(s(v)).\nAnswer: 10*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34764 is divided by 80.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 0.5 (c) 3\/4 (d) -2\/3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/81? (a) 1\/5 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 557934 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q + 1. Let a(b) = 2*b - 7. Let c(g) = -a(g) - 5*k(g). What are the prime factors of c(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 4:07 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11816.976 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.879 and -5594549?\nAnswer: 5594551.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18471416 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13301.\nAnswer: 47, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 5*g**2 + 8*g + 5. Let q(h) = h**3 - 7*h**2 + 3*h - 1. Let b be q(7). Let o be (-2 - b\/(-4)) + 3. Is p(o) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i. Let c be (-9)\/(-15) + (-3)\/5. Let u(s) be the first derivative of c*s**3 - s**3 + 1 + 0 + 1. What is u(n(g))?\nAnswer: -147*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 g when four letters picked without replacement from rddgrrrgddddd.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373 - 2*z**3 - 57 + 51 + 67.\nAnswer: -2*z**3 + 434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23\/1797 - -204469\/952410. What is the common denominator of -7\/53 and p?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 24*h - 111 = 0. Let c be 2360\/32 + (-2)\/(-8). Calculate the greatest common factor of c and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - 48\/(-21). Suppose -i*d = d - 78. Let y = 29 + d. What is the greatest common factor of y and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-3) - 1194540\/(-41670)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 302?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275572 is divided by 275515.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/28))**(-1\/16)\/((q\/q**(-1\/29)*q)\/q**(-20)) assuming q is positive.\nAnswer: q**(-286301\/12992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/27, 1\/4, 5\/3, -3\/7 in decreasing order.\nAnswer: 5\/3, 1\/4, 5\/27, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.27 - 3.27. Which is the second smallest value? (a) l (b) 3 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1\/9, -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*(y\/(y**(-4)*y))\/y)\/(((y*y*y**(-1)*y)\/y)\/y*y)**(-2\/11))\/(y**3*y*y**(-5)\/y*(y*y**0)**(-17)) assuming y is positive.\nAnswer: y**(222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -933*i = -924*i - 135. Suppose 2*x - 4*x - 2 = 2*d, 5*d = 4*x - 41. Solve -4*c + x*z + i = 3, 35 = -5*c - 5*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 - 3800 = -5*r. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42573, 42582, 42591, 42600, 42609?\nAnswer: 42618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*(r*r**2)\/r*r*r))**(-12\/5))**(47\/3))**(6\/17) assuming r is positive.\nAnswer: r**(1128\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78.979 + 0.021. Let l = 42 - d. Is -1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120 * -0.139001\nAnswer: -155.68112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 7*f + 5. Let x be y(8). Let c = x + 5. What is the first derivative of 0*h - c + 3 + 2*h wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5532 to 2 dps.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8210\/(-18) - 19\/(-171). Let t = -269 - z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/71)*n*n**45*n*(n**(4\/19))**(-1\/2) assuming n is positive.\nAnswer: n**(63223\/1349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56640607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44653518 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23323 - 23319. Which is the smallest value? (a) 156\/7 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let m(g) = 122 - 6*g - 122. Determine m(c(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1976 and 442?\nAnswer: 33592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116.032863 + -116.04. What is d rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5663 and -56\/2427?\nAnswer: 16989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -104, -157, -210?\n\"Answer: -53*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 245*l - 231*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127151 and 86.\nAnswer: 254302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -1 + -5 + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 379958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(684) + 5))**2.\nAnswer: 240*sqrt(19) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2390, 0, 8\/621 in descending order.\nAnswer: 8\/621, 0, -2390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-2))\/(3\/(-4)). Suppose -i = -2*a + 4*a. Let b(m) = -m**3 - 5*m**2 + m. Determine b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 30 = -20*d. Suppose k = -3 + d. Solve 0*j = -5*q - k*j - 18, 3*q = j - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/330 - v**4\/33 + v**3\/11 + 29*v**2. Let r(k) = 0. What is k?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 2891134?\nAnswer: 7\/2891134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -35, -74, -129, -206, -311, -450?\n\"Answer: -g**3 + g**2 - 25*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -10. Let m = 18\/13 - 139\/91. Which is the nearest to y? (a) -5 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 18221905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1195*c - 1198*c + 1 - 13, -3*f + 3*c = -21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49373 - 22*j**3 + 28*j**3 - 14*j**3.\nAnswer: -8*j**3 + 49373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.989 from 9216.\nAnswer: 9215.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2196295*w**2. Let b(p) = p. Give v(b(f)).\nAnswer: 2196295*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + x = -6 - 15, -3*k + 2*x = -14. Let h be ((-3)\/6)\/((-1)\/6). Suppose 2*p = -4*b, -2*b = h*b + 2*p. Solve -3*g - k*i + 22 = -0, 2*i - 8 = b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 5*s**5 - 2*s**5 + (s**3 - 4*s**3 + s**3)*(-2 + 2*s**2 + 2) - 9 + s**5 + 9.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (4 + -19 + 11)) + (0 - -6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3069107274?\nAnswer: 2, 3, 17, 61, 103, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49705598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*w = -12 + 32, -2*w + 4 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.52 or 22374?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 15*v**2 - v + 3. Let q = -6455 + 6456. Let j(n) = 1. Give q*x(w) - 4*j(w).\nAnswer: 15*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5443*t - 11065*t - 1618*t - 1 - 97570*t.\nAnswer: -104810*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/13, 0, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrswhrhfssfrxrxfrfhf. Give prob of sequence hf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*w = -291*w + 247*w - 14420 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5*n + 16077*b**2*n**2*y**2 - 3*b*n**2*y**2 - 319*n**2 + 13*y**2 wrt b?\nAnswer: 20*b**3*n + 32154*n**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*o**4*u**2 + 645*o**4*u + 2*o**2*u**2 - 8850*o*u**2 - o wrt o.\nAnswer: 288*o*u**2 + 15480*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 6*u = 0. Suppose -4*x = -20, -5*s + u*s = x - 5. Suppose -2 = -h + 2*h, -4*o + 5*h + 1202 = s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010892 is divided by 4075?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 50*z - 13*z - 7*z to the form n + d*z and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23524770 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most -2716879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-11)\/c*c*(c\/(((c**(2\/5)\/c)\/c)\/c))\/c)\/(c**4\/(c*c**(2\/5))))**(1\/6) assuming c is positive.\nAnswer: c**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2231 by 57.\nAnswer: 2231\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 + 1412*d**3 - 700*d**3 - 699*d**3 - 221.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)\/k)**(-37)\/(k**(-2\/13))**(5\/6) assuming k is positive.\nAnswer: k**(7250\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a second in microseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16847803.\nAnswer: 7, 71, 109, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -3*j**6\/10 + 13*j**3\/3 - 38*j. Find the second derivative of x(s) wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-47.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 9066861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1737072 divided by -16\nAnswer: -108567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/3 - (999530\/(-105))\/(-109).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 0*p**2 + 4*p**2)*(4*p - 2*p - 4*p) + (-6*p - p + 4*p)*(-5*p + 2*p + 0*p)*(-4375*p + 8090*p - 4309*p).\nAnswer: -5348*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -664, -3293, -7886, -14443, -22964?\n\"Answer: -982*l**2 + 317*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - c0?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 42*p + 114. Calculate c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 167*k - 162*k. Which is the fourth biggest value? (a) 12 (b) 5 (c) 2\/49 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6788 - 6789. Sort -4, 10, -6, q in decreasing order.\nAnswer: 10, q, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-35) + (-187)\/(-7). Suppose 2 = -5*m + l. Suppose 2 = -3*i + m. What is the lowest common multiple of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) + 390\/33. Suppose 0 = 3*r - 0*r - w. Solve d + r = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 2088*q - 18790\/9.\nAnswer: -2*(q + 1)*(q + 9395)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.804*-0.06.\nAnswer: -2.20824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/2, 4, 0.3, 584, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 21 = 8*d + 13*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-11\/5)*s*s)**(-9\/5)*s**(3\/8)*s**(-3\/11))**(1\/19) assuming s is positive.\nAnswer: s**(1017\/41800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 31 - 7 = 0. Is h greater than or equal to -13\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + 0.18. Let x = -1.11 + s. Let c = x + 1.1. Is c at most -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1274155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/(-6) + 4 + (-13 - 882\/(-56)). Which is the nearest to 0.395? (a) -0.6 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1313 - 1317. Which is the fourth biggest value? (a) 0.5 (b) p (c) -13 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 18*m**2 - 81*m - 123. Determine r(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*o = -188*o + 128624. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 741*j**2 + 2808*j**6 - 183*j**2 + 413*j**2 wrt j.\nAnswer: 336960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/9 - 2768*q - 324194\/9 = 0. Calculate q.\nAnswer: -13, 12469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -655314430 divided by 65531443?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5603*c - 6. Let d be w(-1). Let a = -826 - d. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127843651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v + 10. Suppose 3 = -v*a + 2*a. Let i = -10912 + 10912.2. What is the biggest value in a, 9, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-105 - 28542\/(-268))\/((-3)\/30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 34*o = -16. Let m = -143\/4 + 36. What is the closest to m in -2, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24110223 (base 5) to base 8\nAnswer: -662543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-6\/29))\/j**27)\/(j*j**(-27))**(-25) assuming j is positive.\nAnswer: j**(-19598\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 29*n**2 + 42*n + 16.\nAnswer: (n + 1)*(n + 8)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 16 + -31 + (0 - 8) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.681 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-270)*9*114\/19*5\/1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 488, 484, 476, 464, 448, 428, 404?\n\"Answer: -2*k**2 + 2*k + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 0*g**2 - 2*g**2)*(-3 + 3 - g**2) + 2*g**4 - 4*g**4 + g**4 + (g**2 - 2*g**2 + 0*g**2)*(-2*g**2 + 0*g + 0*g) - 2*g**4 - 3*g**4 + 0*g**4.\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 5320506.\nAnswer: 5320509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 - (6 + -4))) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3686 - -1550. Let g = c - -10634\/5. Let s = g - -128\/15. Which is bigger: 2\/11 or s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -596*o + 14. Let l(d) = -289*d + 8. Give -11*l(i) + 6*m(i).\nAnswer: -397*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 2. Let u = 0.0934 + 0.1066. Let c = 379 + -384. Sort c, u, 0.02, a in descending order.\nAnswer: u, a, 0.02, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 times -1829411?\nAnswer: 6768820.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*j + 121, -2*j - 1711636 = d - 1711587 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 + 448714*r\/13 + 897420\/13.\nAnswer: 2*(r + 2)*(r + 224355)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29511, -29509, -29507, -29505?\nAnswer: -29503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0471*1040.\nAnswer: -48.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {g: 10, o: 4, n: 6}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 133, 11\/2, 141.\nAnswer: -1, 0.5, 11\/2, 133, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*x + 6, -23 = t + 5*x + 1. Are t and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + 1.7. Let c = -0.1 - y. Let n = -1.0075 + c. What is n rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g + 15 = 0, -3*g + 33 = 2*h. Let l(o) = -3 - 3 - 3*o + 0*o + h*o. Let k(t) = -2*t - 2 + 7*t - 3*t. Give 14*k(p) - 5*l(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2675.92586 + 0.42586. Round i to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159 + 330. Suppose -i - 2*i = -m + 136, -m = 4*i - g. Suppose 0 = 6*h - m - 317. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11792*z**2 + 11792*z**2 - 23563*z**2.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10764 = -918*a + 80*a + 12700 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*a + 154 + 453*a - 915*a.\nAnswer: -a + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(62 + 441 - 47)*(4*w - 3*w + w).\nAnswer: -912*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89169?\nAnswer: 3, 29723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-52)\/26*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/502272 and -27\/128?\nAnswer: 502272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8166 + 1794 = 1054*y + 301 + 1227 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5187416 and -1.\nAnswer: -5187416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 161. Let o = 153 - s. List the prime factors of o.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2981 divided by -4.\nAnswer: 2981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957*g + 1899*g + 27246 = 4573*g for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 23 = -22. Suppose -r - g = -3*w - 4*r, -5*r - 5 = 0. Suppose x - 8 = -w*y, 6*y = 3*y - x + 5. Solve -5*f - y - 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 29*u**2 + 3*u + 39. Suppose d = -d. Suppose -25 = -5*c, d = 4*m + 5*c - 10*c - 87. Is l(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10460 and 5.\nAnswer: -52300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -11*i**5\/20 + i**4\/4 + 7*i**3\/6 - 5*i**2\/2 - i. Let f be x(4). Is (0 - 2)*f\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*x - 24, 3*x - x = 2*u - 32. Calculate the highest common divisor of 220 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 - 3 = 0. Suppose i = p, -4*o + i + 282 = 3*i. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 239?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r - 3. Let a(d) = 3*d + 1. Let t(y) = 5*a(y) + 2*x(y). Let c be 9\/(-36)*(-1 - 19) - 6. Let o(i) = i**2 - i + 1. What is c*t(f) + o(f)?\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46840999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 36 = 66 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*g + 4*g + 0*g - 386 + 23*g in the form o*g + l and give l.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2063413?\nAnswer: -5\/2063413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34459\/2 - 17230. Which is the nearest to 9? (a) -3 (b) k (c) -6\/7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*x**3 + 56*x**2 + 11*x - 61804053.\nAnswer: -135*x**2 + 112*x + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/4 + 30\/(-25). Let u be 1 + 0 + (-1 - -1). Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 6*p**3 - 3*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 167367222.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Let t be -20*(-2)\/y*15. What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 920432\nAnswer: -2761296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:49 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/335 in 60, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4754361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -965*p*v - 3099*p - 4*v wrt v?\nAnswer: -965*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9971109 is divided by 24620?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 - (-32)\/1152. Which is the closest to t? (a) 2 (b) 0.28 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(2\/17)*w**12*w*w assuming w is positive.\nAnswer: w**(253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 452*b - 223*b - 458. Let z(u) be the third derivative of -1\/24*u**4 - 36*u**b + 0 + 0*u - 1\/30*u**5 + 0*u**3. Determine z(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(55) + sqrt(55)*-2)*1)\/(sqrt(99)*2 + sqrt(99) - (sqrt(99)*-1 + sqrt(11))))**2.\nAnswer: 180\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/15111 and -20\/6417?\nAnswer: 468441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -672, 5 in decreasing order.\nAnswer: 5, -5, -6, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (57\/2 - 2) + 1\/(-2). Let i = c + -24. Suppose i*u = u - h + 25, 5 = u - 4*h. What is the greatest common divisor of 147 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-225)\/(-20))\/9)\/((-4)\/32).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -0.4 (b) 3\/22 (c) 0.03 (d) 1\/2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 662122273 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 379282\/4547 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 17. Let l = 9 + -4. Let w = -2 + 4. What is the nearest to b in 1\/3, l, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 807*r**3 - r**2 - 8*r + 9. Let t be 22\/55*5\/2. Is x(t) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34585954 + 2493?\nAnswer: 34588447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, -2\/9, 0, 3020, 0.23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1990 and 0.2.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -43*y - 310. Give v(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*g*h**3 + 25950*g*h**2*k**3 - g*h*k**3 - 6865*g*h*k - g*k**2 + 80*h**3 - 386*k**3 - 1 wrt h.\nAnswer: 414*g*h + 51900*g*k**3 + 480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + 2.4. Let w = 10 - 5. Let r = -5.3 + w. What is the nearest to 0 in r, -1\/8, b?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017 is divided by 155.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 20 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzfzzzf. Give prob of sequence zfzz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**2 + 2307*f - 2308. What is h(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - d**2 - 9*d**2)*(-7*d + 0*d - 2*d)*(-5*d**2 + 7*d**2 - d**2).\nAnswer: 54*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, p: 1, k: 1, f: 9}. Give prob of picking 1 k and 1 f.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Let l(a) be the first derivative of 1653*a**2 - 632. Give l(o(d)).\nAnswer: 6612*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/18)\/(423\/369) and 7\/16.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 547. Let l(r) = -r + 539. Give -5*l(b) + 4*y(b).\nAnswer: b - 507","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769189805.\nAnswer: 5, 23, 43, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 7*c + 12. What is r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uapkrakaunu. What is prob of picking 1 r, 1 k, and 1 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 6*h**2 + 4*h**2 + 7*h**2 + 2*h**2 + 0*h**2 - 2*h**2 - 2*h**2 + 5*h**2 + h**2 + h**2 + 0*h**2 + (-h - 2*h + 5*h)*(0*h - 3*h + 4*h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 447514 less than 16?\nAnswer: -447498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-35) + 63\/5. Suppose 2*v - n = v + 510, 3*n - t = 0. Is v\/6 - 14\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**5\/3 - 209080*f**4\/3 + 27320308*f**3\/3 + 9176464*f**2 = 0. What is f?\nAnswer: -1, 0, 132, 52139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 135*h**3 - 4*h**2 - 8*h - 1. Let w(m) = -136*m**3 + 3*m**2 + 6*m + 1. What is 3*j(f) + 4*w(f)?\nAnswer: -139*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 780894827 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5835504 years to centuries.\nAnswer: 0.005835504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 2*q = -4, -17 = -y - 5*q. Suppose u + 3*u + 2*b - 42 = 0, -y*u - 3*b = -15. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2493340 (base 11) to base 9\nAnswer: -8118643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2655300 and 97\/3975.\nAnswer: 2655300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8003?\nAnswer: 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5 (c) 70 (d) 16 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, -5, 12095, 1 in decreasing order.\nAnswer: 12095, 96, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 v when three letters picked without replacement from mqvqvfvvv.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -70599*a**2 + 9*a - 10. Let s be j(-10). What is s rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20341968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 8:10 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/61740*-770)\/(((-6)\/15)\/((-14)\/(-10)))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10 = 4*r. Let k = 5 - r. Solve 0 + 6 = 3*b, k = 2*p - 2*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -7\/35159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 17*v**3 + 197*v**2 + 568*v - 51. Determine s(-3).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55270\/45 + ((-2)\/9)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 (base 9) in base 16?\nAnswer: -1fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -174, -177, -188, -213, -258?\n\"Answer: -o**3 + 2*o**2 - 2*o - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15076 is divided by 183.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 19 = 253. Solve 23*k - 9 = -d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 2*w + 3. What is the least common multiple of ((-468)\/182)\/((-3)\/14) and v(2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + 19b?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 5 + 1 - (sqrt(192) - (sqrt(192) + 1))**2.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -14\/45665805?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -24, -529.\nAnswer: -529, -86, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2382908 and 121.\nAnswer: 26211988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**3*v - 104978*u**3 + 28*u**2*v + 189*u*v + 2 wrt u.\nAnswer: 18*v - 629868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 1\/4, -3\/5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/33)\/(((-2625)\/(-3080))\/(-75)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)\/(2\/(-10)). Suppose -3*l = -0*l - 198. Suppose -3*i + f + 0*f = -40, 4*i - l = -w*f. What is the smallest common multiple of 2 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -195*i - 5502. Let w be g(-56). Calculate the greatest common divisor of 86 and w.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16) + (-2)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**3 + 2129*c - 12499 wrt c?\nAnswer: 6*c**2 + 2129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**4 + 21*x**2 - 219*x - 4. Let c(f) = -3*f**4 + 63*f**2 - 657*f - 11. Let p(v) = 4*c(v) - 11*l(v). What is the second derivative of p(a) wrt a?\nAnswer: -12*a**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -44. Which is greater: -32 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625505771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732220.\nAnswer: 2, 5, 31, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.486916 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1169, -4, 24, 0 in descending order.\nAnswer: 24, 0, -4, -1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -84, -111, -114, -81?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n**4\/7 - 1514*n**3\/7 + 49358*n**2\/7 + 50882*n\/7 = 0.\nAnswer: -1, 0, 247\/5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1410131961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhiciqdqlqqdih. What is prob of picking 1 c and 1 h?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*d + 136*d + 98 = 0. Solve 55*g + d = -158 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 + -2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005971 rounded to five decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/78 - 11*d**4\/156 + 2*d**3\/13 - 615*d**2. Factor w(i).\nAnswer: 2*(i - 1)*(5*i - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/5 + 139\/45. Let s = -1653393\/55 + 30061. Find the common denominator of s and i.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frhnfhnhufhhrhrhhfhr. What is prob of picking 1 f and 1 r?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 18*t - 3. Suppose 5*h + 0*n - 10 = 5*n, -4*h - n = -23. Suppose 0 = 3*j - h*j + 34. List the prime factors of k(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*r = 0, 9*v + 3*r = -301 + 331 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1433 - -1433.2099. Let l = 0.6494 - n. What is l rounded to two dps?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z + 75. Let u be d(-9). Suppose -2*t + 2*k + u + 48 = 0, 3*k = -6. Calculate the highest common divisor of 111 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49363 - -49366. Determine h, given that 1\/2*h**x - 5\/6*h**2 + 5\/6*h**4 + 0 + 1\/6*h**5 - 2\/3*h = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3\/4*h**3 - 33*h - 24 - 39\/4*h**2 = 0.\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -19*n**3\/6 - n**2\/2 - n. Calculate the remainder when 35 is divided by v(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -433 - -455. Let z be (-77)\/h*48\/98. What is the third smallest value in z, 0.3, 1\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b56 (base 15) to base 7\nAnswer: -36063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1641\/4 + -410. Which is the nearest to p? (a) -2 (b) -26 (c) -0.4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 67.80153 micrograms?\nAnswer: 0.00006780153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 15) + -1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934782 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxydyyxiyxxxryx. Give prob of picking 1 r, 1 i, and 2 y.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 4*-4*sqrt(88))\/(sqrt(96)\/(sqrt(84)\/sqrt(7))) - (2 + (2*sqrt(11)*1)**2 - (sqrt(44)*3 - sqrt(132)\/(sqrt(108) - sqrt(12)))).\nAnswer: -46 + 45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z - 4. Let i be f(7). Suppose -i*y = 5*s + 3 + 5, 0 = 4*y + 4*s. Find the second derivative of -b + 5*b**4 - 4*b**y + 4*b - 3*b**4 wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043 - 303133?\nAnswer: -302040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16 - (-6)\/(-40). Let k = 0.081 + -0.081. What is the nearest to 1 in 5, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32787 greater than or equal to 2\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3 + 6\/9)\/(-2). Suppose 5*b - b + 8 = u. What is the remainder when (-5368)\/(-56) - b\/14 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -12*k**5\/7 - 6892*k**4\/7 + 25772*k**3\/7 + 195548*k**2\/7 - 562176*k\/7 - 208080\/7 = 0?\nAnswer: -578, -5, -1\/3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25.83089mm?\nAnswer: 2.583089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 2*s**2 - 5*s + 6. Determine v(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/5916 + (-812)\/(-102)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3 - 7 + 3 + k + 2. Let d be f(-6). Which is the closest to 0.1? (a) -4\/5 (b) -1\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqmq when four letters picked without replacement from {q: 3, m: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 4*b + 3. Let l be h(1). Let z(i) = -i**3 + 5*i**2 - 6*i + 3. Let v be z(l). Solve -v*p = -14 + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 6982.17 to the nearest 10.\nAnswer: 6980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -261.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1174276 - -1174275.5400029. Let w = 0.473 + -0.933. Let l = n - w. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i**5 - 62*i**4 - 1276*i**3 - 1620*i**2 + 4086*i - 1134 = 0. Calculate i.\nAnswer: -9, -3, 1\/3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*o + 148 = 0, 0*c - 2*o = -3*c - 134. Let j = -22 - c. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:44 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 take away 6.26?\nAnswer: -37.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Let l = n + -2. Let s(r) = 2*r - 2*r**2 - 2*r + 2*r + r**3 + 2. What is s(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43821919.3 rounded to the nearest one hundred thousand?\nAnswer: 43800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 - 10*d + 170.\nAnswer: 4*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -947476 by -53.\nAnswer: 947476\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 701*y - 801*y. Solve -2*b = -84*l + 82*l, 4*b + 18 = -y*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 + 456*c + 924 = 0 for c.\nAnswer: -2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 8, -15.\nAnswer: -15, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2 - 4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 + 12 + 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 108\/7 - 6\/7*l**2 + 18\/7*l = 0?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 24*k**2 + 25*k + 38. Give n(23).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6401*g**5 - 66384*g - 1 wrt g.\nAnswer: -128020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90516363 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 577800, 577799, 577798, 577797?\n\"Answer: -f + 577801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/48)\/((-3)\/(9\/(-3))). What is the nearest to -4 in -2, 2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 + 4*y**3\/3 + y**2 - y. Let j be u(8). Solve 2*x - 9 + 0 = -a, 0 = j*a - 4*x + 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + j)*(2*j - 2*j + 2*j) + (40*j + 18*j - 4*j)*(2*j - 4*j + j).\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.07. Let l = u + -1.76. Let q = l + 0.01. Which is greater: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 53*x**7\/840 + 11*x**4\/3 + 23*x**3\/3 - 32. Let a(f) be the third derivative of t(f). Find the first derivative of a(y) wrt y.\nAnswer: 159*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 12.\nAnswer: 12.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -423 + 834 + 20*h - 410 + 10*h**2 to a + u*h**2 + f*h and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1547.6 and 91.\nAnswer: -1456.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-35) + (-2)\/(-5). Which is the third biggest value? (a) y (b) -0.2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2258.6 and -543815.\nAnswer: -546073.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokkxooxooxkxkookk. Give prob of picking 2 k.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3)\/((-13)\/(-21) - (-4)\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**3 - 8*u**2 - 14*u**2 + 19*u**2 to c*u**2 + h*u**3 + w*u + p and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 496, 1112, 1974, 3082?\nAnswer: 4436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 9. Suppose 0*o - 44 = -5*o - 2*l, 3*l = -5*o + 46. Let g(j) = -13 + o + j + 5. What is u(g(f))?\nAnswer: -f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61725580 or -61725578?\nAnswer: -61725578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Let x(f) = 2*f**2 - 3*f - f**w - 12 + 6*f**2 + 6*f. List the prime factors of x(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-990))\/((((-2)\/3)\/(36\/27))\/3)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4416 is divided by 316.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 17*v - 85. Let y(b) = 5*b**2 + 86*b - 427. Let q(l) = -11*d(l) + 2*y(l). Let s be q(-19). Solve 23 = g + s*x - x, 0 = -2*g - 3*x + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2617*p**2 + 109*p + 14. What is the hundreds digit of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 9. Give o(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22580 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 2*n. Suppose 0*r = n*r + 220. Let x be (r\/66)\/(2\/(-15)). Solve -a - x = -1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -10574.\nAnswer: -10571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 2. Let j(o) = o - 2. Let x(v) = 5*j(v) + 6*n(v). Let r be x(2). Suppose 4 = -3*z + 4*z. Solve -z = p - r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2. Let l(x) = 5*x**2 + 2*x + 16. Let i(f) = -5*l(f) - 35*n(f). What is the second derivative of i(j) wrt j?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*v = -70, 0 = -3*m + 2*v + 27 + 5. What is the greatest common factor of 24 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*f + 2*f + 2*f)*(0 + 0 + 2*f**3) + 33*f**4 + 7*f**4 + 10*f**4 in the form x*f**2 + z*f**4 + w*f**3 + o + l*f and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 9*t**2 - 9*t + 12. Let c be v(-10). Suppose -c*a - 12 = -6*a. Calculate the lowest common multiple of a and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*t + 3961 = 80*t - 1607. Suppose -3*v = -9 - 327. What is the greatest common divisor of v and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 20255.6.\nAnswer: -10127.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1331 + 1479. What is the remainder when l is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-243)*(-6)\/(-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 37, 50, 59?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 140*n + 1523. Calculate the least common multiple of x(17) and 650.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92.1 - -92. Which is the closest to l? (a) -1 (b) 34 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*p + 4*j, 3*p - 105*j + 103*j = 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 7) + -1 - (2 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*z - 6 + 3*z**2 + 16 - 363*z**4 - 5 + 71*z**4 to b*z**2 + l*z**4 + d*z**3 + m + p*z and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 502 = -3*p - 3*j, -305 = -3*p + 2*j. Suppose 4*m - 2*y + 55 = 189, -73 = -2*m - 5*y. Calculate the remainder when p is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -19. What is the closest to 2 in 4\/5, 3\/16, g?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1202211?\nAnswer: 1202203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113660471267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 11*u + 40*u + 48*u.\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 17 - j**2 - 2\/45*j**6 + 0*j + 2\/5*j**5 - 35\/24*j**4 + 49\/18*j**3. Factor k(t).\nAnswer: -(t - 1)*(4*t - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 3. Let q(s) = -24*s + 21*s + 1 - r*s**3 - 3. Calculate the least common multiple of 3 and q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17989?\nAnswer: 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19*t + 476. What is n(36)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 4\/3 (b) -2\/9 (c) -1\/7 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -5*h - 3*i, -h - 2*h - i = -340. Let u = h + -115. Let y(j) = j**3 - 8*j**2 + 7*j - 6. Let l be y(7). Put -4, l, u in descending order.\nAnswer: u, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -61207 + 1 + 5. Round f to the nearest one thousand.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-21))**(-5\/6)\/(y**(3\/11))**(8\/7))**45 assuming y is positive.\nAnswer: y**(119115\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55242*d**5 + 22*d**2 + 2*d - 1810 wrt d.\nAnswer: -3314520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12) + (-25 - -26)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161223055?\nAnswer: 5, 7, 73, 89, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -176944161.\nAnswer: -4\/176944161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3098\/11 (b) 3 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 6*u)*(-219*u + 44*u + 51*u + 21 + 42*u + 39*u) in the form c*u + m*u**2 + l and give c.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 + 3*z + 9. Let w be 1\/(-2) + (-95)\/38. Let d be m(w). Calculate the greatest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1105, 1, 3 in decreasing order.\nAnswer: 3, 1, -4\/7, -1105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1289, -1279, -1211, -1055, -781?\n\"Answer: 5*k**3 - k**2 - 22*k - 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -5892451?\nAnswer: -5892451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**2\/2 + 9*x + 2. Does 2 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-390)*(11 + 6 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2554*y + 696320 = 2571*y. What is the ten thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236017*i**2*w**4 - 1078066*i**2 with respect to w.\nAnswer: -944068*i**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrmymmmrrr. Give prob of sequence ym.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2189 and 1529?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 50*z**2 + 16*z - 292. Calculate a(2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Let v = g - 6. Let w(x) = -x**3 - 6*x**2 - 7*x - 1. What is the units digit of w(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -68*q + 13. Let c(u) = 82*u - 13. Let l(s) = 5*c(s) + 6*g(s). Let x(h) = 2*h**2. Let f(j) = -j**2. Let z(d) = 4*f(d) + x(d). Calculate l(z(k)).\nAnswer: -4*k**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -49, -1 in increasing order.\nAnswer: -49, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253039.\nAnswer: 173, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 18. Let d = 39 + -31.9. Let w = d + h. Put 5, 3, w in ascending order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 10 + -5 + -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 224883073 divided by -2\nAnswer: -224883073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 74681439.\nAnswer: 74681438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/7 - -2\/21. Let d = 5.12 + -0.12. Sort d, 2, z.\nAnswer: z, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74725296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(5\/6)*o*o))\/o**(10\/13))\/((o\/(o\/o**1))\/o*o**(-10\/9)) assuming o is positive.\nAnswer: o**(-349\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 0.1 (c) 14299\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 1. Let h be j(1). Let l be ((-6)\/(-9))\/(h\/9). Solve 2*c - l*m = -7, 0 = 5*m - 17 - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.66 - -15.79. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 + 72 + 161)*(0*k**4 + 2*k**4 + k**4) as r + p*k**4 + m*k**2 + g*k + w*k**3 and give p.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -30, -4.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*1\/(-180)*325*12\/90.