diff --git "a/data/dm_maths/full_data_2/10952_11255.jsonl" "b/data/dm_maths/full_data_2/10952_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10952_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 18727265 is divided by 522.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 990363 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58585577087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + -37262996730178\nAnswer: -37262996730177.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/60 - m**4\/24 - m**3\/2 - 2*m**2. Give r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let q(c) be the third derivative of c**6\/15 - 5*c**4\/24 - 17*c**2. Determine q(l) + 5*x(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1371898, 2 in descending order.\nAnswer: 2, -5, -1371898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 12*f**2 - 12*f + 13. Suppose 0 = -2*q + 4*q + 6. Let r be 1\/(q*(-4)\/(-156)). Let a be d(r). Solve -2*o = -a*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.324587, 5, -6.\nAnswer: -13.324587, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 19 - j**4 + 11*j + 7\/2*j**2 + 3*j**3. Is r(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = -3*f, 4*s + 30 = 5*s + 4*f. Let a(n) = n**3 - 11*n**2 + 9*n + 13. Let m be a(s). Suppose -20 = 49*y - 54*y. Solve -m = -i - y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70840.27 rounded to the nearest ten?\nAnswer: -70840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 5)*27\/(-2). Let o be 96\/54 - (0 + (-6)\/f). Suppose q = -i + 43, -89 = -0*i - o*i - 3*q. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 578 + -4. Calculate the common denominator of -71\/8 and 3\/9 + q\/132.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/11 or -105.7?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+2153\nAnswer: 2152.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706*w + 1721*w + 5 - 5.\nAnswer: 2427*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 + -0.14. Let l = i - -0.12. Which is bigger: l or -0.8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/60 - s**3\/3 + 7*s**2. Let v(l) = -2*l**2 - 4. What is -3*v(b) + 5*z(b)?\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i**2. Let a be (10 - (1 - (-11 + 5))) + 2. Let q(r) be the third derivative of 6*r**2 + 0*r**3 + 0*r + 0 + 0*r**4 + 1\/30*r**a. Calculate l(q(x)).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 63*j + 3497. Determine x(-56).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -7*x**5\/120 + 5*x**4\/24 - x**3 + 25*x. Let u(v) be the second derivative of q(v). Let k be u(7). Is k >= -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7178, -6971, -6742, -6479, -6170, -5803?\n\"Answer: 2*k**3 - k**2 + 196*k - 7375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3957, 3714, 3471, 3228, 2985, 2742?\nAnswer: 2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/152 and 13\/37392.\nAnswer: 37392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -256*h - 1039. What is o(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w + 3. Let o be w\/2*(-10 - -6). Solve 5*f + y = o, 2*f - 2 = -2*f - y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.21 - 16. Let l = 0 - p. What is l rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-522)\/117 - 4\/(8\/5 - 2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 4, r: 7, y: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 50*g - 69. Give o(8).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/80 + 19*q**4\/48 - 5*q**3\/6 + 7*q + 5. Factor f(b).\nAnswer: b*(b - 1)*(b + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2829)\/(-414)*20\/(-1230)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -107*d**3 + 6*d**2 + 6*d. Let a(q) = 8989*q**3 - 505*q**2 - 505*q. Determine -6*a(r) - 505*m(r).\nAnswer: 101*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 1. Let x(q) = q**3 + 4*q**2 + 2*q - 4. Let i be x(-3). Let j(p) = 7*p + 4. Give i*j(m) - 4*k(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138.7 + 34.7. Which is the nearest to -2\/9? (a) 1\/5 (b) u (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27550 = -5*d - 5*y, -2*d + 842 = -3*y + 11852. Let s = d - -8088. Round s to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -3. Let b = 7 - 6. Put p, b, 3\/4 in increasing order.\nAnswer: p, 3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89 + -94 - (-2 + -39535)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 0*c + 2 - c. Let o be y(-2). Let x(g) = g - 1. What is x(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -524 - -5757\/11. Let d = 322\/29 - 4513\/174. What is the common denominator of d and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6043 + -6046. Let q = 80\/117 + -2\/117. What is the closest to q in s, 4\/7, 8\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*k**2 - 16*k**2 - 21*k**2 + 109*k**2.\nAnswer: 148*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.0134296 to two decimal places.\nAnswer: -20.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 42*g + 9\/10*g**5 + 6*g**3 - 1\/10*g**6 + 0 - 13\/4*g**4 - 6*g**2. Factor p(q).\nAnswer: -3*(q - 2)**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164*i = -13777 + 18354 + 72247 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + a1?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -356*b - 147 - 233*b + 632*b to the form g*b + u and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217.035 milligrams in grams?\nAnswer: 8.217035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/3 - 727*y\/3 - 1960 = 0.\nAnswer: -8, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.3713.\nAnswer: 0.07426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z - z)*(-1282 - 1177 + 2146).\nAnswer: -626*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62263621*x**2 - 93815807 wrt x?\nAnswer: -124527242*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at most as big as -25455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(1872) + -5 - (1 + sqrt(1872) + 3)))*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2738357 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2. Let x be 4 - (-3)\/((-9)\/6). Let f = x + 2. Let j(u) = -4*u - u + f*u. Give j(w(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -2. What is the third smallest value in 4, -5, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + (66 - 72) - (-1 + 9 - (3 - 4))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300546?\nAnswer: 2, 3, 59, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jemm when four letters picked without replacement from {e: 3, m: 16, j: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49164 and 68?\nAnswer: 49164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 275365 - 275346.9977. Let v = -18 + n. What is v rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 755 + -1425\/2. Suppose 5*w + 2*q = -0*w - 165, -2*w = q + 67. Let j = p + w. Which is smaller: 13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-4))\/(-7))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 - h**4 + 4*h**4 + (14*h**2 - 24*h**3 - 48*h**3 - 13*h**2)*(4*h - 2*h - 3*h) to w + z*h + x*h**4 + m*h**2 + p*h**3 and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592330 divided by -2?\nAnswer: -296165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1466021 and -163.\nAnswer: 1465858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from vmyci.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152594204 is divided by 3816.\nAnswer: 3812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -46*o**3 + 2*o**2 - 38*o - 10. Let a(u) = 48*u**3 - 3*u**2 + 37*u + 16. Give 2*a(v) + 3*y(v).\nAnswer: -42*v**3 - 40*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.383 + -0.3393. Let v = a - 0.043700722. What is v rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161)\/(-14)*(1660\/(-166) - 9\/(36\/(-56))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(27)\/(sqrt(27)\/sqrt(3)) + (1*(sqrt(9)\/sqrt(3) + sqrt(3)) + sqrt(3))**2).\nAnswer: -155 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -203, -400, -591, -776?\n\"Answer: 3*a**2 - 206*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -783 - -787. Solve -28 = 5*s + 4*f, p*s + s = 5*f - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1422, 8, 21 in descending order.\nAnswer: 1422, 21, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 7, k: 5}. What is prob of picking 1 d and 2 k?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from {a: 3, q: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 5. Let w be j(10). Suppose 0 = -q + 4*q. Suppose -4*g = 5*n - 3*g - w, g = q. Solve 0 = -7*c + n*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15439730 divided by 74.\nAnswer: -208645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -37, 4, 8 in descending order.\nAnswer: 34, 8, 4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.81, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 398785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248648 by -31081.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p = -49*p - 20. Let s(t) = -7*t**3 + 2*t**2 - 2*t + 8. Let l(k) = -12*k**3 + 3*k**2 - 3*k + 17. Let z(m) = p*s(m) - 3*l(m). Calculate z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.69 + 0.49. Let o = w + 10. Let j = 51 - 47. Which is the closest to -2? (a) -0.5 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d**3 + 4*d**3)*(35 - 64 + 52).\nAnswer: 92*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73282332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26860063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 9:00 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513 (base 13) in base 11?\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 5. What is the remainder when 101 is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*p + 1\/3*p**2.\nAnswer: p*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 11:03 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 3*s**2 + 4*s**2)*(-7*s + 7*s + 3*s**3) + 5*s**5 - 4*s**5 + s**5 + (0*s**3 + 0*s**3 + 2*s**4)*(-2 + 2*s + 2).\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*m = -39, -14*d + 9*d = 5*m - 45. Solve 9*j + 11*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147.9 + -145.9. Let j = 5.175 + -0.175. Which is the nearest to s? (a) j (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 58176.13 weeks?\nAnswer: 9773589.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3531551053.\nAnswer: 691, 5110783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*y**3 + 9*y**2 - 2*y**3 + 6*y**2 - 2*y**2 + 60*y wrt y?\nAnswer: -12*y + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -52*m + 54*m. Solve -m = -4*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 974, 0.3, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 2. Let f be b(1). What is the third derivative of 0 + 5*d**5 + f + 3*d**2 + d**5 wrt d?\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-90)\/(-600))\/(25\/(-10)*(-3)\/155).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 190.283 and 32782?\nAnswer: 32591.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 2097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76388 and 76388.\nAnswer: 76388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314873 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/(3*-1). Let c = 209663\/8729 - 1036\/43. Let u = c - 2\/29. Sort s, u, -4.\nAnswer: -4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 728 + 4332. Let c be (s\/(-80))\/((-1)\/8). Is -46 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3. Let k(p) = -7*p**3 - 2*p**2 - 3. Let y(f) = -k(f) - 6*m(f). Let c = 16 - 18. Let s be y(c). Is s less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797228628?\nAnswer: 2, 3, 7, 1355831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*p + 16843 = 3*o, 0 = 4*o - 3*p - 67372. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 23030?\nAnswer: -23031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.795058 decades in years?\nAnswer: 37.95058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(0 - -1) + 2. Suppose -3 + 27 = -b*r. Suppose -q + 18 = -4*q. Is r at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274218073 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 5 - 5 - 2*f**3 - f**3 + 0*f**3 + (0 - 4 + 2)*(5*f - 5*f + 2*f**3).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 2. Let n(m) = m + 2. Let t(i) = -i. Let b(c) = -n(c) - 2*t(c). Determine -7*b(r) - 6*x(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:30 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1338?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1968, -7026, -15166, -26388, -40692?\nAnswer: -58078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(2\/(-12))\/((-3)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 - 95*r**3*v**2 - 3*r**2 - r + 224*v**2 - v wrt r?\nAnswer: 12*r**2 - 570*r*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (3 + -6)) + -2. Let q be -22 - (1 + -5 - -2). Let r be (-1)\/q - 3\/12. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14151.\nAnswer: 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d077d + -1?\nAnswer: -7d0780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -2559388?\nAnswer: -2559381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 316 = -7*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3003 - 1914. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14871 is divided by 2971?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 3. Let b be i(5). Let q = b - 36. Suppose -3*a + 176 = q*g, 2*a = g + a - 93. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6356 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68052182?\nAnswer: 2, 11, 3093281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3231034 (base 6) to base 14\nAnswer: 42274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 120*z)*(-z**2 - z**2 - 2*z**3 + 0*z**3).\nAnswer: -240*z**4 - 240*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282673356 divided by 98.\nAnswer: 2884422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*j + 94*j + 354 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57759, 115535, 173327, 231141, 288983, 346859, 404775?\n\"Answer: j**3 + 2*j**2 + 57763*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, c: 2, h: 4}. What is prob of picking 2 h and 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16*g**2 - 15*g**2 - 3 + 3*g - 4*g. Let a be m(3). Determine y so that 3 + 2 - 5 + a*y**2 - 3*y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y - 46. Let k be i(10). What is the derivative of -15*r - k + 15*r - 28*r**3 + 89 wrt r?\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1082\/47608*22\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140\/389 or 0?\nAnswer: 140\/389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 44 - 46. Suppose 4*o = o. Suppose t = -o*t + m. Solve 0 = t*w + 8 - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j + 90. Let m be y(-9). What is the common denominator of -5 - (6 + 417\/m) and -47\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 17*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(8))**2.\nAnswer: 7 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 157.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 2, o: 2, g: 2, p: 1}. Give prob of sequence gpx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + r - r**4 - 12*r**2 + r + 11*r**2 - 30*r**2 in the form a*r**3 + j + x*r**2 + y*r**4 + q*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + ((-4)\/18 - 5621\/99). Let n = 157 + h. What is the highest common factor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26117549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m + 24*m**2 + 6 + 6 - 13 + 14*m + 12*m**2 - m**3 as q*m**2 + k*m**3 + y + h*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 23. Suppose m + 4*m - 15 = 0. Sort -3, i, m in ascending order.\nAnswer: -3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 0.164.\nAnswer: -2.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12789952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4608*t + 978 + 238 = 4672*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 1.1967?\nAnswer: 75.3921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) 1\/15 (c) 7\/2762 (d) -0.2 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1240, -4982, -11222, -19960, -31196, -44930, -61162?\n\"Answer: -1249*d**2 + 5*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 210 = 16*s. What is the second derivative of -15*n - 20*n + 5*n**3 + s*n wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183876 and 25949?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122751 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - sqrt(64)*4)\/sqrt(8))\/(sqrt(256)*3).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4292501185.\nAnswer: 5, 7, 19, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2\/13 (b) -3\/2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 772 = -3*q + 766, 3*c = q - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let h(m) = -m**2. Let p(c) = 4*h(c) - 2*i(c). Let u(f) = 2. Let w(g) = -8*g + 176. Let a(x) = -176*u(x) + 2*w(x). Give a(p(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayggagagsgmsk. What is prob of sequence kkm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 21 = 55 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 42*w**2. Let c(f) = 2*f + 1. Determine x(c(g)).\nAnswer: 168*g**2 + 168*g + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32248651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(17) + 4 - (sqrt(119) + sqrt(119)*4)\/sqrt(7).\nAnswer: -4*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/293 and (-525)\/(-1260)*1*-3?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001467878 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5136015 is divided by 461.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 + 3*f**2 - 20 + f**2 + 139*f - 279*f + 152*f = 0 for f.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5547644 * 1\nAnswer: -5547644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - k - 19 = 0, 16 = 2*x + 3*k + 3. Let l(r) = -r**2 + 8*r - 4. Let j be l(x). Which is bigger: 10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 2*d**2 + 0 - 5\/12*d**4 - 3*d + 0*d**3. What is the derivative of x(n) wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 452810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -41. What is the third smallest value in i, -3, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*h - 0*a - 53, 10 = -604*h + 606*h + 2*a for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*p + p - 159 + 323 = 160, 2*j - 2 = -2*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 65. Let n be w(20). Let v be n + 3 + -3 + 212\/44. What is the third biggest value in 3, 1, 19, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1236 = -989. Suppose -5*d + 5*u = -q, -3*u = 4*d - 6*u - 361. Suppose 66 = 10*l - d. Solve 5*s + 2*y - 18 = 0, -7*y - l = -3*s - 3*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 2*i + 6*i**2 + 1 + 2*i + 0*i to c*i + v*i**2 + a and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/90 and -59\/57798.\nAnswer: 288990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1 - j**2 + j - 1 - 2. Let q be 2 + 0 - (-2)\/1. Let z(w) = w - 4. Let u be z(q). What is b(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.1, -33033, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 1030803*i**2 + 5153990*i.\nAnswer: i*(i - 1030798)*(i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -205 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14297 * 0.2.\nAnswer: 2859.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from excxejkkxxje. What is prob of picking 1 k, 1 e, and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/(-28) - 4)\/(1\/(-2) + 1). Let r(y) = 1. Let g(k) = -k - 2. Let j(o) = -g(o) - 3*r(o). Let m(q) = -6*q + 7. Calculate x*j(c) - m(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14262289*n**2 + 585*n - 1659?\nAnswer: 28524578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by -139.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-6)\/w)\/w*w)\/w)**(-20\/9)*w**5\/(w**(-4)*w*w) assuming w is positive.\nAnswer: w**(223\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33867 by -11289.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j - 9. Suppose 0 = -2*o - 3*c - 2, 0*c - 4*c - 8 = 0. Let g(y) = y**2 + y + 2. Let f be g(o). Is x(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3.5. Let w = 0.9 + q. Let h = -0.5 + w. What is the nearest to 1 in -1, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303948 (base 11) in base 16?\nAnswer: 7735f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzvzvzvqvqqzzzq. What is prob of picking 1 v and 1 z?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 112. Suppose 0 = w + 4*w - 5*f - n, 0 = -3*f - 12. Calculate the remainder when 66 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 44 = -40. Let i(w) = -9*w**3 + 2*w**2 + 3*w + 10. Let k(x) = -8*x**3 + x**2 + 2*x + 8. Let y(f) = o*k(f) + 6*i(f). Determine y(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**3\/6 - 7*k**2 + 11*k. Let w be q(19). Solve -w*t + x = 9, -3*x + 23 - 7 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*u = -3*f - 129*u, 12 = 2*u + 3*u - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -356 divided by -3278\nAnswer: 178\/1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 8*m - 44. Let q(l) = -13*l + 28*l + 7*l**2 - 11*l - 8*l**2 - 20. Let g(p) = 4*b(p) - 9*q(p). Give g(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 84. Let v = 10 - c. Calculate the highest common factor of 128 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(9 + -9). Solve m = w - 3*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0440261 and -90.\nAnswer: -3.962349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*k = 113 + 85 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -14, -4000, 2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*a - 5, 5*a + 0*a + s = 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -124, -78, -4, 98, 228, 386, 572?\n\"Answer: 14*v**2 + 4*v - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (9 + (-9 + 4 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 2*g. Let u be (2 + 21\/6)\/((-1)\/14). Let b be 6\/8 - u\/(-28). Let d(y) = -y**2 - y. What is b*a(s) + 4*d(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 9. Let i be u(6). Let y be (-8)\/30*25\/(-30)*i. Which is the smallest value? (a) 0.5 (b) -8\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -1805*a**3\/3 + 17670*a**2 - 172980*a + 15486. Factor q(v).\nAnswer: -5*(19*v - 186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 4 + 0)\/2. Suppose 2*c = -3*p + c - 32, 5*p - 2*c = -57. Let l be p + 13 + -1 + 3. Solve 3*g - y + l = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1 - 24\/(-14). Let w = 0.05 + -0.45. Which is the nearest to -2\/3? (a) -4 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -h - 13, -5 = -4*z + 3*z + 2*h. Let b be z*(1 - (-3)\/9). Let r be ((-90)\/b)\/((-18)\/24). What is the highest common divisor of 12 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67)\/(-87) + 30*(-12)\/540\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -69620 * -17\nAnswer: 1183540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32248327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(78)*2)\/sqrt(6))*4.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2512*x + 2516*x + 28 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0789 - -1.0789. Let x = -12 - -23\/2. What is the nearest to i in 4, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(3*i + 0*i - i)*(-3 - 2 + 4).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110\/(-8)*(-15948)\/(-119610)?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from yfyyaytfqffy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/j)**(-2\/21)*(j\/j**(-12\/5))\/(j**(-9)\/j) assuming j is positive.\nAnswer: j**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -37, -3, -2\/3, -0.9, -15\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c - 2317 - 483 = 164*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 + 1345*z**2 + 191*z - 190. Calculate o(-192).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22214 + 22304 = -9*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 63 - -14 - -44.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -20110?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23441237\/295 + 79462. Calculate the common denominator of o and -89\/590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -3. Let u be (2\/6)\/(4\/(-36)). Which is the second biggest value? (a) u (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 40*w**2 + 321*w - 618. Let x(d) = d**3 - d**2 + d + 2. Let n(h) = g(h) + 3*x(h). Factor n(p).\nAnswer: (p - 34)*(p - 6)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1423 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 2*k - 5*k + 0*k + 17444*k**3.\nAnswer: 17444*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(6\/5)*l*l)\/l)\/l*((l**(-7)*l)\/l)\/l)\/(l\/(l*l*(l**6*l)\/l)*l**(2\/9)) assuming l is positive.\nAnswer: l**(44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.3. Which is the closest to 0.1? (a) -1\/4 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i - 5. Let h(f) = -21*f + 24. Give -5*h(q) - 24*u(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1180 and 30545716?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/76)\/((-8)\/(-32))*(-7)\/(84\/(-36))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 o, and 1 u when four letters picked without replacement from {o: 2, u: 1, x: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*n - 2500 = 0, -22*w - 2501 = -25*w + 4*n. Which is bigger: 836 or w?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bizyigizbiizw. Give prob of sequence wz.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 + 37*g - 37*g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 75 = -0*l + 3*b + 8*b, 5*l = 4*b - 50 + 8 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/170 - 114\/2975. Let j(h) be the third derivative of 1\/1680*h**8 + 0 + 1\/200*h**6 + 0*h + 0*h**4 - h**2 - 1\/300*h**5 - x*h**7 + 0*h**3. Factor j(a).\nAnswer: a**2*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -9 + 36 - 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167 - 50141804.\nAnswer: -50141637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/112*10\/(-25)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83217, 83217, 83219, 83223, 83229, 83237, 83247?\n\"Answer: g**2 - 3*g + 83219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9951*a**2 - 2*a. Let b = -62 + 60. Let f be h(b). Round f to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26605627 and -26605644 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -1.4. Let q = 0.3 + w. Which is the second smallest value? (a) 4 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-5) - (-22)\/(-10). Let y = 3.6809 - 3.7809. What is the nearest to y in -13, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1280058 + 1998058. What is n rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.65 (b) -0.7 (c) -2\/9 (d) -9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 smaller than 4941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 135 + 140 = 0. Solve 5*d + 6*d = t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (-210 + 165 + (20 - 0) - -9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.6. Let w = 12.9 + -0.9. Let x = w + -7. Which is the second smallest value? (a) x (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + h + 0*h = -8, 4 = 4*h. Suppose -3*s - 8 + 38 = 0. Let q = s - t. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 7*y - 81. Let c be o(12). What is the highest common divisor of 24 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 8*v - 7. What is the remainder when 12\/(-10) + (-9)\/(-45) - -22 is divided by n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -15.3. Let u be 6\/(-10)*(-254)\/333. Let j = 12\/37 - u. Sort 0.4, a, j in increasing order.\nAnswer: a, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + -2*(sqrt(192) + sqrt(192) + (sqrt(192) - (2 + sqrt(192))) - sqrt(192)) + sqrt(192)) - 5*2*sqrt(192)*-5*-4)**2.\nAnswer: 7300800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**20)**19 assuming c is positive.\nAnswer: c**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-26 - (12 + -9)) - -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(735) - sqrt(735)*-1))\/(sqrt(30)\/(sqrt(30)\/sqrt(5)*-1)))**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((3 - 0) + -4)\/1. Is -2\/219 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5653+0\nAnswer: -5653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + ((-147)\/14 + 8)*(-12)\/(-20)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02154741559 to seven dps.\nAnswer: 0.0215474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 3)*((-1 + 1 - 2)*(0*i - i + 3*i) + i + 4*i - 4*i)*(-i - 3*i - 2*i) in the form a*i**2 + f + v*i and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -197, -337, -391, -317, -73, 383, 1093, 2099?\n\"Answer: 7*w**3 + w**2 - 192*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/3 - 790*n**4\/3 - 3098*n**3 - 39242*n**2\/3 - 67504*n\/3 - 12256 = 0 for n.\nAnswer: -383, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2052 (base 6) to base 5.\nAnswer: -3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z - 2 + 1\/2*z**2. What are the prime factors of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4316*21886.\nAnswer: 94459976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 628 + -2?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*d**4 + 440*d**3 + 2*d**2 - 14109*d wrt d?\nAnswer: -1848*d + 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370117 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 618? (a) 6 (b) -5 (c) -0.1 (d) -1\/3477\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7*u + 191 = -6*u, 5*h - 2*u - 482 = 0. Suppose -h = -3*j - 0*j. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 117 + 15 = 0. Calculate the remainder when 333 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-2)\/24)\/(3\/9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 13*k)*(4 - 8*k**2 - 4).\nAnswer: -96*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44864077*b**5 + 8577160*b**2 + 3*b?\nAnswer: 2691844620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 + 10*s**2\/3 + 23*s\/2.\nAnswer: -s*(s - 23)*(s + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2912037*v**3 + 19847151.\nAnswer: 8736111*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48819 + -34117. What are the prime factors of q?\nAnswer: 2, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114312.852 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.07083 - 0.07083. What is the fourth biggest value in u, -1\/3, 1\/8, -47\/2?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1741 - -33073\/19. Sort -4, -2, d.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -100 + 10. What is the remainder when 27 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2672 + 2673.4. What is the fourth biggest value in x, 0.4, -11, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8328 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -594 divided by 6\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + j + 0*j)*(4*j - 5*j - j)*(2*j - 3*j + 0*j).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnkkyakwy. Give prob of sequence aw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*w + a + 18, -5*a = 4*w - 1. Suppose -w*j = -103958 + 295958. Let v be j\/((-3)\/((-675)\/6)). What is v rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9110*v + 12304*v - 34781*v - 19006*v.\nAnswer: -50593*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -56*u**5 + 20469*u**2 - 22*u**5 + 27830*u**3 + 14943*u**4 - 25*u**5 + 4885*u**3 + 2730*u + 70*u**5 = 0.\nAnswer: -1, -2\/11, 0, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233 + -233300022?\nAnswer: -233232123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/15 + g**4\/6 + 7*g. Find the third derivative of x(m) wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13518*w**3*y + w**3 + 19*w**2*y**2 - 27*w*y**2 + 2*w*y + 35*w - 5*y**2 wrt w?\nAnswer: -81108*w*y + 6*w + 38*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183775 and 1875.\nAnswer: 13783125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 3*p**2 - 2*p - 3. Let s(c) = -2*c**3 - 9*c**2 + 5*c + 8. Give -8*i(u) - 3*s(u).\nAnswer: -2*u**3 + 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 20*m + m**2 - 20*m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:36 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -631b - 7?\nAnswer: -6325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12522, -12518, -12512, -12504, -12494, -12482?\n\"Answer: m**2 + m - 12524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + -2 + -5 + 4 - 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002270223977 to 7 dps.\nAnswer: -0.000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 3*r + 4. Give w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8551, 34073, 76611, 136165, 212735, 306321, 416923?