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 0*j + 6*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Suppose t = -a + 7. Suppose 3*g**4 - 5*g**4 + 6*g**5 - 1 + 8*g**2 - 6*g**a - 5*g**4 = 0. Calculate g.\nAnswer: -1, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttthhppp. What is prob of picking 1 h and 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 133*x**5\/5 - 19*x**3\/3 + 19*x**2 + 142*x + 3. Let r(a) = 41*a**3 - 3*a + 3. Calculate -3*i(f) + 38*r(f).\nAnswer: -38*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01685271067 to five decimal places.\nAnswer: -0.01685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-366)\/366*1*(-2)\/46).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 10*j**2 + 2*j - 15. Calculate t(9).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -43*w**3\/6 + 78*w**2 - 12*w + 6. Does 33 divide i(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(630) + sqrt(630)*1*4)\/sqrt(10))\/(((sqrt(270)*-2)\/sqrt(6) - sqrt(45))\/(1*sqrt(5)*1)).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 - (-2)\/3. Suppose -3*y = 4*m - 75, 2*m + y + 2*y - 45 = h. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 0.5 (c) -8634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174.74 + -178.5272. What is b rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 25. Let i be j(14). Let y(m) = m**2 - 16*m - 6. Let n be y(i). What is the highest common factor of n and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywen when four letters picked without replacement from eeenenwynynw?\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 4*j**2. Let r(i) = -3*i**3 + 7*i**2. Calculate -5*d(l) - 3*r(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75015 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 367, 368, 369?\n\"Answer: z + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and -22083?\nAnswer: -1589976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3 + f + 2 + f + f**3 - f**2 - 4*f**2. Let g be v(4). Let r be ((-25)\/(-5) + -70005)\/(1\/g). Round r to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213.8 + 210. Let r = 6.8 + v. Sort r, 0.6, -2\/13 in increasing order.\nAnswer: -2\/13, 0.6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-51)\/2)*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -2*a, 3*r - 1 = 2*r. Factor z**a - 1\/4*z**3 + 0 - z**4 + 1\/4*z.\nAnswer: -z*(z - 1)*(z + 1)*(4*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -382.98 + 377. Let r = -0.02 + s. Let p = r + 4. What is the closest to p in 0.4, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21458587 by 189899.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/3)\/((y\/y**0)\/y*y) assuming y is positive.\nAnswer: y**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*i - 17 - 24, -i - 19 = -3*d. Which is the second smallest value? (a) d (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/7 - 3970*b**4\/7 + 11866*b**3\/7 + 51634*b**2\/7 - 202236*b\/7 + 142704\/7 = 0.\nAnswer: -4, 1, 3, 1982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/(-119))\/((-96)\/224)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 - i + 3*i - 2 + 3*i**3 - i**4 as l*i**2 + j*i**3 + t*i**4 + y + q*i and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 51*d**4 - 90*d**3 - 27*d**2 + 39*d + 27. Let i(y) = -4*y**4 + 7*y**3 + 2*y**2 - 3*y - 2. Let t(g) = 27*i(g) + 2*z(g). Factor t(m).\nAnswer: -3*m*(m - 1)**2*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 9741 - 7276. What is the highest common factor of a and 204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let y(k) = -1910*k + 11. Let i(g) = -953*g + 6. Let p(d) = 11*i(d) - 6*y(d). Determine x(p(v)).\nAnswer: -977*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -q + 5*y, 0*y + 3*y + 3 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180345 is divided by 45078?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -498 - -704. List the prime factors of b.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 96.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from iiiiiiiiidiiidiidiii?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16029701.4 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 88408 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 84 = -7*u. Suppose 25*c - 352 = u*c. Solve 0 = 5*g - g - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.41503 millilitres?\nAnswer: 0.08541503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.05035cm in kilometers?\nAnswer: 0.0004205035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -131\/255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-147)\/28)\/(3\/(-8)). Let a = -7 + q. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 8. Let b(s) = -2*s - 2. Let m be b(2). Let g be o(m). What are the prime factors of -2 + g*1 + 16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from usduuldussudssdsdsdu.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {o: 3, m: 4, t: 2, e: 2, h: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1576735\/8 - -197433. Let j = b - 341. Put 6, -0.2, j in decreasing order.\nAnswer: 6, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k - 2*g = -15, 2*k + 2*g - 6 = 0. Let d = 0 + k. Let z(h) = h + 1. Let n be z(d). Put 0, n, -5 in descending order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 + 546 - 227 - 96 - 8*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*f - 29, p + 1 - 5 = 2*f. Let s be (-3)\/(p\/1)*-8. Let l be -2 + s + (-21)\/3. Put -0.1, 1, l in decreasing order.\nAnswer: 1, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24174 and 306?\nAnswer: 24174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 1. Let d be t(-2). Let j(i) = -3*i**3 - 2*i**2 + 1. Let n be j(d). Suppose w = n*w - 43. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 25*a**2 + 21*a + 4. Let y be w(6). What are the prime factors of (y\/(-25))\/(2\/(-20))?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-20)*(-40236)\/(-7185).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*i + 27, -4*i + 18 = -3*p - 16. Let n(f) = 76*f**3 + 1. Let r be n(1). Calculate the greatest common factor of i and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 28.96. Let o = x + -0.14. Let j = -0.71 + -0.29. What is the closest to o in 4, j, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3969885?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**3 - 350*a**2 - 237*a + 140. Give m(59).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/120 and -191\/40170?\nAnswer: 160680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952 divided by -737144.\nAnswer: -119\/92143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k - 3 - 12*k**2 + 3 + 14*k**2 in the form y + s*k**2 + r*k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.3, -26, 2, -3, 1\/4 in descending order.\nAnswer: 2, 0.5, 1\/4, -0.3, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5034255 (base 7) in base 13?\nAnswer: 17b93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 - 128849.41\nAnswer: -128843.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 417590, 14 in ascending order.\nAnswer: -5, -2, 14, 417590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472 by 59.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/8)\/((-4)\/(-16)). Let r(k) = k + n*k - 9*k. Let p(i) = i**2 - 1. Let g(o) = 2*o**2 + 5. Let j(x) = -3*g(x) - 15*p(x). Determine j(r(z)).\nAnswer: -189*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.145133 nanometers in kilometers?\nAnswer: 0.000000000002145133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16139177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by 75?\nAnswer: 92\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15072, 120657, 407246, 965343, 1885452?\nAnswer: 3258077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-18))\/(5\/10) + (-3840)\/(-17040). Suppose 2*m = -m - 3. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1161.6627.\nAnswer: 4646.6508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - 16\/7. Let h = 361 - 365. Which is the closest to 2? (a) d (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**3 + 4*l**2 + 14*l - 8. Let x(p) = 4*p**3 + 3*p**2 + 9*p - 5. Let o(c) = 5*k(c) - 8*x(c). Factor o(w).\nAnswer: -2*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 4*f + 3*f - 6*f**2 to the form w*f**2 + o + j*f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 8*g**2 - 3*g - 13. Let x be n(-7). Suppose -x*w = -50*w - 77. Calculate the lowest common multiple of w and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1 + 2*h - 17 + 23 + 6*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2235388?\nAnswer: 2, 19, 67, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-4) - 140\/560?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 257 + -6 - 3 - -7. Let k = -118 + w. Which is smaller: k or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 - 4*l**3 + 5*l**2 + (1 + 4 - 4)*(2 - 4 - 2)*(4*l - l + 0*l)*(-l**2 - 3 + 3).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*2*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c + 12. Let m(r) = -9*r - 8. Let h(i) = -5*a(i) - 8*m(i). Suppose -2*o - 25 = 5*y, y - 3*o + 3 = 15. Determine h(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + (-192)\/9. Are f and -20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 2*t + 2. Let d(f) = f - 1. Let o(h) = 7*h + 41. Let a be o(-9). Let z = 20 + a. Suppose 0 = 2*i + 4 - 2. Determine i*u(v) + z*d(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2876?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188 and 0.27392?\nAnswer: -51.49696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 1 - 11. Suppose -o = -v*j - 10, -10 - 8 = -o - 3*j. What is the remainder when o is divided by (-1 + 7)*(-8)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101078 by 230.\nAnswer: -50539\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -205, -438, -661, -868, -1053, -1210, -1333?\n\"Answer: i**3 - i**2 - 237*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 2, i: 1, l: 2, g: 1}. What is prob of picking 1 l, 1 i, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 bigger than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 23. Let r be v(-7). Is 11 a factor of (-88)\/r*(11 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*n - 830 + 11 + 288 = 1059 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Suppose -u - 7 = 5*a - b, 4*a = -8. Suppose u*l - 6 = -v - 2*v, l + 18 = -5*v. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 1 - -3 - 9) + -11 + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12370259 is divided by 951555.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 66. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 25678*w - 205422. Let p be v(8). Solve 3*l**3 + 3\/2*l**4 + 0*l + 0 + 3\/2*l**p = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -132063?\nAnswer: 4\/44021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -58. Let z = f - 10. Calculate the remainder when 67 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, -2\/51, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -931274, -1862555, -2793836, -3725117?\n\"Answer: -931281*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 93 + 111*i - 48 - 46 as y*i + h and give y.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 18*r - 16*r + (0*r - 5*r + r)*(0 - 11 - 1) to the form t + x*r and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*l = -8, 3*l + 153 = -5*o + 121 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.79 - -0.21. Let f = 13 - p. Let u be 2\/11 - 0\/(-2). Which is the nearest to -0.1? (a) -0.4 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 8 - 0 - 3) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -29*s - 195. Let d be r(14). Let m = -331 - d. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 7*s**2\/4 + 49*s\/4 + 343\/4.\nAnswer: -(s - 7)*(s + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16914 - 5293. List the prime factors of m.\nAnswer: 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 + 0)*(-4)\/4. Suppose 0*h - h + 11 = 2*a, 2*a - 23 = 3*h. Let n = z - a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqe when four letters picked without replacement from dqqeqdq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.4 + 37.3. Let i = 51\/2 + -26. Which is the nearest to f? (a) -3 (b) 5\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1827933 is divided by 913962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 250, 376, 504, 634?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 418\/33745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/5, 0.0966, -0.02, -43?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.58400491 - -0.584. What is n rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 1\/4, 2\/127, 1\/6?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.4, -12, -0.08, -1\/45, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 - -12923. What is the remainder when g is divided by 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*z + 5 = 0, z + 26 = 4*c + 4*z. Suppose -4*u - 3*n = -44, -n - n - 24 = -4*u. Let l = 10 - u. Calculate the greatest common factor of c and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 502422670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20052 and 232?\nAnswer: 1163016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1*5 - (-2*sqrt(77)*5 - sqrt(77)))\/((sqrt(396)\/sqrt(9) + sqrt(44))*-4))**2.\nAnswer: 63\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 4*j**2 - 3*j**2 + (968 - 37*j - 968)*(-j + 8*j + 10*j) to the form v*j + b + n*j**2 and give n.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266442 or -266190?\nAnswer: -266190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 14 = -t, 0 = 3*d - 0*t + t - 32. What is the lowest common multiple of d and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 + 74. Sort 7, 9, j.\nAnswer: j, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*q = -174*q - 3062 + 8793 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + -2 - (2 + sqrt(108))**2.\nAnswer: -113 - 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 4:17 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-1 - (-6)\/9) + (-361)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390582, -781195, -1171808, -1562421, -1953034?\nAnswer: -2343647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1787*p**5 - 15*p**2*v - 2*p*v + 2086*p - 58 wrt p.\nAnswer: -35740*p**3 - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382147253.\nAnswer: 3, 163, 509, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*z, -2*z + 3*v = v - 12. Let a be ((-1)\/(1 - 0))\/z. Let y = 30.9 - 29.9. Do y and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3365835 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: Let y(l) = 14*l. Calculate y(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 866677428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5655490044 by -3.\nAnswer: 1885163348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 less than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -7*r. Suppose 8 = -2*o - r. Let b(k) = 2 + 2 - 2*k + k**3 + 1 + 3*k**2. What is b(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 5, 34, 97, 206?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5585 is divided by 266.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (33739\/(-2) + 0)*(294\/7 + -44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 + b + 1. Suppose -5*o - 5 = -2*g - 27, -o + 9 = -5*g. Let a be m(g). Let s = a + 7. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 27.9999981. What is v rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*2 - sqrt(190))*-3)\/(sqrt(30)\/sqrt(3)*-3).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - -7) + (-148)\/25.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 32396*y - 18. Let x(a) = -5*a. Calculate x(f(l)).\nAnswer: -5*l**2 + 161980*l + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 177 + 23. Let t = 16 + -5. Calculate the remainder when 5*((-8)\/(-32) + 334\/j) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/5)\/(-2)*9\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(63)*-2)\/sqrt(3) - (sqrt(126)\/sqrt(2))\/sqrt(3))\/(2*(sqrt(363) - (-1*sqrt(363) - sqrt(363)))) + 5.\nAnswer: sqrt(7)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -902895005 - -902708727.6513. Let z = 186429.3487286 + j. Let b = z + -152. Round b to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27413 - 2*b + 0*b + 4*b - 4*b.\nAnswer: -2*b + 27413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 + 10 = 2*l, 0 = 2*z - 5*l + 11. Suppose z*a - a = 4. Solve 0 = 2*y - 6*y, a*k - 4*y - 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*y = -5*b - 33, 4*b - 3*y + 8 = 0. Let j(z) = z**3 + 6*z**2 + 8*z + 4. Give j(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -17, 2 in decreasing order.\nAnswer: 2, 0, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (-3 + -5)\/4. Suppose g*y + 168 = 588. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 + 123. List the prime factors of 22\/(-33)*(s + 78\/(-2)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/45 and (-19823)\/(-2580) - (-4 - -9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/((-20)\/5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 148 + 69*h**2 - 117 - 148 - 68*h**2.\nAnswer: h**2 - 497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1 + 0*y - 2*y + y. Let a(l) = 4*l - 3. Let k(n) = -a(n) - 5*u(n). Let t(v) = -v + 1. Let f be t(-2). Determine k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52269)\/(-1572))\/((-57)\/(-2)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(63)\/sqrt(7)) + sqrt(304) + -1)**2.\nAnswer: -10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -7?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 3 (b) 1 (c) 1206\/11 (d) 16 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-489)\/(-180) - (-17)\/(17\/(-4)) and 71\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 15274.\nAnswer: 15278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116302 times -2830?\nAnswer: -329134660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3464050 - 5?\nAnswer: -3464055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**2 + 12*n + 18. Let m(f) = 19*f**2 - 25*f - 35. Let u(y) = -13*h(y) - 6*m(y). Suppose u(o) = 0. What is o?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 475131594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 - 61. Suppose -2*p + 17 = f, 3*p = -2*p - 2*f + u. Solve 0 = -3*x + p*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -98. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 36 (c) -3\/4 (d) -0.1 (e) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1225 + 23326?\nAnswer: 24553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 738.87535 rounded to zero decimal places?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 - 14*f**4 + 1 - 16*f + 10*f to i*f**3 + g*f**4 + l*f + u + q*f**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*k = 200*k - 32. Suppose -4*p + f = -43, 2*p - 4*f - 28 = -2*p. Suppose -2*n - 4 + p = 0. Calculate the lowest common multiple of n and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 29*x - 29, 3*x + 2*x + 8*s + 0*s + 7 = 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 2 + sqrt(125))*-4 - ((sqrt(160)\/sqrt(4))\/sqrt(8) + 0 + ((0 + sqrt(5))**2 - sqrt(5))).\nAnswer: -40*sqrt(5) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**4 - 7*v**4 + 1 + v**4 + v + v**3 - 2 as p*v**4 + i*v + s + l*v**2 + u*v**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4799 - -4801. Let r(o) = -o**2 + 4. What is r(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216 - 1946\/9. Which is the nearest to -12\/5? (a) m (b) -2\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1178985 and 195?\nAnswer: 15326805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/7 - 474*x**4 - 1699636*x**3\/7 - 183482924*x**2\/7 + 44363563638*x\/7 + 44545350242\/7 = 0.\nAnswer: -589, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 66. Let n be y(0). Let f be n\/10 + (-8)\/20. Let g = 77959 - 77967. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29426 divided by -1\nAnswer: 29426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 1329007.\nAnswer: 1329002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 50*d**2 - 3*d - 22. Is f(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 1 j when three letters picked without replacement from {t: 12, e: 2, j: 2, s: 1, r: 2}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, b: 3, r: 3}. What is prob of sequence rr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*39\/(-30) + (-12)\/(-30). Solve 5*a = 3*m + w*a + 1, m = -5*a + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 3.9. Let q = 4 - n. Let v = -2.4 - q. Put -2\/9, v, 4 in descending order.\nAnswer: 4, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2. Let b(a) = a**2 - 31*a + 26. Let g(x) = -b(x) + 3*k(x). What is the tens digit of g(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24113102 (base 5) to base 7\nAnswer: -1615601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 3*d + 2*d + 1. Let v(q) = -4*q + 1. Suppose 2*r = -15 + 23, 0 = 3*u - r - 101. Suppose u = 61*l - 66*l. What is l*v(h) + 6*j(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 - 2*m - 8. What is l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/9)\/(2\/6). What is r in -3*r - 3 - 18*r**5 + r**4 - t*r**4 + 6*r**2 + 15*r**5 + 6*r**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6867*l**2 - 130480*l - 43. Give p(19).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 334\/3)*(-168)\/(-70)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*z + 1 + 43 + 48 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -18*m**2 - 23. Let x(o) = o**2 - 1. Let t(n) = 3*x(n) - y(n). Differentiate t(d) with respect to d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Suppose -w*q + 3 = -17. What is the tens digit of -4 + -2 + q - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s + 334. Let r(y) = -7*y + 336. Determine -6*d(z) + 5*r(z).\nAnswer: z - 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1261 = 6*x + 275. Let y = x + 358. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 57.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t**3 + 0*t**4 + 0*t + 1\/30*t**5 + 0 - 8*t**2. Let r(j) = -2*j - 8. Calculate r(k(h)).\nAnswer: -4*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 82119496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6784\/(-864) + 48\/(-324)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*g = 9*g - 51, -v - g + 18 = 0. Suppose v*j - 4143 = 4692. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -5, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -320815 - -4488403\/14. Let b = l + 1248\/7. Find the common denominator of b and (-228)\/33*2\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/13 and 137\/39288.\nAnswer: 510744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-5))\/(15\/25). Sort b, -2\/13, 3 in decreasing order.\nAnswer: 3, -2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2529555 and 161\/13731870.\nAnswer: 96123090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 47*i + 112 = 0. Which is the fourth biggest value? (a) -0.4 (b) i (c) 0.3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465570*c + 887*c**3 - 465570*c.\nAnswer: 887*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -1\/30*s**6 + 0*s + 1\/3*s**3 + 1\/10*s**5 + 5\/24*s**4 + 0 + 13*s**2. Let t(q) = q**3 - q**2 - q. Determine -j(g) - 5*t(g).\nAnswer: -g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4143572 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35000 and 720000?\nAnswer: 5040000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 + -117. Suppose -2*a + 85 - 31 = f. Calculate the remainder when 52 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 3*o = -86, 5*o + 42 = 3*a. Suppose -12*c + 77 + a = 0. Calculate the remainder when 1\/(-3) - (-70)\/3 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14889525.\nAnswer: 3, 5, 7, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4)*t*(t*t**(-3\/8)\/t)\/t)**(-40))**(-44))**22 assuming t is positive.\nAnswer: t**(-169400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 - 15*q + 33. Determine f(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let m = -8 + 18. Let t = 40.9 + -41.9. Which is the second smallest value? (a) m (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -88*l - 3599. What is p(-41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86906317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from {o: 1, w: 11, r: 7}.\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 86 = -470. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-10))\/(463\/(1053325\/1560))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(1 + 0)*1. Let c(f) = -f**2 + 6*f + 20. Let w be c(8). Put h, w, -3 in ascending order.\nAnswer: -3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*d + 20, -2*h + 36*d = 31*d + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3252, -13183, -29768, -53037, -83020, -119747, -163248?\n\"Answer: -5*c**3 - 3297*c**2 - 5*c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - q - 5. Calculate the remainder when 45 is divided by s(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221133332302 (base 4) in base 6?\nAnswer: 1025101134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*r - 8, -5*a - r = 2*r - 10. Suppose -4*s = -a*q - 21079996, 2*q - 2*s - 31620002 = 5*q. Round q to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 - -173. Calculate the greatest common divisor of x and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (-2*sqrt(96))\/(4*sqrt(6)\/sqrt(3))*-5)*2*-3.\nAnswer: -60*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 7. Let o(j) = -j + 1. Let g(z) = 6*o(z) + s(z). Let c = -326 - -326. What is g(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(13)*-1 + -2)*-3.\nAnswer: -9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788844.5 milligrams to kilograms.\nAnswer: 0.7888445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 0*p**4 + 6*p**4 + (-23*p + 11*p - 13*p)*(0*p**2 + 0*p**2 + p**3) + p**3 - p**3 - p**4 in the form d*p + o*p**3 + y*p**4 + v*p**2 + x and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/24*(-387)\/(-3) and -15\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -47*p**4\/4 - 23*p**3\/3 - 7*p**2 + 2. Let o(q) = -16*q**3 - 8*q**2 - 5*q. Let m(y) = 17*o(y) - 6*t(y). Calculate m(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8476457280?\nAnswer: 2, 3, 5, 37, 238639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 533922 and 6371805.\nAnswer: 5037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91484 is divided by 824?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 5*p = -11*j + 366, 4*j - p - 358 = 0. Let c = -54 + j. Calculate the lowest common multiple of c and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10071*k - 1. Let v = -42 - -38. Let z be c(v). Let s = 81283 - z. What is s rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4272 is divided by 1374?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*d**2 - 24652*d**3 + 12316*d**3 + 3*d + 1 + 12315*d**3 to the form f + v*d**3 + t*d**2 + s*d and give t.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:23 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:29 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 4. Let g be a(4). Suppose 6*r - 22 - g = 0. Let w(b) = b**3 - 5*b**2 - 5*b - 5. Calculate the least common multiple of r and w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 8422529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0 + 0 - 11*d + 91*d - 7*d - 3*d + 2*d - 3*d + (-4 + 2 + 1)*(1 - 1 - 2*d))*(-1 - 5 + 5).\nAnswer: -74*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 141809 (base 12) to base 2\nAnswer: 1010001101101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -245, -301, -357?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6*c - 25. Let q(s) = c - 4*s**2 - s - 5 + 11*s**2. List the prime factors of q(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*x - 2*o + 77, -4*x + 2*o = 134. Let w = x - -32. Is 109 - (3 + 12\/w)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201255?\nAnswer: 3, 5, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 536855 divided by -2497\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-1)*d)**(2\/25))**49*((d*d**(-2\/3))\/d**(-1\/7))\/(d**(-1)*d**(4\/5)) assuming d is positive.\nAnswer: d**(4471\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*y - 73, -h + 20 = y - 4*h. Suppose -28*j + y*j = 55. Let d = 22 + j. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0612 and 5.684.\nAnswer: -0.3478608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86431579 minus 40692?\nAnswer: 86390887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3252 + -3016. Let s be 4\/10 - (-172)\/20. Suppose -11*w + s*w + u = 0. List the prime factors of w.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -237 and -0.24.\nAnswer: 56.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 340e00 (base 15) to base 6\nAnswer: 125122543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12)*t**(1\/22) assuming t is positive.\nAnswer: t**(-263\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 15*n + 8. Give l(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-176)\/(-24))\/(-22))*1\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohhhfho. What is prob of picking 4 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6404 and -2?\nAnswer: -12808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 6*a + 8. Suppose -9 = -5*d - 34. Suppose -56 + 1 = -3*l - w, -4*w = -l + 14. What is the remainder when x(d) is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -1\/6*h**3 + 0*h**2 + 5*h + 1\/6*h**4 + 4. Let k(y) be the first derivative of f(y). Find the second derivative of k(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 - -174. Let m = -31 - -31. Sort m, 10, t.\nAnswer: m, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (sqrt(98) - ((sqrt(98) + 1)*-1)**2) - (1 + sqrt(98) + 2)**2)*4.\nAnswer: -824 - 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 10. Let j(c) be the third derivative of -5*c**4\/12 - c**3\/3 - 2*c**2 - 1314. Calculate f(j(v)).\nAnswer: -30*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6570477 + 6.6603. What is r rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-3)*((-4)\/(-10))\/((-215)\/((-258000)\/(-160))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -59, 3, -11, -2, 1, 4.\nAnswer: -59, -11, -2, 1, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24 - -3*2\/(8\/(-4)). What is the greatest common divisor of 91 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d3b (base 15) to base 4.\nAnswer: -2120003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/2 + -31\/14. Let k(l) = l**3 + 4*l**2 - l - 8. Let o be k(-4). Suppose -2*p = -p. Which is the nearest to p? (a) r (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42367, -42346, -42321, -42292, -42259?\nAnswer: -42222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 110 - 113 = 0. Find the second derivative of 125*b + 133*b - b**j - 7*b**4 - 3*b**2 + b**3 - 8*b**2 wrt b.\nAnswer: -84*b**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:06 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 17*x - 0. Solve x*i = 18*i - 80 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362178104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/819 and 163\/126.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 70 - 28 - 2312*g - 16)*(2 - 2 + 3*g).\nAnswer: -6936*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.17, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1891, -7490, -16821, -29884, -46679, -67206?\nAnswer: -91465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-9)\/24*7\/987*47.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109691871.\nAnswer: 3, 17, 2150821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 363, 884, 1615, 2556, 3707, 5068?\n\"Answer: 105*w**2 - 4*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*i = -2*m - 13, i - 1 = 0. What is the closest to 1\/5 in m, -4\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 10. Let c be b(7). Suppose -6*u = -u + 15. Suppose -62*n = 173*n - 235. Sort u, n, c, 5 in descending order.\nAnswer: 5, n, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s - 26. Let b be i(5). Let h be b - (-4 - (2 + -1)). Solve -11*q = -h*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 28*b + 30*b + 33*b - 91*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 4100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*g + 4*f, g + 3*f - 15 = -0*g. Suppose 0 = -5*q - 4*b + 22, -2*b = -6. Solve -z + 4*o = 18, g = q*z + 3*o - 4*o + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101313, 100715, 100117, 99519, 98921, 98323?\n\"Answer: -598*h + 101911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 1. Let y(z) = -2*z**2 - 6*z + 3. Let b(p) = -5*p**2 - 18*p + 10. Let w(d) = 3*b(d) - 8*y(d). Let s be w(5). What is r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 37, 94, 193, 346, 565?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 3. Let h be b(-4). Suppose 538 - 574 = -12*m. Solve -m*p = -h*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -524*h**5\/5 - 369*h - 261. Differentiate x(j) with respect to j.\nAnswer: -2096*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9779173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.9 + -12.791. Let w = 23.109 - v. Are w and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + h. Suppose 5*z + 2*g - 20 = 2*z, 2*z + 5*g = 6. Suppose b = 5*b + z. Sort h, b, -1 in descending order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 6:14 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1125)*-1)\/((sqrt(54)\/sqrt(3) - sqrt(18))\/sqrt(6) - sqrt(3)))\/((3*sqrt(25)*1)\/(sqrt(560)\/sqrt(7))).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/350)\/((-560)\/1960)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*r + 8, -5*w + w = r. Suppose 0 = -s + 5*f + 12, s - f = f + 6. Suppose -s*l - 494 = -4*p, r*p - 4*l = 7*p - 376. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 0 (c) -2\/3 (d) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49274644.\nAnswer: 2, 757, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0 (c) -0.06 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1355 times -3.6\nAnswer: -4878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2590 + 2590 + 404725*x - 404696*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 909 - 167. Suppose 6*j - 3*j + 450 = 3*a, -5*a - 3*j + o = 0. Suppose 6*c - 37 = a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 8:57 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*w + 5*q, -4*q + 11 + 13 = -w. Let d(l) = -12*l + 47. What are the prime factors of d(w)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4446647 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**3\/3 + 652*a**2\/3 - 201284*a\/3 + 585276 = 0. Calculate a.\nAnswer: -323, 9, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 976656 = 75*z - 9981530 - 2624539. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-5) - (15 + -9)*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Suppose x + 3*x + 200 = a. Let v = -35 - x. Solve v = -0*q - 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*r - 6*r + 252, -5*r = 2*a + 145. Let n = a - -83. Let g = 9 - 7. Solve 26 = 5*s - 2*q + q, -n*s = g*q - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from qcbbcskkckzzcbsbz?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(2 + (-1)\/1). Suppose 4*o + 11 = 5*y, y + 12 = 6*y - 3*o. Suppose -m*f + 527 = -y*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20644, -20639, -20634, -20629, -20624?\nAnswer: -20619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 134869 (base 12) to base 6\nAnswer: 10501413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134606935 a multiple of 1205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23524295.\nAnswer: 5, 4704859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2 + 2*r + 2*r**2 + 2 + 3*r - 4*r. What is the remainder when (-736)\/(-12) - ((-22)\/6 - -4) is divided by p(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**38*y)\/(y\/y**(1\/35)*y)*(y\/(y\/y**(-8)))\/(y**10\/y) assuming y is positive.\nAnswer: y**(701\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*j + 21 = 0, 3*j = 2*j + 3. Let z(k) = k**2 + 4*k - 3. Let a be z(l). What is the units digit of 10\/(6*3\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3046843.\nAnswer: 103, 29581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/15 - (-8)\/6. Let a(c) = 0*c**q + c - 3*c**2 + 27*c**3 - 15*c**3 - 2. Is 19 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011303 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:09 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + -441?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.26071 - -5.26071. Which is the closest to 1? (a) j (b) -30 (c) -0.05 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11320547487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -261, -811, -1851, -3543?\n\"Answer: -27*c**3 - 2*c**2 - 27*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2535*h = -5166*h + 52620 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1119583 and 514403.\nAnswer: 19032911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**3 - 25*d**2 - 40*d + 60 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 474*l**2 + 2*l. Let j be q(2). What is j rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/14*(-14)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**2\/h*h))\/h**(-2))\/(((h**(-7)\/h*h)\/h)\/(h**(-3)*h))*(h\/(h*h*h*h*h\/(h*h\/(h\/(h**(3\/2)\/h)))))\/h**(-4)*(h**(2\/5)*h)**(2\/13) assuming h is positive.\nAnswer: h**(1133\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*k + 29. Let r be 0 + (-12)\/21 - 7173\/(-21). Suppose 4*c - r + 305 = 0. Solve 4*d = c*d - k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62*(23 + (-3040)\/133)*7.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/24158 and -35\/3084?\nAnswer: 144948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 18, 51, 118, 231, 402?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 160, 172, 228, 352, 568, 900, 1372, 2008?\n\"Answer: 4*j**3 - 2*j**2 - 10*j + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 800*f - 9688. Is 62 a factor of w(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 4*t**2 + 3*t. Calculate r(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 19089*s. Let l(j) = -51*j**2. Give w(l(y)).\nAnswer: -973539*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 868 and 1586.\nAnswer: 688324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/195*9\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356576187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 14 = -2*s, -3*s - 21*f = -16*f + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*g + 198*g - 58*g)*(0 + 3 + 8) as f*g + y and give f.\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90468 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -86 - -53 - (-15 + 3) - -9 - -13 - 57\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/13 + 1519950*z\/13 + 44076868\/13.\nAnswer: 2*(z + 29)*(z + 759946)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/40 - (-24)\/(-5))*1. Let g be k\/(-2)*152\/10. Calculate the greatest common divisor of 152 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 9*n + 4. Let i(g) = -2*g**2 - 5*g - 2. Give 5*i(v) + 3*s(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 6*x**2 - 2*x - 11. Suppose -20 = -2*l + l. Suppose -6*m = -2*m - l. Let n be z(m). Solve 0 = 4*p - 4*o, n = -5*p + o + 2*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*j - 5*j. Let t = 587 - 739. List the prime factors of (1 - t\/(-12))*j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m + 143. Let z = 170 - 145. Is v(z) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbhhnnhn. Give prob of picking 1 b, 1 n, and 1 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23029392 a multiple of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 42, 5548230\/7 in descending order.\nAnswer: 5548230\/7, 42, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*p - 1164 - 916, 4225 = 2*b + 3*p. Let c = b - 708. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1001, -3.\nAnswer: -3, 4, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/5)\/(6\/(-4)). Suppose k*w - 2*l + l - 8 = 0, 2*l = -4*w. Solve w*f = 5*v - 4, 5*f - f = -8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.8008 plus 96.2?\nAnswer: 83.3992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 - 110*y = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -w - 2 - 4, -2*n = -3*w + 22. Solve 4*p - 4 = 0, 2*p = 4*v + w*p - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 11604.\nAnswer: 5\/11604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = z - 3*s, -3*z - 2*s - 7 + 17 = 0. Solve -p = 2*c - 8, z*p + p = c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*i**2 + 150*i + 271141 wrt i.\nAnswer: 112*i + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and 1459214395.9297.\nAnswer: 1459214387.9297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-5 + 20) - -18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314402.\nAnswer: 2, 11, 31, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 51*h + 109. Let s be v(-2). Suppose -2*k - 2 = 0, 0 = -2*a + s*k - 8*k + 36273. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79564 or 80077?\nAnswer: 79564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 - m. Let b = 20 - 19. Let v(q) = -6*q**4 + 4*q**3 - 4*q**2 - 12*q. Let w(u) = b*v(u) - 4*z(u). Find the second derivative of w(x) wrt x.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2403 - 3442302?\nAnswer: -4000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/12)\/b)\/b)\/b*b**(2\/3)*b**(-2\/3)*b**(-5) assuming b is positive.\nAnswer: b**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o - 15*o - 150 = 0. Sort -2, -1, -3, o in increasing order.\nAnswer: -3, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 4*p - 22*p**2 - 6*p**2 + 5*p**2 + 2*p in the form z*p**3 + k + v*p**2 + y*p and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 372\/11 - 19683\/583. Is -1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4*-20 - 5. Suppose 0 = 3*l + 2*y - 19, -3*l - 4*y + 15 = -y. Solve c*x + 3*x + l = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 298*w - 2078. Determine p(-7).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(35) - sqrt(875)*2) + 2*sqrt(35)*5)\/(3*sqrt(847) - (sqrt(7) + 5*(sqrt(7) - sqrt(63)))).\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l**2 - 2 + 7*l - 4\/3*l**3. What is the derivative of i(x) wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15862 + -15857. Suppose -2*p - 2*p - 28 = 0. Let h be 36\/(-21) + 2\/p. Sort 0.5, d, h in decreasing order.\nAnswer: d, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15200803, -15200804, -15200805?\nAnswer: -15200806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1008 and -65\/35118.\nAnswer: 1966608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/16)\/(12\/8). Let j(t) be the second derivative of 1\/6*t**3 + 0*t**2 + a*t**4 + 0 + 3\/20*t**5 - t + 1\/30*t**6. Factor j(c).\nAnswer: c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 954*p**3 + 951*p**2.\nAnswer: 3*p**2*(p - 317)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, a: 4, g: 1, j: 4}. What is prob of picking 1 a and 1 q?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 687 in 1\/7, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*w - 2*l + 110, 0 = 4*w + 4*l - 184. Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 3*z**2 - z + 7. Let q be m(3). Solve -12 = q*r - 8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 11) to base 10\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125082885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3081)\/(-156) - 19)*48\/402\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*l**2 - 109 + 123*l**2 + 219 - 3*l + 41*l**2 - 112 to i + d*l + h*l**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*v + 31 - 1, 0 = -5*t + 2*v + 90. Suppose 2*x + 2*a - t = 0, 4*x - 2*a - 39 - 1 = 0. What is the third biggest value in 5, x, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -448a6 (base 14) to base 10\nAnswer: -166354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -16. Let z(o) = o**3 - 6*o**2 - 7*o - 3. Let j be z(i). Let q = 4 - j. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -144420, -144418, -144416, -144414?\n\"Answer: 2*u - 144422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhr when three letters picked without replacement from {h: 3, r: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 39, -2 in increasing order.\nAnswer: -14, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45725*l**3 - 2*l**2 - 88 wrt l.\nAnswer: -274350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2 - (-7 + -3)\/(-10). Solve -5*p + 1 + 9 = -5*k, k = o*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = 18. Let f(c) = c**2 - 4*c. Let q be f(4). Suppose q = -7*r + 2 + 12. Solve r*h = m*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:40 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k - 137\/4*k**4 + 0*k**2 - 119 - 143\/3*k**3. Find the third derivative of u(l) wrt l.\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131042?\nAnswer: 2, 65521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/18682 and 35\/765962?\nAnswer: 765962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**2*u**3 + 4423*c**2 - 5*u**3 - 3*u**2 wrt u?\nAnswer: 15*c**2*u**2 - 15*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3153030*k**3 + 9115466*k wrt k.\nAnswer: -18918180*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 - 0.13. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 - -0.91. Let u = 13 - 13.28. Let v = 0.02 - u. What is the third smallest value in 0.5, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 609*t - 620*t + 99 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522761 is divided by 261021?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/151 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*y + 1 = g, -4*g + 14 = -y. Suppose 0*i - o = 3*i - 87, o = -g. Suppose -2*w + 3 = -9. Calculate the greatest common factor of w and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -75\/7 (c) 30 (d) 3 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1026.323 to zero decimal places.\nAnswer: -1026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1436262, 1436261, 1436260, 1436259, 1436258, 1436257?\n\"Answer: -n + 1436263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22857.973 - 22858. Put 0.1, -4, 4, i in ascending order.\nAnswer: -4, i, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4. Let m(c) = c. Let i(u) = -4*u + 30. Let n be i(7). Let p(l) = -l**2 + 17*l + 1. Let y be p(17). Determine n*m(s) + y*b(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1413*y**4 + 1170*y - 9560712?\nAnswer: 5652*y**3 + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5 + 18*i**4 + 39*i**3 + 36*i**2 + 12*i = 0 for i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 6. Let k(d) = -d. Let r be k(-4). Let a be s(r). Put a, 1, -5 in descending order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + 3*h + 2. Let j be o(-1). Suppose 20376 = 5*k - j*k + 5*b, -5*k = -3*b - 50971. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 + 102*n + 525. Give h(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -84*q + 61*q. Suppose 25*c - q*c - 2*j - 2 = 0, 2*c + j = 8. Solve -k - 1 - c = h, -3 = k + 3*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*a**4 + 159*a**3 + 149*a**2 + 7189*a + 5 wrt a?\nAnswer: 144*a**2 + 954*a + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15658\/5 or 3\/4?\nAnswer: 15658\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(9\/(-36)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 2. Let g be j(2). Let p(y) = 3*y + 8 - 17 + y. Let b be p(g). Solve -b - 1 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 413.895 and 24.\nAnswer: 437.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4501 - 4499. Suppose 2*k = 2*d - 20, 0*k + k - 14 = -d. Suppose -4*j = -3*x - 14 - 7, 0 = 4*x + d. Solve -3*v = -w*v - 3*p + 2, 0 = j*v + p - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4976 is divided by 189.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from sfassvssahaacsfsaav.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/24 - (-233)\/78 - 3. Which is the closest to -0.1? (a) z (b) 0 (c) 13 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*35213636\nAnswer: -70427272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 9:10 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 30, 21, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 6:37 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 13*c + 12. Let p(w) = -2*w**2 + 3*w + 7. Let t be p(4). Let q be f(t). Suppose y = 4*j + q, -y + j = -0*y - 9. Solve 4*a - y = 6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 3*o**4\/4 - 13*o**3\/6 + 38*o**2. Let v be y(-3). Let u = v + 73. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -2674\nAnswer: 71\/2674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s**2 - 18*s + 5. Let c(d) = -14*d**2 + 17*d - 4. Let b(i) = 5*c(i) + 4*t(i). Find the second derivative of b(o) wrt o.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3706 - -0.0706. Let s be ((-2)\/(-3))\/(1\/(-6)). Which is the smallest value? (a) f (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341 and 2827.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*y - 13 = 0, 2*y - 1 - 1 = 0. What is the second derivative of -a - a**3 - 5*a**3 - k*a**3 + 3*a**3 wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - 5. Let v = -27 - c. Let x(l) = -7*l - 4. What is the tens digit of x(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761a19 (base 16) to base 11.\nAnswer: 440713a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 141406197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/4)\/((-1881)\/2090).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409 by 3954.\nAnswer: 409\/3954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721398?\nAnswer: 2, 7, 122957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10800 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/155 and 18\/635?\nAnswer: 19685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227 - 219 = 142*x - 30*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*x = -405*x + 334*x - 65191 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z**3 + 37*z**2 - 374 + 741 - 37*z**2 - 370.\nAnswer: 39*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 2\/19 (c) 2 (d) 147 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (112\/(-42))\/((-136)\/1122)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*a - 75*a - 21 = 0. Let p be 1 - 0 - -4 - 3. Suppose 2*o - 4*w - 2 = 0, -p*w = -4*o + 3*w + 7. Solve o*i = -5*t - 6, -a*i = -t - 3*t - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3, 2*h + k - 5 = 10. Let c be (h\/(-84))\/(0 - 3\/(-8)). What is the third smallest value in -2\/3, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -37. What is the remainder when 26 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 37*z - z**2 + 3 - 28 - 53*z. Let n be b(-14). Suppose -2*l + 30 = 2*h, 4*l - 4*h - 41 = n. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*s - 36, 20 + 44 = 2*y + 2*s. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 131483 and 3.\nAnswer: 394449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81950263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*l - 68. Let s = l + -20. Suppose -2*t + 4*h = 0, s*t - 4*h + 27 = -5*h. Is t > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {n: 1, r: 3, k: 2, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86716*o - 28 = -2*m - 86719*o, o = 3*m - 20 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) -3 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 25*m + 185. Give v(-12).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (624\/21 - -1) + 2\/7. Let b = q + -29. Determine n, given that 0 + 14\/9*n**4 + 4\/9*n**3 - 14\/9*n**b - 4\/9*n = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 100. Let l(n) = 10*n + 23. Calculate the remainder when o is divided by l(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16928 rounded to 3 decimal places?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/19 in 0, 1\/6, -4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-126)*-6*7)\/(4\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 1 = t + v, -25 = 5*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*33\/(-88)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125363260 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - 4*z + 244, 4*r - 2*z + 250 = 0. Let y = 84 + r. What is the remainder when y is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358 - 214. Calculate the highest common factor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12 - (-5)\/(-30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2376*i**2 + 37311 + 37317 - 74628 + i.\nAnswer: 2376*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 3*n**2 - 2*n + 1. Let i be u(4). Let b = -127 - -244. Suppose b = 5*r - 4*m + 35, m = 5*r - i. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100100110?\nAnswer: 100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463774503.\nAnswer: 3, 154591501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18)*3\/4. Let g be -548*(14\/(-8))\/7. Suppose 0 = -3*o - g + 131. Is o at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56353398 is divided by 435?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5565\/(-385) + ((-192)\/1760)\/(7\/35).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 31. Determine g(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/17, -2\/19, -3\/10 in increasing order.\nAnswer: -3\/10, -2\/19, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*f + f - 4 = 0, -3*f = -4*y - 28. Let w be (-2)\/(-7)*y\/8. Let l be -2 + 1 + (-3)\/(-5). Which is the biggest value? (a) w (b) -6\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 10*i**2 + 16*i + 23. Determine y(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -286, 5, 4, -196, -1 in ascending order.\nAnswer: -286, -196, -12, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/11 (b) -3 (c) 5.86 (d) -4 (e) 0.5 (f) 1 (g) -27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 = 3*i. Let v = -15 - i. Let b(u) = u**3 + 3. Let r(y) = 3*y**3 - 6*y**3 + 2*y**3 - 4. Give v*b(k) - 3*r(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(196) - sqrt(196)*1) + sqrt(196))*3)\/sqrt(7))\/((1*sqrt(324))\/sqrt(9)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jufc when four letters picked without replacement from jcjfuccucjxcg?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 47, -4, 0, 1 in ascending order.\nAnswer: -4, -5\/3, 0, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/17, -26934.\nAnswer: -26934, -0.5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -33*t + 1. Give y(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4014.341ml to litres.\nAnswer: 4.014341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:48 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -32, -4*q + 4*k - 24 = 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -968\/5 + 194. Factor 2\/5*f**2 - 2\/5*f**4 - g*f**5 + 2\/5*f**3 + 0 + 0*f.\nAnswer: -2*f**2*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*p + 6139 + 284921. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 93.00000059. Round s to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454 - -702. Let n = 248.02 - a. What is the second smallest value in n, -1, 3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(270) + (sqrt(270) - (sqrt(270) + (sqrt(270) - (sqrt(270) + sqrt(270) + sqrt(270) + (sqrt(270)*1*2 - sqrt(270)))))))\/(sqrt(30)\/(1*sqrt(605))).\nAnswer: -528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -38*v + 210. Let u be d(6). Suppose -p + 154 = -156. Let l be 4\/u + p\/18. Is l at least as big as 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -72. Suppose -d = 3*d - v. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 20*u. Let q(w) = 13*w**2. What is n(q(s))?\nAnswer: 260*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*k**2 + 40*k**2 + 31*k**2 to s + j*k + y*k**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.48 - 4.48. Let l = 3.053 + -0.053. Let p be 0\/2 - 4\/(-14). What is the nearest to p in 2\/9, n, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/297197 or -1?\nAnswer: -2\/297197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**3 + 4*c**2 - 15*c - 4. Let h(g) = -4*g**3 + 2*g**2 - 8*g - 2. Let w be 2\/7 + (-79)\/7. Let v(f) = w*h(f) + 6*y(f). Factor v(q).\nAnswer: 2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -186*y + 200*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) -2694 (d) -92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*x - 25, -3*s - 4*x = -0*s + 13. What is the first derivative of -s + 2*w - 4 - w - 4*w wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16642580 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, m: 2, e: 3, b: 1, z: 2}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -39. Suppose 5*g - y = 2*g. Suppose 4*j - 72 = -4*o, -o + j = -0*j - 22. Calculate the lowest common multiple of g and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -104*v - 302*v + 21 + 206*v + 213*v. Calculate i(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4195 and 709794.\nAnswer: 3548970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.039246 rounded to 2 decimal places?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 3*w + 26. Let q(a) = a**2 + 1. Let o(f) = g(f) + 2*q(f). Let v be o(-7). Solve v = j - 2*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2096, 9817, 22514, 40187, 62836?\nAnswer: 90461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4235 + 54995\/13. Let m = -232\/39 - d. Sort 2, -1\/3, -2, m in decreasing order.\nAnswer: 2, -1\/3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 + -25 + 3 - (7 + -12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 6*m**2 - 12*m - 8. What is x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.214998 tonnes in kilograms?\nAnswer: 3214.998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 910 divided by -182.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 1\/4, 178, -1.5, -0.5 in increasing order.\nAnswer: -1.5, -0.5, 0.01, 1\/4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 67, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3166.29*-0.3.\nAnswer: 949.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105626876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012020022 (base 3) to base 11.\nAnswer: -2a496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhrrhhhhhhhhhhhhhhr. What is prob of sequence rrr?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - (-45 + -5)) + 1 + 13 - 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43673 is divided by 14429?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyz when three letters picked without replacement from {w: 11, y: 1, b: 2, z: 1}?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 less than -2.36?\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 2110648*q - 18996156.\nAnswer: 4*(q - 9)*(q + 527671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*d = 9, -2*p = -6*d + 5*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127262 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9819 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kus when three letters picked without replacement from {k: 1, s: 1, u: 1, y: 6}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhm when three letters picked without replacement from {b: 2, z: 8, h: 3, m: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2420)\/605)\/(((-2)\/(-12))\/((-4)\/8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 - 2297 = -14*g - 16*g - 496 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -5524665?\nAnswer: 5524661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u**2 + 1060*u - 2862. Let s be z(-99). Let p = 42 + -21. What is the greatest common divisor of p and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32756 - 126?\nAnswer: -32882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 81 - 86 = 0, 5*b + 28 = 2*q for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1121315, -2242627, -3363941, -4485257, -5606575?\n\"Answer: -f**2 - 1121309*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = -3*t + 2, -t = -3. Let q(f) be the first derivative of f**3\/3 - f**2\/2 + 13*f - 3. Is q(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*((2 - 4 + 0)*(6 - 2 - 2) + 2 - 3 - 11)*(113*o + 112*o - 114*o) in the form y + v*o and give v.\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -890933.6 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-10))\/(150\/24). Let m = x + 111\/875. Suppose -5*h - 4*w = -8 - 3, -4*h - 4*w = -12. What is the nearest to h in 5, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 10*g**2 + 9*g + 12. Let q be x(-9). Solve k + q = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1484 - -1487. What is the highest common factor of t and 591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d**2 - 4*d**2 - 6*d**2 + 11 - 7*d. Let i be j(8). What is the third derivative of -i*g**2 - 7*g**4 + 9*g**4 + 10*g**4 wrt g?\nAnswer: 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 8*m**2 + m + 28. Give t(-6).\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-18))\/(1188\/243)*4\/(-4)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 - -134. Let n = -11 - -14. What is the greatest common factor of n and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*l = 10, -2*z - 4*l = l - 1. Let n(p) = -55*p**3 - p**2 - 5*p - 3. Is n(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(48)\/sqrt(4)*5 - sqrt(12) - sqrt(12) - sqrt(24)\/(sqrt(4)\/sqrt(2)))\/(sqrt(600) + sqrt(600) + sqrt(600)*-1*6) + -2.\nAnswer: -2 + 7*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**14*n*n))\/(n*n**26) assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 534\/(-36) - (-5 + -9)*(-8 - 6)\/168\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/96 and 61\/120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.414 and 0.1.\nAnswer: -1.7414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206135*c = 206089*c + 1012 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 29*t + 15. Let b(x) = 7*x**2 - 59*x + 25. Let q(g) = -3*b(g) + 5*r(g). Let p(c) = 17*c**2. Give q(p(m)).\nAnswer: -289*m**4 + 544*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 506596523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*k + 19657 = 15569 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100001000001110000 - -100?\nAnswer: -1111100001000001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 17. Let k be u(-4). Let y be 158\/96 + (-4)\/k. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 5*o**2 + 2*o**2 - 7*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*w - 542 + 1093 = -182*w - 1201 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2847, -2, 0, 5.\nAnswer: -2, 0, 5, 2847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6)*960\/128*32\/30\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -960 + 30*i - 589 - 282*i + 14*i wrt i?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -20. Let w = y + 13. Suppose -w*o + 52 = -o. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009665256 rounded to six dps?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z**2 + 0*z**2)*(-3*z + 2*z + 4*z) + 6 - 6 - 2*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g. Suppose 10 = 2*m, 5 = -3*b + 3*m - 4. Let i(u) = -u + u - 6*u**b + 7*u**2. Calculate i(k(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 26 = 2*r, -2*r - 72*b + 71*b + 2 = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 - 168*p**3 - 3447*p**2 - 30810*p - 101400 = 0.\nAnswer: -20, -13, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 42 = 58*k + 27. Put k, -4, -51, -1 in decreasing order.\nAnswer: -1, k, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/34 and 35\/3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 8 = 4*a. Suppose 159*w - 40 = 149*w. Solve 6 = -a*u + w*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 = 3. Suppose -10 - 17 = -i*p. Calculate the greatest common divisor of p and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-15 + -13) - 63?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-2)\/(-6)*0. Let x be 0 - -1 - -1 - m. Let a(z) = -5*z**2 + 4*z**2 - x*z + 3*z. Let r(n) = 6*n**2. Calculate r(a(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1353840022, -1353840024, -1353840026, -1353840028, -1353840030?\n\"Answer: -2*p - 1353840020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.042 (b) 2\/7 (c) 62 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, 1 r, and 1 i when four letters picked without replacement from yryybyyyyyrrrjruiyuy.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 - 5*m**2 - 3*m - 8. Let s(f) = -2*f**3 - 2*f**2 - f - 3. Determine -8*s(h) + 3*z(h).\nAnswer: h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:11 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdptctcctutj. Give prob of picking 1 p and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -741 in 1, -0.5, 0.4, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3146 and -89\/62062?\nAnswer: 682682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1 = 9, 0 = -q - 3*y + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*3\/(-9)*7. Suppose 5*t - 3 = g. Suppose -4*d - 3*c = -18, -2*c + 2 = 2*d - 4*c. Solve -10 = d*a + t*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 986946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 16*v**2 + 13*v - 33. Let u be a(-15). Let d(m) = -5*m - 6. Let j(i) = 6*i + 7. Determine u*j(l) - 4*d(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + g + 6 - 0, 3*g + 8 = 2*v. Let w = 1517 + -1517.09. Which is the nearest to -0.1? (a) w (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.15 (b) -1\/4 (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21309.\nAnswer: 3, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:56 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 233\/(-3) + 4\/6. Let x = -77 - v. Solve n + z = -3*z + 13, -5*z + 15 = x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 - p - 12. Let z be b(5). Suppose 5*u = -z*u + 390. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -3. Let t = -14885.3 + 14885.1. Sort t, j, -0.11, -0.5 in decreasing order.\nAnswer: -0.11, t, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43141 - -3?\nAnswer: 43144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -437 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1169493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -4) - -5 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 82963874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 5*r. Suppose -w = -y - r*w + 9, -5*w = -3*y + 35. Suppose 0 = -2*p - 5*u + 30, 5*p - 2*u - 8 = 9. Solve -s - s = 0, y*o = -p*s + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1011796 - -1010131.022. Let a = -1667 - f. Let s = a + 1.9. Round s to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0 - -2) + (2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80329 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 - 3. Let x(l) = -49*l**3 + 35. Let d be 165\/(-22)*2\/(-5). Calculate d*x(f) + 35*z(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100458 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14405 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (16 - 9) + 0 + (-1 - 10) + 5.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*2\/(-1). Let q = 72 - 218\/3. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011 - -1001100011?\nAnswer: 1010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -4 + 8 + 19 + -4 + 21 + 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 20. Let k be w(0). Let q be (-66)\/(-5)*k\/(-6). Suppose q = 4*h + 2*y, 3*y - 7 = -3*h + 20. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3 = -11. Let u be -2*(-1 + l) - -4. Solve 0*m = 3*m, -u*x + 5*m - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2838*w + 2389 wrt w?\nAnswer: -2838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82.157 - 0.157. Let n = u + -91. Which is smaller: -3\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*b**3 - 67*b**2 + 6*b - 399308 wrt b.\nAnswer: 36*b**2 - 134*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -32)\/(18\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 47. Factor 1\/2*h - p + 1\/2*h**2.\nAnswer: (h - 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 583*j**2 - 45*j**3 - 583*j**2 + (-2 - 2 + 2)*(2*j**3 + 3*j**3 - 6*j**3) + 2*j**3 + 2*j**3 - 3*j**3 to b*j**3 + d*j**2 + q + h*j and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 6*u - 24. Suppose 3*g + 3*f = 4*g - 4, 2*g = -5*f - 47. What is the remainder when c(g) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 11*m - 14. Let s be d(-9). Let b = s - 34. What is the remainder when 59 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 + (-2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2 - 3*b - 3. Let i be m(4). Suppose 32 = t - 2*r, 4*r - 1 = -i. What is the remainder when t is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0479 + 196.9521. Let a = m + -197.00000026. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 = 3*r - 3, 4*p = -3*r + 31 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, s: 4}. What is prob of sequence sh?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522956130.\nAnswer: 2, 5, 6247, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v - 1790 = 90*v. Let y = -120 + v. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 0 + 2*q**2 + 37 - 2*q + 15 - 10 to y*q**2 + d + a*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515332 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -448 + 453. Let j(u) be the first derivative of 0*u**4 + 0*u**5 - i + 0*u + 5\/6*u**6 + 0*u**3 - 1\/2*u**2. Find the second derivative of j(w) wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6776\/378 + -30 - (-92 - -80)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9243.1 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21429*y**3 - 3*y**2 + 3*y - 21. Let i be w(7). Round i to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + f + 15 = 0, 5*x = -2*f - 15 + 29. Let a be (x\/(-18))\/(62\/(-1674)). Solve -14 = -a*k - k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114797*1.7\nAnswer: 195154.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 40029*a = 0 for a.\nAnswer: -40029, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31168023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73787425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*v + 21*v + 20*v - 4*v)*(-v + v - 2*v**2) as n*v**3 + t*v + w*v**2 + d and give n.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4020 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119007 (base 14) to base 11.\nAnswer: 380552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 12 = 24*l. Solve 0 = l*n - 134 + 130 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*b, -2*m + 6 = 3*b + 1. Let t = 3 - 2.4. Let x = 0.5 - t. What is the closest to x in -4, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(150))\/(sqrt(16)\/sqrt(128)) - 3*(sqrt(192) + 2)*3)**2.\nAnswer: -1728*sqrt(3) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -46. Suppose 0 = 4*s - 6*s - n + i, 0 = -3*s + 5*n + 10. Suppose -4*u - s = u. Which is the nearest to -1\/2? (a) 1\/9 (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.25 (b) -2 (c) -0.1 (d) 2\/3 (e) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 + 187 - z - 1143*z**3 - 311 to c + l*z**2 + f*z + r*z**3 and give r.\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818624.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*b - 11 = 3, -3*b = -m + 8. Let v(y) be the first derivative of 0*y - 3\/2*y**2 - m. Let c(f) = -f. Determine c(v(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 24?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*j**2 - 328*j**2 - 785*j**2 - 614*j**2 + 143*j**2 in the form q + y*j + p*j**2 and give p.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13971*x**3 + 21972*x - 634935021 wrt x?\nAnswer: 41913*x**2 + 21972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r. Is r + 0 + (-24)\/(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:21 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*s + 149155 = -24158. What are the prime factors of s?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181, 1402, 4715, 11164, 21793, 37646, 59767, 89200?\n\"Answer: 174*q**3 + 2*q**2 - 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3078393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5 = -b. Let t(v) = -v**2 + v + 2. Let h be t(0). Let q be ((-25)\/70*(-2)\/5)\/((-1078)\/(-22638)). Solve q*p + h = b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*10*3\/(-6). Suppose -l = s + 5*x - 1, -2*x = 4. Suppose 3*u - 91 = 2*j, -4*j + s = 2*u - 28. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -29, -49, -87, -149, -241, -369, -539?\n\"Answer: -p**3 - p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3 and 5\/20 + (-34)\/(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10635, 19209, 27787, 36375, 44979, 53605?\nAnswer: 62259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -16. Calculate the remainder when 97 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 782, -3, 1 in descending order.\nAnswer: 782, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.4? (a) -0.07 (b) 5\/7 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 4, e: 2, f: 1}. What is prob of sequence xf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -119, -183, -249, -317, -387, -459?\n\"Answer: -k**2 - 59*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 135. Let j = -71 - w. Put -9, -3, j in descending order.\nAnswer: j, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-77))\/(1\/((-1)\/4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 - 164 = 2*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85149 is divided by 83?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*x = 4*s + 57*x - 38, 4*x = 4*s - 44. Let u(n) = -7*n + 18. What is u(s)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853*g - 843*g - 848*g - 851*g + 3397*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*(-4)\/(-8)*(-2342)\/8197?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46367 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 147. Suppose -5*n = -4*z + 10914, -20*z + 4*n + 13647 = -o*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*j**3 - 21176*j**2 + 21176*j**2)*(1 + 0 + 1) + 7*j**3 - 21*j + 21*j to u*j**2 + w*j + f*j**3 + i and give f.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*t**3 - 186*t**3 - 472*t**3.\nAnswer: -725*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2332523, 2332522, 2332521?\nAnswer: 2332520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*j**4 + 127 + 15*j**3 + 3*j**5 - 127 - 6*j**2.\nAnswer: 3*j**2*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 17. Let u = 2 - h. Let y = -11 + 8. What is the third smallest value in u, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttti when four letters picked without replacement from {i: 3, s: 1, v: 2, k: 1, t: 3, o: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81050\/17 or -4769?\nAnswer: -4769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.7 and -233?\nAnswer: -6454.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 - 116*n + 112 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.9 (b) -12\/7 (c) 0.2 (d) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (15 - 10) + (-12 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44641874 and 1939?\nAnswer: 312493118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 677c93 (base 13) in base 3?\nAnswer: 11121020012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 + 696*p - 696*p + 3*p**2 in the form c + r*p**2 + n*p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 610, 2456, 5548, 9886, 15470, 22300, 30376?\n\"Answer: 623*t**2 - 23*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14 and 1\/2423888?\nAnswer: 16967216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (420\/294)\/((6\/56)\/(1071\/(-952)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 10201221?\nAnswer: 10201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -1 - 1\/6*v**2 - 4\/9*v**3 + 0*v. Solve w(l) = 0 for l.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-2 - 1)*-2. Suppose 2*a - 1 + 38 = -v, 2*a + w*v = -40. Does 6 divide a\/(-63) - (-94)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 548, 943, 1496, 2207, 3076, 4103?\nAnswer: 5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*z - 85, -7 - 8 = -5*o. Solve 2*x = 5*f + z, -4*x + 2*f + 4 = 4*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 493495368 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -926*y**4 - 186561*y**3 - 171153624*y**2?\nAnswer: -22224*y - 1119366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7780751, 7780780, 7780809, 7780838, 7780867?\n\"Answer: 29*j + 7780722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 3 + 6*k**3 - 20*k**3 - 2*k**2 - 2*k + 3*k**3 + 8*k**3. Suppose a = 3*a - 3*p + 19, -19 = -3*a - 5*p. What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1730, 2787, 3124, 2747, 1662, -125?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93109667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8510359322 to the nearest integer?\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(1053))**2 - (sqrt(1053) - (sqrt(1053) + -4 - sqrt(1053))*3 - sqrt(1053))**2 - (2 + -1 + sqrt(1053) + sqrt(1053) - 3*sqrt(1053)*3)**2.\nAnswer: -58156 - 306*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13640 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -10, -21, -50, -103?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6193 = -n + 2*q, -n - 2*q = -6*n + 30981. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87258.32mm in centimeters?\nAnswer: 8725.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77513*4044.\nAnswer: -313462572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 9:28 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11 from 3367278.\nAnswer: 3367289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -172088669, -172088668, -172088667?\n\"Answer: f - 172088670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*z + 4 - 2 = 0, -5*p + 5*z = -45. Find the first derivative of 31 + 3*x**4 - x + 29 - 5 + 14*x**p wrt x.\nAnswer: 68*x**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/65)\/((-63)\/(-140))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 598\/6 - 9\/162*12. What is the highest common factor of 66 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 s when four letters picked without replacement from {h: 2, s: 1, w: 4, e: 1, j: 1, g: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 10) + 12 + (-824 - -818)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 4*c + 4*c)*(940 + 493 + 344)*(0*c**3 - 3*c**3 + 5*c**3) to the form v*c + h*c**2 + g*c**3 + y*c**4 + n and give y.\nAnswer: -3554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-18))\/(-2))\/(((-380)\/(-180))\/19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/((-1)\/(-15)). Let v be 1\/((-36)\/(-8)) + (-2)\/(-18). Put -3\/4, v, p in ascending order.\nAnswer: -3\/4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.2 (b) 62 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*b - 31900, b + 630 = v - 7345. Suppose 0*l - v = -5*l. Let s(f) = 1593*f**2 - l*f**2 + 0*f + 0*f. Let y(z) = 5*z**2. What is s(y(w))?\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/34*28\/(-6)*3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2567202674 and -0.08576.\nAnswer: -2567202674.08576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 394, 399, 404, 409?\n\"Answer: 5*q + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13111 rounded to the nearest 10?\nAnswer: -13110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -17\/5, 1, -0.3.\nAnswer: -17\/5, -1, -0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + z**4 - 3*z**4 + (3*z**3 - z**3 - 4*z**3)*(0*z - 2*z + 0*z) - z**4 - z**4 - z**4 + 0*z**2 - 2*z**4 + 0*z**2.\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42697 by 4.\nAnswer: 42697\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 - 2. Let s(w) = 105*w**2 - 27. Determine 2*s(u) - 27*z(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(12)\/sqrt(4) + 3)*5.\nAnswer: -5*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 9) to base 4\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 373, 384, 399, 418, 441, 468?\n\"Answer: 2*b**2 + 5*b + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21710 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35d + 2ed?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = -10. Is (v + (25 - -3))\/1 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g**2 + 11*g**2 - 14*g**2)*(-4 + 2 - 5 - 3 + 4 - 2 + (-1 + 3 - 1)*(3 - 1 + 0)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10b64 - 9?\nAnswer: -10b6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.5, -2\/51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n**2 + 3 - 7*n**2 - n**3 - 8*n + 11*n**2. Let g be l(-10). Let b = 147 - g. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**5\/20 + 17*l**4\/12 + l**2 - 102*l + 1. Let c be k(17). Solve c = 3*b + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56*-0.2\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 - 289.7. Let k = 26 - l. Let x = 4.1 - 4. What is the second biggest value in x, 1\/3, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuqc when four letters picked without replacement from gccgguggcgqq?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7152 - -7216. What is the greatest common divisor of 1184 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 46*q + 30. Let o be b(23). Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180\/19, -5, -4\/3.\nAnswer: -5, -4\/3, 180\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, -1, 0.02, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/6*-3)\/(10\/(-8)). Let n be v\/(-4) - (-49)\/14. Solve -5*d + l + 2 = 0, -4*d - 6 + 0 = n*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233735303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kab when three letters picked without replacement from klbal?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 260, 259, 256, 251, 244, 235, 224?\n\"Answer: -o**2 + 2*o + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(700)\/sqrt(7))\/sqrt(2))**2*3 + -2)*3.\nAnswer: 16194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269 + -47. Suppose -3*d - 3*y = -p, -125 = -5*d - y + 229. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*a + 34*a + 56*a - 3*a + 2*a + 2*a + (-a - a + a)*(6 - 4 - 3) - a + 0*a + 2*a + 3*a - 4*a + 0*a + 3*a - 4*a + 2*a.\nAnswer: 69*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200 and 12575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2390 - -1562. Let x = k + 850. What is the remainder when 373 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2817 and 164638?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265918 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*(c**(2\/9)\/c*c)\/c*c**(-6)\/c**(-1\/4) assuming c is positive.\nAnswer: c**(-559\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 >= -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 76*l + 299. Let o be h(-3). Solve 9*c - o = -26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 25 = 4*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*1)\/(-84 + 85). Solve 9 = 3*k, 4*f - 12 = q*f - 4*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1925?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 792325785 to the power of 1\/2, to the nearest integer?\nAnswer: 28148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -5)\/(190\/(-92) + 2). Let j = q - -48. Solve -12 = j*g - 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/132 and -41\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 8821909?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 71217498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0.4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/979 and 95\/18512.\nAnswer: 203632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404 at least as big as 3404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 625\/2438 + -17\/46. Let t = 64\/371 - w. Which is the nearest to t? (a) 1\/4 (b) -0.1 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20 - 3\/(9\/(-6)). Suppose 5*x - 2*w = -28, 0 = -x + 6*w - w - 24. Is x\/d + 34\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/4, 0.1, 61, -0.1, 20, -5 in descending order.\nAnswer: 61, 20, 5\/4, 0.1, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6167476 and 7060137.\nAnswer: 536570412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 37232208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*r = -0*i + 3, -15 = -5*i - 4*r. Let c be 6\/(-8)*i\/9. What is the nearest to -1 in 5, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 0.2, 1\/4, 805?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3) + 6 + -8. Let w = 4 - 3. Which is the nearest to t? (a) 0.03 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130200 - 10?\nAnswer: 130140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2\/4 + 8421*p + 23637747 = 0?\nAnswer: -5614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 39. Let d be 3 + -3 - (3 + -2). Which is the biggest value? (a) -5 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((-61 - -68) + 16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Suppose -2*z + 6*z - 807 = d, m*z - 5*d = 787. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -20*a**2 + 116*a + 84. Calculate i(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5837 - 5908 - (-2 + -15)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 5*c - 7*c - 4*c**4)*(-7 - 7 - 15).\nAnswer: 116*c**4 + 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 1042*m**4 + 481*m**4 + 45*m**2 + 536*m**4 - 20 + 5*m - 4*m**3 = 0. Calculate m.\nAnswer: -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.35 + -6.3499218. Round v to six dps.\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371554367 = -11*l - 93936367. Round l to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 464 - 467. Which is the biggest value? (a) r (b) -113 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + 41 + 32 + -82\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 3, -2, 8\/9, -14?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 888 by -24.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:19 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -0.028?\nAnswer: 13.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(35)*-1)\/sqrt(5) - sqrt(7)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from bbbhhbbbbbbbhhbbhbb?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 59*k + 372 + 31*k + 0*k**2 - 120 + 2*k**2 = 0. Calculate k.\nAnswer: -42, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190*u**2 + 501*u - 261864 wrt u?\nAnswer: 380*u + 501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**40)\/c)\/(c\/(((c**41*c)\/c*c)\/c)))\/(c**9*c*c)**39 assuming c is positive.\nAnswer: c**(-429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-30)*10\/12. Let n(a) = -a. Let m be n(-1). Let k = m + 0. Do k and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -201 - d6d?\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t + 1. Let f(j) = 23*j**2 + 2*j + 10. Calculate -4*c(w) + f(w).\nAnswer: 19*w**2 - 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 6*r**2 + 9*r + 4. Let u be f(-7). Is (-3 + 1)*445\/u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 3*l - 15. Let w be u(-7). Let r = w - 35. Let i be (-36)\/r*40\/(-12). Solve -3*f + 18 = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 0 = g. Suppose 9*k - 4*k - 4*t - 480 = 0, 2*k - 3*t - 199 = 0. Suppose 3*c - 26*c = -k. Calculate the greatest common divisor of g and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 3*d)*(4954*d**2 - 5181*d**2 + 18*d**3 - 8*d**3).\nAnswer: -20*d**4 + 454*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38808 divided by -4312?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.4. Let d = 101.82 - 99.12. Which is the third biggest value? (a) k (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let y be 11 + 3 + 15\/f. Solve 3*q = -2*j + 2*q - y, -4*q - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:55 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/2385 and 29\/137694.\nAnswer: 2065410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.018435500238658+-0.5\nAnswer: -0.481564499761342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y**(-1)*y))*y*y**(-10\/7))**(-15\/4))**(-38\/5))**(-3\/4) assuming y is positive.\nAnswer: y**(513\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3330 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (1 + sqrt(1300))*-4)*-4)**2*-6.\nAnswer: -3121536 - 38400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -213228, -426457, -639686, -852915, -1066144?\n\"Answer: -213229*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -695800\nAnswer: 103\/695800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4645305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 9\/3)\/3. Suppose -2*j + 2*i = -56, 0 = -2*j - 3*i - n*i + 51. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6353626527 to the nearest integer?\nAnswer: 79710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 <= 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 238947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 89641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:14 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 2 - 12) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -16*c + 704. List 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 43\/4 of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28d04b - 0?\nAnswer: 28d04b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 3, g: 5, u: 2, x: 6}. What is prob of picking 1 x and 1 u?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let z(p) = 2*p + 1. Let a be z(l). Suppose -g + 0 = -a. What is the greatest common factor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1564 and 18658980.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -66 - -11 - (-8 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 + 0 = 0, -4*t - 5*c = 1. Let v(q) = -6*q**2 + 2. Let s(u) = 16*u**2 - 9. Let n(l) = -s(l) - 4*v(l). Determine n(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133.3 * 1.138\nAnswer: -151.6954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 349877 and 3179.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3288 or 3287?\nAnswer: 3287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940 a factor of 198490986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*n - 7*n**2 - 105*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 135 + 126*h**3 - 81*h**3 - h**2 - 137 in the form p*h + y*h**3 + o*h**2 + f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.8348 - -1.8263. Let q = k - -31. What is q rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (sqrt(80) - sqrt(80)*-2)\/sqrt(10))\/sqrt(4) + sqrt(24)\/(sqrt(108)\/sqrt(225)))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*r + x - 7, 20 = 4*r - 4*x. Let y(m) = -3*m. Let f(q) = -3*q. Let h(s) = r*f(s) - 2*y(s). Let p(c) = 112*c - 5*c**2 - 112*c. Determine h(p(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*o - 56. Suppose -4*k + o = -37. What is the second derivative of k*b + 9*b - 146*b**3 + 158*b**3 wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)*m*m)**(7\/3)\/(m**(-2\/3)*((m\/(m*m*m\/(m**20*m)))\/m)\/m) assuming m is positive.\nAnswer: m**(-161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1, t: 1, o: 4}. What is prob of sequence lf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -59. Find the common denominator of ((-250)\/(-36))\/5*-2 and (14\/b)\/((-40)\/(-210)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from crqncrnqqckkqqq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618331851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 13272?\nAnswer: 39816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**2 + 0 + 1 - 1.\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21098 and 1096.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*d - 137*d = 2 - 212. Solve -2*i + d*i = c + 8, 5*i - 6 = 2*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -1303.\nAnswer: 11727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -87, -109, -131, -153, -175?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -148*w**2 + 3*w + 10. Let b(g) = 146*g**2 - 2*g - 8. What is -3*a(z) - 4*b(z)?\nAnswer: -140*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11601072 and 61200?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65788.\nAnswer: 2, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192437?\nAnswer: 7, 37, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5 = -3*k, 5*w - 30933 = -4*k - 30927 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/375 - -43\/250. Let r(f) be the third derivative of 0*f + 0*f**5 + 1\/24*f**6 - 5*f**2 + b*f**3 + 1\/24*f**4 + 0. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31)\/(-7) - 5*40\/50. Factor 9\/7*n**2 + k*n**3 + 6\/7*n + 0.\nAnswer: 3*n*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y\/y**(-2\/3)))\/y))\/y**(-1\/4)*((y*y**(2\/7))\/y)**19 assuming y is positive.\nAnswer: y**(701\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -34. Let v = -0.664 - -26.064. Let m = f - v. Which is the third biggest value? (a) m (b) 0 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 9 - 2*r**2 + 4*r**3 - r + 1 - 6 as n + v*r**2 + p*r**3 + o*r and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 42*i - 46*i, 2*x + i = 0. Solve -3*w + x*w = -v + 5, -7 = v + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66.251019 - -43774.\nAnswer: 43840.251019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6574 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2148112 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 37. Calculate the smallest common multiple of b and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*y + 115*y = 562*y + 35700 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:30 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1010101110000111010110100011?\nAnswer: -1010101110000111010110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/4 + 23*b**3\/2 - 2023*b**2\/4 + 926*b + 1443 = 0.\nAnswer: -74, -1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 11*v**2 + 15*v + 11. Let d(o) = -5*o**3 + 17*o**2 - 23*o - 17. Let i(q) = 5*d(q) + 8*l(q). Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 661 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021108 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0*b + 8. Solve b*j + 0 + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311057.\nAnswer: 3, 11, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8)**(17\/6)*(m**(4\/5))**(-3) assuming m is positive.\nAnswer: m**(304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**4\/2 + v**2\/2 - 7*v - 10. Let m(r) = -r**3 + r - 6. Let f(b) = 7*m(b) - 6*x(b). What is f(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 25 = -x, -3*x + 38 + 107 = 2*l. What is the highest common factor of x and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/5 + -45 + 48.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 281932?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 3834.8?\nAnswer: -306.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 386515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 4662786*q**3 + 2653625*q?\nAnswer: -24*q**2 - 27976716*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(12)*2*-5) + sqrt(12)*5*-6)\/((4*(sqrt(48) - 2*sqrt(48) - sqrt(48)) - sqrt(48))\/sqrt(2)).\nAnswer: 19*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Solve -5*n + 4*z - 5 = 0, -q*z = -z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-74)\/(-6) + 10\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:39 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 2, g: 1, l: 7, e: 3}. What is prob of picking 1 j, 1 g, and 2 l?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-6) + 2\/(-3). Let v be (28\/6)\/((-4)\/(-72)). Suppose g = 4*g - v. Solve -5*y - 5*j = 0, 3*y - 3*j + z = g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f**2 - 103*f - 23. What is c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 11*l**8\/84 - 3*l**4\/8 - 2*l**2 - l. Find the second derivative of w(z) wrt z.\nAnswer: 880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from ttturuuulngnltn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 126687 (base 14) to base 7\nAnswer: 5242530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - 2*q)*(-2*q - q + q) + 0*q**2 - 2*q**2 + 3*q**2 - 5*q**2 + 5*q**2 - 2*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * -1.07.\nAnswer: -2.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15944 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 4*n**2 - 4*n + 3. Let h be y(2). Put -1, 1, h in decreasing order.\nAnswer: h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -15 + 321*r**2 - 45*r - 322*r**2 + 31*r. Calculate n(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 1, i: 3, q: 4}. Give prob of sequence iiqd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 665*s - 22. Let d(l) = -1338*l + 45. Determine 5*b(w) + 2*d(w).\nAnswer: 649*w - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 139.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-30)*1*15\/(-2). Which is the second smallest value? (a) -2\/9 (b) j (c) -150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 - 14*f**2 - 7*f - 96. What is i(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 93*b - 2234. Let d be s(24). Sort 22, d, 1, -19 in descending order.\nAnswer: 22, 1, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197778 and 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12 and 2*-3*(-2)\/(-72)*29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - (-1320)\/(-120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3. Suppose -g + 34 = -i*g. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + 54*s + 221. Let b be p(-6). Calculate the greatest common divisor of b and 127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 5*b + 63 = 3*x, -3*x + 53 = -b. Suppose 19*p = 27*p - x. Solve -43 = -4*s + 4*j - 7, -3*s + p*j + 23 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 42*y**2 - 28*y + 151. Let j be a(4). Calculate the highest common divisor of j and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 51 + 291 = -4*f, -f + 5*d - 41 = 0. Let t be ((-73)\/(-6))\/(3\/(-15)). Let l = t - f. What is the third biggest value in 12, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + j = 10, 6*j - 2*j = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -91*o**6\/3 + 85*o**4\/12 - o**3\/3 + 1018*o. Find the third derivative of f(b) wrt b.\nAnswer: -21840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16446*m**2 - 2*m - 128?\nAnswer: 32892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3762 or -3932?\nAnswer: -3762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 + s**2 + 3*s - 11. Let k(h) = 4*h**3 + 5*h - 12. Let d(o) = -2*k(o) + 3*q(o). Determine d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 10*a - 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 3*h**3 - 452*h - 3*h**2 + 447*h - 5 in the form t*h**3 + s + m*h + w*h**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 93580 - -1a6?\nAnswer: 93746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -11 + 74. Suppose 0 = 4*h - 7 - k. Let j(n) = -n**3 + 7*n**2 + n - 7. Calculate j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9085.582 micrograms?\nAnswer: 9.085582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = -42. Let v = c + 21. What is the remainder when 11 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 55*w - 14391 = 0. Let d = -251 - w. What is the highest common divisor of d and 900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**4\/5 + 121229*k**3\/5 + 557741*k**2 + 11034439*k\/5 - 61474764\/5 = 0.\nAnswer: -13, 3, 121252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-135)\/6)\/(18\/(-24)). Suppose -26*x = -j*x + 20. Solve 0 = x*d - 4 + 14, -m = -2*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 + (-2 - -15))\/(4998\/2498 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyw when three letters picked without replacement from yywywyyy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 828 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 + 189 = -33*i. Suppose 16*a - 60 = i*a. Solve a = 6*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-609))\/((-2920)\/2555)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5661 - 5725.896. Let y = 65 + r. Let n = y + -2.104. Which is the third smallest value? (a) -0.3 (b) -1\/2 (c) n (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -0.0686, 2\/213 in ascending order.\nAnswer: -4\/9, -0.0686, 2\/213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/1135 and -19\/9.\nAnswer: 10215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)*-1 - -2. Suppose -4*k + u + 2 = 0. Suppose -s - 5 = 0, t = 3*s + 7 + 5. Is t at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u - 2*u)*(6 - 6 - 4*u**4).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 702*j - 1. Suppose 4*z + 2 - 6 = 0. Is o(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68*696\/3944 - (124\/(-8))\/(1\/8)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4 - 1)*10. Suppose 18 = 5*y + 3*q - 6, 0 = 4*y - 3*q - 30. Let f be -3*(-2)\/y - 1. Is f > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6210, 6209, 6208, 6207, 6206, 6205?\n\"Answer: -o + 6211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1847451824100*q**2 + 21747360*q + 64.\nAnswer: 4*(679605*q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/((g*((g**9*g*g)\/g)\/g*g)\/g))*g)\/((g**(1\/13)\/g)\/g)*g**12\/(g**0\/g) assuming g is positive.\nAnswer: g**(350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12113723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 21*y**3 - y**3 - 2.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 22\/7*d**2 - 22\/7*d**4 + 2*d**3 + 0 - 18\/7*d**5 + 4\/7*d = 0. What is d?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, d: 2, j: 6}. What is prob of sequence njnj?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 5\/3*z**3 + 8 + z**2 - z + 1\/4*z**4. Calculate v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/3))\/(q\/(q**5\/q)))\/((q*q**(1\/16)*q)\/(q\/(q*(q\/(q\/(q**1\/q)))\/q))))**(5\/2) assuming q is positive.\nAnswer: q**(785\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 374390 = -97*m + 99*m, 5*x = -4*m + 935980. Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827 - -19399040.8.\nAnswer: 19398213.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.2 + -13. What is the nearest to -1 in -0.4, -4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {v: 3, p: 9, k: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 1 + 3, 54 = -5*i + 3*v. Let a = -8 - i. Suppose 0 = d + 4, -4*c - a*d = -8 - 4. Is 2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34643 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1078*r**2 - 1079*r**2 + r - 49*r**4 + r**3 - 74*r**4 to the form d*r**2 + a*r**4 + l + f*r + p*r**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1784441, 1784560, 1784679, 1784798, 1784917?\n\"Answer: 119*d + 1784322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 819000049, 1638000100, 2457000151?\nAnswer: 3276000202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 3. Let h be i(5). Let y be (-21)\/(-9) + h\/(-6). Suppose 0 = x + 3*t - 2, -3*x + 9 = -y*x - 4*t. Solve m - 8 = 3*a, -3*m + x*a - 2*a = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j**3 + 75*j**2 - 155*j - 150 = 0. What is j?\nAnswer: -5, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5966653, -5966656, -5966659?\n\"Answer: -3*b - 5966650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511168?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + -1 - -62*(-15)\/(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -556*a**3*k**2 + 21*a**3*k + 400*a**3 - 3*a**2*k + a**2 - a*k**2 + 2*a*k - 5*k**2 - 6625*k wrt a?\nAnswer: -3336*k**2 + 126*k + 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -22) + 5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1 - -13) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s + 2*y - 1, 2*s = -3*y + 6. Suppose 3*m - s = -12. What is the biggest value in 1, 3\/5, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyeyryyyeeeylyye. What is prob of sequence ley?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25\/12 (b) -23\/5 (c) 1\/5 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (2 - 3) - (-334 + 356).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 7 - 9*b - 20.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8806275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12634 is divided by 507.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -l + 12, 0 = -3*j + 2*j - 4. Let f be (0 + l)\/(0 - -1). Let y(g) = 4440*g - 8875. Let i be y(2). Solve 0*h + i*h = f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 4. Suppose 3*x = 5*t - 7, t = -0*x + 2*x + 7. Let h(i) = 6*i**2 + i. Let m be h(t). Put n, 2, m in decreasing order.\nAnswer: m, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(12\/(-5))\/3. Let c = -1 - n. Let v(b) = b**2 - b. What is v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31546 + -17168. Does 26 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*a + 4 = -0*n, -3*a + 7 = 4*n. Let v(j) = -j - 6. Let c be v(-10). Let l be c - (4 + (9 - 3 - 2)). Put 0, n, l in ascending order.\nAnswer: l, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Suppose 5*c - 10 + 0 = 0. Suppose z + 6 = -5*l - 0*z, l = c*z - 10. Let b(v) be the second derivative of -v**3\/6 - 2*v. Give l*o(p) + 3*b(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -68, -164, -308, -506, -764, -1088, -1484?\n\"Answer: -i**3 - 15*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140302213 - 3133?\nAnswer: -140310401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f + 3*f)*(-3 + 4 - 5).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 10*w**2 - 84*w - 54 = 0.\nAnswer: -3\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-81) + 72590\/18. Let w = u + 232. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-48)\/420*2*(-25)\/(-25)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -3*i - 0*k + 3*k + 5 - 2, 4*i = 9*k + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 5*p + 130 - 104, 5*c - 2*p - 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635 (base 7) to base 3.\nAnswer: 102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 361 = -7*s. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 5*k - 11, -5*t + 27 = -4*k. Factor -t*v**4 + 2*v**3 + 5*v**4 - 6*v**3.\nAnswer: -2*v**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/7 - 11*y\/7 + 51\/7 = 0?\nAnswer: -17\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -494*b + 8747. What are the prime factors of j(-44)?\nAnswer: 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8777*i = -2*d - 8776*i - 16, -39 = 3*d - 4*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 8*l - 5. Let i(t) = 8*t**2 + 9. Let h(r) = -r**2 + 1. Let s(d) = l*i(d) + h(d). Find the first derivative of s(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/14 and -29\/308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/5)\/g)\/(g*g\/g**(1\/10))*g**(-4)*g*g**4)**(-24))**9 assuming g is positive.\nAnswer: g**(2484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (7 - (-1 + 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 514\/(-130) + (-68)\/4420*-182.\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.77 - -69.23. Let t = 19 + s. Let v = t - 90.3. Are v and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/39)\/(-1) + 380\/11700?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + 2*t**2 - 4*t + 2. Let r be j(2). Suppose s + 2*k - r = 9, -137 = -3*s - 2*k. Let o = s - 28. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 5\/(20\/44). Let k = i - 7. Suppose 8 + 17 = -k*f. Which is the second smallest value? (a) 2 (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m + 37. Let q(b) = -6*b - 19. Let u(o) = -3*k(o) - 5*q(o). What is the lowest common multiple of 112 and u(-5)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 41*k = -73548. What is k rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + 2*o + 10. Let f(g) = 2*g**3 - 24*g**2 + 68*g + 15. Let m be f(5). Determine t(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2112269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 554.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 306400 divided by 10\nAnswer: 30640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3\/5 + 138*m**2\/5 - 1047*m\/5 - 1188\/5 = 0.\nAnswer: -1, 11, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12133 - -112140?\nAnswer: 100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 149743241, 299486479, 449229717, 598972955, 748716193?\n\"Answer: 149743238*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 35*k - 19. Let u(v) = -v**2 + 3*v**2 - 2*v - 6 + 14*v. Let c(j) = 3*f(j) - 8*u(j). What are the prime factors of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/14)\/(-3))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 2, -648, -0.1?\nAnswer: -648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 7*z + 5. Let d be k(7). Suppose -3*j = d*v - 234, -4*j - 2*v + 125 + 187 = 0. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {q: 2, k: 2, v: 1, y: 4, p: 4, x: 7}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1924568088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-44))\/(15\/(-40))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-9))\/(63\/(-168))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9921 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 n when four letters picked without replacement from kukknknknn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/21 and -95\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)\/l**4)\/((l*l**(-3)\/l*l)\/(l\/((l\/(l*l\/(l*l**5)))\/l))))\/(((l*l\/(l*l\/(l\/(l\/(l**(-2)*l)))*l))\/l*l)\/((l\/l**(-3\/11))\/l))**1 assuming l is positive.\nAnswer: l**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = -35*z + 1173. What is the remainder when 74 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*b**5*v + 109*b**5 + b**3 - b**2*v - 68*b**2 + 20*v + 1 wrt b?\nAnswer: 960*b**2*v + 6540*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6787 - -54297\/8. Sort 1, 3, 2\/9, -1, y in descending order.\nAnswer: 3, 1, 2\/9, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from vmvmvmmmmm?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51985, 207991, 467999, 832009?\nAnswer: 1300021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6858 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 128.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*d, 0 = -j - 4*j + 4*d. Let i be 136 + (2 - (j + 12)\/4). What is i rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0\/2 - 1). Let o(t) = 5*t**2 - 4*t + 3. Let q be o(3). Suppose f = -7*z + 3*z + q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g*(g*g**(-1\/5)\/g*g)\/g)))**50\/(g**(-3\/7))**(-40) assuming g is positive.\nAnswer: g**(-190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417 - 417 + 144*r**3.\nAnswer: 144*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/611 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 9 = 0. Suppose -q*j - 14 = 4*h + h, 5*j - 6 = -h. What is the third derivative of -2*l**4 + 5*l**4 + 0*l**j + 2*l**2 + 0*l**2 wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p = 9019 - 8683 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*x + 0 - 1 + 1.\nAnswer: -92*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*s + t + 77, s - 6*t + 8*t = -28 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*m + 141*m = 581*m + 474*m - 2256 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8734330.3 to the nearest ten thousand.\nAnswer: -8730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*i + 6. What is the hundreds digit of (13972\/12)\/i - 6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcpucsuta. Give prob of picking 1 p and 2 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-6))\/((-120)\/(-240))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + (-261)\/(-58). Solve 0 = 3*k + j - u, 4*k - 7 = -k - 2*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-136)\/14 + (-2)\/7. Let w(h) be the first derivative of -5*h**2 + h - 1372. What are the prime factors of w(g)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/120 + r**4\/12 + r**3\/6 + 2*r**2. Let p be x(-1). Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-56550)\/(-125) - 9\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-21 + 18 + -1 + (18 - 7) - -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 4:38 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 183457?\nAnswer: 183461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -c - 5*i + i, -279 = 47*c - 6*c - 0*i + 2*i for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 484685 and 28055?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - 3*w)*(-6 + 4 + 7)*(-1 + 6 - 3).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 5795*u + 0*u**2 + 5766*u + 1)*(3 - 3 + 2*u**2).\nAnswer: 6*u**4 - 58*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*h + 33 = 0, 4*p - 5*h - 14 = 27. Suppose -8 + 24 = p*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y - 6*y - y + y + 0*y - 2*y + (0*y + 2*y - 4*y)*(0 - 4 + 3) + (13 + 176 - 35)*(3*y - 3*y - y).\nAnswer: -155*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)*g**(10\/9))**(-2))**(1\/3) assuming g is positive.\nAnswer: g**(160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 + 11*h**5 - 25*h**5 - 2*h**4 - 2*h**5 - 3*h**5 + 3*h**5 + (-h**2 + 4*h**2 - h**2)*(0 + 2*h**3 + 0) - 4*h**5 + 3*h**5 + 0*h**5.\nAnswer: -8*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6308 is divided by 3147.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -95589 divided by 559\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 + 21*r**3 - 20*r**2 - 65*r**3.\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l + 7 = -272. Let j(m) = -2 - 7 - 4*m - 2. What are the prime factors of j(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cbbacaabcacaa.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*-2*(-1 + sqrt(17)))**2.\nAnswer: -120*sqrt(17) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 3*c**2\/2 + 7*c + 111. Calculate g(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1696, 0.09, -1\/5, 1\/2700?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 8585*l**2 - 186335*l - 194925.\nAnswer: -5*(l - 1695)*(l - 23)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25078 by -1.\nAnswer: 25078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 0, -5*u = 2*n + 18 - 52. Let v = n + -15. Solve -v*y - 2*c + 3 + 3 = 0, -5*y - c = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4731443 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -554*w - 6458. What is x(-12)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbv when three letters picked without replacement from {b: 2, v: 4, m: 10}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d - 7. Let h(b) be the first derivative of -2*b**3\/3 + 3*b**2\/2 + 7*b - 3319. Give 3*h(q) + 4*i(q).\nAnswer: -2*q**2 - 3*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.0126 times -0.1\nAnswer: -0.30126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from undbdusdd. What is prob of sequence sudd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c - 2808 = -46*c. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112*c - 2683*c - 2354*c - 1921*c.\nAnswer: -5846*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3477 + -3147.7. Let j = w + -329. What is the second biggest value in j, -4.3, -5?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -105.\nAnswer: -4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034*3860.\nAnswer: 131.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 4*s + 3. Let q be d(0). Suppose -4*h + 16 = q*z, 0 = -3*h + 5*h + z - 10. Let i(p) = -p**3 + 8*p**2 - 4*p - 10. Calculate i(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**3 - 5*f**2 + 2*f - 8. Let g(q) = 5*q**3 - 35*q**2 + 6. Let d(u) = -u**3 + 6*u**2 - 1. Let t(b) = 6*d(b) + g(b). What is -5*t(i) - z(i)?\nAnswer: -i**3 - 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40799 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9767 and 707.\nAnswer: 6905269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, 13, 42, 77, 118?\n\"Answer: 3*r**2 + 14*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -83*z - 161. Let g be m(-2). Suppose -g*b + 2*c = 6, -4 = b - 4*c + 8. Let a be (-5)\/(-1) + (-2)\/2. Solve 5*u - a*u + 1 = b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*(-126)\/(-63)*25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7870257 (base 11) in base 3?\nAnswer: 221221201020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/15906 and 41\/2221056.\nAnswer: 24431616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*u + 11*u - 5*u + (2 - 4 + 0)*(2*u - 2*u - 2*u).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/(-304)*(-88)\/6 - (-381)\/35?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*j - j + 23, -3*g = -5*j + 9. Let s be 3\/(30\/106) - 10\/(-25). Suppose 0 = -y - s*y + 60. Sort y, g, 0.2 in descending order.\nAnswer: y, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203 (base 4) in base 7?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + 0\/1. Let x be (-3 + 1)\/(3\/(-3)). Let q = x + -5. What is the closest to b in q, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -42. Suppose -y = 3*j - 54, k = -3*j + 13. Calculate the greatest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14682 + -14705. Let n = 34578.99 + -34555.99000112. Let c = n + v. Round c to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 626217525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 10*z + 15. Suppose 0 = 11*a - 655 + 2932. Let o = a + 220. What is y(o)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12043*w**3 + w**2 + 8*w - 2. Let a(u) = -u**3 + 1. Let d(j) = -6*a(j) - r(j). Let x be d(-6). Round x to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/5760 and -63\/248960.\nAnswer: 2240640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 449400 and 14541300.\nAnswer: 203578200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 7*u**2 - 8*u + 4. Let f be z(-8). Suppose -5*k + s + 442 = 2*s, 3*k = -f*s + 272. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/15)\/n)\/n)\/(n\/(n*n**(-3\/2)\/n)))\/(n**1\/(n**(5\/3)\/n)) assuming n is positive.\nAnswer: n**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 5, f: 4, r: 1, o: 2}. What is prob of picking 1 f, 1 x, and 2 o?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -629175 by -75.\nAnswer: 8389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181978 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: Differentiate -89*a**3*y - 3*a**3 + 8*a*y - 285*a wrt y.\nAnswer: -89*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/5 - 7*v**3\/5 - 164*v**2\/5 - 464*v\/5 - 192\/5 = 0. Calculate v.\nAnswer: -4, -1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682499727 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5147, 9097, 13047, 16997, 20947?\nAnswer: 24897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36\/30*(-9 + 2 - 3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.2, 1090.41, 2 in decreasing order.\nAnswer: 1090.41, 2, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 - 241. Let d = -159.999999834 - m. Round d to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4200125700946 and 2?\nAnswer: 4200125700944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 3, z: 5, c: 4, t: 1, n: 1}. What is prob of picking 1 n and 1 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emmmmmmemmmmmmeeemm. Give prob of picking 3 e.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -4300?\nAnswer: -429a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p - 32. Let u(a) = -2*a + 24. Let j(x) = 2*x - 15. Let q(v) = -7*j(v) - 5*u(v). Let h(o) = -5*q(o) + 2*w(o). Let c(z) = 9*z. Give c(h(d)).\nAnswer: -18*d + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(-5 + 0 + 3 + (-4 + 5 - 2)*(-4 + 4 + 1) - 1 + 3 - 3)*(36 - 4 + 14)*(-3*x + 7*x - 2*x).\nAnswer: -1104*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.7, -74599, 2\/3.\nAnswer: -74599, -0.2, 2\/3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-361)\/(-2888) - (-21)\/(-40).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/(846\/329)*30\/(-2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1234252344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17*(a**(-17)\/a)\/a)**(-2\/21) assuming a is positive.\nAnswer: a**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*z + 38 - 14, -4*z = -16. Solve 5*m - 19 = x + 1, a = m - 2*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(2 + 6*((sqrt(847) + 2)*-6 + sqrt(847) + sqrt(847)*-3*4 + sqrt(847))))**2.\nAnswer: 5334912*sqrt(7) + 281191513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.6 + -11. Let n = 0.6 + -0.7. Let w be 5*((-1)\/5 + 1). What is the nearest to n in -5, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*a + 9*a. Let p(j) = -4*j + 11*j + 6 + j. Let f(u) = -7*u - 5. What is a*p(z) + 6*f(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 11*o + 9. Let p be b(11). Suppose -5*w - p = -169. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = -8. Suppose -w*b = -b. Suppose b = 6*n - 2*n. Solve p + p + 2 = n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmf when three letters picked without replacement from {r: 5, f: 1, k: 1, z: 3, m: 3}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015848 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + 2 + ((sqrt(21)*-1)\/sqrt(7) - (sqrt(3) + sqrt(30)\/(-1*sqrt(10))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Let k(u) = u**3 - 5*u**2 - 2*u - 1. Let n be k(d). Let r = -6 - n. Solve 0 = -r*c - 5, 0*m - 4*m + c + 1 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01953 equal to 0.1052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1151, 6\/5, -7\/90 in decreasing order.\nAnswer: 6\/5, -7\/90, -1151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -275, -189, -73?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.97, -0.16, 1\/4 in descending order.\nAnswer: 0.97, 1\/4, -0.16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -1. Let l = c + 9. Suppose 4*p = l*h + 1 - 9, 5*p + 10 = 4*h. Is h greater than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k**3 + k + 3. Suppose 0 = -b + 4*g - 0*g + 6, -3*b = -2*g - 8. What are the prime factors of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))**23*(i**12*i)\/(i*i**(-1\/2)))**19 assuming i is positive.\nAnswer: i**(-3021\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17*2*10\/(13 + 7). Suppose -92 + 58 = -x*c. Suppose 3 = -4*d - 5. Sort c, -1, d, -4.\nAnswer: -4, d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/31752 and -37\/113022.\nAnswer: 9493848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*t - 71*t - 11 = -4*a, -2*t = 3*a - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, -6307.\nAnswer: -6307, -2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 18*2\/(210\/(-91))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 - 145*s**4 - 1005*s**3 + 425*s**2 + 2770*s - 2040 = 0.\nAnswer: -17, -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9076698237?\nAnswer: 3, 59, 6379, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32022 + -11?\nAnswer: -32033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -18.1. Let t be ((-8)\/6*-3)\/((-594)\/(-81)). Which is the second biggest value? (a) t (b) 0.18 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2. Let v(n) = -11380*n**2. Give v(h(p)).\nAnswer: -45520*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 4*f - 5 + 3, -3*f = -9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 96 = -f, -4*w + 2*f = -3*f + 128. Let i = 73 + w. Suppose 6*r = 5*s + 4*r - 77, -4*r + i = 3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2867 - -2867. Solve -18*h + 17*h - 6 = r for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:37 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (864042 - 864042 + 57*c - 22*c**2)*(1 + c - 1).\nAnswer: -22*c**3 + 57*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/6)*y**(-8))\/(((y**(-1\/20)\/y*y)\/y*y)\/(y**(-8)*y)) assuming y is positive.\nAnswer: y**(-827\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = 6*z. Are z and 1\/33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 9. Let d be 2\/(-8) - t\/(-4). Suppose -4*l + d*l + 9 = 0. Calculate the remainder when 25 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.04 - -0.04. Let n = 3.6 - -1.4. Let b = n + -5.4. What is the closest to f in -2\/3, 0, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24246000 rounded to the nearest 100000?\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 7. Determine j(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:00 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18073 - -16736. Which is the smallest value? (a) -4 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 61. Is 5 a factor of u(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/((-1)\/(-2)))\/((-12)\/(-42)). Let n(s) = 1 - 1 - i - 2 - s. Determine n(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/2375 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 84 + 27)*(n + 2*n - 2*n) + 0*n - 5*n + 2*n.\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8227733, -8227764, -8227797, -8227832, -8227869, -8227908, -8227949?\nAnswer: -8227992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -525.\nAnswer: 15750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/936 and -161\/17082.\nAnswer: 68328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3440426, -6880808, -10321190, -13761572, -17201954?\nAnswer: -20642336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*10\/(-855) + 389\/(-45) + (12 - 1).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/(-21))\/((-43)\/(-129))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by (-2)\/8 + 17\/((-68)\/(-93))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9*x = 5. Let q = 0.1 + -0.1. Which is the nearest to q? (a) -0.3 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(70\/(-66) + (48 - 47))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122, 571, 1242, 2135, 3250, 4587, 6146?\n\"Answer: 111*a**2 + 116*a - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8*i = 30. Suppose -3*j = -i*j + 6. Let x be (1 + -1 - 0)\/j. Is 2\/3 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50086*i + 3*p + 38 = 50085*i, 3*p = -4*i - 35 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(3) + (sqrt(150)\/sqrt(5))\/sqrt(10)) - (6*2*sqrt(108) + (4*(sqrt(108) + -2) - sqrt(108))))**2 + 4.\nAnswer: -960*sqrt(3) + 27677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 35167 = 208*w - 211*w, 0 = i + 3*w - 8785. 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 remainder when 3664 is divided by 71.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -232 + 76. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 31*r**2 + 7*r - 707. Give x(-30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000387809 to 7 dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2433801 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 1:10 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38340273389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 341636?\nAnswer: 1366544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-5) + (0 - 2). Let m be ((-6)\/9)\/(z\/12). What is the second derivative of -6*k**3 + m*k + 0*k - 3*k wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*6*(-16)\/(-12). Let p(b) = -b**2 + 7 - 4*b**2 + b - 9 + k + b**3. Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20785, -41600, -62445, -83320?\nAnswer: -104225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 12. Let z = 35.3 + -37. Let t = z + -5.3. Which is the third smallest value? (a) f (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 35 = -5*g, -4*g - 2 = -3*g + 2*x. Suppose -i = -1 - 9. Calculate the remainder when (2\/g)\/(4\/144) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669.228ug to nanograms.\nAnswer: 669228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 90132.911.\nAnswer: -450664.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, -1.219?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -949\/4, -4, 0.3 in increasing order.\nAnswer: -949\/4, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 4, 42, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(720) + 3)**2 + sqrt(45))*1 + 2.\nAnswer: 93*sqrt(5) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/20 + 7*y**4\/12 + 5*y**3\/6 - 9*y**2\/2 + 3*y. Calculate the remainder when w(7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 28*b**2 - 28*b + 6. What is the remainder when o(12) is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 35. Let s(a) = 42*a + 4*a**2 - 7*a**2 + 11 - 6*a. Let k be s(12). Is 5 a factor of n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1748)\/(-684))\/(8\/(-72))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.4 + 35. Let z = k - 0.6. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/778766 and 67\/10186.\nAnswer: 8566426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/(-9) + -12)\/((-1)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16072752 (base 8) to base 3\nAnswer: 20221222201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Find the first derivative of -442*x**3 + 2*x**2 + 3260.\nAnswer: -1326*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d91c (base 15) to base 13.\nAnswer: -51cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**4 + 12*n**3 + 9*n**2 - 12*n - 12 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/6 + -1*(4 + -16 - -14).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 1\/7 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 - 0\/(0 + 2). Let w(v) = -v - 8. Let j be w(f). Suppose 3*l + j = 1. Let p(q) = 2*q**2 + q. Calculate p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/11357 + 22729\/56785. Solve -v*b**3 + 0 + 2\/5*b**2 + 24\/5*b = 0 for b.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 22 = 8*l + 54 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457?\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2662, -2634, -2626, -2638?\nAnswer: -2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 greater than 284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30850241.\nAnswer: 30850241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/((-4)\/2*545\/(-218)). Suppose -2*n + 2*s = -3*n + 31, 127 = 5*n + 3*s. Sort m, 2, 1, n.\nAnswer: 1, 2, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -7 - -12 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -18*j. Suppose -8*y + 5*y = j. Suppose y*k = k - 2900. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 18*u**2 - 18*u - 14. Let s be p(-17). Let n = -18 + 19. Let i be (n + 8 + 1)*1. Solve 0 = -4*k + f + 3, i = -4*k + 3*f + s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 106\/3, 7, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70249, -281419, -633503, -1126501?\nAnswer: -1760413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (100\/(-15))\/(-10) + 688\/(-6). Let y = 119 + q. Factor -388 - 4*o + 388 + 2*o**y + 2*o**3 + 6*o**2 - 6*o**4.\nAnswer: 2*o*(o - 2)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**22*x*x**(-2\/9) assuming x is positive.\nAnswer: x**(-173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/20 - 2*n**4\/3 + n**3\/6 + 4*n**2 + 4*n. Let o be q(-8). Solve 0 = -2*t - o + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - 30\/(-8). Let b(h) = h. Let m be b(2). Suppose -t = m*x - 3, -5*t + 0*x = -2*x - 27. Sort g, t, 0 in descending order.\nAnswer: t, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/299 and 56\/1755?\nAnswer: 40365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*p - 89, 5*d - d - 74 = -2*p. Solve 3*y - 11 = -2*h, -3*y = -4*h - 3 - d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 5*q**2 - 1 + 6*q**2 - 18*q**2.\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 8. Let q(r) be the second derivative of r**3\/6 - 5*r**2\/2 - r. Suppose 993 + 622 - 300 = -307*p - 834. What is p*q(l) + 5*x(l)?\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 18. Let m = x - 6.2. What is the second biggest value in 4, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 22. Let c be (0 - -4)\/(3\/3). Let k be i(c). Solve 3 = 2*g - 5*h, -h + k = -4*g - 3*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l*l\/(l**1*l)*l)**(-1\/51) assuming l is positive.\nAnswer: l**(-1\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y. Suppose -132*t + 138*t - 624 = y. Does 60 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150425 > -150272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u - 26 + 3 - 23 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.025044 centuries?\nAnswer: 40.25044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754817?\nAnswer: 7, 17, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 15. What is the smallest common multiple of r and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*v + 422*v - 5 = 0, -5*w - 3*v = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 175\/7125*(-1)\/(-5)*(-150)\/(-35)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1250 + -1250.3. Which is smaller: 123 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -685 - -1833. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45 + 5*j**2 + 41 - 126 + 702*j**5 + 42 wrt j.\nAnswer: 42120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4*4\/2. What is the biggest value in -0.4, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q + q - 4*q)*(-4 + 0 + 5) + 2*q - 3*q + 0*q)*(5 - 13 - 97).\nAnswer: 315*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1476895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 3*r - r)*(1 - 4 - r - 3) + r**2 - r**2 - 2*r**2 to y*r + k + m*r**2 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/5)\/j*j*j**(4\/3)*(j**(-2))**(1\/11) assuming j is positive.\nAnswer: j**(289\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -416784968 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.8745kg in grams?\nAnswer: 157874.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*c + 3650 = 423*c + 92*c - 18075 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828*y**2 - 261*y**2 + 12*y**3 - y**3 - 4*y**3 - 5*y**3 - y.\nAnswer: 2*y**3 - 1089*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1001011011?\nAnswer: -1001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 28 + 12 + z)*(161*z - 78*z - 13 - 81*z).\nAnswer: 2*z**2 + 53*z - 429","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-28)\/(-1155)*-11. Let w = -9 - -8.5. Which is the closest to 1? (a) w (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyti when four letters picked without replacement from {j: 1, l: 1, y: 1, c: 4, t: 4, i: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + (-23 - (32 - (-21 + 73)))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h + 2*r - 30 = 0, -5*h = -3*r - 98. Solve -4*u = h - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -7)*23\/46. Suppose -2*n - 2*u = 3*u + 8, 2*n = 5*u + 12. Sort n, -4, k in ascending order.\nAnswer: -4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7184291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = -3*t, 2*t + 7 + 11 = -3*g. Let c be 1\/(-3) + (-25)\/t. Let u = c + -6. Solve u*f + b = 4*b - 2, -5*f + 12 = b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 5*x + 6. Let n be c(4). Suppose 5*y = n*y. Suppose 3*r - s = 4, 5*s - 6 - 19 = y. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61685021?\nAnswer: 5639, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68.1 + -66. What is the biggest value in 3, -0.2, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -39*x**2 - 37*x**2 - 4 + 75*x**2 - 2*x. Let w be h(0). What is the nearest to 2\/5 in 3\/4, 0.06, w, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437922*l*s**2 + 3*l*s + 17*s**2 + 204110322*s wrt s?\nAnswer: 875844*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80089309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5245)\/(-5) - (0 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 + b - 36. Suppose -7*x - 12 = -13*x. Let q(n) = n**2 + 18. Let y(z) = x*a(z) + 5*q(z). Let d be y(6). Let c(l) = l + 7. What is c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1, 0.5, 2, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -11.707, -0.4, 2\/5, 5, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2053*r. Let y(j) = -69432*j**2. What is y(p(x))?\nAnswer: -292642618488*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10820768.12 rounded to the nearest one hundred thousand?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 245, 419, 525, 563, 533?\n\"Answer: -34*v**2 + 276*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from tttccttctttcttttttt.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-20)*1*259\/(243978\/(-628)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 = -n, 5*n = 3*w + 1 + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2139.125 - -2139. What is the nearest to -1\/2 in 1, t, 0.4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 - -1.7. Let u = -12 + t. Which is the biggest value? (a) u (b) 3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 - (-105 - -88 - (-29 - 14))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**5 - 5*b**5 - b**5)*(0 - 2 + 6) - 5*b**3 + 0*b**3 + 3*b**3 - b**5.\nAnswer: -9*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/9 + 2*z\/3 = 0. What is z?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 230799313?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5 - 444*s**4 + 3932*s**3 - 7362*s**2 - 14445*s + 39150 = 0. Calculate s.\nAnswer: -2, 3, 5, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100111101000000 + -111?\nAnswer: 10001100111100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 98, 0, -2.\nAnswer: -2, 0, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/4 + 3*w**4\/2 - 25*w**3\/4 + 9*w**2\/2 = 0.\nAnswer: -9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 = 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18158621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 67. Let b = -55 + 100. Let m = q + b. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 333\/7, -0.2, 1, -1, 2, -1\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.98 + 2.38. Put a, 0.1, -0.2, 3 in descending order.\nAnswer: 3, a, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (196\/784)\/((-1)\/(-3))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117413?\nAnswer: 13, 29, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-855)\/(-114))\/(9\/14730)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:14 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31854 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 20. Suppose h*n - 207 = -n. Calculate the remainder when 137 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 12. Let o(b) = b - 1. Let p be o(-6). Let h = p + s. Solve -4*u = h*w - 36, u = -u - 4*w + 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 30 - (3 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 10*k**4 + k - 10*k**2 - 101*k**5 + 96*k**5 + 4*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 3305?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-7)\/(-42))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k**2. Let p(w) be the second derivative of -w**3\/2 + 24*w. Determine p(z(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 72 = -c + 2*c, -3*c = t - 236. Let a be c + (-2)\/(5 - (4 + -1)). Suppose 3*i = g + 8*i - a, i + 224 = 4*g. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1726*g**2 + 48750*g - 7*g**4 + 6*g**4 - 48635*g wrt g.\nAnswer: -12*g**2 + 3452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -133366 and -133365 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z = -51*z + 15828. Find the second derivative of -5 + 1205*b**5 - z*b**5 + 4 - 56*b wrt b.\nAnswer: -2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, -3, 3 in ascending order.\nAnswer: -3, 3, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.086 - 0.086. Which is the nearest to -17? (a) f (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from {z: 2, u: 2, k: 2, s: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdhhhhjhhjhzgjhjjdd. Give prob of picking 3 h.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30.73464l?\nAnswer: 30734.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 = 2*y - 10, 6 = 5*y - 4*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/626?\nAnswer: -17\/626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(125\/(-15))*(-705)\/(-47)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1316000 to the nearest 10000.\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.0368727 and -20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(51\/(-30))*164\/82.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.83411 or 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110, -217, -322, -425?\n\"Answer: v**2 - 110*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -176.\nAnswer: -176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -51. Calculate the greatest common factor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82760 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.8 + 6. Let g = -0.3 - -0.5. Let i = m - g. What is the second smallest value in -0.5, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 1525*n + 7614. Calculate p(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 297*p**2 - 4*p. List the prime factors of w(4).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 31334*u + 5337. Is l(52) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(d**(-2\/13)\/d))\/d*d)*d**(-5)*(d\/d**8)\/(d*d**(-5\/3)*d) assuming d is positive.\nAnswer: d**(-526\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/3))**(3\/20))**(1\/4) assuming k is positive.\nAnswer: k**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163322909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o + 38 - 6 - 9 - 12 - 7.\nAnswer: -22*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.13 (b) -0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.2 (c) -5 (d) -3\/16 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 25*a - 20*a. Let d = a - 5. Suppose -13 = 2*y - 6*z + z, 3*z - d = 2*y. Sort -1, y, -2 in descending order.\nAnswer: -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**2 + 113*h - 22*h**2 - 112*h)*(-9*h**2 - 11 + 11).\nAnswer: 126*h**4 - 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 388 and -5.\nAnswer: -1940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = z, 3*z - 4 = -4*k + 15. Let n be ((-10)\/4)\/((-4)\/8). Suppose -4*d - 6 = -6. Put k, d, n in increasing order.\nAnswer: d, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256242\/31 or 8265?\nAnswer: 256242\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7735709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c + 3. Let y be i(-2). Let t(g) = -2*g - 1 + g**3 - 6 - 186*g**2 - 142*g**2 + 459*g**2 - 138*g**2 - 2*g**3. Calculate t(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176764?\nAnswer: 2, 7, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4809785785 to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23274 - -23272. What is the closest to 41 in 1\/9, -0.03, a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8478*r**2*s**2 + 780*r**2 - 2*r*s**2 - 1761*r - 2429*s**2 + 1 wrt r.\nAnswer: 16956*s**2 + 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/59 and 15\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.804126980749?\nAnswer: 0.504126980749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 182 = 31*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 16*s**2 - 64*s - 145. What is the remainder when 4896 is divided by u(20)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 24, 0, 2.\nAnswer: -3, 0, 2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**3\/6 + n**2. Let y(x) = -2*x - 4. Suppose -2 = 23*w - 21*w. Determine w*y(f) + 3*a(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/41340 and 55\/2226.\nAnswer: 289380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-3))\/(18\/4 + -4). Let y(u) be the first derivative of -1\/3*u**3 + 3*u - 2 - u**2. Give y(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1065537 > -1065500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1459 (b) -6 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 2. Let s(w) = 4*w + 1. Let u(f) = 5*f + 1. Let x(y) = -4*s(y) + 3*u(y). Let a(b) = 5*x(b) - 2*z(b). Calculate a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/8))\/((-97)\/(-4365)*-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 11*q**2 + 14*q + 6. Let h be f(-9). Let l be (h\/4)\/(12\/16). Suppose l*u = 12*u + 16. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, v: 3, w: 7, k: 2}. What is prob of sequence vw?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.4, -1, -5.\nAnswer: -21, -5, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -809283 (base 12) to base 3.\nAnswer: -10202221112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/625 and 2\/24 - ((-956)\/(-40))\/(306\/255).\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2534, 2536, 2538?\nAnswer: 2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0089, 8, 3.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + (sqrt(1700) - -4*sqrt(1700)*3 - (sqrt(1700)*3 + sqrt(1700) - sqrt(1700))*-1))**2.\nAnswer: 640*sqrt(17) + 435203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 + 12*v**2 + 7*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1172719, -1172674, -1172599, -1172494, -1172359?\nAnswer: -1172194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 590\/190) + -7. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3819*r**2 + 33*r + 62. List the prime factors of t(-2).\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 9*z**2 - 11*z + 7. Let i be p(-10). Suppose i*h - 12*h = 125. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 17, d: 2}. Give prob of picking 2 d and 2 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3978 - 0.5\nAnswer: 3977.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370041*t**2 + 284*t - 284*t.\nAnswer: -370041*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let c(a) = 92709*a**2 + 2*a. Give c(y(p)).\nAnswer: 92709*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007944074?\nAnswer: 2, 3, 773, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**5\/60 - q**3\/3 - 2*q**2 - 2*q. Let c(u) be the first derivative of n(u). What is c(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, -5\/2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -46. Let w be (-9)\/2*(-12)\/u. Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2628*24.2.\nAnswer: 63597.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 3 - 3 + (4*q + 2*q - 5*q)*(1 + 4 - 4) - 1 - q - 5 + 2 + (21 - 8 + 6)*(-4 - 1 + 3)*(5 - 5 - 6*q).\nAnswer: 231*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -4 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 11103683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -17*r**3 - 211*r**2 - 6605*r - 39995. Let p(n) = -7*n**3 - 106*n**2 - 3302*n - 19998. Let i(y) = 2*g(y) - 5*p(y). Let i(s) = 0. What is s?\nAnswer: -50, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6503.892 millilitres to litres.\nAnswer: 6.503892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.6, 5, 2.47, -13, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -399.146762 - -11737.\nAnswer: 11337.853238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*s**2 + 4 + 8*s + 527*s**2 - 3 - 226*s**2 - 1.\nAnswer: 48*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2 + (3 - 6 + 2)*(0 + 1 + 0))*(-2895 + 3020 + 5032 + 7875)*(-m + 0*m + 3*m) in the form u + z*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 1. Let a(z) = 3*z + 8. Let v = -728 - -729. Give v*a(c) - 2*u(c).\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/1134 and -20\/9.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/4 + 4*m**3\/3 - 11*m**2\/2 - 4*m. What is the remainder when ((-8)\/2)\/((-3640)\/(-730) - 5) is divided by p(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(-1) + 192\/16 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 61 + 7 + 9697*l + 9 in the form j + s*l and give s.\nAnswer: 9697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 54 - 184 = 0. What is the greatest common divisor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22304 - -3?\nAnswer: -22301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/24003504 and 17\/1500219.\nAnswer: 24003504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/306, 0, 5, 4 in increasing order.\nAnswer: 0, 1\/306, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Let c be (y - 3)\/((-1)\/1). Factor 4\/3*o**2 + c + 2\/3*o + 2\/3*o**3.\nAnswer: 2*o*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 187*m - 35*m + 91*m - 719 + 44*m - 368 wrt m?\nAnswer: 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2154512 and -54\/979.\nAnswer: 23699632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asss when four letters picked without replacement from {a: 12, s: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39843, -79688, -119533?\nAnswer: -159378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103.181 or -491?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6711075\/29 at most as big as -231415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 1}. What is prob of sequence jj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21383144?\nAnswer: 2, 17, 157229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:00 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((40\/6)\/(2\/3))\/(-2). Let t = 0.1 - 0.4. Which is the second smallest value? (a) h (b) 3\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7693 - -7776. Let d = -19 - 13. Let p = f + d. Calculate the remainder when p is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + z - 169 + 664 = 0, 0 = 5*z - 25. Calculate the remainder when 292 is divided by x.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84e8c (base 15) to base 2\nAnswer: -1100110111110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - (-23 - 0) - -4 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0419*0.02251.\nAnswer: -0.000943169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4 - 4)*(0 - i**3 + 0) + 16*i**4 + 296 - 296 + (4*i**2 + 2*i**2 - 4*i**2)*(-2*i**2 + 3*i**2 - 2*i**2).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b*p**3 + b*p**2 - 1599*b*p*x - b*p + 9*p**3*x - 38*p**2 wrt x.\nAnswer: -1599*b*p + 9*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 - 4173?\nAnswer: -4172.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 92 + 2. What is the greatest common divisor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1404 divided by 4.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/112*((-2)\/7)\/(84\/(-147)). Factor -2\/7*z**2 + 0*z + 0 + f*z**4 + 2\/7*z**3 - 2\/7*z**5.\nAnswer: -2*z**2*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from msuov.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -462 + -8381?\nAnswer: -8853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 283823569?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 20. Suppose -n - 5*l = -29, j = 5*n - 4*n + l. Suppose -31 = -n*v - 3. Solve 2*b = v*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12177 - 18147 = 927*m + 11391 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-8) + (-9 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22*100\/(-880)*(-2)\/50*3\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*(9 - 7). Let z(d) = 3*d - 4 + 2 + 0 + 1. Calculate z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94430, -94437, -94432, -94409, -94362, -94285, -94172?\nAnswer: -94017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3)\/((-4)\/(-82)). Suppose 0 = 4*k + 5*d - 9, -d + x = -4*k + 4*d. Let g be k\/6*42\/(-4). Are 7 and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4cb215 (base 15) to base 7\nAnswer: -43205300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 16*z**2 - 28*z + 100. What is k(14)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 626358520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-1\/10)\/(u**(-2\/17)\/u*u*u*u*u**(-3\/7)\/u))\/((u**(-2\/25)\/u*u**(-1))\/(u**(2\/7)\/u**(1\/8))) assuming u is positive.\nAnswer: u**(40149\/23800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/876 and -71\/3?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -82252.\nAnswer: 1\/82252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627 = 4*p - l - 759, l + 1039 = 3*p. Let r = 10 - 7. Suppose 3*t - p = 2*i, -2*t + r*i = 2*i - 230. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24872542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 2*p - 4. Let j be 235\/75 + 1 + 4\/(-30). Suppose -4*c + j - 12 = 0. Let g(m) = -15*m**3 - 10*m + 21. Give c*g(h) - 11*o(h).\nAnswer: -3*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let x(a) = -8 + 49*a + 8 - 2*a**2 + 3*a**3 - 47*a. Let z(p) = p**3 - p**2 + p. Calculate q*x(i) - 6*z(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + 11.2?\nAnswer: 11.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 421240 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28448754 is divided by 9521.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 21 = 2*n, 0 = 2*t - 5*n + 1323 - 1328 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 126. Is (t\/(-5))\/((-6)\/20) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-24)\/(-30))*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/4 + (-1)\/2. Suppose y*g - 9 = 4*g, 4*t - 2*g - 358 = 0. Is 39 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-98)\/12 + 200\/25. Let r(o) = -o**2 + 5*o - 5. Let q be r(5). Which is the closest to -1? (a) q (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34201034 (base 5) to base 7\nAnswer: -2402111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38287, 38281, 38263, 38227, 38167, 38077?\n\"Answer: -z**3 + z + 38287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -7 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.27 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 358*b**2 - 281*b + 14225. Calculate p(-180).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 578*r**3 - 14*r**2 - 28. Let j(h) = -193*h**3 + 5*h**2 + 10. Determine -5*d(y) - 14*j(y).\nAnswer: -188*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert d81e3 (base 15) to base 4.\nAnswer: 2213113323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10136 and 89\/30408.\nAnswer: 30408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, -3, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -0.09.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -4*h - 2353. Let n = h - 16. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6542.8916 rounded to the nearest integer?\nAnswer: -6543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166 + -89. List the prime factors of w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 397 and 2032243.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -1, 37, -19\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9770 to the nearest 100.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 3. Let b be d(0). Suppose 4*v = -c + 25, 0 = 2*v - b*c - 0 + 5. Put -5, 2, v in increasing order.\nAnswer: -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209813919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-54))\/(4\/26 + (-448)\/208). Which is the nearest to 14\/19? (a) -2\/3 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 - 19 + 19*b + 56*b + 22*b + 14*b - 41*b. Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*l - 650 = 0, o + l - 655 = 5*l. What is the greatest common divisor of o and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 342, 797, 1424, 2217, 3170, 4277?\nAnswer: 5532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 24*s**2 - 14*s + 233. What is the remainder when 57 is divided by k(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1237*v - 3 = -8 + 5. Factor v - 16\/15*z - 2\/15*z**2.\nAnswer: -2*z*(z + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -414 in -0.3, -2\/7, 2, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61678891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, 388, 176, -246, -950, -2008, -3492?\nAnswer: -5474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 404.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 46. Suppose 6*b + 0 - w = 0. Suppose 0 = b*c + 3*u - 126, 3*u + 2*u + 42 = c. Calculate the highest common divisor of c and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p**3 - 30*p**2 - 35859*p - 26. Let f(c) = -4*c**3 + 9*c**2 + 11953*c + 8. Calculate -10*f(n) - 3*w(n).\nAnswer: n**3 - 11953*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6121, 24592, 55383, 98470, 153829, 221436?\nAnswer: 301267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 12 = -15*m. Suppose m*n - 807 = 249. Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**2 + 156*j + 51*j**2 + 35*j**2 - 125*j.\nAnswer: 54*j**2 + 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.4 - -3516.67?\nAnswer: 3499.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(((-8)\/(-6))\/(-4)). Suppose 5*j - 92 = g*y, y + 0*y + 18 = j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2 + 6*g + 2. Let m(b) = -b. Let y(k) = 4*m(k) + z(k). Let s(x) = 3*x - 3*x + 2*x**2. Give y(s(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3177, 3179, 3181, 3183, 3185?\nAnswer: 3187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*n + 2 + 41, 3*n - 53 = -4*b. Suppose 3*y - 4*f = -2*f + 6, -n = -5*y + 5*f. Solve c = 5*g - 7 - 13, c = y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1458 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**9*a*a*a**(-1\/3)*a**(-5)\/(a*a*a**8*a) assuming a is positive.\nAnswer: a**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -658636 * 1.8.\nAnswer: -1185544.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000307043 to six decimal places.\nAnswer: -0.000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 214, 266, 352, 472, 626?\n\"Answer: 17*n**2 + n + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from oopppopppoppopooppp?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-259 + 259)*3\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 8, 1.4.\nAnswer: -5, -4, 1.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u*x**4 - 49*u - 3*x**4 + 97*x**3 + 162*x wrt x.\nAnswer: -168*u*x**2 - 36*x**2 + 582*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 333850518 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6326b (base 14) to base 3.\nAnswer: 110011010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 not equal to 234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 79. Suppose 0 = -2*m - 0*m, -m - u = -4*x. Suppose x*n - 24 = 28. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45693000 rounded to the nearest 100000?\nAnswer: -45700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -15. Let r = 4 + -1. Put -1, z, r in decreasing order.\nAnswer: z, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 1160*s - 85644 = 0. What is s?\nAnswer: -61, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 276.3\nAnswer: 270.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(437\/95)*(-6)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 850 and 4?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 4*h**2 - h - 5. Let u be v(3). Let m be u*6\/9 - 51\/63. Sort 1\/4, m, -2 in ascending order.\nAnswer: -2, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -2*b + 20*b. Find the second derivative of 6 + 3*p - 14*p**3 + 11*p**3 - 5 + b*p**3 + 30*p + 6*p**4 wrt p.\nAnswer: 72*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4\/9, 1\/4, 5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 985904.\nAnswer: 9859040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*s = 54, 2*o = 3*s - 0*s - 18. Let k = -7 - o. Let v = 24 - 15. What is the remainder when v is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -15. Let z be (q\/6)\/(2\/(-3)). Let m be (42\/4)\/3 + z. Which is the nearest to -0.1? (a) -0.2 (b) m (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 - 5. Let b(x) = -x**2 - 2. What is 5*b(n) - 2*m(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/2 - 128205*d**2\/2 - 127039212*d - 64483374504.\nAnswer: -3*(d + 1028)**2*(d + 40679)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 70*n + 12. Let p(f) = -f**3 + 81*f + 11. Give -7*d(c) + 6*p(c).\nAnswer: c**3 - 4*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8, -5*u = -2*n + 6*n - 28. Suppose 4*c - 5 = -3*f, 0*f + c = f - u. Suppose a = -a + 5*y - 3, -f*a = -5*y - 3. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllliwplplpzlpppzpp. What is prob of picking 2 l and 1 i?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)\/(j\/j**2)*j*((j*j**(-5))\/j*j)\/j*j**5\/j)\/((j\/j**0)**(17\/3)*((j**(-1\/3)\/j)\/j)**(-5)) assuming j is positive.\nAnswer: j**(-242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22761 + -546185\/24. Find the common denominator of -2 - ((-618)\/108)\/(8\/6) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + -27. Let t = -28 - m. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1317416ml?\nAnswer: 0.0001317416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9228566l to millilitres.\nAnswer: 922.8566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -38, -75, -134, -221, -342, -503?\n\"Answer: -m**3 - 2*m**2 - 8*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-20)*k**42\/k)**40 assuming k is positive.\nAnswer: k**2480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 - -0.94. Let h = -1 + u. Which is the second smallest value? (a) 2\/5 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p**4 - 3*p**3 - 2*p**4 + 11*p**4 + 3*p**3 + 71 wrt p?\nAnswer: 48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 119.44. Let v = o + 0.56. What is the closest to -2\/3 in -5, -12, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/10 and 1 + -4*2\/28.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1060*u*v**3 - 4*u*v**2 + 2*u*v - 3*v**3 + 5 wrt v?