\nAnswer: 544541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*p - 315 + 259 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8781.5 - -8782. Let p = -0.3 + -0.7. Which is the closest to p? (a) -0.3 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*u - 6 + 4 - 653*u + 10.\nAnswer: -621*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*(-2088)\/(-116)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295317509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 10*n + 5. Let c be k(10). Let d be (3 + 12 + -5)\/2. Suppose 0 = d*j + 4*q - 69 - 356, -c*q - 114 = -j. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2191464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m - 11. Let f be b(7). What is the smallest common multiple of ((-32)\/(-20))\/(6\/f) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3 + 0*b + 0*b**2 - 1\/5*b**5 + 0*b**4 - 1. Find the third derivative of y(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/6 + (-3)\/(-9). Let t(k) = k**2 + 5*k + 4. Let d be t(-5). Suppose 4*x + b = d*b + 9, -2*x + 3*b + 9 = 0. Solve x = -2*y - 2 - n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 40*w**2 - 33*w - 2. Give n(-12).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-135)\/(-513)*19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(4 + (sqrt(405) - (1 + sqrt(405))) + sqrt(405) + -3)*-5.\nAnswer: 405*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g + 64. Let l be r(15). Let m = -1 + 5. Solve l*t = m*s - 8, -2*s + s + 8 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55971a + -265?\nAnswer: 559465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20601 - -0.288?\nAnswer: 20601.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.95 + -5. Let j = -484.8814 + -0.1186. Let l = j + 484. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.19820526 rounded to three decimal places?\nAnswer: -23.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 2*z + 1 = 11. Suppose 5 = z*y - 4*y. Solve 0 = w*p + 1 + y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*p**3 + 17*j*p**2 + 1504*j*p + 3*p**3 - 4*p**2 wrt p.\nAnswer: 6*j*p + 34*j + 18*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -2.3844 in decreasing order.\nAnswer: 0, -2, -2.3844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 29 + 41. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/30 - (2 - (3024\/60)\/21).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 552, 1093, 1620, 2133?\nAnswer: 2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:00 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1611 = -2*q + 553, -6 = -3*d. Is q a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -i. Let m = 3.77 + -5.77. Which is the nearest to m? (a) 0.5 (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16000*n**2 - 229. Let d(o) = -8*o. What is j(d(r))?\nAnswer: -1024000*r**2 - 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/(-48))\/(-11))\/(27*(27\/12)\/9)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/14784 and 115\/2897664.\nAnswer: 2897664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163\/210 + 1\/42. Suppose j = -9*j - 10. Which is the second biggest value? (a) 2\/3 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbpbbpb. What is prob of sequence ppbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1657473, 1657475, 1657477, 1657479, 1657481, 1657483?\n\"Answer: 2*h + 1657471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49213410*z - 623151014 wrt z?\nAnswer: 49213410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 112769*w + 41.\nAnswer: -112769*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6667594293 + -93746375682027\/14060. Let s = q + 24\/703. Let g = 2\/10139 + -1024047\/40556. Calculate the common denominator of s and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 2. Let p(f) = -2*f - 30 - 5*f - 28 + 54. Let l(d) = 5*o(d) - 2*p(d). Suppose 3*m = -4*c + 28, 4*c = -4*m - 0*m + 32. Calculate l(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wzzzwzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -4 (b) 0.2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*n)*(-n + 4 - 4) + (-n + n - 2*n)*(2*n - n - 2*n) + 3 - 3 - n**2 + (0*n - n + 0*n)*(-2*n + 4 - 4).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 3. Let i be (-14)\/(-63) + 518\/m. What is the third derivative of 27*t**4 + 6*t**2 - 60*t**4 + i*t**4 wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {i: 2, o: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22639201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*o + 8 = 4*v, -8 = -4*v + 3*o. Let f be v\/10*(-15575)\/20. Let b = -155 - f. What is the third biggest value in b, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385 is divided by 1166.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.179409 micrometers in centimeters?\nAnswer: 0.0001179409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-55))\/(13\/65*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -68001541272941?\nAnswer: 68001541272943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 3. Let a(d) = 2*d + 4. Calculate -2*a(w) + 3*g(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55026857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 - 47. Let r = -134 - -91. Let x = r + 54. Calculate the highest common factor of l and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2 + 1\/21*m**6 + 1\/7*m**2 + 0*m**3 + 0*m**5 - 1\/7*m**4 + 0*m. Factor x(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 7*w + 4 = x, -2*x = 3*w - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 10. Let r be h(5). Let g be (12\/r)\/3 + (-20)\/(-100). Let c be 1\/1*((g - 3) + -141). Round c to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15334, 61431, 138288, 245905, 384282, 553419, 753316?\n\"Answer: 15380*d**2 - 43*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + l**3 + 0 + 0 + l. Let o be i(2). Let r be 3 + (1 - o) - 1242. Round r to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -247*a**4\/6 + 26*a**2 + 2093*a. Let l(o) = -47*o**2 + 5. Give 52*l(m) - 5*y(m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2662035 + 305?\nAnswer: -2661530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 5. Let i be q(-3). Let w = i + 45. Calculate the greatest common divisor of w and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*j + 29*j + 175. Let u be 30\/j + 30\/(-25). Solve 4*v + 10 = 2*z, -2*v - 2 = -u*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 5. Let r be n(7). Suppose 0 = c + r*c - 15. Solve 8 + 12 = c*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 0.19, 5\/3, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -35. Let f = 165\/4 + d. Which is the closest to f? (a) 2 (b) 1\/4 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8808 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 529946399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004949294 rounded to 7 decimal places?\nAnswer: 0.0000495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*z + 393 - 2*z**2 - 385 + 23*z.\nAnswer: -2*z**2 + 81*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623048?\nAnswer: 2, 327881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 1. Let f be n(1). Let y be 12\/60 + 28\/(-90). Is f less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2168 (b) -8451 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423824 is divided by 8821?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370 (base 8) to base 11.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = -5, -58 = -5*i + 3*i - 14*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 2*t - 4. Let g be (6\/(-4))\/((-4)\/8). Calculate v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10076 and 5267?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*(-45)\/6. Let r be 48\/20*p\/4. Let z(j) = -j - 2. Determine z(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, 15, 22 in descending order.\nAnswer: 22, 15, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/23)*j)**(-28\/3)\/(((j\/(j\/(j*j**4)))\/j)\/j**(1\/32)) assuming j is positive.\nAnswer: j**(-48187\/2208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 33, 87, 173, 297, 465, 683?\n\"Answer: l**3 + 7*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4624 + -1517. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 736 + 256 = 0. Let w = -1 - b. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:26 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1176\/(-147)*(1\/(-4) - 0). Let q(x) = -4*x**2 + 3*x + 7. Let s(n) = 3*n**2 - 2*n - 8. Determine f*q(o) + 3*s(o).\nAnswer: o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -14 - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 1498580662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2981 - -6983. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*q**2*r**4 + 14*q**2*r**2 + 2*q*r**3 + 3*q*r**2 - r**4 + 5*r**3 + 47*r**2 - 1 wrt r?\nAnswer: 1728*q**2*r + 12*q - 24*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - (-348)\/(-40) - -5 and (-8)\/(-512) + 0\/2?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1077 + -2101\/2. Calculate the common denominator of 879\/(-672) + 2\/(-7) and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 + 35*h + 1. Calculate z(-5).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/5)\/(6\/15). Let s = -25.1 + 25. Which is the smallest value? (a) g (b) 2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(3*(-2 + 3) + -1). Do -1\/1400 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 13*r**2 + 9*r + 109. What is q(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22306509 and -21.002?\nAnswer: 22306487.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 849*l**2 - 846*l.\nAnswer: -3*l*(l - 282)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -5 + (63 - 96) + -20\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9645?\nAnswer: 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53902 + 123852.663\nAnswer: 177754.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(10\/(-5))*(-312)\/(-1040)*(-56)\/6\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18*(-54)\/12*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4736 - 2.4736. Which is the second smallest value? (a) i (b) -4 (c) 0.257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaoxooxvxvxo. Give prob of sequence vxv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n - 21. Let w be v(-7). Let g = -34 + w. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 40236*g - 40204*g - 2 + 2. Let z(u) = 31*u - 13. Let b(i) = -5*i + 2. Let k(t) = -39*b(t) - 6*z(t). Give q(k(h)).\nAnswer: 288*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 14*p - 12. Let j be t(-11). Let z = j + -51. Solve 3*n - 18 = -a, 5*a - z = -2*n - 0*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/11 (c) 0.0724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7\/68?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:00 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 4*r**2 + 4*r - 3. Let f(x) = -2*x - 7. Let b be f(-5). Let u be a(b). Put u, -3, 1\/6 in descending order.\nAnswer: 1\/6, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 6*w**2 - 2*w + 6. Let s(n) = -4*n**2 + 50*n - 28. Let i be s(12). Calculate m(i).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -41?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 146 + 2?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**3 + 1 - 61\/2*n**2 + 15*n + 0*n**4 - 49\/10*n**5. What is the derivative of u(a) wrt a?\nAnswer: -294*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 plus -0.13092?\nAnswer: 0.38908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 33271*o - 5456441. Calculate t(164).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1420698.834 and 0.2?\nAnswer: 1420699.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3037309664.0000109 + -3037309917. Let f = b + 253. Round f to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(128) + (0 + sqrt(128)*-2 - sqrt(128)) - (sqrt(128) + -1)*5)*-4)**2*5.\nAnswer: -44800*sqrt(2) + 503760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1161*k**4 + 2*k**3 + 2*k - 1644. Let w(y) = -1161*y**4 - 3*y**3 - 3*y + 1643. Let n(o) = -6*u(o) - 4*w(o). What is the derivative of n(m) wrt m?\nAnswer: -9288*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -f - 0*k + 1, 15 = -3*k. Suppose -4 = n, -3*t - 6*n + 108 = -9*n. Let h = t + f. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24694, 49338, 73982, 98626, 123270, 147914?\n\"Answer: 24644*s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 60. Let k(q) = q**2 - 3*q + 2. Calculate the lowest common multiple of c and k(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 699, 829, 959, 1089, 1219, 1349?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566057, -1132499, -1698941, -2265383, -2831825?\nAnswer: -3398267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*i + 23109272 = -4*f, 4*f = 5*i - 30812363. Let d = 20003092 + f. What is d rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-70) + (-22)\/(-10). Let z(j) be the first derivative of -1\/4*j**4 + 1\/2*j**2 - 6 + 2\/3*j**3 - 2*j. Calculate z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 35*g + 88. Suppose 42*l + 3456 = -58*l - 8*l. Give k(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 19.3. Let i = p + -20. Let d be 12\/28 - 3\/21. Which is the nearest to 0? (a) -1\/2 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2030\/29)\/2*(-8)\/(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 5, 1\/8, 90 in decreasing order.\nAnswer: 90, 5, 1\/8, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 29*s**2 - 2*s - 1. Let b be o(-1). Calculate the smallest common multiple of 6 and (10\/b)\/((-1)\/(-15)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1351250 (base 7) to base 3.\nAnswer: -100011200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6139331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -430?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p + 12 = 0. Suppose p*n = -6, 5*r + 4*n - 92999996 = 2*n. Round r to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5)*(6*p**3 - 3*p**3 - 4*p**3) + (-2*p**2 - p**2 + p**2)*(-2*p + 5*p - 7*p) + (4 - 6 + 4)*(p**2 - p**2 + 2*p**3).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 23.440641 days?\nAnswer: 3.348663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17670, -35346, -53000, -70620, -88194?\nAnswer: -105710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2. Let h(r) = 6*r. Let g(b) = -11*b - 3 + 3 + 6*b. Let a be (-21)\/(-4) + 3\/(-12). Let o(l) = a*g(l) + 4*h(l). Calculate q(o(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:25 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80145, -80230, -80317, -80406?\n\"Answer: -d**2 - 82*d - 80062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-365)\/(-1) + 5 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 72*t - 119*t + 87*t + 0*t**3 - t**3 + 3*t**2 = 0.\nAnswer: -5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1526, -3091, -4702, -6353, -8038, -9751, -11486, -13237?\nAnswer: -14998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, v: 5}. What is prob of sequence vvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 1 - 1)\/((-2)\/5). Let g(s) = 3*s**3 + 5*s**2 + 6. Let q(n) = 2*n**3 + 3*n**2 + 3. What is d*q(u) + 3*g(u)?\nAnswer: -u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48880000 rounded to the nearest one million?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*t + 107812, 0 = -h - 228*t + 231*t + 53900. Does 51 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 4697*g\/2 - 443727\/4.\nAnswer: (g - 9441)*(g + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p*(p*p**4*p*p)\/p)**(-3\/5)*(p*p\/(p*p**2))**(-9)\/(p*p**(-3)*p*(((p\/p**(1\/5)*p)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l - 51. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:38 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 14 = -4*d + 6*g, -414*d - 1652 = 2*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101357, 405561, 912569, 1622381?\nAnswer: 2534997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let g(r) = -r + 8*r - r + 13*r. Determine f(g(q)).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-14)*7\/1. Let d be (69\/l + 0)*2. Solve 0 = 2*w + 3*b - d, w = 4*w + 2*b - 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 345\/(-105) + 1*3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.9*-4.\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-3)\/9*42. Suppose 5*v - b = 4*o - 0*o, 5*o = -2*v - 36. Let y(u) = -3*u - 4. What are the prime factors of y(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 53, 47, 39, 29?\n\"Answer: -l**2 - l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 7, m: 6, a: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.146 * -846\nAnswer: -123.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -621\/2 + 300. Let i(k) = -k**2 + 8*k - 4. Let z be i(7). Suppose -4*w = -4*n + 16, 3*w - z*n + 8 = 2*n. Calculate the common denominator of w and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 439*x**2 + 2293*x + 32420. What is g(-444)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u - 7. Let d(n) be the second derivative of -5*n**3\/6 - n. Calculate d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 43*q**2 + 108*q - 384. Give v(40).\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5*g**2 - 2*g - 6. Let v be h(-5). Calculate the greatest common factor of 28 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nttn when four letters picked without replacement from {t: 11, p: 1, n: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n = -224059 + 541319. Is n a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*y - 231*y + 2 = 7*t, 14*t + 3*y + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 5*s**2 + 9*s - 13. Let i be h(6). Suppose 5*d - 3*d = i*w + 259, -4*d - w = -551. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6660, -13320, -19980?\nAnswer: -26640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - g - 7 - 5 - 7*g. Is 8 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518822729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -482 + 500 - (0 - -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20153692?\nAnswer: 2, 13, 59, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 91, 0, -2, -12.5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456*w**2 - 1456*w**2 - 3*w**3 + 4*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -566 + -3?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 12*i - 10*i - 8*a + 371 = 0, -260 = 5*i - 5*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 15 - 4*x**2 + 3*x**3 + 4*x**2 + 11. Let z(w) = 4*w**3 + 4*w - 5. What is -5*u(r) + 4*z(r)?\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + 6 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 242041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/43, -2, -5, 5, -4\/3 in increasing order.\nAnswer: -5, -2, -4\/3, 11\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (-7 - (3 + -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 311720.9 grams?\nAnswer: 311720900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from dzxzwwzzzxzzsz.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1856 and -81\/116.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.14, -1, -6?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y - 10. Let j be p(5). Let a(k) = 0*k + k**2 + 9*k**2 + 0*k. Let q be a(1). What is the greatest common factor of j and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - -6 - -7)*5\/3. Suppose -4*n = -q*u + 3783, 5*n = 4*u - 1708 - 1322. List the prime factors of u.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2 + 2. Let t be v(3). Suppose -3*o - 6*k + t = -2*k, 0 = 4*o - k - 27. What is the remainder when 17 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-30)\/(-4))*130\/(-78).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 98639*z**4 - 13 - 197413*z**4 + 98687*z**4 + (0 + 0 + z**2)*(3*z**2 + z**2 - 6*z**2) in the form k*z**4 + n*z + f*z**2 + y*z**3 + m and give k.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -11a08a6?\nAnswer: -11a08aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 118819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgkaz. What is prob of picking 1 k and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3062120, -3061921, -3061722, -3061523, -3061324, -3061125?\n\"Answer: 199*u - 3062319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 974601400 to the power of 1\/2, to the nearest integer?\nAnswer: 31219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (600\/360)\/(5280\/99).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 + 8*u**2 + 10*u**2 + 13 + 9*u. Let d be -3*34\/(-6) + 1. Let g(l) = 3*l**2 + 2*l + 3. Give d*g(i) - 4*v(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -45. What is the common denominator of ((-23)\/(-8))\/((-1)\/6) and -1 - 1 - (-142)\/i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13566 + 14838. Calculate the remainder when w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 13816 + 10310 + 3*y.\nAnswer: 2*y + 24126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 591630, 591626, 591622?\nAnswer: 591618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-13 + -4 + -3 + 17 + 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:58 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 830 + -994. Let d = f + 172. Suppose 4*v = -3*x + 33, 2*x = 4*x + 10. What is the highest common factor of d and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/5 - 414*b**4\/5 + 406*b**3\/5 + 1246*b**2\/5 - 2064*b\/5 + 824\/5 = 0. Calculate b.\nAnswer: -2, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*j + 24, 5*j = -13 + 3. What is the closest to -3\/7 in 0.5, b, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -12*y - 31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18)\/((sqrt(48)\/sqrt(2))\/sqrt(4)))**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**2 - 14*n - 16. Let b be a(-5). Let j = b + 176. Solve -4*z + 2*z + 30 = 4*q, -4*q + 45 = j*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97152752 is divided by 2914.\nAnswer: 2906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.48355 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 - 1261922*b + 398111783521 = 0?\nAnswer: 630961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 9*o**2 - 11*o + 26. Let a be b(8). Find the common denominator of 35\/2 and 5\/((-15)\/a)*(-268)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/50832 and -127\/6354.\nAnswer: 50832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -970547, -970510, -970473, -970436?\nAnswer: -970399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 21*c**2 - 104*c + 905. Let a be z(18). What is the nearest to 2 in -3\/5, -3\/17, a, -2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*u - 1 = 82*u, 4*b + u - 41 = 0. Solve 0 = -b*v - 5 - 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 + -2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1261068\nAnswer: 3783204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2 + 9*k**2 + 1 + 16*k**2. Let w(l) = -10*l + 11. Let m be w(1). Suppose -2*o = -p + 11, -p - 3*o - m - 13 = 0. Calculate r(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*u + 90*u = 1814 + 1196 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (-75)\/45 - 7 - 1*-3. What is the nearest to 1.8 in 2\/15, v, -0.16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7563319 rounded to one decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -1\/4, -0.2, -0.032, -2\/7?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1550 and 10082750?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -33, -3, 3, -801?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.5 and -713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (2 + 3627 - 0). Let l = -58073\/16 + r. Calculate the common denominator of l and -59\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5, 0 = 2*k + 2*k - b + 25. Let s be 14\/k + 2\/(-10). Let t = s - -5. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 4 - 7 + 11.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, 262, 621, 1154, 1879, 2814, 3977, 5386?\n\"Answer: 3*f**3 + 60*f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3980 - -9932. Does 186 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvvvtgvtqvyxqyqvxqg. Give prob of sequence gqg.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21272)\/32 + 2\/(-8). Let r be -2 + (k\/45)\/(-7). Is -1 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + u**2 + 1689016*u - 1689016*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 + 6*d + 6. Let k be -4 - (2 + 0 + 0). Let y(n) be the second derivative of n**4\/12 - n**3\/6 - n**2\/2 + 3*n. Determine k*y(r) - f(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**3 + 3*v**3 - 2*v**3)*(-32 + 15 + 9) as j*v + n*v**3 + f*v**2 + b and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let r = x + -1. Let n be ((-2)\/(-3))\/((-6)\/(-18)). Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 36662*h**2 + 0*h + 0*h - 36655*h**2 to u + c*h**2 + x*h and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -8*x + 3*x + 2, -4*d - 4*x = -16. Let t(r) = 10*r + 52*r**2 - 21*r**d + 2 - 30*r**2. What is t(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:39 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifi when three letters picked without replacement from {f: 3, i: 6, k: 3, q: 5}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 times 5.85?\nAnswer: -1708.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24254287\/396 - 61248. Find the common denominator of 149\/1056 and o.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3 + 12. Suppose -4*a + 67 = j, r + 19 = a + 2*j. Let v(x) = -x**2 + 19*x. What are the prime factors of v(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:08 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7))*5)**2*6.\nAnswer: 300*sqrt(7) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 3*u**2 + 2*u**2 - 16 - 4*u**2 - 3*u. Let t be o(-5). Is (-1)\/(0 + t\/(-204)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 214953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(12*f**2 + 13*f**2 - 3*f**2)*(0*f + f - 2*f) in the form q*f**3 + o*f + v*f**2 + w and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 14*w - 1272. Calculate the common denominator of -131\/192 and (-30)\/(-80)*w\/9.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3486 and 606564?\nAnswer: 606564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**6\/360 + i**3\/6 + 11*i**2\/2 + 2*i - 5. Let v(x) be the second derivative of b(x). Let a(z) = -5*z. Give v(a(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 49. Suppose -21*q - 28 = -i*q. Is 3 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13572, -25, -0.3, 4\/7 in increasing order.\nAnswer: -25, -0.3, 4\/7, 13572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(4 + 25) - -1. Is ((-2)\/3)\/(x\/14154) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6604 - -6546.16. What is c rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03566916405 rounded to 4 decimal places?\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 2)*(20 - 3*c - 20)*((-5 - 8 + 4)*(0 + 4 - 3) - 1 + 2 - 2).\nAnswer: -270*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 3599\/177 + 2 + (-2)\/6?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85106 + -85104. Factor 6\/5*a**g - 6\/5*a**3 - 2\/5*a + 0 + 2\/5*a**4.\nAnswer: 2*a*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22435 = -10*f - 6665. What are the prime factors of f?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 + 2*k + 26. What is the units digit of u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1531, -3006, -4481?\nAnswer: -5956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (343\/(-8)*2)\/(945\/(-540)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 0.089.\nAnswer: 7.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 1. Let o be i(2). Let p(u) = -7*u + 3. Let a be p(o). Suppose -5*t = -a - 43. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171680065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.44*-0.09253.\nAnswer: -0.2257732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2006*f + 37 = -2001*f - 4*r, f - 3*r = 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41140)\/(-54) + (-1 - 1). Let l = z - 760. Let t be ((-2)\/(-3))\/(4\/6). Is t at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 13*g**4\/12 + 67*g. Let h(i) be the first derivative of -i**2 - 4. Determine k(h(s)).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2316, 4673, 7116, 9687, 12428?\n\"Answer: 7*k**3 + k**2 + 2305*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*a - 44 = 0, -193 = -y - 4*y + a. What is the remainder when y is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00174 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -4 (c) -1 (d) 182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10997 + -10995. Put 3, 1, p, 6, 4 in increasing order.\nAnswer: 1, p, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-44)*(-24)\/21. What is the second biggest value in r, -1\/4, 1, -50\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 2, i: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*i + 6004*i**3 - 3246*i**3 + 317*i - 2755*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1193, -1278, -1415, -1604, -1845, -2138, -2483?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65\/264 - -1\/264. Let g = 8 - 9. Let t = 21 + -21.04. What is the closest to g in t, 6, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14929*g + 14925*g + 16 = -5*i, -i = 5*g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 3:51 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - q + 5*q**3 + q**3. Let j(s) = -9*s + 46. Let r be j(5). Give x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145268979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/2) - -2. Suppose b - 3 = r. Is r equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, t: 6, d: 3, u: 1, e: 2}. What is prob of sequence qqud?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2728 + 419.6611193.\nAnswer: 3147.6611193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38039, -76081, -114123, -152165?\n\"Answer: -38042*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2641 and 1529?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 620 = 647. Let i = 186 - u. Put 4, -1\/3, -5, i in ascending order.\nAnswer: -5, -1\/3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382722.\nAnswer: 2, 31, 38431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/202 (b) -4\/42907 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 14*a + 2115. List the prime factors of n(0).\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69339817201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 25 = 5*u, -4*c - 2*u + u + 24 = 0. Let a(n) = n - 4. Give a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1684804*q**2 - 14745280*q + 32262400.\nAnswer: 4*(649*q - 2840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*r + 7 = -407*r. Solve 0 = -3*b + 1 - r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/240*12*(-2)\/27\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6781029337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = 3*k. Which is smaller: -5\/3 or k?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dd + -3?\nAnswer: 1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/20 and 77\/26897764?\nAnswer: 134488820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/460 + (-84)\/15*-1)*4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109703 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Let k be s(-2). Suppose -k*u = -7*u + 10. Suppose m + m = u. Solve 2*z - 9 = -m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002191008 to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-14))\/(72\/(-71568)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 8:19 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -31*v**2 + v. Let l be y(-2). Let d be 26\/l + 20\/(-90). Let p be 0*4*(-6)\/24. Is d smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -12*i**7\/7 - 113*i**4\/6 + i**3\/3 + 11*i - 13. Find the third derivative of g(y) wrt y.\nAnswer: -4320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12666, -25410, -38246, -51180, -64218, -77366?\nAnswer: -90630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -2\/105*y**7 + 4\/25*y**5 + y + 50 + 1\/15*y**6 + 0*y**2 - 17\/30*y**4 + 2\/5*y**3. Solve c(f) = 0 for f.\nAnswer: -2, 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 144396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 61\/3 (b) -53 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 13*k**2 + 61*k + 771. What is q(-13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650626 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c - 26. Let z(x) = -x**2 + 7*x - 28. Let f(l) = 4*i(l) - 3*z(l). What is f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32170, -29833, -27496, -25159, -22822?\n\"Answer: 2337*o - 34507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(11))*6*3.\nAnswer: -54*sqrt(11) - 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 4. Let m be b(0). Suppose -4*r - 1082 + 5194 = 0. Let u = 1038 - r. Solve 0 = -g - i + 2, -5*g + m*i = -u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.622 and -3.85319.\nAnswer: -13.47519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*g - 62*g - 70*g - 92*g - 37*g.