\nAnswer: 6360*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -1. Let r(x) = x**3 + 3*x**2 - 3*x - 3. What is the units digit of r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237689.2 at most 1\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-13))\/2*3\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 669839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1390 * 0.4.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + -12318?\nAnswer: -12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2*(sqrt(108) + 1))**2 - ((sqrt(3) + sqrt(96)\/sqrt(2))**2 + sqrt(3) + (sqrt(21)\/(sqrt(49)\/sqrt(7)) - sqrt(3)))) + -4.\nAnswer: 143*sqrt(3) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 1. Let d(l) = -7*l - 5. Let p(c) = d(c) + 6*x(c). What is p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*q = -4*q - 93, 10*a + q + 33 = -51 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Let p be 0 - -3*(-1)\/6. Let d = -44836.3 + 44836. Which is the nearest to d? (a) p (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/116 and 71\/1392?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77116881935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2 - 21. Suppose -m - 28 = -y - 7, -y - m = -u. Suppose 0 = 5*d - 3*d - y. Sort d, 3, 1.\nAnswer: 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 188. Let o(p) = -22*p**3 - 11*p + 11. Let l(i) = 7*i**3 + 4*i - 4. What is j*l(v) + 4*o(v)?\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2692554 and 36.\nAnswer: 16155324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 48960.\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 15 - (-30 + 21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a factor of 1981635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 113, 170, 249, 338, 425?\n\"Answer: -2*w**3 + 23*w**2 + 2*w + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5 - 2. Let h be (3\/(-36))\/(s\/6). Which is the closest to -1? (a) -1 (b) h (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4219208, -16876791, -37972762, -67507121?\n\"Answer: -4219194*d**2 - d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31266 - 29238. Calculate the remainder when 6091 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-12) + 94\/8. Suppose 3*y = -5*a - j, -5*a = 28 - 8. Suppose -2*h = u - h - 23, -y = -h. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 14, 52, 108, 188?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -5. Let x be (-46)\/(-36) + 2\/p. Let s(q) = -q**3 - q + 2. Let m be s(0). Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -715, -1058, -1401, -1744, -2087?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**3 - 10*s**2 - 4*s.\nAnswer: -2*s*(s + 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1156, -1152, -1136, -1102, -1044, -956, -832, -666?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 10*n**2 - 5*n - 36. What is c(-12)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-12) - 383\/(-6). Solve 3*l - i = 5*h - 59, h + l = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20618 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.9 - -15.9. Let r = h + 80.2. Is r not equal to -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*y**2 + 13836*y + 1299883?\nAnswer: -96*y + 13836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulg when three letters picked without replacement from zuczuuzlguclg.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -331, -1.1, 0.1 in descending order.\nAnswer: 5, 0.1, -1.1, -5, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let q = y - 4. Let v be -5 + 125\/15 + -3. Which is the nearest to v? (a) 5 (b) q (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + 0.7. Let q = 1.1 + -5.1. Which is the smallest value? (a) q (b) x (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 1*(0 - -11). Let f be 58\/15 - o\/60. Suppose -29*z = 18*z + 11*z. Solve -n - 4*p + 12 = z, f*n = -p + 6*p - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 1. Let h be (-1)\/3*(0 - -3). Let y(c) = 3*c**2 - 3*c - 3. Suppose -u = -4, -4*u - u = -2*w - 14. Calculate h*y(i) + w*o(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 - 2*k - 1. Suppose c + 3 + 0 = 0. Let w be u(c). Suppose -w*v - 11 = 3*j, 5*j - 4*v + 3*v - 19 = 0. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4*u + 5*u)*(6*u - u - 4*u) + (0 + 2*u + 0)*(4*u - 3*u + u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*z + 4*f, -z - 1 - 8 = 5*f. Let j = 17 + z. Let n = j - 8. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3993*o - 6*o**2 - 1998*o - 1995*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 - (12 - (-4 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15864 or -491744\/31?\nAnswer: -15864","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 = 4*w + 16, 10 = -2*s - 4*w. Let i(g) = 81*g + 1. Is 13 a factor of i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2 - h + 5 - 7. Let z = -13 - -10. Let i be b(z). Let u(y) = y + 1. Let m(n) = -2*n**2 + 6*n + 3. Give i*m(d) + 4*u(d).\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473608 divided by -473608.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 30. Solve 2*z + 0*z + i = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.153 - -0.1421. What is q rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_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: -28 - -1 - (525\/25 + -20)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 8. Let o be 12\/(-42) - m\/(-7). Is o at least -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - b - 36, 5*b + 13 = -2. Let q = h + -7. Let t(m) = m - 60. Let f be t(65). Solve -q*l - 30 = 5*i, -f*l + l = -4*i + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/58, -1\/8, -1\/9, -19, 4 in descending order.\nAnswer: 4, 3, -1\/58, -1\/9, -1\/8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491 - 0.001?\nAnswer: 2490.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-55)\/20 + 1)*-12. Let r = 12415 - 223415\/18. Let c = 17\/6 - r. What is the third smallest value in b, 0, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7\/d**5)**12)**(2\/49) assuming d is positive.\nAnswer: d**(48\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 10 = -16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001478416 to 6 dps.\nAnswer: 0.001478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**3*m*m))**(2\/17)\/((m*m**(2\/7)*m)\/m*(m\/(m*m*m**(-1\/4)*m)*m)\/m) assuming m is positive.\nAnswer: m**(-3\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11970550, -11970275, -11970014, -11969773, -11969558, -11969375, -11969230?\nAnswer: -11969129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.02, 80, 2 in ascending order.\nAnswer: 0.02, 0.1, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m + 8945 - 2*m + 5*m + 30*m.\nAnswer: 59*m + 8945","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421, -843, -1265, -1687, -2109, -2531?\nAnswer: -2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -21. Let o = h - -5. Find the common denominator of 1 - 2\/o*-118 and 91\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/r**1*r\/r**4*r*r*r\/r**(-5))\/((r\/r**1)\/(r\/((r*r*r**(1\/4))\/r))*(r\/r**(-2))\/r**3) assuming r is positive.\nAnswer: r**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454 a factor of 449952273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 233 + 779?\nAnswer: 9ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18706 - 18621. Solve -d*h - 71 + 411 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710 a factor of 7806394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15.4 in -0.9, 0.08, 252\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3*d - 3*d + d) + (-d - 3*d + d)*(11 - 2 + 2).\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-338)*-2)\/(40\/(-16))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 95.1628 and -0.66.\nAnswer: 94.5028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 10*n**2 - 20*n + 40. List the prime factors of i(-15).\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 373*w**3 - 2*w. Let m(j) = -j**3 - j**2 + j + 1. Suppose -8*u - 14 = -6. Let o(x) = u*c(x) - 2*m(x). Is o(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 371226 + 500?\nAnswer: 371726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)*(0 + 0). Suppose 2*i - 9 = -2*i - 3*o, 2*i - o + 3 = t. Let b = 17\/4 + -5. Is i < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*b**6 + 43*b**2.\nAnswer: 14640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 442?\nAnswer: -14\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3003 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * 59.\nAnswer: -4307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558, -561, -564, -567, -570, -573?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2166, 2172, 2180, 2190, 2202, 2216?\nAnswer: 2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1*z)\/z*z)**(-1\/21)*z**4\/z*z*z**(-1\/6)\/z*z**(-6)\/(z*z**(-3))*z**(-2)*z\/z**(-2\/19) assuming z is positive.\nAnswer: z**(-561\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 357 (b) 1\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 52*b**2 - 6*b + 6. Let s(v) = 53*v**2 - 4*v + 8. Give -3*s(r) + 4*x(r).\nAnswer: 49*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 2*o + 38. Let r be z(0). Let i = 17 - r. Let q be 6\/i - 44\/(-7). Solve 0 = -q*y + y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 49 = -14*d + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 + 4*w**2 + 4. Let o(s) = s**3 + s**2 + 1. Suppose -11*k + 54 = -1. Determine k*v(h) - 20*o(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52530\/211871)\/(3\/33).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142643, -570579, -1283807, -2282327?\n\"Answer: -142646*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -132, -155, -216, -333, -524, -807, -1200?\n\"Answer: -3*g**3 - g**2 + g - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 1 + 3*h + 944*h**2 - 470*h**2 - 475*h**2. Let n(m) = m**3 - 7*m**2 + 5*m + 4. Let x be (8\/(-6))\/((-12)\/54). Let i be n(x). Give z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361800 divided by -72360\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (sqrt(19) + (sqrt(171)*2 - sqrt(19)) + -2*sqrt(38)\/sqrt(2))**2.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*4128\/129?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113644 equal to -115211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:38 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.5. Let o = 34 - 30. What is the third smallest value in o, r, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 830*p**4\/13 - 45646*p**3\/13 + 413120*p**2\/13 + 1675272*p\/13 + 8064\/13 = 0.\nAnswer: -3, -2\/415, 16, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 45 = 5*g - 35, 4*g - 2*z = 22. Which is the nearest to -0.1? (a) -7 (b) g (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3837, 4, -1, 3, 0, 11, 1 in ascending order.\nAnswer: -1, 0, 1, 3, 4, 11, 3837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.53 * -1.1.\nAnswer: 3.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61177 + -28328. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/3)\/((-45)\/10). Which is the nearest to -1? (a) 3\/7 (b) n (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3064, -12234, -27510, -48892, -76380?\nAnswer: -109974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 7*t - 2*t)*((2*t - 2*t + t**2)*(-4 + 4 + 2*t) - t**3 - 2 + 2 + 3*t**3 + 0*t**3 - 5*t**3 + 3*t**2 + 42*t**3 - 39*t**3 - 4*t**2).\nAnswer: 12*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2. Let i be b(2). Let j(l) = -20*l + 37. Let x(c) = -7*c + 12. Let s(r) = -6*j(r) + 17*x(r). Let v be s(7). Which is greater: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1703 in 0.32, 28, -5?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-20))\/((-2)\/10) + 1. Find the third derivative of -205*k**3 + 55*k - 106*k - 112*k**o + 51*k wrt k.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101223 or -101222?\nAnswer: -101222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36010361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5919*0.3\nAnswer: -0.17757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*a - 4 = -20, t - 6 = 3*a. Put t, 2, -2, -5 in decreasing order.\nAnswer: t, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -217, -608, -1155, -1858?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 4*l)*(-4 - l + 4) + 2*l**2 + 2 - 2 + (-4 + 1 + 2)*(2*l**2 - 5*l**2 + l**2) + 2*l**2 + 1 - 1 + 6*l**2 - 3*l**2 + 3*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57018119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((76 - 70) + 41).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or -1864?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 11*u**2 + 30. Let g be w(-11). Solve 8*r - 2*r = -g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.39 * -962\nAnswer: -24425.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/4*(-3 - -215). Let g = v - 979\/2. What is the common denominator of -41\/2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 60\/28)\/((-6)\/84) - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -4\/9*k**2 + 11\/18*k**4 + 8\/9*k**3 - 7\/27*k**6 + 21 + 0*k - 8\/15*k**5. Suppose z(s) = 0. Calculate s.\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Let c be 0 + (-2 - 0)\/(-1). Suppose o - c*k + 8 = 2*k, 0 = k - 2. Solve -3*y + m + 2*m + 6 = 0, 2*y - l*m - 8 = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 235410878 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1267*o - 1262*o = q + 8, 2*o - 3*q + 2 = 0. Suppose -9 = -2*g + 4*x + 5, 5*g - 2*x = 11. Calculate the remainder when o is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, 17, -7 in ascending order.\nAnswer: -7, -3, -2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -113551, -113761, -114111, -114601, -115231?\n\"Answer: -70*i**2 - 113481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405 and 6135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - -1. Suppose 55*m - q*m = -65. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.26513t to milligrams.\nAnswer: 65265130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/2 (b) -53 (c) 1\/7 (d) 7\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 75. Is 9 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/7 + 2535*r**2\/7 + 5091*r + 17843.\nAnswer: -(r - 2549)*(r + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19000 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28988757 and 30?\nAnswer: 289887570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/234 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*i - 21, -4*n - 15 = 4*i - 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(68)*-1 - sqrt(68))\/(sqrt(40)\/sqrt(90))*2)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 298 and 160738.\nAnswer: 23949962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98052335.\nAnswer: 5, 23, 29, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7797 - 7796. Let d = -58487\/23 - -2545. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882 = 554*x - 260*x. Solve -12*q + x*n = -11*q + 3, -n + 21 = 3*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 - -17 - 3 - (7 + 14))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 2:29 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 8\/7 (c) 0.5 (d) 0.362 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482*0.03.\nAnswer: -14.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5111*z + 4392*z - 8628 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**7\/315 + 17*j**6\/90 - 433*j**5\/90 + 68*j**4 - 576*j**3 - 133*j**2 + 1. Factor h(w).\nAnswer: -2*(w - 9)**2*(w - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3 - 108*z**2 + 3654. Determine f so that s(f) = 0.\nAnswer: 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 + g - 1. Let t(y) = -12*y**3 + 25520*y**2 - 54340616*y + 38545604616. Let q(k) = -8*c(k) - t(k). Factor q(r).\nAnswer: 4*(r - 2128)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z + 2. Let x = 24 + -22. What is m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14307958.\nAnswer: 2, 7, 281, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -82 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + 28 = 0. Let w = 595 - 588. Calculate the greatest common factor of w and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -443 + 488. Suppose w*g - 24*g = 84. Solve 2*u + 4 = 0, -u - 26 = g*m - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 11*s + 159. Let y be g(-19). Let b(o) = -4*o + 35. Calculate b(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -309 and 9.865?\nAnswer: -3048.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -4*j - 9*d + 100, -4*d + 88 = 4*j. Calculate the highest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbbbkbbvkbb. Give prob of picking 3 b.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7668462 to the power of 1\/2, to the nearest integer?\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 129959 + 129959.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346360 = 4*x - 3*v - 1333983, x - 420098 = -v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 1152?\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -11101535?\nAnswer: 11101540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/60 + 31*k**2. Let d(o) = -13*o**2. Give c(d(z)).\nAnswer: -169*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**15*v\/(v*(v*v\/(v\/(v**(1\/11)*v*v))*v)\/v))**(-13) assuming v is positive.\nAnswer: v**(2444\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 772*b + 162*b + 291*b.\nAnswer: b**2 + 1225*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -3\/19, -9\/2, -1.2, -0.6?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 50*c + 784. Let n be a(-9). Solve 0 = -4*b + n - 42 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bobbophbhboppbbbphbo. Give prob of picking 1 b and 2 o.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 6*j)*(-2 + 2 - j)*(2*j - 6*j**2 - 2*j).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 9120?\nAnswer: -9123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 20*c + 60 = 41*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.5 + 214.9. Let n = l - -7.8. Round n to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126, 112, 98, 84, 70, 56?\n\"Answer: -14*o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:31 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19640136*l + 17426978?\nAnswer: -19640136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*z = 273 + 707 + 170 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -1\/7 (c) -12 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -2, -157, 3 in descending order.\nAnswer: 108, 3, -2, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + r + 156 = 16*r for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 11*y**2 + 16*y - 43. What is f(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 27834 + 43673 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1143505, 2286950, 3430395, 4573840, 5717285, 6860730?\nAnswer: 8004175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.558372 rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**7\/63 + 2*k**6\/45 - k**5\/30 + 17*k - 43. Let u(j) be the first derivative of s(j). Factor u(l).\nAnswer: -2*l**3*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10265311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/56*-4)\/((-57)\/(-6))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0812? (a) -0.139 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 7*t**6\/360 + t**4\/4 - 4*t**3\/3 + 6. Let u(j) be the third derivative of b(j). What is the first derivative of u(w) wrt w?\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 42455 = -2*j, -8096 = -2*u + 3*j + 8886. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 28370880.\nAnswer: 28370880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1 - 3*j + 2*j + 5. Let d(g) = g**2 + 11*g - 22. Let c be d(-13). Suppose -5*o = c*l + l, -4*l = -3*o + 35. Give p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:38 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*t + 1 - 8 = 0, t + 9 = -5*u. Let p be (-5 + -3 - -2)\/(-1). Let m(i) = 8*i + 5. Let b(v) = v + 1. What is p*b(w) + u*m(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-28)*(-13)\/((-208)\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 8*m - 25 = 4*h + 63, m + h + 2 = -2*h - 4 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 4 - 0)*8. Let y(i) = i**2 - 7*i - 6. Let t be y(n). Factor -1\/5*g + 0 + 1\/5*g**t.\nAnswer: g*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94650, -189301, -283954, -378609, -473266, -567925, -662586?\nAnswer: -757249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.264914km to meters.\nAnswer: 2264.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5496, -5500, -5504?\n\"Answer: -4*m - 5492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11*l**3 - 6\/11*l + 4\/11 - 4\/11*l**2.\nAnswer: 2*(l - 1)*(l + 1)*(3*l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -5*q**2\/2 - q + 2. Suppose 4*j = -j - 10. Let z = 3 + j. What is x(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6372 + -5928. Solve -8*g = 468 - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 80 = 3*v, 3*p - 4*p - 28 = -v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576 and 1296.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08939437 and -11099?\nAnswer: 11098.91060563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Suppose 6*p = t*p. Suppose -5*j + 10 = p, 2*j = -2*c - 0*c + 68. Is 32 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11439 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 7 + 17. What is the lowest common multiple of 6 and (x\/(-4))\/(5\/(-40))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-14)\/7)\/4*1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58155262 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 56*y - 136 = 0. Sort -1\/9, -0.4, 0.18, y in increasing order.\nAnswer: y, -0.4, -1\/9, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576916499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -5, -2, -1 in descending order.\nAnswer: 32, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*w + 20*w + 22*w + 27*w - 900*w**2 to the form p*w + q + g*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110)\/22 - 656\/(-2). Let t = 436 - o. List the prime factors of t.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.3312 bigger than 347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + 63*m**2 - 19*m - 33. What is x(21)?\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7028071 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*v - 34 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -47*a**5\/5 + a**4\/2 + 10*a**3 - 59. What is the third derivative of w(s) wrt s?\nAnswer: -1128*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-224)\/(-20)))\/(378\/441).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 5, v: 2, b: 2, p: 6}. Give prob of picking 1 p and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(0 - 35\/(-63))*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6818093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 65*l + 137. Let i be g(67). Let h = -3 - -2.7. Sort 4, 2\/13, h, i.\nAnswer: h, 2\/13, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2420\/(-550))\/((-2 - -3) + 18\/(-10))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2825 - 0.3. What is m rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from pvngggnooovotgovot.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (25 + -25)\/(3 - 2). Let c(z) be the first derivative of 3\/2*z**2 + r*z + 4\/3*z**3 + 3. Find the second derivative of c(o) wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**3 - 2216*s**2 + 77587*s - 20532.\nAnswer: -(s - 29)*(s + 177)*(15*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1464 and 37\/2448.\nAnswer: 149328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*3)*-6*6)\/(sqrt(108)\/((sqrt(96)\/sqrt(8) + sqrt(12))*6)).\nAnswer: -1728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2 + 28*m - 75. Let r be x(7). Is 56 a factor of 13390\/25 + (-5)\/(r\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/61 - -195\/244. Let x = 0.42 - 0.02. Let k = 971\/35 - 190\/7. Which is the nearest to k? (a) -1 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321073202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Let k be (o - -2)\/(-1) - -1. Let j be (k - (2 + -3))\/2. Solve x + j = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i\/i**(-2)))**(-2\/59))**(-14\/11))**17)**(-1\/41) assuming i is positive.\nAnswer: i**(1428\/26609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*c + 201*c = -135 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 less than -15?\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-15)\/(-1 + (-3)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 108*g = -104*g - 17410, 86987 = 5*k - g. List the prime factors of k.\nAnswer: 2, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2562, 10337, 23318, 41505, 64898, 93497, 127302?\n\"Answer: 2603*j**2 - 34*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351 (base 9) to base 7.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -858222802*h**3 + 9*h - 18964624?\nAnswer: -5149336812*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 12, -1\/6, 19\/2, 1.\nAnswer: -0.3, -1\/6, 1, 19\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2. Let n = 326 - 321. Let j(g) = -7*g + 20*g - n*g - 7*g. Calculate j(b(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 28*t**2 - 848*t - 5848. Calculate f(-7).\nAnswer: 1460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 - 2. Let t be g(2). Suppose 2*d - d = t. What is the least common multiple of 4 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mommmkmoookomkmmmoo. What is prob of picking 2 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 26*l + 5. Suppose 40 = 4*t - 4*p, 103*p = -t + 102*p + 14. Calculate s(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-18 - -2) - ((-68 - 35) + 107)) + 69?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*b + b - 86, -4*b = 8. Suppose 4*u - 22 = 3*u. Let f = u - 9. Calculate the remainder when p is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30159.79 nanograms in grams?\nAnswer: 0.00003015979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -35. Let b be ((-10)\/w)\/(2\/(-40)). What is the third smallest value in 1\/2, 0.4, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1474, 2936, 4398, 5866, 7346, 8844, 10366?\n\"Answer: r**3 - 6*r**2 + 1473*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*m - 778*m + 545*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5812043 is divided by 111770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2808.92238 to 1 dp.\nAnswer: 2808.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -0.2 (c) 4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from qbtqctgp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -2, -5 in descending order.\nAnswer: -0.3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91 - -952?\nAnswer: 9e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11719 + -3114a?\nAnswer: -1a531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = -7*p. Let m = -25 - -25. Suppose 4*j - 29 = -5*d, -4*d + 2*j + 25 + 19 = m. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1\/504*c**8 + 1\/36*c**4 - 1\/45*c**5 + 0*c + 0 + 1\/315*c**7 + 1\/9*c**3 - 1\/90*c**6 + 3*c**2. Suppose h(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h + 3*x, 4*h = 3*x - x + 42. Suppose r = -r + h. Suppose -2*p = -6*p + r. Is p equal to 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102043507*h + 95191785 wrt h?\nAnswer: 102043507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x - 66. Let i be y(3). Let h(t) = -t**2 - 18*t - 26. Calculate h(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d + 1. Let q = 4 - -2. Is a(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*c**3*i**3 + 2*c**2*i**3 + 26*c**2 - c*i**3 wrt c.\nAnswer: 798*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let o(f) = -2*f**2 + 212. Calculate o(q(a)).\nAnswer: -2*a**2 + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 468\/338*(-20)\/55*(2 + 69\/(-18))\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -36*i**4 - 15*i**2 - 4*i. Let m(f) = 108*f**4 + 46*f**2 + 11*f. Let k(y) = -11*d(y) - 4*m(y). Find the third derivative of k(p) wrt p.\nAnswer: -864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-357)\/49 + ((-33)\/(-6) - 23\/46).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161 - 161 + 102*t)*(44 - 44 + 5*t + 2*t**2) to s*t**2 + y*t**3 + j + c*t and give y.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*c = -631*c + 84 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9813680 at most -9813680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.96858 times 0.67\nAnswer: -0.6489486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/170 and -55\/18.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3588, 7187, 10798, 14427, 18080?\nAnswer: 21763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -78*s**3 + 548*s**2 - 37*s + 166. Determine f(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.94 + -43. Let s be 9 + (-423)\/45 - 3\/(-20). Which is smaller: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 11453?\nAnswer: 45812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 90*o**2 + 3*o - 2. Let y = -10 + 15. Suppose y*c + 7*w - 5 = 2*w, -5*c = -5*w - 35. Let d be j(c). What is d rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c - 3*t + 2*t, 0 = 3*t - 15. Suppose 4*o - 20 - c = 0. What is the units digit of (4\/3)\/(4\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**7\/2 - 4*s**3 - 17*s - 10. Let c(i) be the first derivative of f(i). What is the second derivative of c(o) wrt o?\nAnswer: 420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1222372064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2231614, -2231604, -2231594, -2231584, -2231574?\n\"Answer: 10*u - 2231624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 106374 = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24556793, 24556784, 24556769, 24556748?\n\"Answer: -3*r**2 + 24556796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -6 (c) -265552\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12 and -47\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 1061726?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775699980?\nAnswer: 2, 3, 5, 11, 31, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-4))\/1)\/(6\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 337.9\nAnswer: -342.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 40*f - 56*f = -17325. Calculate the smallest common multiple of 75 and f.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -3, 1 in ascending order.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2707, 5418, 8129, 10840?\n\"Answer: 2711*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557*u = 566*u - 17226. What is the greatest common divisor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from ljjlljljtjljjlttjjjt.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 8*z - 1. What is the units digit of a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237074796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*l + 18 = 4*l, -5*n + 4*l + 24 = 0. Suppose 19 = 5*z - 31. What is the smallest common multiple of z and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 + d**2 + 8*d + 10. Give g(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149900, 299775, 449650, 599525, 749400, 899275?\nAnswer: 1049150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -1\/6, -17, 2, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 14*w + 20. Suppose -11*v + 7 = -w*v. What is the highest common factor of v and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xntttnnnnnttttnyny. What is prob of picking 2 t and 1 n?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -177*m**2 + 5*m - 2. Let b(f) = 353*f**2 - 8*f + 5. Let h(i) = -2*b(i) - 5*w(i). What is the second derivative of h(x) wrt x?\nAnswer: 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -185, -686, -1183, -1676, -2165, -2650?\n\"Answer: 2*t**2 - 507*t + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-4) + 0 + 3. Factor 8*r**2 - 8*r**w - 8*r**3 + 0*r + 0*r + 4*r**5 + 4*r**3.\nAnswer: 4*r**2*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = -78. Is b > 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/9319310 and 47\/50323.\nAnswer: 736225490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + sqrt(171) + sqrt(304)*-1)*3)*-6 + 2.\nAnswer: -16 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 8:31 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l**(1\/7)\/l))*l)\/l*((l*l\/l**(-1\/15)*l*l*l)\/l)\/l*(l*(((l\/(l**(-3\/20)\/l*l))\/l*l)\/l*l)\/l*l*l)\/(((l**(13\/3)*l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(851\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*x + 5*c = 70, -12*c + 8*c = 652*x - 617*x - 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 125\/5 + -3 - 0. Let o = w + -71. What is the units digit of (-36)\/(-21)*o\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 219887*g**4 - 389069.\nAnswer: 879548*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h**2 + 2. Suppose -3*i + 4*p = 22, 0 = -4*i - 0*p - 2*p - 44. Let l = i - -16. Let v = -8 + l. Calculate d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -51 + 9 + -9 + -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 15*b + 25. Does 10 divide s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1143?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1575 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 28184, 1\/42, 1\/5.\nAnswer: -3, 1\/42, 1\/5, 0.3, 28184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -4*f - 3*g, 4*g + 24 = 4*f. Suppose l = 15 + 1. Let i be (-2)\/6 - 8\/(-6). Solve -i = f*h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10945, 10915, 10885?\nAnswer: 10855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w**2 + 3*w + 4. Let s be u(-2). Solve -4*c - 3 = -2*y + y, 5*c = -s*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 2*x**2 + 2*x + 3. Give a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 + 90\/(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbyncbncbnbcncnbbccn. What is prob of picking 2 c?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47215.\nAnswer: 5, 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 4, -4\/9, -1, -5\/6.\nAnswer: -1, -5\/6, -4\/9, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yooooooooooo. Give prob of sequence yo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353099 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + (sqrt(147) - (sqrt(147) - 3*sqrt(147)*1)))\/(sqrt(24)\/(sqrt(24)\/sqrt(3))))\/(3*(sqrt(7) - (sqrt(84)\/sqrt(3))\/sqrt(4) - 1*sqrt(28))).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 239432 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s + 1. Let j(z) = 4*z**2 + z - 2. Let c(y) = 4*y**2 - 1. Let o(q) = 3*c(q) - 2*j(q). Let p(f) = 5*g(f) - o(f). Determine p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2143, 2148, 2153?\n\"Answer: 5*k + 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137450447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*r + 3*r + r)*(-16 + 5 - 1) + r - 5*r + 3*r)*(-122 + 5*r**2 + r + 0*r + 120).\nAnswer: -65*r**3 - 13*r**2 + 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 12 = -16*x. Suppose -x = -3*z + g + g, 5*z - 15 = 5*g. Suppose 11*c - 1918 - 11931 = z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 6. Let p(v) = v - 1. Suppose 0 = -7*r + 3*r, -r + 12 = 2*j. Determine j*p(i) - g(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1404*l - 164393. Calculate y(117).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6313162823?\nAnswer: 11, 17, 33760229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -40*v + 43*v + 17, -5*s = -8*v + 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 127500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 - 3*a + 9. Suppose 3*l + 15*f = 10*f + 14, -2*f + 11 = 3*l. What is h(l)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Suppose 0 = -9*u + 33 - 15. Let l(x) = -51*x**2 - 106*x**2 - 203*x**u. Give l(f(n)).\nAnswer: -1440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -26. Suppose 2*i + 4 = -0, 0 = 2*f + a*i + 70. Let j = 42 + f. What is the remainder when 70 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 141481006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121)\/1870*(-1062)\/(-5841).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 117. Let x be w(0). Let a be x*-1*(-692)\/12. Is (a\/(-6) - -2)*(1 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = y + 2*t + 34, y - 2708 + 2810 = -6*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.85 - -10.45. Let r = 26 + -20.5. Let s = 6 - r. Sort -5\/3, n, s, -1\/8 in increasing order.\nAnswer: -5\/3, n, -1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.095 - -14.095. What is the closest to 1 in -1\/2, -0.37, k?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.4, 0.3, -550, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/11 + 5540*r\/11 - 5538\/11 = 0.\nAnswer: 1, 2769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/(4\/(-30)). Suppose -s - 3*n + q = -0*n, -5*s = 3*n - 13. Suppose x = -s*o - 3 + 6, o - x = 6. What is the greatest common divisor of 24 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-12) - 10\/60?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44805 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -82, -192, -354, -574, -858, -1212, -1642?\n\"Answer: -q**3 - 17*q**2 - 6*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.2 - 2.2. Let h = 6 - d. Let v = -11 - -10.8. Put h, v, -0.6 in decreasing order.\nAnswer: v, -0.6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003634217138 rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*q**2 - 11*q**3 - 1 - 27*q + 56*q - 29*q wrt q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17884422131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -y + 22 + 18, y + 5*c - 32 = 0. Suppose 5*j + 2 = y. Suppose 38*v - 33*v - 20 = 0. Solve 5*k + 27 = -0*k - 3*q, 0 = v*k - q + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6234887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9531, 9620, 9707, 9792, 9875?\n\"Answer: -a**2 + 92*a + 9440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12620 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 710362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:18 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s**2\/2 + 35*s - 12 = 0.\nAnswer: 4\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d**2 - 4. Let s(f) = f**3 - 15*f**2 - 3*f + 47. Let y be s(15). Determine o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 0.3. Let p = 16258 - 16255. Put p, 0.1, o, -0.3 in decreasing order.\nAnswer: p, o, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1498780321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4628100 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3108 and 805056.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -185760 (b) 5 (c) -5 (d) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + z)*(-1 + 2*z**2 + 1) - 2*z**3 + 0*z**3 + z**3 - 47 - 101*z**3 + 31 + 17 in the form u*z**3 + n*z**2 + l*z + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 14*t - 31 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**2 - 9*o - 37. Let t(d) = -1. Suppose -16 = -4*l, 4*f - 2 = 3*l - 18. Give f*y(r) + 3*t(r).\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*l = 29, -l + 2*l + 79 = 2*b. Let r(h) = -4*h - 79. What is the remainder when b is divided by r(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (2 + -21 + -41 + 52).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + c**2 - c. Let f(q) = 450*q**4 - 8*q**3 + 3*q**2 - 3*q + 604. Let y(l) = f(l) - 3*x(l). Differentiate y(j) with respect to j.\nAnswer: 1800*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 188262, 190869, 195210, 201285, 209094, 218637, 229914?\n\"Answer: 867*b**2 + 6*b + 187389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 534, 0.2, 51, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224 - 240) + (31 - -3) - 81.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:58 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.6685 milligrams in micrograms?\nAnswer: 602668.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 10 + 7 + (-13 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9722.1700033 + 9723.27. Let j = v + -1.1. Round j to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:08 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8013, 8023, 8043, 8079, 8137, 8223, 8343, 8503?\n\"Answer: i**3 - i**2 + 6*i + 8007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - y**3 - 60 + 3*y + 60. What is j(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 225540*r**3 + 143285*r**2 wrt r?\nAnswer: 1353240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 9. Suppose -7 = -3*k + 38*v - 40*v, 5*v = 25. Which is the third biggest value? (a) k (b) 4 (c) q (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 30*o + 13. Let l be i(7). Let p(y) = -y**2 + 1. Let d(t) = t**2 + 5*t**2 + 2*t**2 - 6 + 2*t. Let s(z) = l*d(z) - 6*p(z). Factor s(w).\nAnswer: -2*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2839*i**2*y**2 + 32*i**2 - 2*i*y**2 + 52*i + 12*y**2 + 5*y wrt y?\nAnswer: -5678*i**2 - 4*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 31788\/81 - 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1374 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*m - 26 + 4 = 0, -3*m - 40 = -4*f. Let y be 16 + (1 - (4 - f)). Let x = -23 + 23. Solve x = -b - 3*b + y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -9*x**6\/8 - 261*x**5\/10 - 3351*x**4\/16 - 667*x**3 - 1587*x**2\/2 + 309. Solve z(u) = 0 for u.\nAnswer: -23\/3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*t = -6572, 5*i - 8*t = -12*t + 32871. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 658, 649, 640, 631?\n\"Answer: -9*b + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:40 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1322188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 20.05.\nAnswer: 10.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80663*i - 80663*i + 87306*i**3 - 87309*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6408 divided by -72.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5867 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 1. Let i be b(1). Suppose i*s - 225 = 471. Suppose 2*x + 14 = s. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 3*p + 2*p)*(-12 - 35 + 1) to the form r + f*p and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/21 + v**4\/12 + v**3\/2 + 9*v**2\/2 + v + 13. Find the second derivative of n(h) wrt h.\nAnswer: 40*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 70 = -y + 2*y, 0 = -3*z - y + 214. Let b = 102 + -144. Let j = z + b. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 17. Let y(t) = t - 11. Suppose 2*h + 4*h + 48 = 0. Let r(j) = h*y(j) + 5*q(j). Suppose -k - 2*p + 6 = -6*k, -18 = 5*k + 4*p. What is r(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 2 (c) 351 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -6*l + 2*l + 4*t, 5 = 5*l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - -5881.8593?\nAnswer: 5833.8593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 2. Let r be d(-3). Let l be (-2)\/r*(4 - 4). Solve -2*c - j = -c - 2, l = -5*c - 3*j + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k**2 - 2*k**2 + k**2)*(-498*k**2 + 1128*k**2 + 606*k**2).\nAnswer: -18540*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + c)*(-3 + 1 + 1) + 0*c + 21*c + 16*c + (-4*c - 2 + 2)*(-4 + 5 + 2).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163692?\nAnswer: 2, 3, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207411 is divided by 137.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -13.8. Let z(k) = k**2 + k - 1. Let t = 1 + -1. Let v be z(t). Which is the biggest value? (a) -4 (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/77620 and -7\/38810.\nAnswer: 77620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**26)\/(o\/o**(2\/19)) assuming o is positive.\nAnswer: o**(496\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*y = -0*o + 112, 0 = 4*o + 5*y - 141. What is the highest common factor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185904 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: What are the prime factors of 90430?\nAnswer: 2, 5, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18900*b*j + 19146*b wrt j.\nAnswer: -18900*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/10)\/(1127\/(-140) - -8). Suppose -46*v = -r*v + 60. Solve -y - y = -v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -30*k**5\/7 - 3051*k**4\/7 - 29562*k**3\/7 + 25992*k**2 - 51840*k\/7 = 0.\nAnswer: -90, -16, 0, 3\/10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -14, -53, -138, -287?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 226\/8 - (-2)\/8. Let v = d - 29. What is the second biggest value in v, -1, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, b: 3, m: 3, l: 3}. Give prob of picking 1 d, 2 b, and 1 m.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g + 16. Let m(f) = f - 1. Determine -3*k(q) - 48*m(q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5126121 divided by -1287?\nAnswer: 3983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 + 5*n + 9. Let d be o(-3). What is the highest common factor of 120 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let r(o) = -188695*o. What is a(r(v))?\nAnswer: 377390*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.16 (b) 7740 (c) -29 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.6220706 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -13*m**2\/2 + 6*m + 77. Calculate o(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 24 = -30. Suppose -4*b + 442 = -o*a, b - 3*a = 4*b - 327. What is the remainder when b is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 6*b**2 - 11*b - 7. Let z be t(-4). Suppose 2*h = 4*c + 298, -271 = 3*h - z*h - 5*c. Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/15 - i**4\/2 + 4*i**3\/3 + 41*i**2 - 1. Factor w(s).\nAnswer: 4*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 169497.1g?\nAnswer: 169.4971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15113350, -15113349, -15113348, -15113347, -15113346, -15113345?\n\"Answer: q - 15113351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 398628?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 267573979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3719.48 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -523334.1 rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8673*a**5 - 13*a**2 + 273*a wrt a?\nAnswer: -520380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -40644607 in ascending order.\nAnswer: -40644607, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from mjijmxjzj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 + 4*i**2 + 2*i - 1. Calculate z(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -113, -118, -125?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4990 = -2*l + 5*u, 0 = l - 2*u - 1007. Let t = l - -109. What is t rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:48 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, i: 2, g: 3, z: 5, t: 6}. What is prob of picking 1 k, 1 t, and 2 g?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiiyaaiayayy. Give prob of sequence yi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 359504 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.5, -11, 5, -0.047.\nAnswer: -11, -0.5, -0.047, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/36, 95, -269, 4, -0.4, -0.3 in decreasing order.\nAnswer: 95, 4, -1\/36, -0.3, -0.4, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005318 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 8*n - 2. What are the prime factors of h(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38600 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 3*n + 4. Let l be i(-2). Let r be 0 - (15\/l + 2)*6. Is r bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43545297*g**4 - 43*g**2 + 88288.\nAnswer: -1045087128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/22 and 29\/1558530?\nAnswer: 17143830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/214081 and 45\/519911.\nAnswer: 3639377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:22 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by 3.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 27 = -5*p - 2*p + 2*p + 4*t, 0 = -8*t - 24 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (17 + -13 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -485245*0.2\nAnswer: -97049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 + 28 + 5 + 1 + 115497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -5 + -5*(sqrt(304)*1 + sqrt(19)) + sqrt(152)\/(sqrt(80)\/(sqrt(250) + sqrt(10))))**2 + 0.\nAnswer: 190*sqrt(19) + 6884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/280 and 107\/2464?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**2 + 2*b - 1. Let c(w) = -w**3 + 13*w**2 - 14*w + 25. Let p be c(12). What is a(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -75, -126, -189?\n\"Answer: -6*o**2 - 21*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 91896519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tketjtktjjmjjjjeejje. What is prob of picking 2 t, 1 e, and 1 m?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156656 is divided by 10365.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10488492 and -5?\nAnswer: 10488497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -377, -11, -1, 558 in descending order.\nAnswer: 558, -1, -11, -377","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + 14682986 - 14682986.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 77\/15 + (-14)\/105\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 846 and 752.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/8 - 6\/(-24). Let x(s) = s + 10. Let g be x(u). What is the remainder when 46 is divided by (g - 12)*(-16)\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 79*d**7\/210 - 11*d**4\/24 + 9*d**2. What is the second derivative of j(t) wrt t?\nAnswer: 948*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*(-5)\/(-15) - 54\/(-16). Which is the smallest value? (a) i (b) -3 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*x**2 - 58*x**2 + 99*x**2)*(0*x**3 + 0*x**3 + x**3).\nAnswer: -40*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -755716\/531 != -1423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662.4*-1.\nAnswer: 662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11615738.67 rounded to the nearest one hundred thousand?\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5315, -5316, -5317, -5318, -5319, -5320?\n\"Answer: -w - 5314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.156 + 160.844. Let t = y - 151. Which is the third biggest value? (a) -0.3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100010111011110 + -100?\nAnswer: 1000100010111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-120)\/21. Let c = i - -204\/35. Which is smaller: c or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.6 + -11. Let i = 126 + -127.81. Let b = i - -1.51. What is the second smallest value in 2\/11, b, f, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16 + 5 - (2 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280*a + 170*a + 16*a)*(-a - 2*a**2 + a).\nAnswer: -932*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -2. Let x = 1491 - 1489. What is the fourth smallest value in a, 3, -1, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 30. Let y(m) = -2*m - 14. Let t be y(u). Calculate the greatest common factor of t and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -0.5, -6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let v(b) = -b**3 - 7*b**2 - 4*b + 14. Let s be v(-6). Let a(y) = 3*y**s - y**2 - y**2 - 4*y**2. Calculate f(a(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3 + 1. Let r = 4 + v. Solve r*x = -x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 16*i**2 + 20*i + 55. Let j be b(-17). Is 14 a factor of 75 + (-18)\/j + 27\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:31 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 35 = -7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563*j + 669 = -560*j. What is the remainder when j is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let a be r(-1). Suppose 0 = -o + a*o - 6. Let d(u) = u**3 - 5*u**2 - 5*u - 4. Let c be d(6). Solve -3*h - c = w, o*h = -4*w - 6 - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/(-80) - (-9)\/(-15)) + 1068. Calculate the greatest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3393 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-7) + -124*(3 + -5). Calculate the highest common factor of a and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*v - 36 = -167*v. Let w be ((-3)\/(-46))\/((-12)\/(-32)). What is the smallest value in v, w, 1, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8 + -0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2118\/18*(2 - (-33)\/(-12)). Let s = -88 - t. Let x = -4.88 + 5. Is s not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199400284?\nAnswer: 2, 49850071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.186 - -0.486. Which is the nearest to 1? (a) t (b) 2\/5 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66112 + 16?\nAnswer: 66130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(-2\/9))))**(29\/5))**44*(l\/(l\/(l\/(l**(4\/9)\/l*l))))\/l**(1\/5)*(l**(-1))**(17\/5) assuming l is positive.\nAnswer: l**(1759\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004886274 to seven decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59793 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 - 7068*q**2 + 7624296*q - 112760640 = 0. What is q?\nAnswer: -2526, 15, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 765972120 a multiple of 3890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 - 30 = -26*q. Let a(d) = -6*d**3 - 4*d**2 - 5*d + 2. Let h(s) = 7*s**3 + 5*s**2 + 6*s - 3. Give q*a(z) - 4*h(z).\nAnswer: 2*z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 272518 - 2a?\nAnswer: 2724aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200312*h + 6864 = -200224*h for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 4*m = -35*m + 26*m + 42*g - 512, -5*g = 4*m - 76 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least as big as 1239300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-5) - (0 + -5). Suppose i*d + 14 = -37. Let c = d + 55. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 117*s**2 - 62*s - 367. What are the prime factors of j(55)?\nAnswer: 2, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 4 (b) 1\/6 (c) -6 (d) 232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l**2 + l. Let x(q) = 4*q**3 + 2*q**2 - 7*q. Let u(b) = 14*s(b) + 2*x(b). Find the third derivative of u(r) wrt r.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276442 or -276443?\nAnswer: -276443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**3 - d**2 + 1. Let z be t(1). Find the second derivative of -32 - z*o + 32 + 7*o**4 wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4348 is divided by 723.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210321 - 10?\nAnswer: -210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k + 4*k - 10*k**3 - 8*k**3 wrt k?\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2. Let q(u) = -2431*u. What is q(s(x))?\nAnswer: -38896*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100021000 (base 3) in base 16?\nAnswer: -3b502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 + -129365871?\nAnswer: -129365623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22451592 a multiple of 1101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-7 - 1) + 20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 6) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -532, -782, -1012, -1216, -1388, -1522?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/15 - 36\/(-15). Let b = 5 - z. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*h = 1075 - 29 + 520 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:44 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -139 in decreasing order.\nAnswer: 3, 1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*h - 17522, h + 52601 = 383*d - 380*d. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9700905215?\nAnswer: 5, 89, 139, 156833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(5\/4860). Calculate the greatest common factor of 72 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 9:45 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2\/3 - 1394554*o\/3 - 2510100.\nAnswer: -2*(o + 139450)*(5*o + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 3:12 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2958 - 3*k + 2984 - 5730 + (-k + 0*k + 3*k)*(4 - 1 - 2) to the form z + a*k and give z.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 93*f**4 - 116*f + 238. Find the first derivative of o(g) wrt g.\nAnswer: 1116*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1497 and 5245488?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/873 and -20\/9.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1009\/24 - 319\/8. Let x be 3\/(-6) - 495\/530. Let t = x + 2039\/424. Find the common denominator of t and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 808 and 3402488?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 20\/(-24) + 4670\/(-12). Which is greater: l or -390?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9629564111 and 3637.\nAnswer: -9629560474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1045*m**4 - 2*m - 2687 wrt m.\nAnswer: 4180*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*i - 240*i - 3253 = 135*i + 2855 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -2293217\nAnswer: 1146608.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/12 - 124\/(-24). Suppose 5*h + b*n - 75 = 0, 3*h - 33 = -h + 5*n. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (67 + -7)*(-2 - (-33)\/2).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 + 0*p**2 - 8*p - 9 - 10*p**2. Give i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 1 - h)*(2 + 1 - 2).\nAnswer: -h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*n - 1024 - 695 = 900 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 57*p - 41. Calculate z(-26).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 14*h**2 - h + 5. Determine b(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263\/24 greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12861, 25760, 38745, 51858, 65141, 78636, 92385, 106430?\nAnswer: 120813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -71, -118, -155, -176, -175, -146, -83, 20?\n\"Answer: j**3 - j**2 - 51*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 - -300.872\nAnswer: 300.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.6 + 6. Let w = -1.5 - k. Let t = -48 + 238\/5. Put w, -1\/4, t in decreasing order.\nAnswer: w, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 713236160 divided by 448\nAnswer: 1592045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 74. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.436 - 0.4360119. What is j rounded to 7 dps?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.250631 litres in millilitres?\nAnswer: 1250.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 2 h when four letters picked without replacement from {o: 1, g: 2, r: 4, s: 7, h: 3, v: 1}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0848 + -20.0848. Which is the closest to p? (a) -0.5 (b) -0.3 (c) 1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/80*-27 + (-451)\/44 + 10. Is 0.85 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5 + 13. Let q be (1 + s\/4)*10. Does 2 divide 0 - (2 - q - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/(1\/1). Sort 3\/5, a, -1 in ascending order.\nAnswer: -1, a, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -518*n - 262. Determine w(-1).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/25 and -61\/795?\nAnswer: 3975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 10:53 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(150) + sqrt(150) + sqrt(150) + sqrt(150)*2 + sqrt(150)))\/((sqrt(160) - sqrt(10))*-4))\/((sqrt(9) - 3*-1*sqrt(9))\/(sqrt(576)\/sqrt(12))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44692147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f = -106*f + 123380. Solve f*l = 792*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/3*(-753)\/(-52208)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-946*w + 632 - 4107*w - 318 - 314 + 311*w)*(-4*w + w + 2*w) in the form b*w**2 + u + z*w and give b.\nAnswer: 4742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 26 - 11 + 3 - 2*u**2 - 2*u**4 - 6*u**3 to the form v*u**4 + a*u**3 + h*u + n + x*u**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.4 (b) -0.16 (c) -34 (d) -2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 554615369 a multiple of 2303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5091107, 5091101, 5091095?\nAnswer: 5091089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241740352 - 5?\nAnswer: -241740357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c959 (base 15) in base 7?\nAnswer: -4143402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17060 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*y - 165 = -192*y + 4*d, -y + 2*d + 59 = 0. Solve -9*x + 25 = -y for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**3 + 14*p**3 + 16*p**3 + 8*p**2)*(3 - 5 - 6) as c*p**2 + x + r*p**3 + h*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-4))\/(-1)*(4 - (-17 + 19)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 + -6.27. Let y = -3.6 - -4. Which is the closest to -1? (a) p (b) -2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/6 + 4)*-6. Let c be -2 - (-24)\/x - 0. Suppose 5*r + 20 = 0, -4*z = z - c*r - 401. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - v = 33, 394465*b + 5*v = 394465*b - 165 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + -7 + 48 + -48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*(2 - 25\/14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 85. Solve w = 5*w - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11344620 - -3?\nAnswer: 11344623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-1 - 3) + (21 - 11) - -31)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*s + 17, -3*x + 5*s = 2*s - 3. Suppose -3*m = -5*t + 10, -4*t + 9*t = 4*m + 5. Suppose -1 = m*q - 16. Is x not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1853456337871 and -0.027.\nAnswer: -1853456337871.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3 + 9. Let s be (1 + 6\/q)\/1. Let u = -1.1 + 5.1. What is the third smallest value in s, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g = -8107 - 1853. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*y = -346*y - 34253 - 54197 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 18. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 6058066?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7697, 74014, 254031, 604598, 1182565, 2044782?\nAnswer: 3248099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 + 87742*g - 40532448\/7.\nAnswer: -(g - 614128)*(g - 66)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/55*175\/(-21). Suppose 95 = 4*s - 25. Calculate the highest common divisor of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3256\/(-32) - 2\/8. Let p = 105 + o. What are the prime factors of 87\/6 + p\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 11*w**3\/3 + 21*w**2\/2 + 17*w. What is the first derivative of t(f) wrt f?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 2\/5, 0.3, -0.3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3843?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*z + 245*z**2 + 241*z**2 - 354*z**2 wrt z?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 4)*(77*y + 84*y - 24*y) + 0*y - 3*y + 4*y - 9 - 3*y + 9 + (-2 - 3 + 3)*(-4*y + 0*y + 6*y) - 1 + y + 1 in the form m*y + r and give m.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000398484 rounded to 7 dps?\nAnswer: -0.0000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30213, -60428, -90605, -120726, -150773?\nAnswer: -180728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*z - 24 = -k, -2*k = 3*z + 13. Let a(c) = 2 + 1 + k + c. Let x be a(-5). Put x, -2, 3 in increasing order.\nAnswer: -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 3)*(-3*c + 3*c + c) + 10*c + 74*c + 12*c.\nAnswer: 100*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgg when three letters picked without replacement from {g: 2, h: 1, r: 1, d: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 18. What is the tens digit of t\/1*14\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22177 = 31*c + 81*c - 108191. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-110)\/2 - 4 - -1. Let d = b + 63. Calculate the greatest common divisor of d and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289.7*-23.416.\nAnswer: -6783.6152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*q - m, 0 = -3*q + 6843*m - 6847*m + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 47*k - 209. Let b = -1 - -19. What is the remainder when q(5) is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 52. What is s(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - f - 4*f - 3*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**14)\/q**(-18))**(-2\/41) assuming q is positive.\nAnswer: q**(-10\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/80)\/(20\/(-15)*6\/60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226754081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 96*v - 625 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509229.\nAnswer: 1509229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 15) to base 6.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5845, -5844, -5843, -5842, -5841, -5840?\n\"Answer: l - 5846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/6 or -1994?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -441475 + 307592. Let i = 1010414999\/7547 + j. Let r = 671691\/30188 + i. Find the common denominator of r and 9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -27*d - 56 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1507*l*p + 549*p - 2 with respect to l.\nAnswer: 1507*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 11990.\nAnswer: 3\/5995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 4*d + 2. Let m be q(4). Let i(x) = -x + 17*x**m - 18*x**2 - 3 + 4. Let y(w) = -5*w**2 - 4*w + 6. Give 6*i(v) - y(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*z + 0)*(z + z - 5*z) + 0*z**2 + z**2 + 2*z**2 + (-2*z + 2*z - 2*z**2)*(-91 + 338 - 630) in the form h + k*z**2 + y*z and give k.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 53. Let k be -3 + 0\/r - (1 + 16). List the prime factors of (1 + (-10)\/6)*3090\/k.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 79822220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.606078 rounded to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, a: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**2 - 26*m**2 - 17*m**2 + 43*m**3 + 5*m**2 + m**3 - 3*m**2 + 62*m**2.\nAnswer: 44*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43012388507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1080)\/(-1500) - (-1 - 9\/(-5))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 5*y + 2. Let j = 16 + -21. Let o be h(j). Suppose -21 = 5*q - o*q. Is -9 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Let m = 1 - -2. Let g = m + k. What is the least common multiple of 3 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2437*w + 2740*w - 1700*w - 403260 = -3855*w for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 - 9*p - 171. Let y(u) = 7*u**2 + 11*u + 170. Determine 5*k(h) + 4*y(h).\nAnswer: -2*h**2 - h - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -83*h - 1186. Determine w(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -378074 (base 9) in base 10?\nAnswer: -228973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/((1\/1)\/1). Let o = -7 - f. Suppose -o*i + 2 = -3*i. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52450 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 1:11 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -2 + 5 - -1. Let l = 252 - 248. Put x, 0.5, l in ascending order.\nAnswer: 0.5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 11*i = 3*c + 466, 2*c + 19098*i = 19103*i + 195 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 - 2*p**3 - 4*p**3)*(-52 - 36 - 79)*(0*p**2 + 5*p**2 - 3*p**2) - 10*p**5 - 21 + 21.\nAnswer: 324*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6791 - -3.251.\nAnswer: 6794.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5915348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*s, 0 = -4*u - 2*s + 7 - 1. List the prime factors of 9*(-42)\/(-42)*61*u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0 + 1)\/1. Let v be 20\/15*(3 - g). Suppose -5*m + 4*h - 53499988 = 0, -5*m = -m - v*h + 42799988. Round m to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 91. Let z be a(26). Let m = z - -29. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3499 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3 - 2 + 3 + 1. Let d(h) = -2*h + 8. Let m(f) = 3*c(f) + d(f). Give m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 3958*n**2 - 11000164*n - 13549632488\/3.\nAnswer: -(n - 6118)**2*(n + 362)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 - s**4\/12 + s**3\/6 + 9*s**2\/2 + 2*s. What is m(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42631, -42624, -42623, -42628?\nAnswer: -42639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*i + 2751 = 11595 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 367\/679 + 3\/97. Let t be 14\/4*(-8)\/(-70). Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*12*(-2)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgjj when four letters picked without replacement from {j: 3, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 304, 384, 402, 358?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m - 1. Let n(s) = -4*s + 1. Let h(b) = 10*n(b) + 6*r(b). Suppose 5*k + 6 = 31, 4*c - 13 = -5*k. Give h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 195*q**2 - q + 28. Calculate s(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5288960 divided by 16\nAnswer: -330560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29\/174*90\/(-24)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 15391 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**21*v)*v**(-6)*v assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 11. Let c be y*(-1 - 0)\/2. What are the prime factors of c\/(-13) - 6417\/(-117)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 4186912.\nAnswer: 4186912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25891224641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 2*w + 3. Let o be j(-2). Let b(i) = 8*i - 4. Let y be b(1). Let c be (5 + -9 + 14\/y)*-2. Solve -5*f - 5*l - o = 8, 0 = -2*f + l + c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -29, -15, 5, 31, 63, 101?\n\"Answer: 3*u**2 - u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2006, 14, 3, -2, -1 in descending order.\nAnswer: 14, 3, -1, -2, -2006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -13. Let j = 11 - 8. Suppose j*x - a = 2*x. Solve 0 = m + 3 + x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435 by -3.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3 - (-8)\/(-4)). Is -2\/9 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*m - 30686 + 30686 - 312*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:41 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2493*b. Let r(m) be the third derivative of -m**4\/24 + 2*m**2 + 377. What is r(w(c))?\nAnswer: 2493*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*h + 163 = 187*h + 5*g, 2*h - 12*g + 209 = 57 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + s + 6*s)*(4*s**2 - 4*s**2 + 10 - s**2) + 1 - 1 + 2*s**3.\nAnswer: -10*s**3 + 120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, f: 8}. What is prob of picking 1 f and 1 t?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -55\/9, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghh. What is prob of sequence gh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1337164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -466*a**3 + 14119*a wrt a.\nAnswer: -2796*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3075 = -453. Factor -74*r + x + 233*r - 117*r + r**2.\nAnswer: (r + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/6 + 13*u**2\/2 + 6*u. What is the remainder when 122 is divided by g(-18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-10) + (-5)\/(-25). Suppose 0 = -n*i - 5*o + 17 - 2, -2*o = -5*i + 50. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(35)\/sqrt(5)) - (sqrt(19) + (sqrt(190)\/sqrt(5) + sqrt(38))\/sqrt(2))) + 5 + (-4*(1*sqrt(19) - sqrt(19)) + 1 + sqrt(475))*-4*-2.\nAnswer: 13 + 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000011011011000001 + 1101?\nAnswer: -1101000011011010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxhp when four letters picked without replacement from xgxhmopxxhphxxxx.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*c = -58, -3*c = -865*n + 862*n + 30 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 2 - (70 + -53)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/24 and -7\/17537164.\nAnswer: 105222984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 22*z**2 + 89*z + 6. Let u(x) = 5*x**2 + x + 1. Calculate j(q) - 4*u(q).\nAnswer: 2*q**2 + 85*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001791652 rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 39*m - 11. Let o be r(5). Let h be ((-27)\/2)\/((-3 - -7)\/o). Does 41 divide -2 - h\/(-6)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2034*o**5 + 727*o**3 - 4330*o**2 - 364*o - 2 wrt o.\nAnswer: -122040*o**2 + 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-50))\/((-12)\/45))\/((-1)\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883710?\nAnswer: 2, 3, 5, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19760 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 12 = -2. Let z be (-3)\/(-6) + (-3)\/f. Put -6, z, -3 in descending order.\nAnswer: z, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0. Let d = -1.1 + i. Let c = 0.06 + 3.94. What is the nearest to d in -1, c, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - q - 11 - 1, z - q = 3. Let p = -0.06 - 0. Let u = p + -2.94. Which is the third biggest value? (a) -2\/21 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 14*s**2 + s - 13. Let g be w(14). Let t be 0\/2 + 1*20*g. Suppose -15*i = -t*i + 140. Solve -3*c = c + 3*p + i, -4*p = -2*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 = t + 5*m, 0*t - m = -3*t - 2888. Let s = -648 - t. What are the prime factors of s?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*1\/(3 + -1). What is the common denominator of 1 - (0 - 67\/10) and (n\/(-12))\/((-5)\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(153)\/(sqrt(9)*-3)*-3)**2 + 0 - (-1 + -2 + (0 + sqrt(425))**2)*3.\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/14 + (4 - (-108)\/(-28))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18635731 and 3587?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-3)\/(3\/(-19)). Suppose 2*m - 57 = -3*y, -q = 2*m - 3*m + y. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*f - 107*f + 3*c = 52305, -5*c + 26149 = 2*f. Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 17. Suppose p = u + 2*p + 2, -5*u + 2 = -p. Suppose u = 5*r - 1 - x. Solve r*s + 5*b = -1, -4*s - 2*b + 6 = -0*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 84400.47 micrograms?\nAnswer: 0.00008440047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5541451441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -56\/11, 1, -0.5, 8966?\nAnswer: -56\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**1*m)\/m)\/((m*m**(-8\/5))\/m))**(-3\/20) assuming m is positive.\nAnswer: m**(-27\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 2}. Give prob of sequence ggk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*b**3 + 2\/9*b**2 + 2\/9*b - 2\/9.\nAnswer: -2*(b - 1)**2*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52033561 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5821 - -5824. What is the biggest value in 4, a, 2, 954?\nAnswer: 954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 717759 and 6489?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - 3*h + 2. Let z(j) = 7*j**3 + j**2 - 7*j + 5. Determine 5*l(f) - 2*z(f).\nAnswer: f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 2*p**4 + 2*p**2 + 3*p - 5*p**4 - p**4 - 6*p as h*p**3 + k*p + t + r*p**4 + o*p**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1066 + 1b908?\nAnswer: 1c970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, and 1 j when three letters picked without replacement from {y: 1, u: 4, l: 2, j: 6, q: 4, a: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 439.46178 * -5\nAnswer: -2197.3089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = -26*z - 117. Is -7 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51551054 to the nearest integer?\nAnswer: 7180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9)**(1\/18) assuming l is positive.\nAnswer: sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = -4*s, -h + 4*s = -s + 8. Let x(g) = -4*g**2 + 3*g**2 + 3*g**h - 5*g + 7 - g**2. Give x(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 411\/10 + 0\/(-6). Let h = g + -2514\/65. What is the common denominator of h and (274\/(-72))\/((-4)\/(-12))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10073405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-24) - 1\/(-2). Suppose -2*j - 3*h + 124 = -259, -3*j + a*h + 597 = 0. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -25. Let l = k + 5. Find the second derivative of -l*j**5 + j - 12*j + j wrt j.\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18561 - 18517. Let z(m) = -m**3 + 42*m**2 + 86*m + 83. Calculate z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 5*n**4\/4 - 65*n**3 + 75*n**2 - 880. What is the second derivative of x(o) wrt o?\nAnswer: 30*o - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14587450 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**1\/(v**(-2\/7))**(-30))\/(((v\/(v**(-2\/3)\/v))\/v**(-2\/5))\/(v\/(v*v**0\/v))**(-3\/10)) assuming v is positive.\nAnswer: v**(-2423\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 21, 2281.\nAnswer: 21, 54, 2281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/6 - (4 - 3)*2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-30)*4\/(-140)*-25?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (sqrt(612) + (sqrt(612) - -2*sqrt(612)) + sqrt(612) + -3))**2 + sqrt(272)*-1 + 3.\nAnswer: -148*sqrt(17) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -24, 30, 122, 264, 468, 746, 1110?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -31*w**3 + 11*w - 11. Let t(s) = -10*s**3 + 4*s - 4. Suppose 2*b + 324 = -2*j, -74 = -2*b + 3*j - 423. Let g = 163 + b. Give g*q(x) + 11*t(x).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + x - 19 = -5, -14 = k - 3*x. Let h = 9 + -14. Sort k, h, 2.\nAnswer: h, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = 4309050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.9999984 + 35. What is i rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673303.2 meters in nanometers?\nAnswer: 673303200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -29*w. Let c(i) = 39*i**2. Give c(b(q)).\nAnswer: 32799*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 15. Is 10 a factor of (2 - (2 + v))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 79.9999906. Round x to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 324?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/9, 9, 7.7.\nAnswer: -4\/9, 2, 7.7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5\/4, -2\/3, 0 in increasing order.\nAnswer: -6, -5\/4, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 0 - 7*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4\/8*-4)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (81081\/(-28) - 3)\/((-2)\/(-16000)). What is d rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*i + 2*i + 27*i - 1421 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**7\/105 + w**6\/12 + 7*w**5\/30 - 5*w**4\/12 - 2*w**3 - 38*w**2. Factor x(z).\nAnswer: -2*(z - 6)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187 - 63*j**2 - 159 - 415 + 2*j**3 + 140 wrt j?\nAnswer: 6*j**2 - 126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 189, 265, 317, 339, 325, 269, 165?\n\"Answer: -u**3 - 3*u**2 + 110*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b**2 + 2. Let g(h) = -6*h**3 - 5*h**2 + 7. Determine -g(i) - 5*m(i).\nAnswer: i**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 15 - 66*l**2 - 31.