\nAnswer: -178*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*q + 11 + 11, -3*q - 4*f = -4. Suppose 1 + q = 5*n, -16 = -5*p - n. Solve 5*l = p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 3*q, 0 = 4*q - 2*d + 3*d - 1. Let p = q - 0. Suppose p*f = -f - 5. Let r(u) = u - 2. What is r(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 3?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 12*c**2 + 28*c + 161. Calculate j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48\/131 - 10847\/786. Let u = -6109\/20 - -1241\/4. What is the common denominator of u and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, 301, 999, 2063?\n\"Answer: 183*k**2 - 217*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 2. Let g be v(-5). Let d be ((-4)\/g)\/(1\/16). What is the second derivative of 0*h - 3*h**4 + d*h**4 - 4*h + 0*h wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0)*(-35)\/350\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000402685457 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + 71*k. Let j be l(-14). Suppose -m + 18 = -3*m. Let c = j - m. Put -3, 5, c in descending order.\nAnswer: 5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6901 (b) -1.9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.0491, 1\/2 in increasing order.\nAnswer: -3, -0.0491, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7819, -7695, -7489, -7201, -6831, -6379, -5845?\n\"Answer: 41*v**2 + v - 7861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21562 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 324*c - 442*c - 344*c in the form v*c + y and give v.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o. Let z be -2 + -2 - (o + -6). Which is the second biggest value? (a) 1\/5 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506489414 to the power of 1\/2, to the nearest integer?\nAnswer: 38814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 2*x - 2. Calculate the least common multiple of 6 and j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let w(j) be the second derivative of j**3 + j**2 + 4*j + 71. Suppose 0 = -f - 2*f + 3*x + 15, 2*x = -3*f. Calculate f*w(v) + 10*c(v).\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1630, -3188, -4748, -6310, -7874?\n\"Answer: -k**2 - 1555*k - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3520855500 to the nearest integer?\nAnswer: 59337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3565549 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*-2*(-4)\/(-16)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2\/9*n - 2\/9*n**2 + 4\/9 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/54*3)\/((-8)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, -80, -295, -624, -1079, -1672?\n\"Answer: -2*c**3 - 39*c**2 + 18*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**5 + 14*t**4 - 2*t**3 - 19*t**2 + 23*t + 5. Let m(y) = -y**5 + 8*y**4 - 2*y**3 - 10*y**2 + 11*y + 2. Let i(r) = -5*m(r) + 2*u(r). Factor i(j).\nAnswer: 3*j*(j - 3)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -157*s + 968 - 972 + 163*s. Let o(f) = -3 + 3 + 3*f. Calculate o(b(p)).\nAnswer: 18*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1280380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1305\nAnswer: -4\/1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -2, y - 2*m + 5 = 0. Suppose -1 = -y*s + 8. Factor -2\/7*l**4 + 0 - 4\/7*l**2 - 6\/7*l**s + 0*l.\nAnswer: -2*l**2*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 + (6 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36566701, -36566702, -36566705, -36566710, -36566717?\n\"Answer: -f**2 + 2*f - 36566702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*f + 22, 12*f + 22 = 5*b + 13*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/6)*b)**(10\/9))**(1\/13)\/(((b*b**0\/b)\/b)**(-2\/13))**(-34) assuming b is positive.\nAnswer: b**(1861\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5518*c - 832 = -5550*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204013*c + 204115*c = -3978 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-340)\/(-65) - 276\/1196) + (-70)\/6?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 - l**2 - 1 - 43 - 20.\nAnswer: -l**2 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 27 = -p, -4*p + c - 21 - 12 = 0. Let a = p + 2. Is 25 a factor of (-2)\/4*420\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2308 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*q, 0*q + 4*q = -12. Let n(j) = 20 + 0*j - 11*j - 20 - 3*j - 24. Let r be n(-2). Sort 1, t, 2, r.\nAnswer: t, 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342233.8l in millilitres?\nAnswer: 342233800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4\/1383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 1441938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 1. Let m(g) = 4*g - 4. Let s(i) = -15*b(i) - 3*m(i). List the prime factors of s(7).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, -118, 4.159 in ascending order.\nAnswer: -118, -0.5, 4, 4.159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -93, -19 in descending order.\nAnswer: -19, -82, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20498.379 seconds?\nAnswer: 341.63965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 15 + 41 = 0. Suppose 3*v + 2*v = w + l, -16 = -2*v + 4*w. Differentiate v*k + 1 - 2 + 3*k with respect to k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 3032034410?\nAnswer: -3032034401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1 - -7)\/2. Let x = 1.1 + -0.8. Put 0.05, h, x in increasing order.\nAnswer: 0.05, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -59, 0, -3 in descending order.\nAnswer: 0, -1, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -751, -4, 0.3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*1 - (2 + sqrt(612)).\nAnswer: -2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 4*v + 1. Let k(q) = 5*q**2 + 11*q + 7*q**2 + 4 - 7*q**2. Let i(o) = -3*k(o) + 8*x(o). Give i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 4*t**2 - 3*t + 2. Is c(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 30*z**2 + 18. Let x be v(-30). Which is the closest to 2? (a) x (b) 3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 - 78. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -298 + 1353. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 2. Suppose -16 = -0*o + 4*o. Let f be d(o). What is the first derivative of 0*t**4 + f*t**4 - 2 + 0 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 9}. Give prob of picking 3 i and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 61\/2 of a millimeter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) -67 (c) 0.4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 76\/(-6) - 4\/12. Let j = 26 + g. Suppose -j*k = -16*k - 12. Which is the closest to -2? (a) k (b) -2\/15 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1576\/5 greater than -315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2128 = -4*b, 2*b + 2*l - 1675 = -611. Let g = 541 - b. Solve 4*i - 3*d = -7, i - 4*d + 1 - g = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1) + (1 - (-4284)\/(-16)). Let z = r + 267. Which is the fourth smallest value? (a) -0.1 (b) -0.3 (c) z (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*6\/516)\/(2\/3*588\/392)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -728, -725, -722, -719, -716, -713?\n\"Answer: 3*i - 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from bmmpbppmpxmpbppqpbbp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 1*-2)*0. Let q(y) = -y**3 - 7*y**2 - 5*y + 8. Let u be q(-6). Suppose 9*a - 12 = 7*a. Solve x = 5*v + 4*w - 30, -u*v + 3*w - a = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34048 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*f - 31 = 0, -5*d + 34 + 11 = 5*f. Let y(n) = n - 1. Let s be y(3). Solve 18 = u + d*m, s*u + 4*m = 16 + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253 - 131. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3401433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2, 2, 0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 3, k: 7, c: 3}. Give prob of sequence vn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.6400526 - 94.5.\nAnswer: -102.1400526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*m - 13. Suppose -m*g - 9 = -6*g. Suppose 3*h - g = -2*p, 2*h - 3*h + 2*p - 7 = 0. Which is smaller: -10\/21 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(58 + 196 - 41) + 3 + 0 + 0 + (-4 - 1 + 3)*(4 - 2 + 0))*(-v**2 - 3 + 3).\nAnswer: 427*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.3, 2, -0.88, 8, 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 24*d**2 - 7*d - 42. Is 14 a factor of q(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 19. Solve r = -q + 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 15*s + 3. Let f be o(-7). Let x(u) = -u**2 - 18*u + 28. Let i be x(-14). Let z be i\/22 + (-26)\/(-143). Sort z, f, 3, 1.\nAnswer: f, 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.24 - 0.24. Let b = h - 6. Put 0.3, 3, b in ascending order.\nAnswer: 0.3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 174. Let n be (u\/(0 - -4))\/1*-2. Suppose -q = 2*f - 6*f, 4*f = 2*q - 4. Put n, 0, f in descending order.\nAnswer: f, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 24511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -98\/5, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -16. Suppose p - 1 - r = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x**3 - 3*x**2 - 3*x - 4. Let p be d(3). Suppose 0 = -11*z - 60*z + 32*z + 273. Calculate the highest common divisor of p and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2967 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 42*d - 25*d + 0 - 1 - 25*d + 46*d.\nAnswer: 38*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 132511*j + 5697968. Determine v(-43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x - 1557*x**5 - 26*x + 3*x**2 + 1548*x**5 wrt x.\nAnswer: -180*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 128722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*-2*(1 - 2). Let n(f) = 47*f - 3. Let s be n(u). Calculate the greatest common divisor of s and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1239 and 210?\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303555 is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r - 1. What are the prime factors of p(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**3 + r**2 + 10*r + 7. Let k(c) = -3*c**3 - 3*c - 2. Determine 2*a(b) + 7*k(b).\nAnswer: -3*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2713?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:56 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1774*o**2. Let i(d) = -2*d. What is c(i(r))?\nAnswer: -7096*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b + 4*b - b + (2*b + 0*b - b)*(0 + 2 - 3) + (5*b - 3*b - 3*b)*(19 + 94 - 5))*(-3*b + 0*b + b) to i*b + g + q*b**2 and give q.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkbbbbbk. Give prob of picking 3 b and 1 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*b + 17052 = 470*b - 368*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1477?\nAnswer: -147c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209457 or 106\/7?\nAnswer: -209457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/19)\/f)**(-19)*((f\/f**(2\/53))\/f)\/f**11 assuming f is positive.\nAnswer: f**(528\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1380 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/106 and -97\/46783630.\nAnswer: 46783630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5183\/3 + -1660. Let a = -68 + w. Let g = 0.74 + -0.7. What is the third smallest value in g, a, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210197548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*y - 8, -c - 4*y + 2 = 8. Let a(w) = 2*w**2 - 2*w**2 + 2*w**c. Let r(t) be the second derivative of -t**4\/3 - t. Determine a(r(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2) + -6 + -1. Let i = l + 17. Let g(q) = q**2 - 4*q - 10. List the prime factors of g(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21*(-5)\/(30\/(-21))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14133 (base 6) in base 9?\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from uqfqfnw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*-1*sqrt(128)*1)**2.\nAnswer: 160*sqrt(2) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**6*r - 64*b**3*r**2 - 875*b**2*r - r**2 wrt b.\nAnswer: 720*b**3*r - 384*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1443328\/11 + 131488. Factor -722\/11*s**4 - 32\/11 - 3504\/11*s**2 + 640\/11*s + k*s**3.\nAnswer: -2*(s - 2)**2*(19*s - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3120 - -2403. Is -716 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 27 = -3*p - 2*y, 25 = 5*p - y. Calculate the smallest common multiple of (-224)\/(-40) - p\/(-10) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -9*g**4\/2 + 8*g + 9. What is the derivative of u(b) wrt b?\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*g**3 + 427*g + 179*g + 125*g**3.\nAnswer: 6*g**3 + 606*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 e when three letters picked without replacement from {t: 12, e: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -1\/2*f + 7\/4*f**2 + 0 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from zzzzzqzzzzoqozzxozqx?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:11 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**3 + 5*r**2 - 7*r - 2. Let m(w) = 2*w**3 + 2*w**2 - 3*w - 1. Give -2*d(j) + 5*m(j).\nAnswer: 2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -678, -674, -668, -660, -650?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - c - 4, 2*f - 6*f + 6 = c. Suppose -w + k - 4*k = -9, -6 = -4*w - f*k. Let m = 3 + w. Solve -13 = -m*n - 5*v, -n + 2*v - 14 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25612 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g - 9. Let x be b(-3). What is the derivative of -13*f**x + 0*f**2 - 15*f**3 - 48 + f**2 - 18*f**3 wrt f?\nAnswer: -138*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 321*s\/5 + 2646\/5.\nAnswer: 3*(s - 98)*(s - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.28 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 11:03 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-27)\/6) - 76\/57. Suppose 0*x - 3*x + 13 = -2*i, 3*x - 16 = -i. Which is the closest to l? (a) x (b) 4 (c) 0.5 (d) -12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79 + 3*u + 0*u - 2*u - 2*u to the form i*u + s and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2648147 + 10.\nAnswer: -2648137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*i + 55, 0 = -u - 3*u - 8. Let y be 5\/i*(-2 - -8). Suppose 5*r + 4*d = 1, 0 = -2*r - 2*r - 5*d - 1. Sort y, -3\/5, r in decreasing order.\nAnswer: r, -3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24504058 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 173, 202, 217, 212, 181, 118, 17?\n\"Answer: -z**3 - z**2 + 39*z + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*s + s. Suppose 153 = z + 3. Suppose -q + 0*q + 3*t + 70 = 0, 3*q + 3*t - z = 0. Calculate the greatest common divisor of s and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*m = 24*m + 1824 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6324\/264959?\nAnswer: -6324\/264959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50963 is divided by 1016?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 * -0.067.\nAnswer: 4.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044957445 rounded to seven decimal places?\nAnswer: -0.0004496","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 4 - 10, -11 = 3*q - 2*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 14) + 1 + -35 - (47 + 0 + 1)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/10)\/(1\/(-252)). Let q = i + 76. Let j(f) = -f**3 + 4*f**2 + 4*f + 3. Let w be j(5). What is the nearest to 1\/3 in q, w, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/19 and (-2)\/(-10) - 1206\/180.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*a + 6. Solve 0 = v + n + 2, -3*v + n = a*v - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3869 = 13*y - 16*y, 0 = -y + 3*f - 1299. Let i = 2288 + y. List the prime factors of i.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 9*i + 2. Let t(s) = -s**3 - 5*s**2 - 6*s - 4. Suppose -5*r - 9 = 11. Let a be t(r). Calculate the remainder when y(a) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1140000 = -3*w. What is w rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13388, 26836, 40350, 53930?\nAnswer: 67576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.022? (a) 174.6 (b) 0 (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from sbbbbbbsbb.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**4 - 404*f**3 - 956*f**2 - 240*f.\nAnswer: f*(f - 60)*(f + 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-2)\/8*(-103)\/(3708\/48).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12081?\nAnswer: 3, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1137655 - -1959542. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530209, -529412, -527247, -523030, -516077, -505704, -491227, -471962?\nAnswer: -447225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5071055470 to the nearest integer?\nAnswer: 71211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -175038, -1400165, -4725486, -11201097, -21877094, -37803573?\n\"Answer: -175016*t**3 - t**2 - 12*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 76252?\nAnswer: 1\/19063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2 + 4*m**2 + 0 + 2194*m - 2181*m. Is 7 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -41 + 47 + 260\/(-13)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o. Let p be z(-1). Let q = p + 18. Let w = q + -6. Solve -w*v + 5*v = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 25. Let b be t(12). Let s be (0\/(-10))\/((-2)\/b). Suppose s = -y - 10 + 6. Let d(v) = v + 7. Give d(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 - 212 = 0. Suppose 6*z + o = 167. Suppose b - 22 = -z. Solve -3*r + b = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9209600 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 21. Calculate c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1\/4 (b) 379\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = -5*x, 4*b - 3*x - x = 0. Suppose -y - 4 = -b*y. Suppose 0*w + y*w = -4. Let c(p) = -4*p**3 + p**2 + p. Determine c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 + b40?\nAnswer: b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -220\/9, 2, 3, -2\/3, -6.3 in descending order.\nAnswer: 3, 2, -2\/3, -6.3, -220\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3486902 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 567270719\/2583 + -219617. Find the common denominator of d and 3\/1148.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/5 + 786*r**3\/5 + 21141*r**2\/5 + 22260*r - 313404\/5 = 0. What is r?\nAnswer: -14, -13, 2, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -587 (b) 0.1 (c) 18\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18536406 and 63?\nAnswer: 55609218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987, -1095, -1277, -1539, -1887, -2327, -2865, -3507?\nAnswer: -4259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/10 - 635*z**4\/6 + 99847*z**3\/3 + 305283*z**2 + 1732*z + 2. Suppose v(g) = 0. What is g?\nAnswer: -3, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u + 1196 - 200 = 457 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from dexexdxddeeeeeddexee.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358 and 1600.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2568.7 + 2569. What is the closest to -3\/8 in -3\/10, -4, q, -3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133714680 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-896340)\/1066128 - 4\/14. Let l = j + 120\/167. Find the common denominator of l and (58\/(-66) + -1)\/((-8)\/(-6)).\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283554513 to the nearest integer?\nAnswer: 35827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 351097360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/8*2)\/(858*7\/1232)*4.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/17 + -49\/68. Let r = -17 + 14. What is the closest to w in -5, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7221586.\nAnswer: 2, 23, 37, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -7 - 34 - (2 + (-9 - 0)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 457371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -147601416 divided by 3\nAnswer: -49200472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17896 and 240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + 3805*g**2 + 172867*g - 176673 = 0. Calculate g.\nAnswer: -3759, -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 37*m**5\/20 - 19*m**4\/24 + 17*m**3\/3 + 147*m**2. What are the prime factors of l(2)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4922964561 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -29*z + 108. Determine m(14).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/8*4 - 2. Find the first derivative of -k + 0*a + 3*a - 18 - 2 wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9529 - -9528. Let j = 192 - 1726\/9. Sort 0.5, 5, n, j in increasing order.\nAnswer: n, j, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 5*x - 2. Let i be f(-5). Let b(h) = -6*h**3. Let n be b(-1). Put i, n, 0.3 in decreasing order.\nAnswer: n, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2734564.\nAnswer: 2, 7, 127, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5337 is divided by 1750.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10119271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 33\/(-7) - (-28)\/98. Let i(r) = -2*r**2 + 17*r - 28. Let z be i(j). Solve 0 = -2*v + z*x - 5*x, 0 = 4*v + 2*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 54, 48, 40, 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*a = -116*a - 520. Sort 10, 2, a.\nAnswer: a, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4215.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 - 5*l - 2. Let h be n(-2). Let w be 4\/(-10) - (-8 - h). Which is the nearest to -1\/7? (a) w (b) -1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118836, 118810, 118790, 118776, 118768, 118766?\nAnswer: 118770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1 - (-2 - -4)) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (27 - 1) + 0 + -11 + -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71790 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 9. Let p be (m\/(-4))\/((-18)\/(-24)). Solve -q**3 + p*q**5 + 1\/3*q + 1\/3*q**4 - 1\/3*q**2 + 0 = 0 for q.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*k = 8, -2*k - 4 = t - 9*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50916c (base 13) to base 4.\nAnswer: 13022020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)*-1 + (sqrt(112)\/sqrt(2))\/sqrt(2))\/(sqrt(108)\/sqrt(3) + (sqrt(128) - sqrt(32))\/sqrt(8)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 + d**2 - 5*d + 1. Let v(s) = -10*s**3 - 2*s**2 + 11*s - 2. Let n(i) = 7*r(i) + 3*v(i). Determine n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/21 - -3*816\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -856*g. Let s(i) = -2*i**2 - 168*i + 112. Give s(a(y)).\nAnswer: -1465472*y**2 + 143808*y + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 1:57 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, q: 1, l: 1}. What is prob of picking 1 l and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200020 (base 3) in base 8?\nAnswer: -2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246377, -245320, -242451, -236864, -227653?\nAnswer: -213912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/5*g**3 + 8\/5*g**4 - 148\/5*g**2 - 8 - 198\/5*g = 0. Calculate g.\nAnswer: -5, -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**6 - 4*s**5 - 4*s**4 - 5*s**2 - 4*s - 4. Let g(d) = d**5 + d**4 + d + 1. Let o(i) = c(i) + 4*g(i). What is the third derivative of o(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2 + 8. Suppose 5*y - 82 = -q, 0*q + w*q = -2*y + 42. Let g(b) = b**3 - 9*b**2 - 10*b. Let d be g(10). Solve d = -7*z + 3*z + y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*z = -2903153 - 2612190 - 2568338. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45154680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s - 972 = -85*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 77*l - 5. Let j(b) = -12*b**2 + 314*b - 21. Let v(h) = -2*j(h) + 9*s(h). Let p(g) = -g**2. Calculate v(p(u)).\nAnswer: -3*u**4 - 65*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/(36\/48). Let k be 2195\/(-20) - n\/8. Are k and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -9*c**4\/8 - 27*c**2. Let p(z) = -2*z. What is p(n(v))?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176644957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-12)*1*4. Let q = -5 + t. Let b = q + 0. Solve -b*a + 1 = -3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 4486?\nAnswer: 13458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**6\/360 + p**5\/30 + p**4\/24 - p**3\/3 - 3. Let y(r) be the third derivative of b(r). Calculate y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-63) + (199\/(-7) - 3). Let d(k) = k**3 + 2*k**2 + 3*k + 7. Let f be d(-3). Let l = f - s. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3588438 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28 + 61807)*(-1)\/6*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*u + 444, 4*u - 3*o = -0*o - 424. Let m = -105 - u. Solve m*j = -8, y + y + j - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 12*c - 11*c. Suppose 4 = -0*t - t - 2*l, -c*t = -l - 35. What is the lowest common multiple of t and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 14 = 4*u, u + 56 = -26*a + 9*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-32 + w + 32).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 2*k + 30. Suppose 3816 = k*v + 2*p, 0*v - v = 3*p - 771. Let o = -443 + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2719072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-600) - (0 - 12\/65)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 8*l + 11. Let a be ((-10)\/(-3))\/((30\/(-9))\/(-5)). Solve w - a = -l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -363012549.68648 and 5.\nAnswer: -363012544.68648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -154, -147, -140, -133, -126?\n\"Answer: 7*m - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 11. Suppose -89 = -n*p - 3*b - 2*b, -3*b + 59 = 2*p. What is the greatest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10078 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*w - 3*w**2 - 28 + 82 - 23 - 31.\nAnswer: -3*w**2 - 711*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 2. Let g be t(-1). Suppose 3*a + 38 = g*k - 23, a + 3 = 0. Solve 2 = 5*f - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1234*0.520256\nAnswer: 641.995904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -436 - -432. Sort 34\/7, 0.3, m, -2 in ascending order.\nAnswer: m, -2, 0.3, 34\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 - 5*h**3 + 2*h**3 + (4 - 4 - 2*h)*(-2*h**2 + 3*h**2 + 2*h**2).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*a**3 + 9\/5*a - 18\/5 + 2\/5*a**2.\nAnswer: -(a - 3)*(a - 2)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-6\/5))\/(a\/(a**11\/a)))**(-5\/13) assuming a is positive.\nAnswer: a**(-49\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 14*j**2 + 52*j + 118. What is u(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 55. Let j be 70\/28 + (-1)\/a. What is the second derivative of 8*w**2 - 13 - 30*w**2 + 4*w**2 + j*w wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 30\/7*o - 3*o**2 + 3\/7*o**3.\nAnswer: 3*o*(o - 5)*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12815 = -4*f + 3275, 4*f + 3*p - 16065 = 0. Let v be ((-18)\/(-45))\/((-3)\/f). Let n = v - -933. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20018147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/5 - 156*h**4 + 27216*h**3\/5 + 11356*h**2 + 28782*h\/5 = 0. Calculate h.\nAnswer: -1, 0, 41, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 + 3*y**2 + 3*y + 28. Let b(l) = 7*l**3 + 7*l**2 + 7*l + 56. Let k(v) = -2*b(v) + 5*w(v). What is k(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.93 - -4. Let q = 0.23 + r. Which is the nearest to 0.1? (a) q (b) 3\/8 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 43 + 248 = 0. List the prime factors of n.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 + -75 + 126 + -78?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1489 - 305*c - 1489)*(-2*c + c - 3*c).\nAnswer: 1220*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -328 (b) 0 (c) 4 (d) -3\/52 (e) -3 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 7 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63320 is divided by 15549?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*s**2 + 142 + 6*s**4 - 283 + 143 + 10*s**3 - 5*s**4 to the form z*s**2 + i*s**4 + y*s + v + a*s**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t - 23. Determine z(10).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3698, -3735, -3772, -3809, -3846?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n - 2. Let q(l) = -31*l + 13. Determine 34*g(i) + 6*q(i).\nAnswer: -16*i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267604?\nAnswer: 2, 13, 19, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830684829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*a**6 - a**3*h + 116*a**2*h + 2*h wrt a.\nAnswer: -8640*a**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92)\/5 + 3\/(-5)*1. Let u = f + 24. Let b = -415 + 419. Let v(m) = 6*m + 4. Let l(a) = -7*a - 5. Give b*l(d) + u*v(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4875 and 8\/57.\nAnswer: 92625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**2 - 791*j**3 - 2 + 18*j**2 + 18*j - 19*j.\nAnswer: -791*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797991?\nAnswer: 3, 461, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -0.38. Let r = 0.91 + 0.09. What is the second smallest value in 2\/5, x, 4, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**3 - 13*p**2 + p. Let z(h) = -h + 5. Suppose 6 = 2*q, -q - 2*q = -o + 33. Suppose -o = -28*v + 42. Give v*u(a) + 16*z(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 8*i**2 + 30. Let s be y(9). What is the highest common factor of s and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3629328?\nAnswer: 2, 3, 75611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e02 - -5?\nAnswer: -8dec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 15. Solve -l*i + 3 - 11 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806359782 to the power of 1\/2, to the nearest integer?\nAnswer: 42501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/7 in 0, -5, 3, 1\/2, -1.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-9)\/30)\/(42\/791) and 2 + ((-450)\/28)\/5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 0*r**2 - 52*r**3 + 2*r**2 + 19*r**3. What is the units digit of b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 - 2 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26708*d + 26705*d + 14*k = -77, -3*d = -3*k - 33 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -12*q. Let v(g) = 6*g**2 + 81. Determine v(n(i)).\nAnswer: 864*i**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/3 - 7\/3. Put 4\/11, p, -4 in ascending order.\nAnswer: -4, p, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/87, 5, -0.6, -7, 8\/5, -71?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - q)*(1954*q + 50*q + 3 - 2 - 1).\nAnswer: 8016*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587556 is divided by 680?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 12*f**2 + 9*f - 16. Let p be j(-11). Suppose -2*h + 4*h = p. Let i be (4\/(-12))\/((-1)\/h). Sort -3, -1, 5, i in decreasing order.\nAnswer: 5, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 72?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 8. Let h = 12 + 42. What is the remainder when h is divided by z(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - f = 1 - 3, 5*f - 40 = -5*k. Suppose -k - 12 = 5*d, 5*b - 137 = 4*d. Let l = -17 + b. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/16 - 1)\/(6\/(-8)). Suppose -s*r = 3*r - 45. What is the second derivative of -19*g - 1087*g**2 + 1087*g**2 + 25*g**r wrt g?\nAnswer: 500*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -30*(0 - (-4)\/(-6)). Let x be 371\/35 - 6\/10. Suppose p - x = -p. Solve -p*j + 0*j = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/sqrt(7)*-3)\/(1*sqrt(576)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -39*y**3 - 3*y**2 - 4*y. Let v(k) = 39*k**3 + 4*k**2 + 5*k. What is 5*t(w) + 4*v(w)?\nAnswer: -39*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251926744 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -4*r + 3*g, -4*g + 10*g + 95 = -2*r - g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1\/20*c**4 + 7\/2*c**2 + 0*c + 6 + 3\/100*c**5 + 0*c**3 + 1\/200*c**6. Let i(b) be the second derivative of k(b). Factor i(n).\nAnswer: 3*n*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142651 (base 9) in base 15?\nAnswer: 1acdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-4)*j*j*(j*j**(2\/15)*j)\/j*j*j*(j**(-2))**(3\/25) assuming j is positive.\nAnswer: j**(142\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-36)*4*0. Let q(m) = d + 0*m**2 - 1 - 2*m + m + m**2. Let n(t) = 4*t**2 - t - 4. Let z = 807 + -810. What is z*q(x) + n(x)?\nAnswer: x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102736 is divided by 5135.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 119740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 711779209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.077 * 27.181\nAnswer: -2.092937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (0 - (-1 - 8)). Sort -59, 27, a.\nAnswer: -59, a, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*v - 155. Let s = -12 + 28. Let k = s + 0. Calculate the greatest common divisor of k and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -129\/2. Sort 0, 3, 4, f in decreasing order.\nAnswer: 4, 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b402e (base 15) to base 5\nAnswer: 320023134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 438978 divided by -392\nAnswer: -219489\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/3)*w)\/w)**(2\/123))**36*(w**(1\/5)\/w*w**6\/w)**(-4\/9) assuming w is positive.\nAnswer: w**(-908\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111 + 1022202202?\nAnswer: 1022120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.1413771us in weeks?\nAnswer: 0.00000000027305121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 84*r - 64\/3*r**3 + 56\/3*r**2 + 48 + 4\/3*r**5 - 8\/3*r**4 = 0.\nAnswer: -3, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5210*q**3 - 8*q**2 + 223626*q wrt q?\nAnswer: -31260*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -267 - 83. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4545 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/150)\/(6\/30)*-75*(-13)\/1755.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001128 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15\/5*(-3)\/(-9)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2498659*p**4 + 19933544*p.\nAnswer: -29983908*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*i = -2573 - 2233 - 2487 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 159.98*3\nAnswer: 479.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 9*u**6\/20 - 7*u**5\/30 - 7*u**4\/12 - 7*u**3\/3 - 915*u**2. Let d(o) = 11*o**3 - 3*o**2 - 3*o - 3. Calculate 28*d(f) - 6*l(f).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 4:05 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2\/3*f**3 + 0*f**4 + 0*f - 1\/3*f**6 + 0*f**5 + 1 + 0*f**2. What is the third derivative of z(v) wrt v?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 0*i - i**2)*(0 + 0 + 2*i**2) + 72*i**3 + 214*i**4 - 72*i**3 as v*i**3 + y*i + l + w*i**4 + c*i**2 and give w.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b**2)*(-12 + 2*b - 3*b - b).\nAnswer: 4*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 10. Let m be ((-9)\/(-27))\/(x\/(-3)). Let j = 2.89 + -1.89. Which is the nearest to j? (a) -1\/2 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*150\/(-950)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m + 4084 = -2*w, 3*w + m = -6136. Suppose -6*v + 1783 = 10291. Let i = v - w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + 74\/3. Let n = r - 385\/6. Which is the biggest value? (a) 4 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1738*a + 3957*a + 3 - 2.\nAnswer: 5695*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.1 + -8. Let y = b + 0. Let c = 3 + -2. Put c, -0.1, y in descending order.\nAnswer: c, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36351 is divided by 107.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**5\/30 - 3*d**2. Let l(t) = 6*t - 9*t + t. Determine m(l(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838866.\nAnswer: 2, 3, 7, 19973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = 36*h - h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -y, -3*y + 4*m - 10 = 4. Suppose 5 = u - 1. Let z(t) = 5*t + 2 - u + 7. What is z(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*715\/(-1650)*2*-1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -344 times 2.56\nAnswer: -880.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, i: 3}. What is prob of picking 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30277 to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-21)\/9) - (5 + (-1485)\/280). Is 415 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 11*q - 4. Let z = 31 - 4. Suppose 3*b - p = -z, -2*p + 2 = b - 6*p. What is the units digit of u(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**37*z)\/z*z))\/((z*z**(2\/3))\/z) assuming z is positive.\nAnswer: z**(-113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 1\/4 (c) 3\/4 (d) 0.206 (e) -1\/3 (f) -14884\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 74568.1 and 22?\nAnswer: 74546.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716 + 181*i**2 - 716.\nAnswer: 181*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)\/h**(3\/8))**(4\/7)*(h**(1\/2))**(-49)*h**3*h**5 assuming h is positive.\nAnswer: h**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397260315 + 397260315 - 5*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((2 - 10) + 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/3))**(14\/9) assuming r is positive.\nAnswer: r**(-56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/5 (c) -3\/7 (d) 3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 562809763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15\/3*7\/((-5950)\/(-51))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:44 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*x - 16 + 60 = 0, -4*d = x - 77. Calculate the lowest common multiple of 2\/1*(d + 17) and 4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372 divided by 93.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 9. Let z be c(-7). Solve -z*h - 2*h + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.2. Let i = -0.1 - x. Let z = 96 + -674\/7. Which is the third smallest value? (a) z (b) i (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - -1.6. Let v = o + 0.4. Which is the closest to -0.1? (a) 4 (b) v (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.07 - 0.2.\nAnswer: 9.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 64 + 24 = 0. Let u = 25426 + -25414. What are the prime factors of (-5492)\/w + u\/66?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/420 + (8 - 1270\/105).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - h**5 - h**2 - 2*h**5 - h**2 + h**2 + h**5 + 3*h**5 - 5*h**5 + (-2*h - 2*h**2 + 2*h)*(-2*h**3 - 3*h + 3*h) + 4*h**5 - 9*h**5 + 3*h**5.\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100000 + 110110101100001010?\nAnswer: 110111000010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113465933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 1 + n - 2*n + (0 + 0 + n)*(803 - 580 + 1430) + (1 + 2 - 1)*(2*n + 3 - 3) + 2*n + 2*n - 2*n to the form h*n + s and give h.\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/29386966 and -44\/5097739?\nAnswer: 499578422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.867324m to centimeters.\nAnswer: 986.7324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -1\/10*d**5 + 0*d**4 + 0*d**3 + d**2 - 2*d + 0. Is 6 a factor of y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30740 * -1270\nAnswer: -39039800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 684*t + 4 - 675*t - 1.\nAnswer: 9*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3\/(-9)*(-21)\/28*-24?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186543 and 270.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (668\/9018)\/((-2)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1641, 4475, 8505, 13731, 20153?\nAnswer: 27771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 835*q**2 + 235*q**3 - 235*q**3 + 2*q**4 + 876*q**5 - 2*q**4 wrt q?\nAnswer: 52560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x**2 - 5\/4*x**4 - 2 + 0*x**3 - 3*x. Differentiate j(g) with respect to g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 41, 1.53, -0.3, 1, 2, -2\/3?\nAnswer: 1.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 53, 124, 223, 350?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494158 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2236*w + 2407*w = -6498 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -109 (c) 4 (d) 31 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25084 - 25085. Let u = 0 - 0.1. Let s = u + 0.2. Which is the closest to s? (a) -5 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f = -206 - 1042 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -3 + -3 - -76.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 12*t - 15*t + 67*t - 12*t - 17*t - 22*t + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 75*n + 228. Calculate the least common multiple of j(-20) and 168.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30631.037 rounded to the nearest ten?\nAnswer: 30630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98028578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10527800 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 - 29*c**2 - 4*c + 17. Does 43 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 + 7*n**2 + 3*n. Let r(a) = 3*a**3 + 3*a**2 + 2*a. Let x(v) = 3*f(v) - 7*r(v). Let z(l) = l**3 + 2*l. Calculate -2*x(t) - 5*z(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**2 - 11 + 15 - 4 as x*c + l*c**2 + d and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 4*o**2 - 3*o + 1. Let l be w(3). Let f be (-3)\/(-2)*8\/30. Which is the closest to l? (a) 2\/15 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 261 - 258. Solve -3*t = -12, -r + v*t = 3*r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = 6*j. Suppose -j + 4 = 2*d. Let k = d + 8. Calculate the remainder when k is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9350 and 748.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - (-18 + 43 + -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = m. Let y be (22\/(-5))\/(m\/(-90)). Suppose -y = -7*w + 4*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0)*(-302*u - 146*u + 176*u + 1 + u - 1 + 0*u + u - 2*u + (-u + 3*u - 3*u)*(1 - 1 + 1)).\nAnswer: -273*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2344897743.99999743 - 2344897673. Let l = q + -71. What is l rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9479.145ng to micrograms.\nAnswer: 9.479145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 3662 = -12146. Solve -827*z - 5 = -y*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 19*s**4 - 15*s**4 + s**3 - 1 + 11*s**2 - 2*s - 3*s**3 - 7*s**4 in the form t + w*s**2 + o*s + r*s**4 + u*s**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + 5.5. Let j = -11 + 14. Which is the third smallest value? (a) 1 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*k = 4*w - 12, 2*k = 5*w - 6. Suppose 0*p - 5*p + 425 = w. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 801.1 + -801. What is the nearest to 18\/13 in 2\/3, u, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.027 - 15.227. Let f = -15 - n. Which is the nearest to f? (a) -1 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 780 + -742. Let m = 346 - -72. What is the greatest common factor of m and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 7*q**2 + 402 - 402.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.64 - -21.75. Let r = -10 - b. Let q = r + 0.31. What is the nearest to -3 in q, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -807, -6842, -23445, -55950, -109691, -190002, -302217, -451670?\n\"Answer: -889*x**3 + 50*x**2 + 38*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 12 = -83*z + 80*z, -33*z + 43*z - 28 = 3*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52866522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 10*c + 90. Let i be t(-8). Let s = i + 54. Solve -3*g + 9 + 0 = s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - -1. Let p(b) = 2*b**3 - 34*b**2 + 40*b - 5. Let z = 212 + -196. What is the remainder when p(z) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 16. What is o(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = d - 22, -2*d - 3 - 5 = 3*x. Suppose -5*i - u = -13, -5*i - 4 = -4*u - d. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 14940*q + 11160180.\nAnswer: 5*(q - 1494)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7526 + 7522. Put -0.07, -12, 5, u in descending order.\nAnswer: 5, -0.07, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -555, -827, -1085, -1323?\nAnswer: -1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htttttututhtttt. Give prob of picking 4 t.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13538140 divided by -20860?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2, -4, 8, 1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1645534, -3291066, -4936598, -6582130?\nAnswer: -8227662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 7.\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2615 divided by 1.\nAnswer: -2615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1626 + 3*z**2 + 1624882*z - 1625076*z - 63 with respect to z.\nAnswer: 6*z - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63346, 253637, 570794, 1014817, 1585706?\nAnswer: 2283461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1158 + 2807. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 772 = -2*v + 766, 5*v + 5*c + 5 = 0. Let q(k) be the second derivative of 1\/3*k**v + k**2 + 0 - 10*k. What is q(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -395, -18\/7, 5, -1\/3, 13, -0.5 in descending order.\nAnswer: 13, 5, -1\/3, -0.5, -18\/7, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -834, -3207, -7080, -12453, -19326?\n\"Answer: -750*y**2 - 123*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + b9?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 43 = -5*b, 5*n - 4*n = -4*b + 33. Let z = 2863 + -2855. Calculate the greatest common divisor of z and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035090733 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6819058 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -96*c + 101*c - 75, -45 = -3*c + 23*m for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1\/2 (c) -4 (d) 136 (e) 13 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/(p\/(p**(7\/2)*p*p)))\/(((p*p**(-2\/5)*p*p)\/p)\/(p*p\/(p*((p*p**7)\/p)\/p)*p*p*p)) assuming p is positive.\nAnswer: p**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -195*g - 38626. Determine b(-198).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -363? (a) 2\/3 (b) -4\/11 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**3 - 2*y - 1. Let w(x) = x**2 + 12*x + 35. Let z be w(-6). What is a(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.61 - -1.39. Let c = -14 - -8. Let d = s + c. Is -2\/7 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 29 = -50*j. Which is bigger: 201 or j?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5790.85 - 5854. What is q rounded to 0 decimal places?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1269.374 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026309 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 114. Let v = -6 + 5.94. Which is the closest to -2\/3? (a) 3 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 + 5*u + 2. Let x be r(-5). Suppose -2 + x = w. Find the second derivative of -10*s**3 - 43*s + w*s + 22*s wrt s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 23 = -i, 4*n + 470 - 594 = -5*i. Solve 0 = t + 2*b + 2, -5*b = 3*t - 20 + i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p - 3*p + 3*p)*(-p**3 - 4*p**3 + 3*p**3) - 8*p**4 + 2*p**4 + 4*p**4 in the form k + y*p**4 + a*p + b*p**2 + o*p**3 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3099267058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 13*o**2 - 8*o + 12. Let c be a(-13). Let j = c - 109. Which is greater: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -27 in increasing order.\nAnswer: -27, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 375 and -41.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199030163 - -137.\nAnswer: -199030026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 67, 41, 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -564, -4756, -16252, -38706, -75772, -131104, -208356?\n\"Answer: -609*h**3 + 2*h**2 + 65*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1272\/(-4))\/(383 - 380)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/171, -4\/7 in ascending order.\nAnswer: -2, -4\/7, -2\/171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 2843208.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 148.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, x: 3, g: 1, b: 4, y: 2, z: 3}. Give prob of picking 1 y and 2 t.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -4, -1\/290, -7.3 in ascending order.\nAnswer: -7.3, -7, -4, -1\/290, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4 - 138*i**3 + 1137*i**2 + 1272*i = 0. What is i?\nAnswer: -53, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0*m**2 - 3*m**2 + 6*m + 2*m**2 + 3 - 7. Let j be (-3 + 2\/4)*-2. Give s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, t: 1, e: 3, z: 5, q: 5}. Give prob of sequence qqzz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2 + -1)\/(-1). What is the third derivative of 5 + 16*g**3 + 4*g**2 - 7*g**3 + 15*g**b wrt g?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + p + 6. Let y be i(0). Suppose 3*u = y, -5*l - u = -2*u - 158. Let a = l - 15. Calculate the remainder when 48 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -560928?\nAnswer: -560932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46655\/36544 - -42\/571. What is the common denominator of (422\/80 + -5)*-7 and z?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = l - 4*c - 0*c, -13*c - 6*c = 76 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 341226 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p - 14. What is the least common multiple of 32 and v(-4)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 58 = -4*r + 2, 2*i = 0. Suppose 24*j = 12*j + r*j. Solve 3*w = 5*t + 17, j = -5*w - 2*t - 0 - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4063*g**5 - 3*g**4 - g**3 + 5889*g**2 - 1.\nAnswer: 243780*g**2 - 72*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9996 * -61.9\nAnswer: 618752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 39\/((-1950)\/1750) - (2 - -10)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*y - 42592 = -56512 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.812796 - -1\nAnswer: 4.812796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1003233103 (base 4) to base 15\nAnswer: -57324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*n, -9 = 4*n + 3*s + 11. Let x(v) = v**3 + 7*v**2 + 8*v + 7. What is the lowest common multiple of 2 and x(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 7*m + 4. Let z be l(4). Suppose 7*y - 4 = z*y. Let r(u) = u + 4. Let s be r(-6). Put 1, s, y in decreasing order.\nAnswer: 1, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - 8\/(80\/(-65)). Suppose k*t - 852 = 768. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 15*g**2 - 17*g + 18. Let w be x(16). Suppose 0 = q + 3*c - 294, -5 = w*c - 11. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 4\/5, 1690, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 434 and 93.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 10. Let w = t + 16. Suppose p + w*p = l + 174, 0 = 5*p + l - 290. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**3 - r**2 + 19*r. Let w(m) = -m**3 + 4*m. Let v(s) = 2*d(s) - 11*w(s). Let h(l) = 2*l**3 + 2*l**2 + 5*l. Calculate 6*h(u) + 5*v(u).\nAnswer: 7*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 27. What is the nearest to -0.1 in 8, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*((-15)\/(-20))\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -2, 0.3, 2\/3, 73.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1451 = -b + 251. Let x = -2402 + b. Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 5}. Give prob of sequence vv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1085724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1078) + sqrt(1078)*-2 + sqrt(1078)) - sqrt(1078) - sqrt(1078) - sqrt(1078))\/(sqrt(176)*2).\nAnswer: -21*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)*d*d**(8\/3))\/(((d*d**15)\/d)\/d*d**(-1\/20)\/d))**40 assuming d is positive.\nAnswer: d**(-1034\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2 + 90308*d + 1988712 = 0 for d.\nAnswer: -22, 22599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2124 and 324028?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/7 - 67\/28. Let z be (-73)\/((-10 + 731\/68)\/(6\/8)). Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/5 of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19 and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t - 98525 - 198485. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -2*q, -q + 4 = -l - 1. Let s = 133 - 128. Suppose -g - s + 19 = l. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288302 and 247116?\nAnswer: 1729812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11))**(-2\/19)\/(r**(-3\/4)\/(r*(r\/r**(-11))\/r*r*r)) assuming r is positive.\nAnswer: r**(12347\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4443 + 4716. What is the highest common divisor of 852 and i?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msy when three letters picked without replacement from {y: 2, s: 2, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*c**2 - 15*c**2 + 6*c**2 + (2*c - 3*c - c)*(0 + 0 - c) - c**2 - 2*c**2 + 4*c**2)*(-54*c - 3*c**2 + 54*c).\nAnswer: 105*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53425678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (35 + -44 - (-1 - -2))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1248 and 39\/64?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -605\/27, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a*(a*a**(-5\/11))\/a*a))*a*a*a**6*a*((a\/(a*a**(-3\/17)\/a))\/a)\/(a**(-2\/9)*a) assuming a is positive.\nAnswer: a**(16736\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (-1*(sqrt(1900) + 1 + sqrt(1900) + sqrt(1900)))**2) + -4.\nAnswer: -17105 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*n - 789 + 534*n + 394 + 395.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -25*p**3 - 2*p**2 - 3*p + 4 + 10*p + 24*p**3. Let f be w(-7). Suppose 0 = 3*c + 5*b - 3*b - 561, c - f = -5*b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163\/42 + -25\/6. Let b be 149\/7 - 4\/14. Let a = b + -127\/6. What is the smallest value in 4, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4077, -4 in decreasing order.\nAnswer: -1, -2, -4, -4077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 2*r**2. Let o(y) = -y**3 - 3*y**2 - y. Suppose 8 = j - 3*i, 0 = 3*j + j - 5*i - 18. What is j*o(h) + 3*v(h)?\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -207*q - 5409. Calculate x(-26).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -984, -20 in increasing order.\nAnswer: -984, -20, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45)\/30)\/((-6)\/(-40)). Let i = a + 20. Suppose i = 2*v - 8. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28478 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -45693.\nAnswer: 1\/15231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 328\/(-492) + 314*11\/6. Let r = 604 - h. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*1*sqrt(99) - sqrt(99)) + 2 + (sqrt(99) + -4 + -2 - (-3 + -3*sqrt(99))))**2.\nAnswer: 156*sqrt(11) + 66925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9 - 8*n + n + 2 - n**3 - 6*n**2 + 0. Let r be u(-5). Suppose 2*v = 3*i - 37, r*i = v + 6 + 26. Solve -8 = -4*k + 2*q, -5*q - i = -0*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*n - 2*n - 2 + 6.\nAnswer: -4*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1168 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22295 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*5\/14 + 1. Suppose 10 + 14 = -4*i. Let q = i + 19\/3. What is the third smallest value in f, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21124*j + 10552*j + 10561*j - 2 - 15.\nAnswer: -11*j - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/23 (b) 0.5 (c) -1 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366091 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/98)\/((-21)\/245*5)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 5, -75, 0, -6 in ascending order.\nAnswer: -75, -6, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 593521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17238 and 1092.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -2. Let w = -2 - b. Let f = w - -2. Solve -f + 0 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 3*u**2 - 15*u + 4*u**2 + 8 - 3*u**2. Let n be w(15). Put 4, -2, n in increasing order.\nAnswer: -2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/12)\/((-1)\/(-2)). Let c = 297 + -295. Put -11, c, g in descending order.\nAnswer: c, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99131126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218\/3 + -72. What is the nearest to 4 in 5, v, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*c**2 - 229*b**2*c - 35*b**2 + 403*b*c**2 - 1237*b*c + c wrt b.\nAnswer: -6*c**2 - 458*c - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 14*w**2 - 13*w + 20. Let y be c(-15). Does 21 divide (210\/125*5)\/((-1)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*g + 418*g - 18 = -3*t, 5*t - 2*g = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrqr when four letters picked without replacement from gqrrshlsssrhslssr?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.889229 to two decimal places.\nAnswer: -36.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/703, 59, -4\/7 in decreasing order.\nAnswer: 59, -2\/703, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 228. Suppose 123*c = 134*c - 55. Suppose -f = c*f - u. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2169 and -418168001.\nAnswer: -418165832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/6, 71 in descending order.\nAnswer: 71, 1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 1318*h + 203866. Calculate l(179).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - 139\/(-3). Let i = -24 + l. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -84. Suppose c*m + m = 330. Let j be (m\/4)\/(6\/(-104)). Round j to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 13 = -43 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-52 - -30) - (-8 - -16 - 58).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 180 = 3*s. Suppose -i = 3*i + s, 5*i + 37 = 4*z. List the prime factors of (-351 + z)*(-3)\/9.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -6788, -36 in decreasing order.\nAnswer: -36, -43, -6788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670167489 and 4722.\nAnswer: 2361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451636054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -1, 69996 in increasing order.\nAnswer: -1, 1, 15, 69996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 7*o**2 + 24*o + 47. What is the thousands digit of p(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 0*v**5 + 3*v**5 + (9*v**2 - 23*v**2 + 11*v**2)*(0*v**3 + 2*v**3 - 3*v**3).\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15176*a - 3. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/64 and 29\/1792?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + (13 - 1 - (28 + -14 + -5))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m)**(-1\/21) assuming m is positive.\nAnswer: m**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47\/7? (a) -2\/7 (b) -0.05 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*b + 30, 2*b - 48*p + 570 = -86*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 1\/3*m**5 + 64\/3*m + 55\/3*m**2 + 13\/3*m**4 - 65\/3*m**3 - 68\/3 = 0.\nAnswer: -17, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 4. Let g(b) = -b**3 + 4*b**2 - 2*b + 5. Let w be g(4). Calculate a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.298124g to micrograms.\nAnswer: 298124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3.5, -6, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 28\/(-16))\/((-42)\/(-24))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 57*b + 144.\nAnswer: 3*(b - 16)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 1300 = 14*o. What is the lowest common multiple of 45 and o?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 0.13, -1, -20.7?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954703603.\nAnswer: 19, 102879137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 4*r. Let h be b(5). Let a = h - -168. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c5 + -18956?\nAnswer: -18a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/16953 - -246763\/22604. Let k = -911857\/450280 - -1\/11257. Find the common denominator of b and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d**2. Let p(b) = -146*b**2 + 59*b - 2. What is p(h(n))?\nAnswer: -37376*n**4 + 944*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.05, -0.1, 15\/128?\nAnswer: 15\/128","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**6\/6 + 13*m**4\/6 + 32*m - 27. Let h(n) be the first derivative of x(n). Find the third derivative of h(a) wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220350897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -1.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23109886253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2. Let s(l) = 9778*l**2. Determine b(s(x)).\nAnswer: 764874272*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21844*o = -3164*o - 93400 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*n - 52*n + 2260. Calculate the remainder when n is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (17 + -40 - -39)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/15)\/(d**4\/d)*(d*d**(-1)*d*d*d)**(3\/26))**(-41) assuming d is positive.\nAnswer: d**(44567\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 7 + 7.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.55 - 0.35. Sort -5\/2, 0.3, l.\nAnswer: -5\/2, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198867 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, v: 9, n: 2}. What is prob of sequence bvn?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 258277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993007 is divided by 3424.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3*q - 17 = 0, 0 = -3*l - 3*q - 4 + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(1008435\/(-632))\/185?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26177.6 hours?\nAnswer: 1570656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o = 21*o + 48. Put o, -6, 1, -3 in descending order.\nAnswer: o, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 79, 205, 371, 571, 799, 1049, 1315?\n\"Answer: -t**3 + 29*t**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1041, -2037, -3033, -4029, -5025?\n\"Answer: -996*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**3 + 4*q + 1\/2*q**5 - 1\/12*q**4 + 0*q**2 + 0. What is the third derivative of j(a) wrt a?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 9*n**2 - 10*n + 17. What is the remainder when 269 is divided by x(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2806717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 11*v**2 + 11*v + 24. Let m be n(12). Let p be (8\/m)\/(4\/78). Solve p - 4 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -231*p - 6236. Determine l(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) - (-9 + 0). Suppose -5*x = 5*s - 35, 0*x + s = 3*x - 25. Let d = y - x. Solve -3*z + 1 = 5*a + 4, z + d = -2*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**20*o))\/(o*(o**3\/o)\/o)*(o**13)**(8\/11) assuming o is positive.\nAnswer: o**(291\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/245)\/(((-2499)\/49)\/357).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998*w + 10541 = -42549 + 9178 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**3 - 8*k + 8*k**2 + 0*k**2 + 1 + 8*k**3. List the prime factors of n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**3*y**3 + 5*n**3 + 16*n + y**3 with respect to y.\nAnswer: 12*n**3*y**2 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q*q*q)\/q**(-6))\/(q\/((q*q*q**(-2\/7))\/q*q)*q**(-2))*(q**(-3\/8)*(q*q\/(q\/q**(-3)))\/q)**24 assuming q is positive.\nAnswer: q**(-527\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, m: 1, z: 5, j: 1, o: 3}. What is prob of sequence kmoz?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33858002 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, l: 3, j: 1, u: 1, r: 4}. Give prob of picking 1 j, 1 r, and 2 l.