\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -11. Suppose -k - k = -l. Suppose k*r = -r. Which is bigger: r or -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 5988*f**2 - 53528*f - 59520.\nAnswer: -4*(f - 1488)*(f - 10)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 69*f**2 - 69*f**2 + 51 - 40*f**3 - 1120.\nAnswer: -40*f**3 + 5*f - 1069","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4 - 36*m**3 + 108*m**2 - 108*m = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let f(x) = 2*x**2 - 29*x + 1. Let l be f(14). Let q(p) = -33*p + 4. Let o(c) = -15*c + 2. Let r(a) = l*o(a) + 6*q(a). Calculate m(r(v)).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100000000100011011 (base 2) in base 12?\nAnswer: 59664b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 - 15741*g**2 + 94433*g\/6 + 188890.\nAnswer: (g - 94445)*(g - 4)*(g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - w + w + (0 + 3 - 2)*(-1 + 1 - w))*(2*w**2 + w**2 - 5*w**2).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:07 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 48*p + 1. Calculate t(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*t - 3. Let d be 3*t\/(-3)*5. Find the third derivative of -5*l**4 - 3*l**5 + 3*l**2 + d*l**4 wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, -958, -83, 4.\nAnswer: -958, -83, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6359.295 months in millennia?\nAnswer: 0.52994125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98355797 take away 1918?\nAnswer: 98353879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -575 - -575.473. Let y = g - 0.1006. Let x = y - -0.0146. What is x rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {h: 2, n: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -559.8 + 559.891415. Round v to 3 decimal places.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 + g**4\/6 + g**3\/3 - 841*g**2. Let j(o) = o**2 - 3*o - 2. Determine -5*j(a) - 4*r(a).\nAnswer: -a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(204)*6 + sqrt(204) + sqrt(204)*-5*5 + sqrt(204))\/((6*(sqrt(72) - (1*sqrt(72) + sqrt(72))) - sqrt(72))\/((-1*sqrt(66))\/sqrt(11))).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8*b - 18 = -3*b, -3 = -5*d - 4*b. Solve 1\/5*k + 1\/5 - 1\/5*k**2 - 1\/5*k**d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(76) - (sqrt(76) - ((sqrt(76) - ((-1*sqrt(76))**2 - sqrt(76)))*2 - sqrt(76))))*4 - ((-5 + sqrt(475))*1*3)**2).\nAnswer: -5104 + 474*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 31*z**2 - 3*z + 15. What are the prime factors of n(-8)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 2*s + 101. Let h be q(11). Factor 0 + 9\/4*f**h + 3\/2*f.\nAnswer: 3*f*(3*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 2*u. Let x = 24 - u. Suppose 6 + 2 = 4*m. Calculate the smallest common multiple of m and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/1350*-5)\/(-1 - 21\/(-18))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 68*i**2 + 300*i - 950. What is l(-63)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*i - 3*l + 18744, -l = -i - 3749. Let h be (i\/12)\/((-4)\/(-12)). Let a = h + 1424. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.79 + 0.21. Let b = q + -24.9. Which is smaller: b or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 835*t + 101. Give s(1).\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 1. Let c(w) = -w**2 + 8*w + 7. Suppose 7*f - 10 = 11. Let b be (f - 1)*52\/8. Suppose b + 5 = -3*r. Calculate r*g(j) + c(j).\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(-4*d + 6*d - 1 + 2) to the form n + a*d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:22 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 2*x - 10. Let f be m(6). Suppose 15 = -9*d + f*d. Solve 3*p - 7*p = d*z + 6, -z - 4*p = 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -556 + 561. Suppose 1512 = -6*j + 8*j + 4*k, 0 = -s*j - k + 3807. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182450189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (90\/(-4))\/(318\/(-3392)) is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -1377.\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1198 + 1396. Suppose 5*x = j + 866. List the prime factors of x.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12465 - 74777\/6. Let j be ((-6)\/(-4))\/(6\/8). Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 32.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1705*r**3 + 95*r**3 - 145*r**3 + 91*r**3.\nAnswer: 1746*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14*77\/66?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*w**3 + 754*w**2 - 97580*w.\nAnswer: 198*w + 1508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -46*n - 835. Give f(-19).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**2. Suppose -1 = -3*h - 7, -o + 4*h + 10 = 0. Let r(m) = -4*m + o*m + 0*m. Determine v(r(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 50 = -92. Let s = o + 103. Let f = s + -29. Put -1, f, -0.3 in descending order.\nAnswer: f, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341\/90 + 39\/10. Let s = -2.82 + 6.82. Sort 20\/13, s, x in increasing order.\nAnswer: x, 20\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t + 106. What are the prime factors of z(-10)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*l - 11, 2*l - 21 = -3*y + 4*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621, -1242, -1861, -2478, -3093?\nAnswer: -3706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16745 is divided by 4122.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 236, 229, 204, 161, 100, 21?\n\"Answer: -9*i**2 + 20*i + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 240, 307?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8332 - -9604. Solve 1267*y - t*y = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 115\/(-35) - (-4)\/14. Let r be 267\/12 - -1 - u\/4. What is the remainder when 82 is divided by (r\/2)\/3*(-17)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6978 - 1499.\nAnswer: -8477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175748 (base 12) to base 2.\nAnswer: -1100010100011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68821 less than -19322769?\nAnswer: -19253948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948562757 to the power of 1\/2, to the nearest integer?\nAnswer: 44143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441354392.\nAnswer: 2, 55169299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165049706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at least as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -0.5 (b) -5\/4 (c) 0.088 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237330 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-37)\/(-5). Suppose 45 = 3*u - 0. Let r = u + l. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -10\/17, 0.1, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 201585 divided by -5\nAnswer: -40317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a. Let p(v) be the second derivative of 5*v + 0 + 0*v**2 + 1\/2*v**3. Determine p(t(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 302, 1007, 2190, 3857, 6014, 8667?\n\"Answer: d**3 + 233*d**2 - d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -3. Let k = 3.6 + -0.6. Let a = -12 + 11.7. What is the third smallest value in a, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 18\/(-9)*(-6)\/12. Is -183\/41 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1385*u - 1386*u - 200*u**2 + 46*u**2 - 15*u**4 wrt u.\nAnswer: -360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 17. Let m be d(5). Suppose -22 = -3*p - 4*j, -4*j + 6*j = -5*p + m. Solve -p*i - 1 = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2638, 2723, 2866, 3067, 3326?\n\"Answer: 29*i**2 - 2*i + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 2214 + 524 = 0. Calculate the remainder when n is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 70*f - 459. Calculate n(10).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - (5 - (5 - -5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-126) + 85\/210?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * 7992.\nAnswer: 647352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 1. Let h = 117 - 116. Let u be h*(5 + (-24)\/3). Give q(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266 = -37*d + 1451 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(300) + (sqrt(300) + (-4 + sqrt(300) + -4 - sqrt(300)))**2 + sqrt(300) + (sqrt(300) - 5*(sqrt(300) + 0))).\nAnswer: -900*sqrt(3) + 1820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*i - 2*i - 158 = 0, -3*q - i = -88. Suppose 4 + 26 = -2*y - 5*t, 31 = -3*y - 4*t. Let j = q + y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*y + 13524 + 52255, 0 = -4*y - 5*g + 52613. Is y a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:48 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 134102894 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/455 or 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -9. Let g(h) = 283 - 283 - h**3 - h**2 - 4*h. What are the prime factors of g(k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167744?\nAnswer: 2, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289 divided by -208593.\nAnswer: -289\/208593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/42 and 119\/192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1067447797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104320 + -2?\nAnswer: 104315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90391789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0299 + 8.0299. Sort -4, -3, q, -4\/3 in increasing order.\nAnswer: -4, -3, -4\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509773.7 millilitres in litres?\nAnswer: 509.7737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/3 + 676*u + 171366 = 0. What is u?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, -1437, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 3. Let c(b) = b**2 + 6*b - 4. Let v be c(-6). Let g be i(v). Let j(m) = -7*m + 2 + 2*m + g. Determine j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + 112?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 555 + -551. Let z(q) be the third derivative of 0*q**3 - 1\/24*q**u + 0*q + 0 - q**2. Let y(j) = -j. Calculate z(y(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -1.8658\nAnswer: -4.29134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(52)\/(sqrt(8)\/sqrt(2)) - sqrt(13)) + (sqrt(13) - (sqrt(13) - 1*sqrt(117)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3918\/(-344784))\/((-1)\/(-6))?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 76*j + 4. Let h be u(1). Suppose -13*t = -12*t - i - 107, -3*i + 463 = 4*t. Calculate the greatest common divisor of h and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*a**3 + 575*a**3 - 290*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y**3 - y**2 - 3*y - 2. Let b(d) = 17*d**3 - 2*d**2 - 4*d - 3. Let z(t) = -2*b(t) + 3*n(t). Determine z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t + 10. Let i(d) = 6*d - 6. Let w(m) = 5*i(m) + 3*z(m). Let g(k) = k. Let h(v) = 6*v. Let x(o) = 27*g(o) - 4*h(o). Calculate w(x(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 15*n - 37. Suppose -n*z = -10*z - 664. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 4\/(-8))*-8. Suppose 0 = -k*v + v + 3. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 699 + -96. Let g = -251 + q. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 9 + (-81)\/9. Let d(t) = -2*t**4 - t**3 - t**2 + 2*t. Let f(y) = -15*y**4 - 40*y**3 - 80*y**2 - 35*y. Let x(m) = p*f(m) + 5*d(m). Factor x(v).\nAnswer: 5*v*(v + 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0*w**2 + 5 + 0*w**3 + 4*w - 1\/42*w**4. Factor t(z).\nAnswer: -2*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)**11*(p**(-1)\/p*p*p*p)**(2\/15))**(-2) assuming p is positive.\nAnswer: p**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 - b - 1. Let c be w(1). Find the second derivative of c*p - 27*p - 8*p**4 - 6*p**4 wrt p.\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 124 = -22*p + 73 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3863884 to 3 dps.\nAnswer: 0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011101100011001001 + 110001?\nAnswer: -10011011101100010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from vddvvydvddvvv.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h - 2. What is the derivative of h + 3*y**2 - 4*y**2 + 2 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, -2, 0.3 in increasing order.\nAnswer: -2, 0.3, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-100))\/(3\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 17*g**2 + 7*g - 17. Determine v(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.0195825 - -0.0602625. Let q = o + 11.93. Let y = q + 0.029. What is y rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -644997572 and -644997569 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 4*q + 4. Let v be ((-23)\/(-69))\/((-2)\/(-24)). Suppose -f - v*w - 3 = 0, 2*f + 0*w - 3*w = -6. Calculate s(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*r - 1392*r + 10171*r.\nAnswer: 9527*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - 4) - (-25 - -26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1211, -2563, -8853, -17659, -28981, -42819?\n\"Answer: -1258*w**2 + 2469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3081 is divided by (-4 - 22\/(-5))*(-1 + 3370\/20)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**2 - 2*b + 2. Let z = -246 - -240. Is j(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*m + 1056*m = -2*t + 67, -2*m = 10 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1979280246 and 13.\nAnswer: 1979280259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -116610, -5, -3 in increasing order.\nAnswer: -116610, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89.54 + 89.52. Sort 0.06, -15, d in descending order.\nAnswer: 0.06, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.08338*20.4\nAnswer: -144.500952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let p be o(10). What is the second derivative of -8*t**3 - 6*t - 10*t**2 + p*t**2 - 15*t**3 wrt t?\nAnswer: -138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 6*d - 23 - 17*d)*(-3*d**3 + 3*d - 3*d) in the form j*d**2 + w*d**4 + a*d**3 + h + i*d and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 50, 38, 12, -34, -106, -210?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094196 minus 52262.29?\nAnswer: -1146458.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86458144*k*v**3 + 16*k*v**2 - 127*k - v**2 + 35*v wrt v.\nAnswer: 518748864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 7*k**2 - 4*k - 7. Let b(j) = j + 6. Let t(a) = a**2. Let v be t(0). Let s be b(v). Let f be m(s). Solve f*y = -5 + 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by -33090?\nAnswer: 23\/3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiikiui. What is prob of picking 1 u and 1 i?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 14 = -38. Sort s, -5, -29 in ascending order.\nAnswer: -29, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5440 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*a**2 + 184*a**2 + 8624*a**3 - 186*a**3.\nAnswer: 8438*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/42)\/(1\/9). Let s be (a\/28)\/(-3 + 2). Sort 4\/5, -0.4, -4, s in increasing order.\nAnswer: -4, -0.4, s, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1470053, 2940144, 4410283, 5880494, 7350801, 8821228, 10291799?\n\"Answer: 4*l**3 + 1470063*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 48 - 4*b)*(b + 0*b + b)*(-6 + 2 + 2)*(0*b + 4*b + b) + (4*b**2 - 2*b**2 - b**2)*(-2*b - b + 2*b).\nAnswer: 79*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 41 = 3*g - 10, 3*g + 2*q - 51 = 0. Let f be (-4354)\/(-8) - (-26)\/(-104). Calculate the highest common factor of f and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 3598.45?\nAnswer: -39582.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9815 by -5.\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 240 = 2*f - z, f - z = -78. Let a = 85 + f. Solve 0*m = a*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2. Let i(y) = -6*y**2. Suppose -2*g - 2*g = -20. Let j = -4 - -7. Give g*b(d) + j*i(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(-4)*84\/(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 5 + (-1)\/1 - -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2422 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3404144780 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 7. Is q at most as big as 15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**2*t**2*z**3 + 5*p**2*z + 44440*p*t**2*z + 2806*p*t*z**3 - t*z**3 wrt t.\nAnswer: -2*p**2*z**3 + 88880*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**4 - y**2 - 7*y**4 + 18*y**4 - 2*y - 5*y**4 - 6*y**3 as o*y + b*y**4 + k*y**2 + g*y**3 + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185850?\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**3 + 382321828*t**2 + 764643644*t + 382321820 = 0?\nAnswer: -95580455, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -2280209149?\nAnswer: 2280209155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence box when three letters picked without replacement from eeoooexoooaaaaoooboe?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3775206 rounded to four decimal places?\nAnswer: -0.3775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**2*f*f)\/f)\/f**8)\/(f**(-2\/9)*f**(-5)))**(-44) assuming f is positive.\nAnswer: f**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -135*h + 644. Let w(i) = -34*i + 161. Let q(d) = -2*s(d) + 9*w(d). What is the units digit of q(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34702 + 376 = -x + m, -3*x + m = -102978. List the prime factors of x.\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -0.07, -1\/2, 2073\/985 in decreasing order.\nAnswer: 2073\/985, -0.07, -0.13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 82, 3, -3, 1 in descending order.\nAnswer: 82, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-6) + 3)*2122 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31540 > 157699\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 5282235?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (-17 + (14 - -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, z: 9}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88, 92, 96, 100, 104, 108?\n\"Answer: 4*o + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsllcccs. What is prob of sequence lc?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478 is divided by 490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2. Let c(l) = 16*l**2 + 14*l**2 - 21*l**2. Give c(n(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4089 + -4089.2. Sort r, 3, -0.3, 149 in decreasing order.\nAnswer: 149, 3, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5\/3 - 137890*h**4 - 3309160*h**3\/3 - 9927280*h**2\/3 - 4412080*h - 6618080\/3 = 0.\nAnswer: -82726, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 252*n**3 + 404*n**2 - 5052*n + 4392 = 0.\nAnswer: -61, -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -203\/39?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -848\/5 + 169. Put 4, 2, v, 2\/5 in decreasing order.\nAnswer: 4, 2, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + 0*w**5 - 7*w**5 + (0 + 2 - 1)*(-20*w**5 - 17*w**3 + 17*w**3) - 2*w**5 + w**5 + 2*w**5.\nAnswer: -23*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.99 - 0.01. Suppose -3*i + 5*y - 4 = -33, 0 = 5*i + 5*y + 5. What is the smallest value in -0.1, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 q when three letters picked without replacement from {u: 3, q: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 11*n + 204*n + 8*n - 154*n - 2*n.\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*i**2 - 18*i - 19*i + 37*i.\nAnswer: 59*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdzugrz. Give prob of picking 1 h and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 1468, 3445, 6202, 9733, 14032?\nAnswer: 19093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12856 + 22083. List the prime factors of p.\nAnswer: 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5113589.61 to the nearest 10000.\nAnswer: 5110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228605, 228603, 228599, 228593?\nAnswer: 228585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5*z + 4. Let s be u(5). Suppose s*o - 304 = 3*v, 5 + 7 = -3*v. Suppose -5*f = -o + 43. Calculate the greatest common divisor of f and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:23 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 89. Let r(m) = -m**3 + 2*m**2 - 2*m + 1. Determine r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lsrllrlrl.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3057*n**3 + 4*n**2 - 3*n**2 - n**2.\nAnswer: 3057*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/840 + o**5\/120 + o**3 + o**2. Let a(w) be the first derivative of s(w). Factor a(x).\nAnswer: -x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4693)\/95 - ((12\/8)\/3)\/(85\/102)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/5*(-5)\/(-2). Let x(m) = m**2 - 5*m - 4. Let w be x(a). Let q = 73 - w. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**4 - d**2 - d. Let h(i) = 291*i**4 - 6*i**2 - 6*i - 216. Let g(n) = -h(n) + 6*m(n). What is the first derivative of g(w) wrt w?\nAnswer: -1092*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1916 and 3414791.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 234, 18.\nAnswer: 18, 43, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 32*w**4 - 80*w**3 - 8*w**2 + 76*w + 40.\nAnswer: 4*(w - 10)*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 10) to base 11\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 250, 569, 1004, 1549, 2198?\nAnswer: 2945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.22 + -0.12. Let r = 0 + -1. Let j = n + r. Sort j, 3, -0.4 in descending order.\nAnswer: 3, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 194*k**2 - 192*k - 203. What is w(193)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*f - 371 = 7*h - 195 - 138, 0 = 2*h - 3*f - 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/12 + (-1)\/3. Calculate the remainder when ((-15)\/j)\/(-5)*134 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/((-120)\/28) - (-91)\/(-2145).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 1 - (-4)\/6. Let h be -5 - (-2 + 3 - (-5 + 6)). Let b be (-1*4)\/(h\/(-1) + -15). Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 3 = 0. Let b(v) = 4*v - k*v - 3 + 0. What is the units digit of b(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 0.2 (b) 72 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13457323, 26914649, 40371975?\n\"Answer: 13457326*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 0*a + 6*a - 19)*(3 + a - 3) + 323*a**2 + a - 347167 + 347167 - 4 + 4 - 2*a**2 - 3 - a**2 + 3 + (a + a - 3*a)*(1 + a - 1).\nAnswer: 320*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -222351331*t**2*y**3 - 339312*t**2*y**2 + 15*t**2*y - t**2 + 4*t*y**2 - t wrt y.\nAnswer: -1334107986*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -11*h**3\/3 - 138*h**2 - 39*h - 4. Let q be g(-21). Calculate the greatest common factor of 62 and q.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*b + 184 - 244 = 0, 0 = -14*p + b - 310 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(0 + 1) - 12. Let f be t\/10*5\/(-2). Suppose f*z + 295 = 5*x, x - 32 = z + 29. What is the greatest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.107424, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 343010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470871243 to the power of 1\/2, to the nearest integer?\nAnswer: 38352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 246*m**2 - 7*m + 165. Is l(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = o + 55, 0 = -0*t - 4*t + 2*o + 50. Suppose 4*v - 120 = 2*g, -3*g = 5*v - 4*v - 30. What is the highest common divisor of v and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(5*b + 0*b - 3*b) - 20*b - 5*b + 89 + 13*b.\nAnswer: -14*b + 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101235 - 90717 = 565*r - 5897*r for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4\/4 - 21829515*r**3\/2 + 158842356749775*r**2\/4 + 397106710481625*r + 992767458376875 = 0.\nAnswer: -5, 7276510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 - 6*y. Let t(c) = c**2 - 10*c + 6. Let z be t(0). Calculate v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6686 - 80231\/12. Let w(m) be the first derivative of -1\/8*m**2 - 3\/2*m - 14 + g*m**3. Factor w(q).\nAnswer: (q - 3)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53460, -52892, -52324, -51756, -51188, -50620?\n\"Answer: 568*b - 54028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/(6\/18). List the prime factors of 1 - (-22)\/k*-2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-6 - 9)) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a = -35*a - 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13135 divided by -355?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**4 - 16700*w**3 - 5887500*w**2 - 720312500*w - 29687500000 = 0.\nAnswer: -3800, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4132*d + 12402. What is k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 12, x: 1}. What is prob of picking 1 h, 1 x, and 1 b?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2. Let x be s(0). Let h = 35 + -16. Let v = h - 22. What is the third smallest value in v, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*l**2*x - 6*h**2*l**2 + 2*h**2*l - 4*h**2 + 3*h*l**2 + h*l*x + 5*h*l + 4*l**2*x + 2 wrt h.\nAnswer: 4*l**2*x - 12*l**2 + 4*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 382, 240, 104, 3 in increasing order.\nAnswer: 3, 104, 240, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + n - 3*n)*(-4*n + n**2 + 4*n) + n**3 + n**3 - 3*n**3 + 275*n**2 - 176*n**2 + 2*n**3 + 208*n**2 to y*n + m + k*n**3 + v*n**2 and give v.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(4\/(-62) + 33\/((-680295)\/(-245))).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36.2 or 0.1?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-516)\/51 + 33\/(6732\/24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a - 3*a - 5 - 2*a + 5 + (-2 + 1 + 2)*(0*a - 4*a + 2*a) + 799 + 73*a - 799.\nAnswer: 66*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*q + 27168 = 10746. Suppose -4*c + 2*h + 0*h = -134, 0 = -c - 3*h + 37. What is the derivative of -22*m - c - 32*m**2 - 24*m + q*m wrt m?\nAnswer: -64*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 + 12*v - 70)*(0 + 0 - 2*v) + (-6 + 2 + 1)*(-5 + 3 + 5)*(0*v**2 + 2*v**2 - v**2).\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1183, 2367, 3551, 4735, 5919?\n\"Answer: 1184*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - s + 16. Suppose 0 = -4*b + 24 + 32. Let z = b + s. Calculate the smallest common multiple of 8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805170 is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24319.59+8\nAnswer: 24327.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76)\/sqrt(4) + -5)**2.\nAnswer: -30*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/51)\/(3675\/(-17850)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 167*y**4 + 2*y**3 + 1054 wrt y.\nAnswer: 668*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 8. Suppose 7 + 5 = 2*v. Calculate g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.838 rounded to one decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*w + 66*w + 41. Let n = 166\/7 + -6301\/266. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 695*l**6 - 52*l**2 - 3*l?\nAnswer: 83400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 5*b**2 - 42*b - 280. Give p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4293 or 193198\/45?\nAnswer: 4293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11032*i - 3678*i - 3712*i - 3675*i.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 12*m**2 + 3307*m - 3. Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. Let v(b) = a*b**2 + 0*b - 11 - 4*b - 9*b**2 - b. Let q(i) = -8*i**2 - 6*i - 11. Let t(z) = 6*q(z) - 7*v(z). What is t(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 4*o - o)*(-4*o + 3*o + 2*o) + 408*o**2 - 195*o**2 - o + o + (-3*o + 3*o + o**2)*(1 + 2 - 2) in the form k + s*o**2 + m*o and give s.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b + 32*b - 249*b - 48*b - 236*b.\nAnswer: -542*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 3017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s + 38. Let k be (2337\/s)\/((-2)\/36). Suppose -1 = -y, -5*o + y - 3*y = -k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, -5, 1, 13, -1\/2, -139, 0.33?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*s**2 - 3*s**3 - 91*s**2 - 94*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*x + 5. Let m(l) = -l - 4. Let s be m(x). Differentiate -b**3 - s + 3*b**3 + 4 with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**3 + 6*s - 6. Let b be 3\/((-9)\/(-12)) + 2. Let k(i) = -6*i**3 - 5*i + 5. What is b*k(n) + 5*a(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 573.9 - 1.9. Let y = -569 + t. Which is the third biggest value? (a) 1 (b) y (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -952*j + 962*j - 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c76402 + 8?\nAnswer: c7640a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5\/3 + 7478*c**4\/9 + 1198*c**3\/9 - 29912*c**2\/9 - 4984*c\/9 = 0.\nAnswer: -623, -2, -1\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.28*-174.96\nAnswer: -48.9888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p - 120*p + 2197293 = -8*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12376\/476*((-2)\/2)\/(5\/(-60)*-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:15 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {m: 7, y: 2, c: 4}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 26*w. Let f be p(9). Suppose f = m + m + 2*c, -4*m + 468 = -c. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*2*0. Let i = w + -1. Suppose 0 = -15*f - 2 + 32. Sort 1, f, i in descending order.\nAnswer: f, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*s + 178*s = 52. Put -33, 17, s in decreasing order.\nAnswer: 17, s, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 125 - (12 + -7 - 9). Let n be 3890\/(-30) + (-4)\/(-6). Let x = y + n. Solve 21 = 3*i - 3*j, -2*i + x*j + 20 = -5*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41004 is divided by 3622.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/15164 and -107\/806.\nAnswer: 6111092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrwxkuxxxkk. What is prob of sequence xxu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1125 - 0.0516.\nAnswer: -1125.0516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 37*h + 3. Let a(p) = 14*p**2. Give r(a(c)).\nAnswer: 518*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -131025 (base 6) to base 10\nAnswer: -11897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 22 + -17 - (5 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most 148081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -4*j + 262. Let x(g) = 3*g + 4. Let n be x(j). Let b be -2 + 18\/2 - 2. Calculate the highest common factor of b and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*n + 55834598, 24219024 = -2*n + d - 3698277. Let v = -9158650 - n. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 g when three letters picked without replacement from lkkjjllpgljlkjljaljj?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*w + 6 + 6*w)*(2 - 5 + 1 + (0 - 2 + 4)*(0 + 0 - 2)).\nAnswer: -12*w - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 475 and 2.1363.\nAnswer: 1014.7425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjujugjuuguwj. Give prob of picking 1 j and 1 u.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - h**4 + h**2 + 92*h**4 - 24 + 24 + (0*h**3 - 4*h**3 + 2*h**3)*(0*h + h - 2*h) - 5*h**4 - 2*h**4 + 4*h**4.\nAnswer: 90*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/16 + 5*i**3\/8 + 29*i. Let b(k) = 0. Calculate k.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let x(g) = 5*g + 4. Let z(t) = 49*t + 42. Let c(v) = -42*x(v) + 4*z(v). Determine c(a(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, l: 6}. Give prob of picking 1 p and 1 l.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11298 divided by -6?\nAnswer: -1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426660?\nAnswer: 2, 5, 71333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -0.381609.\nAnswer: 0.618391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) 40 (c) 5 (d) 1844\/3 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n + 4*m - 4, 18 = 5*n - 2*m. Sort n, 9, -5.\nAnswer: -5, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2. Let d be (36 + -31)\/((-1 - -2)*1). Let g(x) = -3*x + 2. Let j(u) = u - 1. Let s(z) = d*g(z) + 10*j(z). What is s(p(q))?\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Suppose 71*g - 66*g = -20. Let q(a) = 6*a + 4. Let n(j) = g*k(j) + q(j). Let d(o) = 3*o - 16. Give d(n(v)).\nAnswer: 6*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - 17) + 1 - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 75 - u + u**2 - 4*u**3 + 7*u**3 - 76. Let p be r(-1). What is the remainder when 27 is divided by (p - -4)\/((-4)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - 16 - 0\/(-2). Let b = -80 - -127. Let i = b + h. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/102805 - 5448677\/616830. What is the common denominator of j and ((-166)\/48)\/((-2)\/3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3984*f*m - 938603*f + 218*m wrt m?\nAnswer: 3984*f + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -s - 10, -16*s + 5*n = -12*s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2285 (base 15) to base 3\nAnswer: 101001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 1, 3\/5 in descending order.\nAnswer: 128, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**3\/6 + 3*g**2\/2 + 18*g. Determine i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941016 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i**3 + i**2 - 9*i - 1. Let n(a) = -10*a**3 + a**2 - 7*a. Calculate 4*f(b) - 5*n(b).\nAnswer: 2*b**3 - b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (sqrt(2736) + -1 + sqrt(2736))**2 + ((1*sqrt(133)*-2)\/(sqrt(252)*-1))**2)*1.\nAnswer: -48*sqrt(19) + 98524\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 4. Let q be -4*u\/2*1. Let j = q + 14. Calculate the remainder when 47 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcfiniv. What is prob of picking 1 i and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:07 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/688 + 236\/576.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and -0.23170996956566?\nAnswer: 6.76829003043434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 + 1431644*o**2\/5 - 2863291*o\/5 + 1431646\/5.\nAnswer: (o - 1)**2*(o + 1431646)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178247349?\nAnswer: 3, 7, 404189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -2*s**7\/21 - 2*s**3\/3 + 4*s + 4. Let u(n) be the first derivative of m(n). What is the second derivative of u(f) wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -374*u + 20558 - 26916 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/36 - 11*(-3)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 4, s: 4, e: 1, x: 5}. What is prob of picking 1 s and 1 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/15)\/(-2)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(24)\/(sqrt(56)\/sqrt(7))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -857 - -857. Which is the closest to 2? (a) 3 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.258 to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2754137*-3.\nAnswer: -8262411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/(4*(-9)\/54)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.896424 centuries?\nAnswer: 0.3896424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8919619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338839244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19513 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 8*w**2 + 8*w + 8. Let y = 282 + -281. Calculate the remainder when p(-7) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13210 and 11889.\nAnswer: 118890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 less than 0.041?\nAnswer: -49.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 - 868?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12*t**2 - 4*t - 4. Let v(k) = -23*k**2 - 7*k - 7. Let p = 595 - 320. Let d = 271 - p. Give d*v(f) + 7*i(f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - 12. Let l = 57 + f. What is the greatest common divisor of l and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q + 764 - 737 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-18))\/((-4)\/784*-7). Which is bigger: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + g**2 - g + 4. Let t(i) = 32*i**3 - 10*i**2 + 5*i + 48. What is -t(u) - 5*y(u)?\nAnswer: -22*u**3 + 5*u**2 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/160 + 13*b**4\/3 + 835*b**3\/48 + 209*b**2\/8 - 397*b - 2. Factor z(d).\nAnswer: -(d - 418)*(d + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 45 = -15*l. Let x(s) = 8*s**2 - 19*s - 34. Is x(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -1.31. Let u = -2.99 + m. Let d = u - -3.0000004. What is d rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -489*b + 5415. What is i(12)?\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214 + 214.2. Let t be 4\/(-35) - 4\/14. What is the smallest value in t, v, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**3 - 3*q**2 - 3*q. What is the first derivative of g(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -12, -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 3*z**2 - z - 7. Let a(t) = -7*t**2 - 18*t - 4. Let l be a(-2). Let i be b(l). Solve -3*s + 5 = -2*s - 4*o, -s - o - i = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 50 + 21)*(3*n - 7*n + 3*n)*(-4 + 4 - n**2).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 42. Let g = 41 + h. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -444?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {j: 1, r: 6, u: 3, g: 7, k: 2}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12067 - -5261215\/436. Let z = u - -844\/109. What is the common denominator of z and (-2)\/18 + (-19575)\/972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -10. Let y = 1 + a. Let v = 12.08 + y. Round v to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j - 8 + 4818*j**6 + 0 + 6930*j**6 + 1818*j**2 - 1962*j**2 wrt j?\nAnswer: 1409760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 16. Let z = a - -4.2. Round z to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6930*0.15.\nAnswer: 1039.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 75982*q\/3 + 1443316081\/3.\nAnswer: (q - 37991)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2086*k**5 - 195 + 3*k - 173 + 27*k**2 - 1295*k**5 + 173*k**5 + 404 wrt k.\nAnswer: -192480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -409*s**2. Let u(j) = j. Give g(u(z)).\nAnswer: -409*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*v**3 - k**2 - 104*k*v**5 - k - v wrt v.\nAnswer: 6*k**2*v - 2080*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4218048 and 1608?\nAnswer: 282609216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7950.053cm to millimeters.\nAnswer: 79500.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*x + 3 = -l, x - 19 = -5*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112121 - -12?\nAnswer: -1112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, 152, -3, 39, -3\/7 in descending order.\nAnswer: 152, 39, 1, -0.4, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - c - 1. Let y(p) = -56*p**2 - 60*p - 60. Let r(w) = -240*g(w) + 4*y(w). Let d(x) = 208*x**2. Determine r(d(q)).\nAnswer: 692224*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22707 - 22701. Solve -s*g = -10*g - 4*t - 16, 4*g = 2*t - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750649911.\nAnswer: 3, 11, 353, 64439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5737992?\nAnswer: 2, 3, 13, 53, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4864697, -4864818, -4864939, -4865060, -4865181?\nAnswer: -4865302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -27, 6, 1\/3, -8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}