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9387163 + -9387163.04099929. Let k = f - -0.041. Round k to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u**2 + u. Let k = 1563 - 1562. Give q(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from xxaiaataaiax?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2294189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164749 or 164745?\nAnswer: 164745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0*(-1)\/2. Let f(j) = 6*j + 108. Let s be f(-15). Suppose 0 = -3*a - 9, 0 = 2*h + 4*a - 4 + s. Put 4, m, h in descending order.\nAnswer: 4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-7) + (-266)\/(-1078). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - ((-2)\/35 - (-43146)\/5355). Solve -3*b + 3*q = 3, -s*q + 50 - 36 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*k = -103, 0 = 3*v + 3*k + 38 + 109. Is (834\/10)\/((-10)\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 3*c + 7 = -10*p, 21 = 3*p - 4*c. Suppose -p*l = -2*l - 1080. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*b - 6, 9*x - 7*x + 5*b + 4 = 0. Let m(q) = -q**2 + 2*q - 3. Let w(l) = l**2 - 3*l + 4. What is x*w(y) - 3*m(y)?\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/21, -7.2, 42\/19?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13551)\/(-31619) + 22\/14)\/(-1 - 74\/(-76))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0348202 and 825.6808.\nAnswer: 825.7156202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 533700 and 21348000?\nAnswer: 21348000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65653*u**2 + 4*u + 42504*u**2 - 4*u.\nAnswer: -23149*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.7 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2029 - -12b5?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34460 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*4\/180*15. What is the biggest value in 4, -4, -2\/9, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 at least as big as 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 6:20 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79373 to 3 dps.\nAnswer: -0.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**3 + 32444*x**2 + 42*x + 2204 wrt x?\nAnswer: 36*x + 64888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216488 is divided by 3128?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/42)\/(3\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19396\/32725 + 46\/77. Let l = c + 168\/425. Put l, 2\/13, 4 in increasing order.\nAnswer: 2\/13, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Let p(g) = 20*g - 44. What is p(m(d))?\nAnswer: -40*d - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + a. Let w(z) = 3*z**2 + 5*z. Let r(g) = 5*p(g) - w(g). Let j(d) = 3*d. Give r(j(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 103*u**2 - 160*u + 49. What is the first derivative of x(f) wrt f?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(8\/16). Solve -g - j = g + u, 3*g - 5*j + 8 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 2:54 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a, 4*y + 4*a = 3*a + 103. Calculate the highest common divisor of y and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*g - 8*g + 21, -5*k = -2*g + 3. Suppose -2*w = -3*w - k. Let z be w\/(-1)*(6 + 4). What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.200026. What is r rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/142716600 and 49\/21060.\nAnswer: 428149800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 898 or 904?\nAnswer: 898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97.25004 - 97.44. What is n rounded to three dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 15, h + 4*m + 22 = 3*h. Suppose h*v + 0 = 30. What is the tens digit of v\/(-9) - 195\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -13.5. Let x = 19.2 + s. Let p = 16 - x. Sort -1\/3, p, -4.\nAnswer: -4, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 2. Let g(r) = r - 9. Let b be g(19). Suppose -z = -2*w - 20, -5*z - b = -7*z - 2*w. Calculate the smallest common multiple of u(-6) and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26\/11 + -516\/209. What is the closest to 0 in 6, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -16. Let n(p) = -p**2 - 8*p + 15. Let f be n(h). Suppose -3*t - 140 = -4*q, 88 = -3*q + f*q + 2*t. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*u - 97, -t = 2*t + 4*u - 79. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322*-0.01098\nAnswer: 3.53556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhhihhhh. Give prob of picking 2 h and 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*a**2*m - 92*a**2 - 199006*a*m - 16*m + 1714216 wrt m?\nAnswer: -31*a**2 - 199006*a - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Let l(r) = -5*r**2 + 7*r. Let g(j) = j**2 + 2*j. Let x(c) = -4*g(c) + l(c). Determine v(x(b)).\nAnswer: 162*b**4 + 36*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.081 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/((207018\/672)\/53)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(125))**2 - (0 + sqrt(448)).\nAnswer: -8*sqrt(7) + 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 62.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by -110.\nAnswer: -39\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 115*s - 2755. Let i be f(24). Let r(v) be the second derivative of 0*v**4 + 0*v**3 - 3*v + 0 + 21\/20*v**i + 19\/2*v**2. Differentiate r(b) wrt b.\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a + 37*a**3 - 2*a - 36*a**3 - 5*a**2 + 0*a - 5. Let h(j) = j**3 - 3*j**2 - j - 3. Calculate 5*h(f) - 3*y(f).\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58835 and 180?\nAnswer: 2118060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 317*y**3 + 545*y**3 + 544*y**3 - 1957*y**3 - 1 + 553*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/108*-3)\/((-2)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167937928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = -0*n. Which is smaller: n or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 2 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*143\/8580*46?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0 + 0*o**6 + 0*o**3 - 1\/60*o**5 + 0*o + 0*o**4 + 11*o**2 + 1\/42*o**7. What is the third derivative of d(r) wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*g = 80, -2*w - 2*g = -5*g - 100. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 5.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1613858.\nAnswer: 2, 806929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 10*u**2 + 3*u - 22. Let m = 27 - -7. Let g be m\/(-4) + (-1 - 5)\/12. What is the remainder when p(g) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 959 and -0.4?\nAnswer: 959.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (10 - -23 - 26)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1531360, 3062717, 4594072, 6125425, 7656776, 9188125, 10719472?\nAnswer: 12250817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11488 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 6*p**2 - p + 3. Suppose 8*c = 5*c + 27. What is the least common multiple of i(-6) and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-10 + 6) - (-36 - -7 - -16)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 10*r**2 + 11*r + 16. Let k be ((-2 - -2) + -1)*11. Is l(k) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7113\/4 + -1779. Which is the nearest to 3? (a) q (b) -3 (c) 0.21 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let m be q(0). Solve m = 5*z + 4*w + 20, -4*z + 3*w = -0*w + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 - 4*g + 4. Let q(x) = x**2 - x + 1. Let i(a) = 2*q(a) - t(a). What is the remainder when i(3) is divided by 20\/(-8)*(-224)\/40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4\/(g**6\/g)*((((g\/(g\/((g**1\/g*g)\/g*g)*g))\/g)\/g*g)\/g)**(-1\/16))**(-19))**(-1\/21) assuming g is positive.\nAnswer: g**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 - 289. Let f = -39 - b. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/6 + 3*w**2 - 41*w. Let b be a(4). Solve b - 4 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1699216546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l. Let t be y(2). Let p = 21 + t. Sort p, -2, -1, 0.1 in increasing order.\nAnswer: -2, -1, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -103, -107, -119, -145, -191?\n\"Answer: -d**3 + 2*d**2 - 3*d - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/24))\/(w\/(w\/(w\/w**(-2\/3)))*w*w)*w**(10\/3)*w**7\/w)**23 assuming w is positive.\nAnswer: w**(1219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, c: 9}. Give prob of sequence dc.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*c - 18 = 0, 2398 = -k + 4*c + 2380 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 30591209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8029*x**5 + 321*x**4 - 155*x**2 - 9*x - 88.\nAnswer: -481740*x**2 + 7704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*v)*(-3 - 2 + 4) + 0 + 0 - 2*v + (-v - 3 + 3)*(0 + 1 - 3) - 41*v - 137 + 137.\nAnswer: -37*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = p + 15, 2 + 37 = 4*c - 5*p. Suppose v + 10 = c*v. Let q(r) = -2*r**2 + r**2 - r**3 - 9*r - v + 8*r. What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2833*s + 3138 = 20136 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 68*y - 535. Give b(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**5*v + 2766*a**5 - a**2 + 3*a*v - 27*a - 49*v wrt a?\nAnswer: 360*a**2*v + 165960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3313, 3318, 3325, 3334?\n\"Answer: f**2 + 2*f + 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let b(t) = -59*t + 38. Let f(l) = 20*l - 13. Let j(o) = 6*b(o) + 17*f(o). Let q(v) = -7*h(v) - j(v). Let d(m) = -m**2. Determine q(d(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -519, -2059, -4627, -8223, -12847?\n\"Answer: -514*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-396)*(-9)\/(-3)*(-16)\/(-60)*33.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**4 + 229*g**2 - g + 997 wrt g?\nAnswer: -72*g**2 + 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o - 4 + 5*o + 1)*(-5*o**2 + 4*o**2 + 2*o**2).\nAnswer: -2*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 3650?\nAnswer: 43800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + ((4 - -14) + -14 - 20) + 2 + -9?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:49 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-219028)\/(-66088) - (-4)\/(-2). Let x = g + 3\/751. What is the common denominator of x and (-1)\/5 - (-791)\/280?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 - 41 = 4*p. Let m = -15 + 21. Suppose m*h - 576 = 3*h. What is the highest common factor of h and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) -3871 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h. Let j(y) = 12*y + 43. Let p(t) = -13*t - 50. Let a(g) = 7*j(g) + 6*p(g). Give -5*a(q) + 4*n(q).\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 11*l**2 + 10*l - 1. What are the prime factors of c(-6)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -k - 630, 4*m - 2*m + k - 259 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233606 times 34?\nAnswer: 7942604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.34 + -2.16. Let b = -3.49999 - a. What is b rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -25.6. Let q = 24.9999938 + p. Round q to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/15 + 4556*m**4 - 136698*m**3\/5 + 123032*m**2\/3 - 91136*m\/5 = 0. Calculate m.\nAnswer: -34176, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15035 - -28087. Suppose -p = -32*u + 6*u. What are the prime factors of u?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*j + 30 = 3*j, 4*j = -l + 39. Let i(r) = -37*r + 66*r - 23*r - l*r. Let o(x) = 6*x. Let m(g) = g. Let n(a) = 4*m(a) - o(a). Calculate n(i(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184519?\nAnswer: 37, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 4 (c) 0.1 (d) -129 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:27 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 25*d + 2*d**3 - 99*d + 37*d + 42*d - 887*d**2 to m*d + t*d**2 + n + l*d**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 37*b. Let m(o) = -153*o + 69*o + 83*o. What is t(m(g))?\nAnswer: -g**2 - 37*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 316, 647, 978, 1309?\n\"Answer: 331*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 5*l**2 - 4*l - 4. Let i be c(-4). Suppose i + 2 = 3*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19186 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3631 + -3624. Solve 3*x = 5*g - 10 - y, -5*x - 25 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1126 smaller than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:20 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 3048, 10707, 25620, 50205?\nAnswer: 86880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14 + 10*x**2 + 15*x - 3*x + x**3 - 24*x. Let p be a(-11). Let i(q) = q + 3. Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:56 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(-37)*8\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/560 and -1\/8.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -314*q + 186. What is the thousands digit of n(-31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2176146, 2175131, 2174128, 2173143, 2172182, 2171251, 2170356, 2169503?\nAnswer: 2168698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 6827?\nAnswer: -4\/6827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m**2 + m + 94*m**2 - 12*m**2 + 6*m**3 - 8*m**2 - 61*m**3.\nAnswer: -55*m**3 + 37*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170808 is divided by 26017.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 325 = -2*j - j, a - 219 = 2*j. Let g = 767\/7 + j. Let k = -5.7 + 6. Put -0.5, k, g in decreasing order.\nAnswer: k, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 1. Let r(m) = -5 + 3 + m - m + 335*m**2 - 337*m**2. Suppose 1 = -v - 2. Calculate v*r(s) - 8*w(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*i**3 - d**2*i**2*u*z + d**2*i**2*z + d**2*i**2 + 2*d*i**3*u - 21*d*i**3*z + i**2*u wrt i?\nAnswer: 6*d**2 + 12*d*u - 126*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 3*g**2 + 2*g + 2. What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:47 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 301*w**3 + 1389*w**2\/2 + 2361*w. Differentiate b(v) wrt v.\nAnswer: 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -45. Suppose 0 = -3*w + 33 + h. Let z = w - 14. Calculate the remainder when 42 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*m - 433*m - 2 + 238*m - 80*m + 3.\nAnswer: -738*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 13. Let h be l(4). Calculate the remainder when (0 + -2)*(-35)\/2 is divided by (-87)\/h + 51\/85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/130 - 4\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40399 is divided by 2472?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236614 is divided by 18192.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 928501693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4*-4*(-7)\/(-196))\/((-55)\/35)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/38*(1 - 11\/(-2)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/577755 and 16\/185.\nAnswer: 577755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -437, -433, -417, -383, -325, -237, -113?\n\"Answer: h**3 - 3*h - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a factor of 21370041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 2*g**2 + g**2 - g + g**3 - 2. Let l be z(-3). Let a = -4 - l. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(180) + sqrt(180) + sqrt(180))**2 - ((sqrt(180) + -3)*-6)**2.\nAnswer: -5159 + 1116*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in 12, 0.2, 5, -0.1, 3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*d + 108602638 = -22270432. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = m - 2*m + 52, 6 = -3*h. Suppose 3*v - 15 = -3*i, -4*v = -i + 2 + 18. What is the remainder when m is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + 0 - -5. Let c = 3 - 4. Sort g, c, -4 in ascending order.\nAnswer: -4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, n: 6, j: 9}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*x**3 - 6*r*x - 10946*r - 902*x + 11 with respect to x.\nAnswer: -6*r*x**2 - 6*r - 902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28456 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*k - 3*o, -14 = -5*k + k + 2*o. Suppose 0*g = 3*g + k*d - 60, -3*d = -3*g + 39. Solve -n = 3*n - g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -4, 0.1, 0.103, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/12*-6 - 120\/(-4). Let a(s) = 13*s + 80. What is the hundreds digit of a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/5, -504, -5 in increasing order.\nAnswer: -504, -5, -3\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 13 = 2. Which is the third biggest value? (a) -0.17 (b) 2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/39)\/b)**(-42)*(b**(-31))**(-1\/6) assuming b is positive.\nAnswer: b**(3847\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -16)\/((-45)\/42 - -1). Let b = r - -233. Suppose -3*v + 5*y + 8 = 0, -4*v = -0*y + 4*y. Sort -2, b, 5, v.\nAnswer: b, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 969 + -7769\/8. Let z = -67\/24 - m. Do -0.1 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62237681323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 3*v + 1. Let o = 4 - 7. Let m be (0 - o)\/((-9)\/6). What is the units digit of k(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38565 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: What is the nearest to 0 in -0.5, -1\/36, 56, 8, -1, 0.27?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/10 and 59\/4044676?\nAnswer: 20223380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -139\/8356 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54870 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 199*a - 13663. Give p(61).\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*w + 1155, 5*j = -5*w + w + 1445. Suppose -283*r + j*r = -2. Which is the closest to r? (a) 1 (b) -0.35 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 + 1456*c**3 - 116216*c**2 + 2318576*c - 13585572 = 0?\nAnswer: 13, 77, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 28 = -0*t + 4*u, 2 = 2*t + u. Factor -8 - 322*h**2 + 20*h + 4*h**t - 315*h**2 + 621*h**2.\nAnswer: 4*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((((t\/((t**(-3\/7)*t)\/t))\/t)\/t)\/t))**(-10) assuming t is positive.\nAnswer: t**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.07239 to 1 dp.\nAnswer: -102.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*w + 2*o + 9, 5*o = 10. Let q = 1 - -1. Suppose 3*p = -6, q*h - p - 53 = -w. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 h when four letters picked without replacement from {v: 7, h: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (993\/1986)\/(2\/68).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 42, 63, 102, 165, 258?\n\"Answer: l**3 + 2*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133011103301111 + 2?\nAnswer: 133011103301113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(49\/126)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -73, -1, -34, 6 in descending order.\nAnswer: 6, 1, -1, -4, -34, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2712*j**2 - 9266*j**2 + 3019*j**2 - 1849*j**2.\nAnswer: -10808*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42444 = 188*d + 991*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 123a4 + 3?\nAnswer: 123a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -662438 greater than -662437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556847 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -98*z**3 - 10*z**2 - z + 3. Is p(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/6)\/l)\/l**(-15\/2))\/((l**(-25)*l)\/(l\/(l*l**(-1\/10)))) assuming l is positive.\nAnswer: l**(913\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o = -26*o - 1155. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6276.1 + 6573. Round p to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25466\/(-21)*10011\/(-2) + -3. What is x rounded to the nearest 100000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2992.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 - (2 - 24\/(-1)). Let w = -22 - o. What is the greatest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3*3*15. Suppose -q = 3*v - 6*v. Find the second derivative of -11*m + 3*m**5 + 6*m + m**v wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12800\/9600*(-138)\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*d - 25. Suppose 0 = 4*k - d - 23. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22137 divided by 11015.\nAnswer: -22137\/11015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -36, -122, -264, -474?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -27*n**3 - 84*n**2 + 110*n + 173. Let y(w) = -5*w**3 - 17*w**2 + 22*w + 35. Let r(d) = 2*a(d) - 11*y(d). Give r(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:16 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4 and 13424672.\nAnswer: 13424673.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/4)\/((-2)\/6). Let s(r) = -8*r + 1. Is s(d) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 - 214*g**3 - 12281*g**2 + 2 wrt g.\nAnswer: 24*g - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.116 or -1258?\nAnswer: -1258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11120662 (base 8) to base 12\nAnswer: 979356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768826669?\nAnswer: 13, 59140513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = 2, -4*b - 3*s + 86729 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12383*l = 12355*l + 1988. Is 114 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2\/17*c**2 + 11552\/17 + 304\/17*c = 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 17*o = -131*o + 84896190. Round o to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2296 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 490 - -4?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 9*x + 1. Let y be i(9). Let m be y\/1*(-6)\/(-18). Which is the second biggest value? (a) m (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 160*h - 970. What are the prime factors of o(60)?\nAnswer: 2, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by -29665.\nAnswer: 47\/29665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.441 take away -0.05810963?\nAnswer: -40.38289037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 9:38 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1412 (b) 1543 (c) 5 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 8287\nAnswer: 8302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-136)\/(-52))\/((-14)\/28))\/((-18)\/117)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**2 - 19 - 1\/4*d**4 - 3*d - d**3. Determine j(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 7*z - 16. Suppose -z*y + 4 = -48. Let n(w) = 8*w + 4. Let m(p) be the first derivative of 17*p**2\/2 + 9*p + 21. Give y*n(d) - 6*m(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001103161452 rounded to 7 dps?\nAnswer: 0.0001103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2417 + 2421.999. What is c rounded to 1 dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35910 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, -2, -16531?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126360 and 12?\nAnswer: 126360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -128*g + 279 + 55 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8*m*m**(-18)*m)\/(m*m**(-5\/4)*m\/(m**(-1\/2)*m*m)) assuming m is positive.\nAnswer: m**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4330004 (base 5) in base 6?\nAnswer: -1325242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/4, -4, 20, 6.\nAnswer: -4, -1\/4, -0.2, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1669 by 143372.\nAnswer: -1669\/143372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2676543.\nAnswer: -5\/2676543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156))\/sqrt(6) + sqrt(104)\/sqrt(4)*1)\/((sqrt(80)\/sqrt(4)*5)\/sqrt(10)) + -4.\nAnswer: -4 + 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*h. Suppose -5 = -5*n - h*v, -n + 24 = -0*n - 4*v. Is 11 a factor of 50\/16*2*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10010321 and 456?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 33*r + 90. Let l be q(-3). Let z be ((-18)\/8 + l)\/(6\/(-32)). Let b be 40\/7 - 6\/(-21). What is the highest common divisor of z and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - 0.34. Let y = -17.74 - -756.74. Let x = y + -739.2. Which is the second smallest value? (a) 8 (b) f (c) x (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:41 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -3 (c) 6 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 6 = 2*p - 17*d, -4*p = -5*d - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198271 is divided by 717.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 158 = 5*p, -3*c + 8 = c. Suppose -412 = -5*k - p. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(50)\/(sqrt(30)\/sqrt(3))) - (-6*(sqrt(567) + 0 + sqrt(567)) - sqrt(567))**2.\nAnswer: -95823 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6929 - 13856 - r + 6927.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 - 2)*(10 - 3 + 3) + (4 - 3 + 1)*(16 + 13 - 2))*(5*n**2 + 3*n**4 - 5*n**2) as b*n**3 + z + k*n**2 + u*n**4 + h*n and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952395.\nAnswer: 3, 5, 63493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 14. Let a be f(-22). Let q(w) = -w - 7. Let n(d) = 1. Let v(c) = -4*n(c) + q(c). Let o be v(a). Are o and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 != -805\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmwxmwwmmhmq. Give prob of sequence wmw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7896 - 7897. Which is the nearest to d? (a) -24 (b) 1.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10473 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3 + 1. Let b(o) = o - 1. Let l be b(6). Suppose -l*k - 2*z + 36 = -8, 0 = -k - 4*z - 2. What is the greatest common factor of s and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1d8?\nAnswer: 1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**4 - 155*b**3 - 225*b**2.\nAnswer: 5*b**2*(b - 9)*(4*b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104170867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2 + 67*o + 252 = 0 for o.\nAnswer: -63, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 9 = -b, -3*v - 2*b + 6 = 0. Let p(f) = -f**3 + 6*f**2 - 5*f - 2. Let j be p(v). Suppose -2*q + 14 = -j. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 3*v - 2*v)*(-v + 0*v + 0*v) + (2 - 2 - v)*(4*v - 3*v + 2*v) in the form b*v**2 + c*v + d and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1. Let l(n) = 14*n**2 - 2*n + 8. Let s(m) = l(m) - 4*x(m). Suppose 0 = -3*u - 3 + 9. What is the units digit of s(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 33?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6\/13, 179.55888 in descending order.\nAnswer: 179.55888, 6\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3730*h - 16588 + 836*h + 16588 to u*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 908 - 771. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*82*(-166)\/(-30627).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 - k - 3. Let t be l(2). Let n be t\/(1\/(-2) + (-4)\/(-2)). Solve 0 = -3*d - f + 14 - 3, -5*f + n = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 - 12*h - 13. Let g(b) = -3*b**2 - 6*b - 6. Let o(y) = 5*g(y) - 2*p(y). Let j be (8\/6)\/(5\/(-15)). What is the units digit of o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2. Let x(h) be the first derivative of h**2 - 1. Determine x(n(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2652 + -2654. Put -5, -9, f in increasing order.\nAnswer: -9, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 103*j**2. Let f(u) = 13*u. Give f(l(y)).\nAnswer: 1339*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 13*j - 1208. List the prime factors of j.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 376, 567, 774, 1003, 1260, 1551, 1882?\nAnswer: 2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2288 + 794. Let t = -138 + q. Calculate the remainder when t is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by -41.\nAnswer: -223\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 26*z + 25. Let n be i(-1). Suppose 5 = 2*t - 1. Solve n = -t*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15365 - 15381. Let u = 0.1 - 0.2. Does i = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, -87, -1\/3 in increasing order.\nAnswer: -87, -1\/3, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7575714?\nAnswer: 2, 3, 53, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24171347 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/(-25) + (-2)\/10. Suppose -s = -0*s - 3*w, -c*w = 3*s - 13. Suppose s*l - 69 = 21. What is the highest common divisor of 12 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21055.84049 - -21056. Let u = p - 0.16. What is u rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -78*a - 5157. Let r be b(-66). Suppose -w - w - 24 = 0. Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60042 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50100.\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.07958 to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.94*14\nAnswer: 13.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1350357 by 157.\nAnswer: 8601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 8*m**2 + 20*m + 1. Let p be v(-10). Let j(r) be the first derivative of 3*r - p + 1\/3*r**3 + 3*r**2. Calculate j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 110901317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {l: 1, a: 2, h: 1, e: 2, w: 2, c: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 2735062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-314)\/(-785))\/(-4*(-2)\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**9\/126 + p**5\/30 - 359*p**3\/6 + 19*p**2 + 31. What is the third derivative of y(d) wrt d?\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3373 + 211432?\nAnswer: 215025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 29538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 386 - 381. Solve c - v*c = 0, -12 = 3*x - c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*(i\/(i\/(i**(3\/2)*i)))\/i)\/(i\/(i**(-1)\/i))**(-16)*(i\/(i**1\/i))**(-4)\/(i**(-5)*i*i\/(i**(-2)*i)*i) assuming i is positive.\nAnswer: i**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 107*v**2 + 46*v - 396. What is the smallest common multiple of 296 and a(-54)?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -21. Suppose -20 = -b*z + 4*d + 34, -d = 2*z - 29. Suppose -z*v - 1650000 = -16*v. Round v to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 16 = -2*t. Suppose -3*k + 42 = -2*m, 0 = -0*k - k - 4. Calculate the remainder when 11 is divided by t*(m\/6)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byy when three letters picked without replacement from fybfyyyfyfffffb?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -23 in descending order.\nAnswer: 2, 0.5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -33, -42, -47, -42, -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 - 12 = 0. Suppose -5*h + 4 = -p, 9*h - 8*h + 5*p + 20 = 0. Sort -1, h, d in increasing order.\nAnswer: -1, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.001 - 30. Let c = 1.501 - b. Which is greater: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/5 (c) 0 (d) 201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*f - 29*f**2 + 26*f**2 + 7*f**2.\nAnswer: 4*f**2 + 434*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.15 (b) -27 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:14 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 199.837468 and 1374?\nAnswer: 1174.162532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40, -76, -110, -142, -172, -200, -226?\n\"Answer: f**2 - 39*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 = -10*q + 8*q, 0 = 3*v - 4*q + 8. Solve -m = v, -t + 1 = -2*m - 0*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*j*s*z**2 + 23*j*s - 30*j*z**2 - 3*j*z + 9*s*z - z wrt z.\nAnswer: -50*j*s - 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, 4082, 4 in descending order.\nAnswer: 4082, 6, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -388.\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170465 by -4.\nAnswer: -170465\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12549660 rounded to the nearest one hundred thousand?\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605996.\nAnswer: 2, 151499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*((-6)\/4)\/(-3). Let l = 358\/5 + -1084\/15. Let y = -0.28 + -0.22. What is the closest to l in 2, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/20 + 6)\/(7\/(-84)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -786 at least -787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5700 - -9715. What are the prime factors of y?\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let o(r) = -10848*r. Determine s(o(f)).\nAnswer: -21696*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 2 in ascending order.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*b + 20 = 0, n + 2*b = -4*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - 56\/(-21). Suppose 2*z + 20 = j*q - 10, -12 = -q + 4*z. Let r = q + 1. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*x**3*y + 5796*x**2*y**2 - 1039*x*y**2 + 27*x*y wrt x.\nAnswer: -402*x*y + 11592*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81955 is divided by 219?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39.3906 * 532\nAnswer: -20955.7992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34730\/(-80) + 1\/8. Find the common denominator of (-3)\/10*(5 - l\/(-54)) and -17\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 1.5 (c) 1\/5 (d) 39 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111496 and 253400?\nAnswer: 2787400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 586429699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) 54 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 12. Let z(y) be the second derivative of y**3\/3 + 35*y**2\/2 + 8*y. Let u(m) = -8*b(m) - 3*z(m). Is u(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y\/y**(-19))\/y))*y\/((y*y\/(y**(-20)*y))\/y)*(y**(3\/8)\/y*y)**49)**(2\/13) assuming y is positive.\nAnswer: y**(147\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*n - 536*n - 531*n - 413*n.\nAnswer: -1346*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/241, 0.16, 2 in ascending order.\nAnswer: -2\/241, 0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 + 2*u. Let y(d) be the third derivative of -d**5\/10 - d**4\/12 - 4*d**2. Let m be 14\/(-3) + 12\/18. Let z(k) = m*p(k) - 5*y(k). Factor z(j).\nAnswer: 2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 239, 545, 975, 1529, 2207?\nAnswer: 3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/12 - k**4\/24 + k**3\/6 - 11*k**2. What is y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 155*o**2 + 5*o - 387. Let a(z) = -78*z**2 - 2*z + 192. Let f(r) = 5*a(r) + 2*h(r). What is the first derivative of f(k) wrt k?\nAnswer: -160*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -533591550 to the nearest 100000.\nAnswer: -533600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -310, -306, -300, -292?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 888841\/280 - 3174. What is the common denominator of r and 17\/35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21330231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209658 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(91) + sqrt(91))\/sqrt(7) - (-3 + sqrt(13) + -1) - ((-4 + (sqrt(13) - sqrt(117)) - sqrt(52)\/sqrt(64)) + 2)) + -2)**2.\nAnswer: 42*sqrt(13) + 5989\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from cbnncwcccwcbcwbnnwc.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119682, -119619, -119514, -119367, -119178?\n\"Answer: 21*s**2 - 119703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**3 - 4*j**2 - 5*j - 7. Let n(c) be the second derivative of c**5\/10 - c**4\/6 - c**3\/2 - 2*c**2 + 20*c. Calculate 7*n(o) - 4*r(o).\nAnswer: -2*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341506 is divided by 18968?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 4. Let x be (3 + -1)\/(l - 1). Let m be x + (-10)\/(-2) + 0. Solve 0 = m*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:08 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and -41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 1064 = 80*r + 430 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*38\/8)\/((-23)\/(-46)). Let f(q) = 3*q**3 - 2*q**2 + 4*q + 1. Let j be f(3). Let s = j + m. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 7. Let v be c(-7). Let w = 9 - v. Suppose 0 = 4*a - 4*j - 28, -2*j + j - 4 = 0. Solve -t + 10 = -i, -t = -a*t - w*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.69 - 5.89. What is the closest to 20 in 2\/9, 5, d, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -77*f + 75*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 - i + 2. Let c(j) = 8*j**2 - 2*j + 3. Let z(q) = -3*c(q) + 5*l(q). Let v(h) = 7*h**2 + 5 + 2 + 3*h - 1. Give -v(a) + 5*z(a).\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31667, 63825, 95979, 128129?\nAnswer: 160275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 4, -2, 276862\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m**2 + 4*m + 3. Let d be y(-2). Suppose -d = -2*b + 3. Suppose 4*c = -2*f + 296, 718 = b*f + 2*c - 3*c. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 14) to base 4\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 48*k**2 - 170*k - 59. What is the hundreds digit of i(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -15*m + 4*m. Is 15 a factor of 1\/(m\/25) + 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.120959799522 - 105.\nAnswer: -105.120959799522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1488)\/18)\/(2 - 15\/9). Let f be (2 - u)\/((-8)\/64). Let z = f + 3391. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/33 (b) 43876 (c) 2\/3 (d) -5 (e) 0.3 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + a = -0*a + 7, -53*b - 997*a + 992*a - 255 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-34) - (-1035)\/1530) + -1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23981*n - 580*n**2 + 23983*n - 27*n**2 + (-2*n**2 + 0*n**2 + 3*n**2)*(1 - 5 + 2) + 2*n - n**2 - 2*n as i*n + z + l*n**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:43 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -180070.82 times -0.2\nAnswer: 36014.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + 360 + -1 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*o = 30*o - 897 - 379 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -654164251*g**2 + 858630354?\nAnswer: -1308328502*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 593*r**3 + 3*r**2 - 27*r + 52. What is the remainder when v(2) is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*f + 170, -7*f - 40 = -2*k - 3*f. Let x be ((-45)\/k)\/(6\/(-8)). Solve 2*w + 3 = -1, -x*n = 3*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12*u**2. Let o(w) = 19 + w - 19 + w. Determine o(b(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28414897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 4, u: 3, b: 3}. What is prob of picking 2 u and 1 b?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8960 and 305480?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 5*j - 1. Give f(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j + 4*f - 40 = 0, -5*f = j - 29. Let y(k) be the first derivative of 1 + 5\/2*k**j + 1\/2*k**2 - 1\/3*k**3 - k. Determine y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1958175 and 3394170.\nAnswer: 50912550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by -76.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3523, 3516, 3497, 3460, 3399, 3308, 3181?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5780)\/(-25))\/(-1*((-8)\/580)\/1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z - 4. Let n be k(-3). Solve -n*y + 8 = -3*r, 1 = -3*r + y - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 21, 46, 79, 120, 169, 226?\n\"Answer: 4*q**2 + 5*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 12350?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a. Let q(s) be the third derivative of s**6\/120 - 7*s**5\/60 + 7*s**3\/6 + s**2. Let h be q(7). Let w(n) = -2*n + 11 - h - 4. Determine w(g(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 7. Let s(d) = 3*d + 12*d - 22*d - 4*d + 0*d + 11. What is 8*g(y) + 5*s(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3101*p + 96 = -3105*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -460, -458, -456?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 + 4*w**3\/3 + 3*w**2\/2 - 4*w + 9811. Let a(q) = -3*q + 1. Let p be a(-1). Calculate c(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**5 - 220*u**4 - 985*u**3 + 6070*u**2 + 6840*u = 0?\nAnswer: -38, -9, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -68488172.047 + -8\nAnswer: -68488180.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 12. Let l(f) = 9*f + 96. Let q(k) = -4*l(k) + 33*r(k). Let i(d) = -d + 4. Give -11*i(w) + 4*q(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-8 - -3))\/((-2)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38487.\nAnswer: 3, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g = 18. What is the common denominator of 11\/49 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(297\/(-144))*3*44. Suppose -c*s**3 - 224 + 1072*s**2 - 3*s**4 - 416*s + 181*s**4 - 3805*s**5 + 3791*s**5 = 0. Calculate s.\nAnswer: -2\/7, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d + 121. Let m be a(12). Solve h - 5 = -2*p + 5, 5*p = -h + m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/(-117)*(153\/34 - 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**7)\/j**(-7))**(2\/111))**40 assuming j is positive.\nAnswer: j**(400\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*((-a + 2*a - 3*a)*(0 - 2 + 3) - 7944 - 4985*a + 7944).\nAnswer: -9974*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s + 3. Let t(b) = 2*b**2 + 1. Let n be t(-1). Let x be l(n). Solve -p + x*p - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35626322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*w - 5 - 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in 0.5, 2, 1.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1768\/220 - 8)*10\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 2*c - 1. Let x be g(2). Let v be -2 + x + (9 - 2). What is the second derivative of v*f**2 - 5*f - 6*f - 4*f - 3*f wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 19*j + 7820. Let f = j - -344. Solve -f*p - p = m + 13, 9 = 3*p - 5*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 2*i**3 - 2 - 20*i - 54*i**2 + 3*i**4 + i + 16*i to s*i**2 + o + h*i + r*i**3 + f*i**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -38332 (base 12) to base 11\nAnswer: -52528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjnakkakannn. Give prob of picking 1 k and 1 a.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*w + 15, w - 12 = y - 3*w. Suppose y = -4*m + m - 5*k - 41, -5*k = -2*m + 6. Let z = m + 57. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -96. What are the prime factors of 1490\/6 + (-3)\/(-9)*v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -131 + 3 + -1 + -3. Is ((-3)\/3)\/(4\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = 2*f - 112, 3*n - 228 = -4*f. Suppose 0 = -9*w + 5*w + f. Suppose 11*t = w*t - 32. Solve -t*h = -3*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -174. Let a be -19 + 16 - (1 + -14 + o). Solve 25 - a = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -978*q - 823*q + 241*q - 807*q + 545*q.\nAnswer: -1822*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.354 + 0.454. Let k = 935 + -8405\/9. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-702) + (-7488)\/(-676).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 - 2*m - 7. Let g be j(-5). Let w = 1 + g. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzd. What is prob of sequence zzh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -17*g**3 + 581*g**2 - 13*g + 9802. Let w(v) = 9*v**3 - 291*v**2 + 7*v - 4901. Let b(f) = 7*o(f) + 13*w(f). What is the derivative of b(u) wrt u?\nAnswer: -6*u**2 + 568*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000489 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k + 14. Let s be l(6). Let o be (7 + 3)\/(s + 3). Let h = o + 7. Sort -1, 4, h.\nAnswer: h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8563 + 23672. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 - 3)*(1 - 1 - 4) - 3 + 4 + 0)*(-2*c + 2 - 2)*(-1 - 2 + 1) as u + i*c and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 4*z**3 + 9*z**4 - 9*z + 9*z = 0. Calculate z.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1484740759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -257*t - 37. Let u(s) = 64*s + 9. Let i(k) = -2*c(k) - 9*u(k). Differentiate i(w) with respect to w.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132300 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1524 + 12191\/8. What is the closest to 2\/3 in -3, -1\/23, -0.4, v?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 974, 973, 972, 971, 970, 969?\n\"Answer: -u + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589810170 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eekjejejew. What is prob of picking 2 e and 1 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 57175*d**3 + 342870*d**2.\nAnswer: 5*d**2*(d - 11429)*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 270, -0.5, 0.3?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**5*q\/q**(2\/13)*q)\/(q*(q*q\/(((q*q**(1\/2))\/q)\/q))\/q*q*q)**(-46))**(-2\/155) assuming q is positive.\nAnswer: q**(-5586\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 6*u + 2 = -1. Factor 0*s - s**u + 0 + 1\/2*s**2 + 1\/2*s**4.\nAnswer: s**2*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 8968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -25, -2*f - 1255 = 3*r. Let z = f + 1006. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35602 and 7032.5892.\nAnswer: -28569.4108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.3, 4, 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -870354*o**2*t - 106*o*t - 44*o - 3 wrt o.\nAnswer: -1740708*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -4) + 2 + 1. Suppose p*i - i - 369 = -w, i - 5*w = 212. Calculate the remainder when i is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19318 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -1.2. Let i = 0 + l. Let d = 14 + -15. Is d greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, i: 4, m: 1}. Give prob of sequence im.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - 5*w + 4. Let b be j(0). Suppose 6*u + 2552 = 3*c + b*u, -c = -4*u - 844. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15434720.\nAnswer: 2, 5, 7, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 17 in increasing order.\nAnswer: -6, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 3, -2 in decreasing order.\nAnswer: 3, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 + 5*j + 10. Let t be g(-4). Suppose -o + t = o. Solve 4*k - 5*m = o - 19, -24 = -4*k - 5*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gog when three letters picked without replacement from {o: 7, g: 2, c: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*h - 34446 = 0, -3*x = 42*h - 39*h - 51711. List the prime factors of x.\nAnswer: 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3416)\/(-12))\/(2\/6). Calculate the common denominator of 3\/16 and (-4)\/18 - (g\/(-36) - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -179?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(3 + sqrt(720) + 4 - (2 + -2*sqrt(720))))**2.\nAnswer: 9000*sqrt(5) + 162625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3172.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -51, -65, -75, -87, -107, -141?\n\"Answer: -o**3 + 11*o**2 - 50*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 0.1, -8, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 13*z - 9 + z + 155 + 12*z.\nAnswer: -2*z + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1240, 2085, 2930, 3775?\n\"Answer: 845*k + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**5\/2 - 733*a**4\/2 - 139433*a**3\/2 - 266335*a**2\/2 + 893000*a - 689750 = 0?\nAnswer: -155, -5, 1, 2, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19088 - -19087.8. Is 6577 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 4, t: 2, p: 7}. Give prob of picking 3 p and 1 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 - -2.84. What is the biggest value in 0.5, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.092398 and 4.48.\nAnswer: -0.41394304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w = -33*w - 20, -8*u = w - 5*w - 338 + 122 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 7*f**2 + 0*f**3 + 1\/70*f**7 + 1\/25*f**6 + 0*f**4 + 1\/560*f**8 + 0*f + 1\/25*f**5 + 0. Factor s(k).\nAnswer: 3*k**2*(k + 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*4\/8)\/(4\/70). Solve -d + 3 + 2 = 0, -5*i = 5*d - b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from wnvnwvwwnvynnwnwn?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*p + 5, p - 65*v + 66*v = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v**3 - 3*v - 15. Let n = -4 - -7. Let g(a) = -84*a**3 - 14*a - 76. Let m(o) = n*g(o) - 14*k(o). Differentiate m(q) wrt q.\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1507*p = -1515*p + 2976. Let a be (p\/36 + -10)*(-6)\/(-4). Factor -1\/2*q + 0*q**2 + a*q**3 + 0.\nAnswer: q*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4 + w + 4*w + 2*w**2 - 4*w**2. Let z(f) = -f**2 - 4*f + 5. Let q be z(-4). Suppose -q*h = -2 - 23. What is j(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6427 (base 11) in base 2?\nAnswer: -10000100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -7 (c) -3\/1082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -457 smaller than -261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pppg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12*j + 40 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7162039 millilitres?\nAnswer: 0.0007162039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 29*w = -2120. Let s be ((-9)\/8*w)\/(27\/(-3096)). Round s to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*w + 305*w + 142*w.\nAnswer: 613*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182876931 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*4*(-3)\/6. Suppose 5*u - 7 + b = 0. Suppose -i + 6 = -r - u, -i = -3*r - 1. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 6. Let m be f\/5*(0 - 5). Let d = -5 + 4. What is the second biggest value in m, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 4, -2, -13 in descending order.\nAnswer: 4, -2\/9, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -249*l + 3. What is n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 18\/(5 + -2). Suppose -n*k + 60 = -51. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 3*m = 0, 12992*j = 12987*j - 4*m - 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.01559, 0.1, 1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-15)*(-10)\/36. Let a = 13\/90 + p. What is the third smallest value in -2\/7, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 16 = -2*g. Let f = g - -1. Suppose -f*n - 1 = -3*r, 12 = -3*n + 6*n. Solve y + 2*a = -0*y - r, 0 = 2*y + 2*a + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -13 + 21*w + 0*w**2 + 0*w**3 + 0*w**4 - 2\/5*w**5. Find the first derivative of v(g) wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8498\/9 or 944?\nAnswer: 8498\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 113723562 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 21*r - 19*r. Solve -3*j - r = -q + j, 0 = -4*q + 4*j + 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 600*m + 4. Let n be v(1). Let i = n + -425. What are the prime factors of i?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 16 in ascending order.\nAnswer: 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93 + 93 + 60*k**2 + (2*k + 2*k - 2*k)*(-k - k + 5*k + (2*k + 4*k - 4*k)*(2 - 4 + 3)).\nAnswer: 70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 19 = -o, -3*u = 2*o - 13 + 19. Let t be (1\/2)\/(2\/12). Let w = t + -5. Sort u, 2, w in descending order.\nAnswer: 2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*(-20)\/(-6). Let v be (40 - -1) + j + -6. Suppose -v = -4*z - 0*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or -72?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 + 2*k - 8. Let x = 18 - 7. Suppose -17 - x = -4*i. Calculate the least common multiple of u(i) and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (2 + -2 - 0). Let g = 2 - -4. Let r = -31\/5 + g. Which is the smallest value? (a) r (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3713732 or -3713735?\nAnswer: -3713735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - 2\/(-3). Let x = 532.13 + -528. Let p = 0.13 - x. Which is the closest to 1? (a) p (b) j (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(-2)\/8*-6. Calculate the common denominator of 73\/18 and (f\/14 + 1)*45.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1 - 4 + 2 + 2 - k. Give r(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 87 in decreasing order.\nAnswer: 87, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/651120 and -151\/5208960.\nAnswer: 5208960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4010 - 12502?\nAnswer: -4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*q**3\/6 + 11*q**2\/2 + 74*q\/3 + 16 = 0. Calculate q.\nAnswer: -24\/19, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -970*f + 1927*f = 988*f - 1054 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 6*b - 4. Let y be o(-2). Suppose 2*x + 4 = y*s + 2, -30 = -5*s - 3*x. Factor 3*z + z**s + 0*z - 4*z.\nAnswer: z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/4 + 1\/(-4). Let g = 7 + z. Let 0*s**g + 1\/3*s**4 - 2\/3*s**2 + 1\/3 + 0*s = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-12))\/((-20)\/(-16)*4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.967 + 61. Let i = n + -0.253. Sort i, 1\/4, -0.2, 0 in descending order.\nAnswer: 1\/4, 0, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002006 rounded to 6 decimal places?\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 411667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**15 assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 2*i - 10. Let x be d(-5). Suppose -m + 45 + 61 = -3*n, -m = x*n + 166. Is (-13277)\/n*2*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*h = 12*h. Let i(x) be the first derivative of 14\/3*x**3 + 0*x**2 + 11 + h*x + 2*x**5 + 0*x**4. What is the third derivative of i(f) wrt f?\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8*x. Solve x = r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*l = 76, -66*i + 61*i + 80 = 5*l for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 63*w**2 + 422*w - 56. What is the least common multiple of z(22) and (-3 + (-34)\/(-10))*30?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2, -3*m + 0*m = 4*t - 21. Let i be (321 - t\/3) + 3. Suppose -i = 2*h - 4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 3:40 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 576\/(-90)) + (-2142)\/255?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**5\/13 - 2*m**4\/13 + 32*m**3\/13 + 8*m**2\/13 = 0. Calculate m.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -58, -8, -1 in descending order.\nAnswer: 45, -1, -8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 97454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**4 - 4*r + 4 + 6*r**3 + r**3 - 13 + 7 - 3*r**3 to the form a*r**3 + g*r**2 + n*r + i*r**4 + k and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0.1, -18481, -3\/2 in descending order.\nAnswer: 5, 0.1, -3\/2, -2, -18481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -555486*z**2 + 148*z + 701 wrt z.\nAnswer: -1110972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 929320 = -648680. What is u rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rerrrreerstsrersree. What is prob of sequence rrse?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 26 = -4*s. Suppose s*x - 6 = 14. Suppose -x*o + 5 + 38 = z, -z = -2*o + 20. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 146 = -10. Let j = d - 24. What is the highest common divisor of 170 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60.66672l?\nAnswer: 60666.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3 + 22, -5*x - 2*n + 65 = 0. Suppose -x*u = -13*u - 2*j + 884, -3 = -3*j. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24*5\/((-100)\/670) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 7*t**2 + 8*t - 11. Suppose 6*r = r + 30. Let w be y(r). Is w less than 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*d**3 + 1 - 1 + 234*d**3 + 6*d.\nAnswer: 159*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -121*i**4 + 134464*i**3 + 161248665*i**2 + 117218392*i + 21309200 = 0. Calculate i.\nAnswer: -725, -4\/11, 1837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w*w*(w**(-5)*w)\/w)\/w*w*w)*w\/(w\/(w\/w**(-6)))*w)\/(w\/(w**(-1\/4)\/w*w))**50 assuming w is positive.\nAnswer: w**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88134238 divided by 2?\nAnswer: 44067119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48448379 divided by -5.\nAnswer: -48448379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {b: 1, c: 2, j: 2, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5581 divided by 106182?\nAnswer: 5581\/106182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f - 2. Let a be l(-1). Suppose 5*n - 8*n = a. Suppose -3*c + h - 94 = 0, -4*c + n*h - 108 = 3*h. Is -28 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 5 (c) 146 (d) 0.5 (e) -1 (f) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*s + 193*s - 3*q + 7 = 0, -4*s - 4*q = -12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(1\/((-78)\/(-325)*30\/18)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33017567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k\/k**(-1\/2)*k)\/k))\/k*k*k**4*k)**(-18)*(k**(-2\/5))**(-6)*(k**0)**(-34) assuming k is positive.\nAnswer: k**(-393\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96582 is divided by 3610.\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 40 = 5*s. Suppose -3*v - 4*t + 5 = t, -2*t - 29 = -5*v. Suppose -s*r = -v*r - 6. Solve r*c - 5*c = -15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255887122 to the power of 1\/2, to the nearest integer?\nAnswer: 15996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 379809122 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168114 = 2650*d + 284*d - 331640 - 200290 for d.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 9)\/(2760\/12960 + 1\/(-4))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304244399 and 4098?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 18*d - 11*d = 0. Is -9\/52 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0428 and 0.9.\nAnswer: 0.9428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 15*j**2 - 15*j - 7. Suppose -9*x = 194 - 50. Calculate q(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z**3 + 4*z**2 - z**2)*(34 + 7*z - 34).\nAnswer: 21*z**4 + 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:28 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-5*sqrt(68))**2 + 5 - ((sqrt(68) + 2)*-2)**2*-4) + -1.\nAnswer: 128*sqrt(17) + 16456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -51*v + 504. Calculate w(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0 + 0*i + 2*i**2 - 1\/4*i**4 - 4\/3*i**3. Is u(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3682*i - 361*i - 74353 = 123754 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 5, 15, 29, 47?\n\"Answer: 2*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041531 to the power of 1\/2, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - -315. Is n a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 2170201872.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -5.22404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105878954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6634284 and 29\/12.\nAnswer: 6634284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6213 (base 11) to base 8.\nAnswer: 20062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 9*v - 9. Let t be s(7). Suppose w - 3*w + 73 = 3*a, t*a = 4*w - 113. Suppose -35 - w = -o. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let i(b) = 17*b**2 - b - 2. Let g be i(f). Does 10 divide -3 + (-2 - g\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2266936 is divided by 14719.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67856534293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 2*s. Suppose -4 = -s*t - 0. Suppose -4*v**2 + 20*v**2 - t*v**2 - 4*v = 0. Calculate v.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -26\/1897 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*((0*g**2 + g**2 + g**2)*(-2*g + 3 - 3) + 0*g**3 + g**3 - 2*g**3) + (4*g - 3*g + g)*(4 + g**2 - 4).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 4, w: 3, b: 4, m: 2, v: 1}. Give prob of sequence pw.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 + 30*x - 12. Calculate the lowest common multiple of m(-10) and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 816\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -143140 (base 7) to base 6\nAnswer: -331221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 964 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -100301?\nAnswer: -100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 41. Let z = 24 - u. Suppose z = 4*d + d - 885. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 45 = -3*h, 2 = 2305*x - 2300*x - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**2 - 4*b**4 + 2*b**4 - 6*b**2 + 0*b**4 wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 15*x - 13*x - 3.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from {g: 1, f: 2, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 8*r - 6. Calculate the lowest common multiple of b(-5) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3202*3\/(-2856) + 14\/((-392)\/4). Is o > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.719 rounded to zero dps?\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351096.\nAnswer: 2, 3, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 11. Let x(d) = d**2 - 3*d - 5. Let u be x(4). Let n be ((-3)\/u)\/(3\/10). Is i(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4598)*-2 + sqrt(4598))*1)\/(sqrt(50) - (sqrt(1250) + -2*sqrt(1250)) - sqrt(400)\/(1*sqrt(8))).\nAnswer: 33*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/20 + 7*i**4\/48 + i**3\/12 + 3*i**2. Solve s(r) = 0.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k + 4*i + 10, 5*k + 3*i = -2. Let c(w) = 6*w**k + w + w**2 - 6*w**2. Let v be c(-1). Solve -4*a + 20 - 4 = v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222522371?\nAnswer: 31, 7178141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 26. Let o be t(-5). Let f be ((-52)\/48 + o)\/((-15)\/(-40)). Put 5\/3, f, -0.4, -0.2 in descending order.\nAnswer: 5\/3, -0.2, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -21 - 3\/2*f**2 + 8*f. What is the remainder when 54 is divided by y(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9436366 is divided by 168?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.1248 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b = 187 - 82 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -5. What is the second smallest value in o, 13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -46) + 10 + -8 - (-23 - (-1 - 0))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 5*d + 1, -d - 13 = 3*q - 3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2667*r - 2482. Calculate the remainder when f(1) is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206126.72 plus 0.4?\nAnswer: 206127.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 183. Let h be 6 - (1\/(-1) - -2). Which is the closest to 1? (a) v (b) h (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 3. Let g be k(0). Suppose 3*y = -0*u - 5*u + 229, g*u - 3*y - 123 = 0. What is the highest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010001111 (base 2) to base 9\nAnswer: -1536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.6. Let g be (-37)\/74*(3 + 3 - -4). What is the nearest to 1 in g, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5564 - 282*n - 5564)*(2*n + 0*n**2 + 2*n**2 - n).\nAnswer: -564*n**3 - 282*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09249 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*w + 113*w - 10 = 0. Let u(h) = -10*h - 5. Let j(r) = 30*r + 15. Let l(d) = -3*j(d) - 8*u(d). What is the units digit of l(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/36205 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0547831382261 take away 13?\nAnswer: -14.0547831382261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, 6, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -523111 (base 6) in base 9?\nAnswer: -63747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-20) - -2*(-8)\/20. Let a(m) be the first derivative of y*m - 1\/2*m**4 + 4\/3*m**3 + 0*m**2 - 4. Find the third derivative of a(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c - 8 = 0. Let a be (-13916)\/42 - c\/6. Let h = 559 + a. What is h rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 3*l + l, -4*q = -20. Let v(k) = k**3 - 4*k**2 - 4*k + 1. Let t be v(l). Suppose y - j = t, 5*y + 1 = y - j. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29808 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 775565658 divided by -303786.\nAnswer: -2553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(90\/(-225))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 55 = -n, -10 = 1062*n - 1064*n for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.94 + -0.06. Let g = x - -16.4. Let i = -125 + 121. Which is the third biggest value? (a) -9 (b) i (c) g (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.8 and 376776.\nAnswer: 2185300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -801 and 2.\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -66. Suppose -5*i = -2*f + f - 15, 9 = k*i + f. Solve 0 = u + 2*u - i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*o + 2, -3*w = o - 3*o - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5 (b) 0.1 (c) -0.3 (d) 2\/7 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-4)\/16)\/(-2). Suppose w = -5*m + 20, 0*m = 5*t + 4*m - 16. Suppose -89 = -5*l + 2*o, -2*o = 4*l - t*l - 64. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6221203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 + 0 = 0. Let u = 17 - g. What is the highest common factor of u and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/270300 and 19\/5333920?\nAnswer: 80008800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w + 5. Let a be -1 - (2 - 2) - -6. Let d(k) = 5*k - 3. Let g(l) = a*d(l) + 3*z(l). Let s(o) = 7*o. Give g(s(t)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**3\/3 + 2882*b. Let k(o) = -23*o**2 - 3*o - 8. Give m(k(q)).\nAnswer: 46*q**2 + 6*q + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1804031559943+0.12\nAnswer: 1804031559943.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + a = 8*j - 10, 5*j - 25 = 5*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 4, f: 8, v: 2}. What is prob of sequence tvfv?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 18 + 27 = 0. Let l(u) = 5*u**3 - 9*u**2 - 5*u - 1. Let p(z) = -z**3 + 2*z**2 + z. Calculate n*p(j) + 2*l(j).\nAnswer: j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 223*x**2 + 5*x + 17*x - 22*x in the form u*x + t*x**2 + v and give t.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390987?\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (560 + 1337 - 334)*((2 - 2 + 2*p)*(-2 + 5 - 1) - 2*p + 4*p + 0*p) in the form t*p + i and give t.\nAnswer: 9378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2*(15 + -8). Let r = a + -11. What is the tens digit of 10\/r*18 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/3, 39, 0.2, 4 in descending order.\nAnswer: 39, 5, 4, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*i + 2*i - 155, -3*d = -i - 91. Suppose 4*q = 2*b + b + 14, -2*q = -4*b - d. Let l be (30\/(-4))\/(15\/b). Solve l*o = 2*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -260*t**2 - 117*t - 117. Let k(b) = -9*b**2 - 4*b - 4. Let f(n) = -4*d(n) + 117*k(n). Determine f(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:23 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - q - q**2 + q**2 - 214*q**3 + 298*q**3 to t + a*q**3 + l*q + k*q**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t**2 - 2*t - 5*t + 12*t**3 + 10 - 5*t**3 - 8*t**3. What are the prime factors of s(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.26 and 0.91104?\nAnswer: 0.65104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - -125926.7847?\nAnswer: 125851.7847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(0 + (0 - 1)). Suppose s - 12 = -b, j*s - 3*s = 5*b - 52. Suppose m + 0*m = 19. What is the remainder when m is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 69, 211, 471, 885, 1489?\n\"Answer: 6*d**3 + 5*d**2 + 3*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*33417.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 + 8 = -15*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 2*n + 2. Let y be v(0). Suppose 99 = -5*x + y*x. Let m = x - -62. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.4 to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 2*h + 32. Determine v(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 8*c. Suppose c = -r - r. Put 3, r, 4 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 4, c: 2, t: 2, i: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-6)*t**(-4\/7)\/t)**(-8))**14)**1 assuming t is positive.\nAnswer: t**(-608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c + 1. Let v(i) = -3*i**2 - 7*i + 3. Let n(w) = 2*u(w) + v(w). Suppose -30*r = -28*r + 12. Let x be n(r). Let k(p) = 5*p - 1. Calculate k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:13 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 54 = -5*c - 3*v, -5121*c + 5121*c + v = -27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*(-72)\/(-135)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 817383.1nm in centimeters?\nAnswer: 0.08173831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k - 3. What is the second smallest value in -2\/13, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 178*c. Let h(j) = 176*j. Determine -6*h(f) + 7*w(f).\nAnswer: 190*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3315 and 34680.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2640 = -8*k - 40. Let g = k + -135. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(1 - 2*i**2 - 1) + 378*i**2 - 15*i**2 + 412*i**2 - 4*i**2 + i**2 + i**2 + 3 + 2*i**2 - 3 + (-2*i**2 + 4*i**2 + 0*i**2)*(-4 + 4 - 2).\nAnswer: 769*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-2))\/((-852)\/(-568)). Is j smaller than 18\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8502165 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26732 and 53546?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 - ((-55)\/11 + 88\/22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 4*l. Let q(p) = -5*p**2 + p - 4*p + 4*p**2. Let j(f) = -4*q(f) + 3*w(f). Let z(m) = 8*m. What is z(j(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -559*q**3 - 127614 + 127613 - 2*q**2 + 3*q**2 as n*q + o + v*q**2 + g*q**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 508481 * -131\nAnswer: -66611011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + u = 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 26*m**2 - 25*m - 51. Let q be l(27). Let b be (-54)\/81 - (-2)\/q. Factor 0 + 1\/5*c**4 + 0*c**3 + b*c**2 + 0*c.\nAnswer: c**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12213218*w**5 + 31179145*w**2 wrt w.\nAnswer: 732793080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(170)\/sqrt(10)*-4 + -3)**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 178\/14 - (-6)\/21. Let h(w) = -w**2 + 17*w + 10. Let s be h(17). Suppose 0 = -r*m + s*m + 22821. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-18)*2 - ((-455504940)\/324)\/11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 4 - -1 - (-4 + -33)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*r + 3*l, -3*l = -5*l - 2. Suppose -4*d = 3*a - 55 + 15, -r*d - 4*a = -50. What is the tens digit of 1 - 1 - d\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 494?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a**2 + 2*a**2 + 0*a**2. Let m = -4 - -6. Let f(i) = -i**2 + i**m + i**2. Give d(f(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(2\/36). Let f be (-2)\/8 + 22\/(-8). What is the units digit of f\/((-9)\/o)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = -j + 3, 5 = 2*r - j. Which is smaller: r or 22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-12)\/9) + 4. Suppose -2*s - h - 5 = -4*w, -4*s - 3 = -5*w. Solve s*j - 1 = 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose -s*m = m - 6. Suppose m*t + 5 = 3*t. Solve 3*h - 8*h - t = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44873558.4 to the nearest 1000.\nAnswer: 44874000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-1*-6*(-4)\/(-16). Suppose 7*p = -m*p + 520. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2723 divide 197201984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 190947097 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/4 - 77401*m\/2 - 154803\/4 = 0. What is m?\nAnswer: -1, 154803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13335 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 - -142. Let w = 303 - m. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 - 805185*j**2 - 8052150*j = 0. Calculate j.\nAnswer: -10, 0, 268405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-990)*11 + (-2)\/9. Suppose 17*k = 21*k - 16. Solve -12 = k*h - r*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -2*p. Factor -h**3 + 26*h**3 - 6 + 8*h**3 - 45*h**p - 7*h**4 + 27*h - 2*h**4.\nAnswer: -3*(h - 1)**3*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 57 - (1 + 0). Let t = j + 69. What is the remainder when 77 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4 - -1) + (9 - -1 - 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 0.169, -0.2, -5, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3986463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6 (b) -10 (c) -2\/13 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -1115\/7. Suppose -2 = -y + 3. What is the smallest value in y, t, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197965 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + -0.05. Which is the second biggest value? (a) y (b) -4 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/7)\/((-2400)\/(-160)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*((-1)\/(-15) + (-30)\/75). Suppose o*d + 104 = 16*d. Calculate the lowest common multiple of d and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -780*j**2 - 165*j + 165. Suppose -3*u + 13 - 18 = -m, 0 = 3*m - 3*u + 3. Let t(w) = -19*w**2 - 4*w + 4. Determine m*c(x) + 165*t(x).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Suppose 0 = 15*g - 10*g. What are the prime factors of 2*1*(i + g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5 - 17. Let v be 1 + k*(-13)\/2. What is v rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824358.\nAnswer: 2, 3, 137393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17\/119)\/(4\/(-14)))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - a + 48 + 350 = 0, -5*a + 230 = 3*g. What is the lowest common multiple of g and 208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let z(c) = c**3 - 6*c**2 + 16*c - 6. Let g(a) = -a - 5. Let d be g(-6). Let y(m) = d*z(m) + 5*p(m). What is the units digit of y(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144435268*g**5 + 191135465*g**2?\nAnswer: 8666116080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 19. Let v be z(-7). Differentiate 2*q**2 + q**2 + 8 - 10 - 2*q**v wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(3\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 66*i - 62*i, -500 = -5*k - 5*i. Calculate the remainder when 567 is divided by k.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g**4 + 3*g**3 + 12 - 15 - 4*g**3 + 2*g**3 as w*g**2 + x*g + m + q*g**3 + v*g**4 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.072 (c) 0.1 (d) -0.3 (e) -4 (f) -3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3431, -1, -3, 4, 2, 39.\nAnswer: -3431, -3, -1, 2, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4\/t**(-5)*t\/(t*(t*t*t*t**(-5))\/t)*t*(t**(-6)\/t)\/t assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggggppggpggggpgpgg?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11644897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 149. Let j = y - -54. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2311?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -597, 51, 1063.\nAnswer: -597, 51, 1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -181.74 and 0.10034816?\nAnswer: 181.84034816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 31*i**2 - i - 28. Let w be y(-31). Suppose -5*g + 777 = w*n, n - 5*g - 218 = 21. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 2. Let p(y) = -y**2 + 8*y - 11. Let x be p(2). Let f(c) be the second derivative of -c**3\/6 + 2*c. Let w(g) = x*r(g) - 2*f(g). Give w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043543 less than 0.3005?\nAnswer: 0.256957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1652cb (base 13) to base 8.\nAnswer: -2072245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**7\/210 + b**6\/30 + b**5\/20 + 207*b**2. Solve l(y) = 0 for y.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3615 - 3590. What is the highest common divisor of 8 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5671 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -196, -450, -808?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let z(m) = -1134*m. Calculate z(v(l)).\nAnswer: -2268*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10255 + 75274?\nAnswer: 65017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1395 and 15097?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 8 = 40*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 - 723*q**3 - 18540*q**2 - 141900*q - 318000 = 0. Calculate q.\nAnswer: -10, -4, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:01 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20772 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 843315 and 5903205?\nAnswer: 5903205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 45*p**5 - 10375*p**4 + 234015*p**3 + 355135*p**2 + 110700*p = 0.\nAnswer: -1, -4\/9, 0, 27, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314902 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -s - 0*y + 170, -3*s + 486 = 5*y. Suppose -5*v + 83 = -s. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -124. List the prime factors of s\/112*2 - (-6110)\/8.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/144 and ((((-2610)\/16)\/(-9))\/((-18)\/4))\/28.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/336 - 563*n**6\/120 + 995*n**4\/8 + 3*n**2 - 678. Find the second derivative of i(t) wrt t.\nAnswer: 20*t**3 - 3378*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/105 and -11\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 21. Suppose -h*a + a = -6. Find the second derivative of -18*m**a + 7*m - 4*m**4 + 18*m**2 wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 - 3 - -1 - -3. What is the common denominator of -79\/4 and c*(1 - 11\/10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11298\/5380*(-5)\/(-3)*8\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**5 + 0*c**5 + c**5 + (-2*c**4 + 0*c**4 - 2*c**4)*(13 - 13 - 5*c).\nAnswer: 26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 50 = -9*f. Let k be (8\/6)\/(f\/45). Let l be (16\/280)\/(k\/(-14)). What is the third biggest value in -5\/6, l, 2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4285, 10, -2, -4, -1, -25 in decreasing order.\nAnswer: 4285, 10, -1, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 19*b**2 - 69*b - 66. What is f(-12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytt when three letters picked without replacement from btbvbpytppp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p + 24*p - 3*p + 65 + 5*p + 4*p.\nAnswer: 53*p + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0 + (-3 - -2). Let w(c) = 4*c**3 - 2*c + 1. List the prime factors of w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 + 95*k**3 + 41*k**3.\nAnswer: 127*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77a3 - 4?\nAnswer: 779a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 6815504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24633 * -0.577\nAnswer: -14213.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 264 + 12 = -428. Suppose 5 = 3*u - 4*f - 66, -3*u = 5*f - 26. Calculate the remainder when r is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5817630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8688542*l. Let t(f) = 2*f**2. Calculate t(c(i)).\nAnswer: 150981524171528*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 43 = 4*v + u, -5*u + 65 = -5*v. Let l = v + 10. Let o be (105\/14 + -6)*(0 - 2). Put 2, o, l in decreasing order.\nAnswer: 2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 13. Let m(z) = -z**2 + 15*z + 17. Let d be m(t). Let b be 0 + (d + -2)\/3. What is the second smallest value in b, -0.2, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + -4)*-2*(-1)\/16. What is r in -1\/2*r**5 + 0 + 0*r**2 + 0*r - z*r**4 + 0*r**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -980*r**2. Let a(l) = -1598*l. Determine t(a(y)).\nAnswer: -2502531920*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 434.5828g?\nAnswer: 0.0004345828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z = 69 - 7. Let f be z\/(20 + 0) + 728\/(-80). What is the closest to 3 in f, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*a = 51513 + 56748. What is the remainder when a is divided by 207?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 3 - -2) + -13. Let k be g\/(-3)*(-48)\/(-32). Factor -3*a + 2*a**2 - 2*a**2 + k*a + a**2 + 1.\nAnswer: (a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -139801654 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 = 10. Suppose -t*y + 2 = -y. Does 12 divide (y\/4)\/(6\/396)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -231230.6 to the nearest 1000.\nAnswer: -231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 330 = -2*t. Let f be (-75)\/t*8\/6. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 250.247 and 4.\nAnswer: 254.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -34 + -9 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*4*-2*5)\/(sqrt(18)\/(-1*sqrt(9)\/sqrt(3) - sqrt(3))))**2 + -3 + -3.\nAnswer: 121594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c**3 + 4*c**2 + 14*c - 1. Let n(z) = 4*z**3 + z + 1. Let x(t) = -d(t) + 3*n(t). Suppose -3 = 2*f - 17. What is the units digit of x(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -15?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2307200 + -4392508. Let p = h - -2085308.08699954. Let f = 0.087 - p. What is f rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzozvvozvzvovozyoxev. Give prob of sequence oo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 79*m + 454. Let i be x(-73). What is the highest common factor of 1168 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 2}. Give prob of sequence wo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2057)*-2 + sqrt(2057))**2 + -2 - sqrt(2057)).\nAnswer: -10275 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 957*h**3 - 37083 - h**2 + 242*h**3 + 34048 + 0*h**2 wrt h?\nAnswer: 3597*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 3*d**2 + 3*d + 2. Let x be v(-2). Let m be (-5 + 4)*1 - (-1 + -49). Suppose -44 = 4*r - 4*u - 0*u, -3*u + m = -5*r. Is x bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -41. Let u = x + 32. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -26 - -5) + -19 + 27 + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.22, 2\/17, -2\/9, -2\/11, -11.24?\nAnswer: -11.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(2*y**2 + y**3 - 2*y**2) + 11*y**3 - 89 + 13*y**3 + 90 as o*y**3 + j + d*y**2 + c*y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**6\/40 + p**5\/10 + p**4\/8 - 5*p**2\/2 + 1. Let o(w) be the second derivative of x(w). Factor o(s).\nAnswer: 3*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 18*p**2 - 22*p - 38. Calculate the remainder when (6660\/16)\/9 - (-1)\/(-4) is divided by d(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 + 5 + -8) - (-6 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1070)\/(-48) - (77\/(-56))\/(-11). Let y = o - 22. Put y, 3.6, -2 in decreasing order.\nAnswer: 3.6, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -3 + 0)*-2. Let w = 5 + z. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 - (4 + 3)) + 43 + -20 + 44.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20*j + 3153. What is the thousands digit of a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5455293, -10910584, -16365875?\n\"Answer: -5455291*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**3 + 5*o**3 - 4 - 2*o**2 - 17*o**3 + 5*o + 3*o as n + u*o**3 + v*o + s*o**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*w + 15 = -6, -9 = 4*y - 5*w. Suppose -s + 1 = -t + 7, -s = y*t - 14. Which is the nearest to -0.1? (a) 2 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 3 (c) -637 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 10*v**3 - 2*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let y(r) = -42*r. Give 35*v(p) - y(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(20)\/(sqrt(16)\/sqrt(4)) - (sqrt(5) - (sqrt(5) - (1 + -1 + sqrt(5))))**2 - (((sqrt(720) - (sqrt(720) + 1*sqrt(720))) + sqrt(720))**2 + -3)).\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**4\/12 + 4*r**3\/3 + 6*r**2 + 33*r. Calculate y(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 273.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(192) + 1 + -3)*5)**2 - (((sqrt(96) - 3*sqrt(96))\/sqrt(4))\/(-3*(sqrt(8)*-2 - sqrt(8))))**2.\nAnswer: -1200*sqrt(3) + 135671\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*x = 60*x + 44. Suppose 4*u + 63 = u. Do x and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6 + 14\/(-4). Let g = 371 - 365. Let p(q) = 11*q + 197. Let o be p(-18). Put 5, g, o, s in ascending order.\nAnswer: s, o, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1872)*3.\nAnswer: 2 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -32, 6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 3*m + 0*m)*(-275*m + 410 + 550*m + 365 - 274*m) to the form x*m**2 + j*m + y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -133*c + 709. List the prime factors of j(-66).\nAnswer: 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 - 8*h**2 - 3*h + 7. Let f(w) = w**3 - 2*w**2. Give 3*f(r) - m(r).\nAnswer: -r**3 + 2*r**2 + 3*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 11:51 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -2*h. Let c(s) = 2*s**2 + 60*s - 15. Let k be c(-30). Let y be -185997 - (k\/h + -2). What is y rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5\/4 + 669*k**4 + 10791*k**3\/2 + 4080*k**2 - 108075*k\/4 + 16875 = 0.\nAnswer: -5, 1, 900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 84.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-25))\/((-4)\/(-5)). Let l = -40966981\/393 + 104242. Let i = l + 2\/131. Is c >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68280 = 5*b - 12020. Round b to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8328.11 litres to millilitres.\nAnswer: 8328110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*c - 21 = 0, p - 5*c + 460 = 433. Factor 0*l + 0 + 3\/5*l**p - 12\/5*l**2.\nAnswer: 3*l**2*(l - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 11*d - 14*d - 5*z, -6*d + 234*z = -990 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*i - 22 = 204*i. Solve 7*u = 4*u - 3*k + 6, 0 = u - i*k + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o - 103. What are the prime factors of p(-53)?\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 270632070?\nAnswer: 2, 3, 5, 1002341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.3. Let z = 3 - 2.95. Let y = 3.95 + z. What is the third smallest value in 5, n, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/155 - (-92)\/10 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 145. Let i = -62 + u. 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 greatest common divisor of 678 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38202375?\nAnswer: 3, 5, 101873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(108) + 1)**2.\nAnswer: 24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133 (base 4) in base 11?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3578 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3900)*-3 + sqrt(3900) + sqrt(3900))\/(sqrt(108) + (sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108)*2 + sqrt(108)))*-6)).\nAnswer: 5*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72492010 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-18)*h*h**(-5\/7))\/(h\/(h*h\/(h*(((h**(-1\/31)\/h)\/h)\/h*h)\/h*h)))**7 assuming h is positive.\nAnswer: h**(-757\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 296*n + 6953. Determine x(-24).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -60*l - 11. Let t(z) = 298*z + 58. Give -11*j(m) - 2*t(m).\nAnswer: 64*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545185 is divided by 545182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483925 is divided by 496784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 + 21*d**2 - 386*d - 3224. What is p(-8)?\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1382 - -1385. Let b be (-1 - -6) + (-2 - 0). Suppose -n*p - b*y = -81, -45 = -5*p + 4*p + 5*y. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -3 (c) -0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2 - -1)*153\/102\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -18, 5, -10, 0 in decreasing order.\nAnswer: 5, 4, 0, -3, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 - 128 + 300)*(0*m - 3*m + 4*m) + (2*m - m - 3*m)*(44 - 26 - 25).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -16. Let p be (-4)\/(5\/3 + -1). Let i(d) = 4*d - 4. Let m(z) = -5*z + 4. Let n(a) = 4*i(a) + 3*m(a). Let l(j) = j - 3. What is f*n(g) + p*l(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 15*g + 19. What is q(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*o + 561 = -444, -10 = 5*o. List the prime factors of y.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = 0, -5*n + 5*y - 405 = -0*y. Let i = n - -115. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) -0.07 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14572 + -14476. Solve -32*r + 16*r + i = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6842194 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 716*y - 718*y + 14 = 0, h - 7*y = -12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x - l = -5, 4*x - 5*l + 6 = 0. Suppose -x + 8 = f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008596447 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/5 - 11684912*t\/5 + 17067146055968\/5 = 0. Calculate t.\nAnswer: 2921228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000768590825 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*m = 12, -2 = -5*d - 2*m + 6. Let g = 8 - d. What is the lowest common multiple of 2 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, 2, -46792.\nAnswer: -46792, 2, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1419*z + 3192 = 963*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**2. Let p(j) = 6*j - 34. Let s be p(6). Let h = 814 - -169. Let v(m) = 2*m**s + 983*m - h*m. What is a(v(o))?\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6*d - 120 = 0. Let o(u) = -u**2 - 4*u + 5. Let c be o(-3). What is the highest common factor of c and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888 divided by 8.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*g*o**2 - 454*g - 674*o**2 - 45*o wrt o.\nAnswer: -62*g - 1348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + -6 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*v**2\/7 + 124841856*v\/7 + 374525622\/7 = 0. What is v?\nAnswer: -3, 20806979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2430*h - 2438*h + 4867*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10491 + 13103. What are the prime factors of q?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:30 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8655 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -t - 291*l + 295*l, -3*t + 9 = -2*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 113. Let c be 1\/(-2)*(q - 11). Sort 3, c, -2 in ascending order.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:33 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l - 1. Let a(h) = -2*h**2 - 18*h - 2. Let k(y) = a(y) - 2*f(y). Let k(i) = 0. What is i?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + 1fdcc?\nAnswer: 1fdbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -235*b - 42 + 16 - 317*b + 26 to the form l + w*b and give w.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 19 - (2 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/21 - 17*m**6\/30 - 5*m**3\/2 - 55*m. What is the second derivative of o(z) wrt z?\nAnswer: -40*z**3 - 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18954 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1444, -2886, -4328, -5770?\n\"Answer: -1442*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/21)*p*p\/p**43 assuming p is positive.\nAnswer: p**(-860\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.61 + 34.61. Let j = -49\/3 - -17. Which is the nearest to 1\/2? (a) -1\/9 (b) x (c) 1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2232 and 13\/1240.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100820.9511 rounded to the nearest ten?\nAnswer: -100820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 836.4043 decades?\nAnswer: 100368.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 + 63*w + 330 = 0. Calculate w.\nAnswer: -11, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 63*p + 155. Let r be f(39). What is the highest common factor of 100 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.378035 rounded to 3 decimal places?\nAnswer: -0.378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4 = -2*l. Let s(q) = 48*q**2 - 5*q - 1. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31744754947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111101?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1700538*a**3*z**3 - 7*a**3 + 2*a**2*z**2 - 21*a*z - 15*z**2 wrt z?\nAnswer: -10203228*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 3.2. Suppose -3*f - 3 = 4*g + 5, 0 = 4*f + g + 28. Let u be (-8)\/24*6\/f. What is the nearest to 1 in u, v, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42.3 - -41. Let f = -13.3 - c. What is the second smallest value in f, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*k**4\/2 + 8595*k**3 + 14030*k**2 - 7500*k + 880 = 0. Calculate k.\nAnswer: -2, 2\/9, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 683283220 divided by -4?\nAnswer: -170820805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6518 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 14*b - 45. Let m be f(9). Let v be 6 + 4 + -6 + m. Solve 2*g - 5*g = j + 3, 4*g + 12 = -v*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*60\/4. Suppose -y*d - 7*d + 12 = 0. Let c(t) be the second derivative of -19*t**4\/12 + t**3\/3 - t**2\/2 + t. Calculate c(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 + -10 + -3 + 2 - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 - 3\/2*i - 3\/2*i**2 = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-10) - 234\/(-30). Suppose -z = y - 4. Are -2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**8\/84 + d**5\/12 - d**2\/2 - 5*d. Let a(z) be the first derivative of n(z). What is the third derivative of a(f) wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2102175*o = -2102204*o + 783 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*j - 2*j + 59*j + (-83*j - 91*j + 128*j)*(2 + 2 - 7) as o + c*j and give c.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/44 and 53\/16888682?\nAnswer: 371551004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddabnuabbtd. What is prob of sequence ua?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.053?\nAnswer: 0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2698 + 5081 + q**3 + 1360 - q**2 - 2*q**2.\nAnswer: q**3 - 3*q**2 + 9139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x**2 + 2. Let b be i(2). Let h be -1*2*585\/b. Let a = -8 - -21. Calculate the highest common divisor of a and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 1. Let a(i) = -5*i - 5. Let u(l) = 4*a(l) - 22*q(l). Suppose 20 = 3*d + 2*d + 5*m, -5*m - 15 = 0. Suppose -d = r - 4. Calculate u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001010011110110110010 - 100101?\nAnswer: -1001001010011110111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9464 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.35 + -38.2. Let u = q + 0.55. Sort -4, -0.2, 0.1, u.\nAnswer: u, -4, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q + 6*q**2 - 13*q)*(-119 + 119 - 27*q**3) + 4*q**5 + 2*q**5 + 0*q**5 - 2*q + 2*q + 3*q**5.\nAnswer: -153*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194 or 1359\/7?\nAnswer: 1359\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4641636*g + 4641689*g - 901 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 53836 + 137973 - 2737 = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = -4*s, 8*p - 5 = 3*p - 5*s. Suppose -24 = -m - p*j + 5*j, -3*m + 36 = 3*j. Let t = -15 + m. Solve t = 5*a - 5*h - 30, 4*h + h = -5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:00 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 - 1081*b + 5299. Determine x(-221).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.871775 or -0.4?\nAnswer: 0.871775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -1, -5, 3\/2566?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5 - 10. What is the third derivative of j*i**3 - 5*i**3 + 9*i**6 - 5*i**6 + 3*i**2 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901006 divided by -450503?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:23 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/10)\/((-210)\/(-140))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 12 + (8 - 13 - -16) + -10 + 100?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2114 - 4287. Let d = -2173.001031 - x. What is d rounded to 5 dps?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 11. Let u be x(-7). Suppose -u*o = -2*d + 3*d - 11, 3*d + 4*o = 17. Let k be (160\/3)\/(d\/(-360)). Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = -2*i. Let a(y) = -y - 8. Let p be a(-6). Let h be i + 37 + 2\/p. Solve 2*n - 5*n = -2*w - 2, -h = -5*n - 4*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -36, 5 in descending order.\nAnswer: 5, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/5*10\/(-4))\/(21*(-54)\/34668)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14718231 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6611)\/(-55) + (-4)\/(-5). Let y = p + -120. List the prime factors of (y\/2)\/(-1) + (-7635)\/(-30).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663334 a multiple of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, u: 3}. What is prob of picking 4 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2 + 3 - 4 + 4*g. Let c be ((-22)\/(-33))\/(4\/(-6)). Let w be (1 + c + -1)\/1*7. Let q(h) = -9*h + 7. What is w*k(s) - 3*q(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65, 107, 207, 389, 677?\n\"Answer: 4*v**3 + 5*v**2 - v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -51*o + 2. What is the remainder when 20 is divided by i(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. What is the remainder when (x + -2)*(-21)\/(-9) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 72 = -29*g, 3*s - 8*g - 3*g = 4*g - 18*g + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v + 21. Let r be g(9). Let a = -32 - r. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and ((-12)\/9)\/((-4)\/18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39549 divided by -15317.\nAnswer: 39549\/15317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21204249 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 16. Let y(t) = 5*t**3 + t**2 - 4. Let i be y(-3). Does 11 divide i\/m + 6\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14953903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyxxwswygjywsy. What is prob of picking 2 x and 1 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208155 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1613032039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -331253, -331224, -331149, -331004, -330765?\n\"Answer: 4*m**3 - m**2 + 4*m - 331260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4272556.756 + -34\nAnswer: 4272522.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y - 360. Suppose -3*p - 3 = -39*c + 42*c, -3*p + 37 = -5*c. Suppose -y = -z - 8*k + 9*k, 0 = p*z + 4*k - 496. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -575 and -582 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 187\/510 + 2\/(-4). What is the third smallest value in 0.4, g, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8147962.8 milliseconds in hours?\nAnswer: 2.263323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxww when four letters picked without replacement from wwxwwwxxxwxw?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0, -0.61 in descending order.\nAnswer: 3\/7, 0, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:55 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-4) + 5 - 18\/(-9). Which is smaller: -170 or n?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d + 11. Let g(p) = -7*p - 5. Suppose -q - 18 = 2*q. Suppose 2*i + 2 = 3*a - 0, -3*i + 31 = 4*a. Suppose 78 = -a*b + 26. Give b*g(j) + q*n(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12623030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.3 - 10.3. Let s = 2.99 - -0.01. Put 0, s, x in increasing order.\nAnswer: 0, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*p + 1 = 0, -3*p - 2 = 451*s - 456*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3126, -160, 3 in descending order.\nAnswer: 3126, 3, -3, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-6)*a))*a*a**2\/a*a)**(-1\/18)\/((a*a*a*a\/(a*a**(-2\/7)\/a*a)*a*a)\/a*a*a**(-4)*a**8\/a*a\/(a*a*a*a\/a**(1\/3)*a*a)) assuming a is positive.\nAnswer: a**(-221\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1480 (base 16) to base 5\nAnswer: 131443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 - 6352232*g**4 - 8*g**3 - 71578930*g**2 wrt g.\nAnswer: 60*g**2 - 152453568*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -2.1.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 201346 less than 201423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 1110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 9*s**2 - 5*s - 20. Let b be d(8). Solve 0 = 2*j + 2*a, -2*j + j = 2*a + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8300242 is divided by 638480.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 - 49*g**4 + 52*g**3 = 0. What is g?\nAnswer: -52\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105766 is divided by 34233.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -644 - -644. Suppose 27*y - 59445 + 23670 = a. What are the prime factors of y?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/1445 + 4337\/2890. Solve d*z**2 - 9\/2 - 3*z = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + 0.07. Let l = 0.5 - 0.2. Let x = -1 - -2. Which is the nearest to x? (a) 5 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2 and 97\/10904.\nAnswer: 10904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**3 + 5*s**3 + 9 - 23. Let n(w) = 2*w**3 - 3. Let f(k) = 1 + 56*k + 3*k**2 - 61*k - 4 - 11. Let l be f(4). Give l*n(q) - 3*g(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523 divided by -523.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2375 (base 8) in base 7?\nAnswer: -3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5940 + -5912. Calculate the greatest common factor of x and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 235409497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 10*r - 1448 = -1429 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 6, y: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*r - 70. Calculate the remainder when r is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z + 7. Let w be x(-6). Let m be (-2 - 32\/(-14))\/(5\/35). Suppose m*p = w + 57. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 1277*y - 1277*y.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 - 250*h**4 - 165*h**3 + 3820*h**2 - 4900*h = 0 for h.\nAnswer: -49, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d - 176. Determine o(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x - 4 = 70*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*n*v**4 + 96*n*v**2 + 132393*v**4 + 6*v**2 + 373*v wrt v.\nAnswer: 696*n*v + 3177432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*x = 80 - 246 + 188 + 1364 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*w**4 - 4 - 6 + 10*w**4 wrt w?\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29745 + 29750. Factor -5*z**2 - 5\/2*z**4 - 1\/2*z**5 - r*z**3 - 1\/2 - 5\/2*z.\nAnswer: -(z + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 442, 453, 472, 499, 534?\n\"Answer: 4*b**2 - b + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 29\/((-203)\/(-231))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 r, and 1 j when four letters picked without replacement from pjprprjjnjtpntppnppj?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 22*v**2 + 32*v - 463. What is i(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2\/5 + 16379*i\/5 + 632697\/5 = 0. Calculate i.\nAnswer: -16223\/4, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3\/2 + 2*p. Let o(r) = -r**2 - 2*r. Let z(c) = 6*c**2 + 11*c. Let l(g) = 22*o(g) + 4*z(g). Give l(w(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 11*w + 15. Let t be j(-11). Is 591\/t - 2\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6) - (0 + 8467\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/5)\/o)**(-2\/7))**(8\/7)\/(o**0\/(o*o**(-1\/5)*o*o*o)*((o\/(o*o\/o**(-7))*o)\/o)\/o**(-2\/23)) assuming o is positive.\nAnswer: o**(66739\/5635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/6 + 4\/12. Suppose 0 = 2*o + i - 38, -h*i + 26 = 2*o - 9*i. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10718*i**3 + 7*i**2*l + 49*i*l - 2*l + 5885035 wrt i?\nAnswer: 32154*i**2 + 14*i*l + 49*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + 98516. Let s(z) = -139*z. Give s(v(i)).\nAnswer: -556*i**2 - 13693724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/((-2)\/(-8)). Let i be k\/(34\/4 + 2). Let x = 0.073 - 3.073. What is the smallest value in 0.2, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.64 + -1.17. Let n = y - 30.47. Let g = 29 + n. Which is the second smallest value? (a) 4 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c56 - -16?\nAnswer: c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(4455))\/(sqrt(5) + sqrt(5)*1*4 - sqrt(45)\/(sqrt(36)\/sqrt(4))).\nAnswer: -27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*d = -6, d + d - 3 = -5*h. Let l = -55470\/10213 - -4\/1459. Let p = 36\/7 + l. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-70 - -83) - (2 - -1 - 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(540\/(-75))*(-68)\/5)\/((-8)\/(-36)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 619 - 615. Let l be k\/(256\/(-8))*-4. Factor l*w**4 - 1\/2 - w**3 + w + 0*w**2.\nAnswer: (w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6392*h**3 + 1668108*h - 1668108*h - 2*h**2.\nAnswer: 6392*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (-56 + 9) - (-6 + 1). Find q, given that 18 - 2*q**3 - 72*q - 6 + 16*q**2 + h*q = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 20 - 53 + 18*w + 72)*(-w - 3 + 3).\nAnswer: 2*w**3 - 18*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 149958.4023 seconds?\nAnswer: 0.24794709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, h: 7, z: 2, i: 2, c: 1}. What is prob of picking 1 b, 1 i, and 2 z?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*0\/(-3 + 2). Suppose 0*r = -2*r + 4. Solve o = -r*u - 2*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19825.\nAnswer: 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32326 + -601?\nAnswer: -33230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*k**2 - 1\/5 - 1\/5*k + 1\/5*k**3.\nAnswer: (k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-8))\/((-40)\/48). Solve 2*j = -d + v, -2*d + 3*j - 8 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -76*r**2 - 8*r - 5. Let k(b) = 150*b**2 + 18*b + 11. Calculate 4*k(i) + 9*p(i).\nAnswer: -84*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 76320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-60))\/((-2)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1007\/15 - 334\/5. Let a(f) be the first derivative of -1\/2*f**2 - f + 2 - o*f**3 + 3\/2*f**4. Calculate a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 7. Let u = 5 - b. Solve -u*a - 7 + 1 = 2*z, -6 = 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -13*g**3 + 29*g**2 - 18*g - 5349. Let t(o) = 7*o**3 - 14*o**2 + 8*o + 2670. Let q(b) = 9*t(b) + 4*u(b). What is the derivative of q(w) wrt w?\nAnswer: 33*w**2 - 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 15. Let q be (-8 - n) + 5\/1. Suppose 15 = v - 4*c, -v - c + q*c = -13. What is the smallest common multiple of v and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 22*n**2 + 23*n + 12. Give t(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + 1099*g - 6506. Give y(6).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 884651 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w + 7. Suppose -23 - 2 = 5*k. Let q(m) be the second derivative of -13*m**3\/6 - 5*m**2 - 1362*m. Determine k*q(v) - 7*x(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0183 minus 0.0882?\nAnswer: -0.0699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 - 50\/(-18). Let z(m) be the first derivative of 5*m - 4*m - 20 - 3*m**k + m**3. Determine z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepe. What is prob of sequence ppe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -614 - -1086. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26084?\nAnswer: 2, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50510 = -10855*a - 7090 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 36 (c) -11 (d) 0 (e) 0.03 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10000, -39413, -88446, -157105, -245396, -353325?\n\"Answer: -y**3 - 9804*y**2 + 6*y - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 1. Let t(l) = -4*l**2 - 2*l + 10. What is -6*d(j) - t(j)?\nAnswer: -2*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65265.16km to micrometers.\nAnswer: 65265160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 0 - (4127 + -4199)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 42. Solve 16 = -5*w + z*v, -3*v - 4 = -3*w - 4*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326 and 44733068?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -0.1, -0.2, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/925)\/((-468)\/5772)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102800496 a multiple of 2377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k - 28 = 4*f, 5*k + f = -15. What is the smallest value in 0.1, k, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 11*j**2 - 12*j + 25. Let d be t(10). Suppose -2*k + x - d*x = -490, k - 249 = -x. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 8) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 2*q**2 - 3*q + 2. Let m be g(3). Suppose j = m*p - 4, 0*j = -4*p - 4*j + 20. Suppose f - 1180 = -p*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7297718573+-12\nAnswer: -7297718585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3353423 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-2)*h))**(-25\/3)\/(h\/h**(-1))**(2\/15) assuming h is positive.\nAnswer: h**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8691333 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (819\/4)\/9*20. What is the highest common divisor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*v + 415, -5*j + 19 = 4*v - 396. Let f = j + -78. Suppose 3*m + 30 = 2*q, 106 = 5*q + f*m - 19. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a - 3. Let w(g) be the second derivative of g**4\/12 + g**3\/6 - g**2\/2 - 14*g. Determine 3*w(u) - x(u).\nAnswer: 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415803.\nAnswer: 1415803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (59 - (-36 + 48 + -23)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 852268 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(6\/7)*c*c**(3\/5))**14*((c\/c**(-6))\/(c*c**(-1\/2)\/c))\/(c*c**(-4)*c*c**(1\/2)\/c) assuming c is positive.\nAnswer: c**(292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*m - 416 = 3*y, 0 = -3*m. Suppose -153*u = -149*u + 16. Let c be (408\/15 - u\/(-20)) + -1. Calculate the greatest common factor of y and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1193392 divided by -298348\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 247 and 1955?\nAnswer: 482885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(109*p - 41*p + 56*p).\nAnswer: -124*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2222*n**2 - 31*n**3 - 14*n**3 + 2221*n**2 + n. What is v(1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + w**3 - 2*w**3)*(-21*w + 126 - 126).\nAnswer: -21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 28*j + 2. Let u be y(7). Suppose 0 = -2*z - 2*x + 32, -31*z - 3*x + 12 = -30*z. What is the greatest common factor of u and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 4. Let l = 181 + a. Suppose -4*g = g - l. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 0. Let q(b) be the third derivative of -b**6\/360 - b**5\/120 + b**4\/12 - b**3\/3 + 3*b**2. Let v(f) be the first derivative of q(f). Determine v(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvvxxvxxvxvvvx. What is prob of sequence vvxv?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 3. Let n be g(-5). Suppose -4*l + 23 = n. Let c(t) = 11*t + 1. Let p be c(l). Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34681 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((180\/140)\/1)\/((-1)\/7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6258*q - 3 + 20915*q + 3 + 7409*q)*(-3*q + 4*q - 2*q).\nAnswer: -22066*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 747*j - 749*j - 4*x = -10, 4*j - 2*x = -10. Let o(z) = z**2 + z + 5. Let d be o(0). Put -2, d, j in decreasing order.\nAnswer: d, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66988 (base 12) to base 7\nAnswer: -1105016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 38918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/8*(10\/(-6) - -3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.369 + 0.731. Let s = -65 + o. Let f = -9 + 23. Is f > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 2, -457?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) 0.5 (d) -1\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314751.\nAnswer: 379, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -b. Suppose 2*y - 2*u - 3 = 3*u, y + b*u = 6. Let c be (-3 + 5)*(-1 - -2). Solve -y = -2*a - c*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = 0, -2*m + 18 = 2*q - 4*q. Let f = -6 - q. Solve f*d = 6*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.7 + -11.8. Let n = 56 - 52. Let w = -1 + n. Which is the biggest value? (a) w (b) s (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16 - 1 - -2)\/1. Let w be (-4)\/6 - (-5)\/j. Which is the third biggest value? (a) w (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 2*k + 53. Let z be o(-6). Suppose 5*n + 3*p = 4347, z*p = 2*p - 3. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100110001111 (base 2) to base 13.\nAnswer: -6926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/a**(-1\/10))**(-1\/5) assuming a is positive.\nAnswer: a**(-7\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2}. What is prob of sequence yy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57946 + 57947. Let g = 147\/4 - 723\/20. Which is the second biggest value? (a) v (b) 2\/9 (c) 0.3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 808\/6*(295\/(-50) + -1). Let w = c + 938. Find the common denominator of -18\/185 and w.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9 + j**3 - 34\/9*j**2 + 28\/9*j.\nAnswer: (j - 2)**2*(9*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (246\/(-205))\/((-2)\/20*3). Let j(w) be the first derivative of 11\/2*w**2 + 8 + 0*w**3 + 0*w - 7\/4*w**z. Find the second derivative of j(m) wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*j**3 + 0*j**2 + j + 2*j + 4376*j**3 + 3141*j**3 + 4*j**2.\nAnswer: 7968*j**3 + 4*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.46 + 0.06. Let a = -7 - y. Let u = a - 2.39964. What is u rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(450) - sqrt(90)\/(2*sqrt(5)))\/((sqrt(150) - (sqrt(150) + sqrt(150)*1 - sqrt(150) - sqrt(150))) + sqrt(150) + sqrt(150) - sqrt(378)\/sqrt(7))*1.\nAnswer: 59*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 7796 + 122869 = -133527. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (3 - -4)) + (1 - -2) + 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -206794 divided by 23\nAnswer: -206794\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 58 - 203 = -x, -4*t + 514 = 2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + (-342)\/(-48))*(-6)\/(-9). Let w = -14.02 + 14. Let s = w + 0.1. Put 0.5, s, y, 5 in decreasing order.\nAnswer: 5, y, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -a. Let x(y) = 2*y**2 + y + 1. Let m be x(a). What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 7*u - 13*u - 30*u.\nAnswer: -53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 39. Which is the nearest to 0? (a) -0.2 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 1399 = -3449. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32\/15 - 356\/195. Let o = h + -62\/117. What is the third biggest value in 24, 0, o, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18866 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**2)**(-41\/5))**(2\/37)*((v\/v**(-2\/7))\/(v\/(v*v\/v**2)))**(-14\/3) assuming v is positive.\nAnswer: v**(-1232\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:58 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-8)\/(-126))\/(20\/(-30)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 2*t**3 - 6*t**3 + 19*t**3 + 0*t**3 - 67*t**3 + (3*t**2 + 2*t**2 - 3*t**2)*(3*t - 2*t + 0*t).\nAnswer: -49*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - 0 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12340, 49363, 111074, 197479, 308584, 444395, 604918, 790159?\nAnswer: 1000124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 697*o + 942. Determine n(27).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -14.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p**2 + 4. Let y be v(0). Suppose -5*j - 65 = -y*i, 3*i - 5*j - 2 = 43. Let n = -56 + 106. Calculate the highest common divisor of n and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/6 - 2*p**3 + 5*p**2\/2 - 2*p - 2. Let w be v(-6). Solve 0 = 4*g + 5*r - 25, 6 = w*g + 5*r - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.7 + 9.4. Round x to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0782 + -0.4218. Which is the second biggest value? (a) -1313 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/7 - (-12)\/42. Let m be 2\/(2 - h) - -1. Suppose u - 1 = 2*a - m*u, 4*a = 4*u - 12. Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*f + 3*f, 0 = -5*r - 3*f - 15. Let k be (72\/((-3)\/(-1)))\/(20 - (-1736)\/(-93)). Solve 4*p - 3*x + 24 = 2, 4*p - x + k = r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10384 divided by -286\nAnswer: -472\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4\/9 (b) -7 (c) 2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + x**4 + 2*x**4 + 0*x**4)*(-49 + 49 - 53*x).\nAnswer: -159*x**5 - 106*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 4*p**3 + 40 - 40 + 5*p + 9*p + 4*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1147844 and 536?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941 - 8*b + 941.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbbtttttttt. Give prob of sequence bbt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + -5?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(2\/(-24)). Let a be 2935\/15 + 6\/(-9). Let w = -191 + a. Solve 0*d = w*r - d + i, 5*d - 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, -652, 9, -7, -9 in ascending order.\nAnswer: -652, -127, -9, -7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27447211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8 - 1) - (-175 - -181).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 131, 165, 213, 269, 327, 381, 425?\n\"Answer: -q**3 + 13*q**2 + 2*q + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjdjjddj. Give prob of picking 3 d and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/((-30)\/111))\/((-57)\/(-570)). Solve b*j + 4 = 76*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 15*f**2 + f - 13. Let x be k(15). Suppose 0*o + x = -2*o. Is ((o - -2) + -2)*-211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 2*p**2 - p + 2. Let a be l(2). Let b(d) = d**3 - d**2 - d - 7. Give b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((-2*14\/16)\/(651\/(-186)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/2 - (73 + 1). Let m = 695\/9 + t. What is the closest to -1 in m, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*0.059.\nAnswer: 0.00413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1623 + 3220. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 2008732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-27) + (-4)\/18. Suppose -41 = z*x - 57. Find the third derivative of -91*m**4 + 44*m**4 - 2*m**2 + 48*m**4 - x*m**2 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**3 - 10*b**3 + b**3 + b**2 + (b - 3*b + 0*b)*(-25*b**2 + 137*b**2 + 199*b**2).\nAnswer: -621*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*t - 0*t - 1477, 309 = u - 4*t. Suppose 0 = -o - 4*a + 72 + 92, 2*o + a = u. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8923 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -950.94569 - 0.6.\nAnswer: -951.54569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**3 + 104*w**2 + 18*w - 19. What is o(-12)?\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 709 in decreasing order.\nAnswer: 709, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 less than -2105666.2?\nAnswer: -2107510.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.16 + -0.16. Let y(h) = 3*h + 8. Let p be y(-4). Let t be 1*((2 - -1) + p). Which is the closest to 2\/9? (a) t (b) g (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/12*(-15)\/(-2). Let w(l) = l**3 - 7*l**2 - 9*l + 12. Let q be w(8). Let k = q + o. Is -2\/9 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3644 by 1932.\nAnswer: -911\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1069567 - -4278313\/4. Factor 11\/4*v**3 + 27\/2 + 1\/4*v**4 + 81\/4*v + d*v**2.\nAnswer: (v + 2)*(v + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y**2 + y**2 + y**2. Let d(j) = 19 - 77 + 13 + 36 + 9 + 1 + 98*j. What is v(d(u))?\nAnswer: 19208*u**2 + 392*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -16 + -13 + 12 + 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2633723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -1) + (-155 - -130) + 70?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -109. Suppose 4*r - 200 = 5*y, s - 20 = r + 5*y. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(119) + -1*sqrt(119)*1)*-2)\/(-4*((sqrt(112)\/sqrt(4))\/sqrt(4) + sqrt(63)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -38?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-107 + (-1 - -68)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*l + 311*l - 6 + 100 + 188 + 1761*l wrt l?\nAnswer: 1946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - z = 49, -118*z + 113*z = 7*u + 339 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7, -56, 5, -2.\nAnswer: -56, -2, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28469887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 42.96. Let u = d - 104. Let c = 60.99894 + u. Round c to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.77 - 0.23. Which is the nearest to -0.2? (a) l (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/245 and -113\/10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2043 and -19913.8.\nAnswer: -19914.0043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g + 238 = -1002 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:36 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - i + 69, -5*a - 4*i + 93 + 72 = 0. What is the remainder when 182 is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {k: 2, d: 4, g: 1, y: 1, z: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11833333 by -1.\nAnswer: 11833333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 divided by -9?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 18*q**2 - 4. Let h(p) = -44*p + 1243. Let m be h(30). Let k(u) = 343*u**2 - 77. Calculate m*g(w) + 4*k(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 26.87829 millilitres in litres?\nAnswer: 0.02687829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23971023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1088851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 343274.9 micrometers?\nAnswer: 343274900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 16*a - 13. Determine g(-15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + o - o + 0. Let g(d) = d**3 + 7*d**2 - 4. Let c be g(-7). Let f(z) = 2*z**2 + 4*z. What is c*b(x) - f(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 158930300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14\/285469?\nAnswer: 14\/285469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 315 in ascending order.\nAnswer: -5, 1, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3633*v + 134463. Calculate z(-37).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2755 + 2755. Solve k = -3*t - 3*q - 9, 7*t = 12*t + q - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002379 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -3*j, 3*s + 1 + 1 = -2*j. Suppose -4*h + u - 3*u + 130 = 0, s = 3*h + 4*u - 90. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/80 and 6.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 2*t**4 - t**4)*(-2*t + 3*t + 0*t)*(0 - 1 + 3).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21714 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.622825 kilometers?\nAnswer: 622825000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4 and 71\/25218?\nAnswer: 50436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*h*v**2 - 292*b**3*v + 11*b**2*h*v**2 - 7*b**2*v - 2*v**2 wrt b.\nAnswer: -6*h*v**2 - 1752*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -6.1. Let m be ((-2)\/(-4) - -2)\/((-6)\/3). Which is the third smallest value? (a) m (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3331424594.\nAnswer: 2, 1665712297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6323, 6561, 7063, 7961, 9387, 11473, 14351, 18153?\n\"Answer: 22*i**3 + 84*i + 6217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.971 - -0.029. Let d = 5 - o. Let p = d + 15.999852. Round p to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 3, r: 1, v: 3, f: 2}. Give prob of picking 2 v, 1 r, and 1 d.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 15) to base 3.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -383*h**3 + 3*h + 2. Let m be k(-1). Suppose 3*a - 442 + m = 0. What is the smallest common multiple of 6 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 4*c + 2*c + (1 - 1 + c + (c + 3 - 3)*(0 + 0 - 2) + (1 - 5 + 3)*(-32*c + 64*c + 87*c))*(1 - 2 + 0).\nAnswer: 123*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 4*h + 2. Let v be d(4). What is the second derivative of 3*i + 6*i**v - 11*i - 2*i**2 - 3*i**2 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -275, -275, -273, -269?\n\"Answer: a**2 - 3*a - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2))**(-26\/3)\/(((x\/x**(-8)*x)\/x)\/x**7))**(27\/5))**(-45) assuming x is positive.\nAnswer: x**(-3726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -14 + 0*l + 1\/2*l**2. Calculate w(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 3*a - 17, -48*r + a - 1 = -44*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 2, j: 1, p: 2, t: 1, h: 1}. Give prob of picking 1 b and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 11:49 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzrz when four letters picked without replacement from zzzrzrrzzzr?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 34. Let f(u) = -6*u + 36. Let t(b) = 5*f(b) - 6*k(b). Let d(g) = g - 4. Let w(n) = 5*d(n) - t(n). Determine w(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1296.\nAnswer: 1\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1059 (b) 2 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 3)\/(-2 - -1) + -6. Let i(z) = -4*z - 1. Calculate i(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*l. Let n = l + 1. Find the third derivative of -q**2 + 2*q**3 + q**2 - q**n + 2*q**2 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**2*x**3 - 23*v**2*x - 502*v*x**4 - 5*v - 144*x wrt x?\nAnswer: 12*v**2*x - 6024*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 1 + 4 = -2*d, -5*p = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -313 - -84921102225.\nAnswer: 84921101912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/2)\/(-2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -29*i**2. Let l(b) = 19*b. Determine g(l(u)).\nAnswer: -10469*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -26. Let y(u) = -u**3 - 9*u**2 + 14*u - 4. Let w be y(s). List the prime factors of 339\/11 + (-8)\/w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 22*s + 20*s - 16 = 0, -3*i = 25*s - 21*s - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**2 + 3*c - 4. Let z = -6 - -3. Let q be (1\/(-2))\/(z\/(-18)). What is the remainder when u(q) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 17\/5*f**5 - 35*f + 0*f**4 + 0*f**3 + 8 + 0*f**2. What is the first derivative of k(b) wrt b?\nAnswer: 68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 3) to base 15.\nAnswer: -13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52247.03 + -52247. Let a = -158 + 4583\/29. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5157876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -59.\nAnswer: -84\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0516653 millennia to years.\nAnswer: 51.6653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2188290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73388922, 146777844, 220166766, 293555688, 366944610?\n\"Answer: 73388922*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283*-116.\nAnswer: -32828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 311 - 276. Suppose 3*b + 3777 = 3*y, -2*b + 0*y = 3*y + 2503. Is 18 a factor of 1 + c\/(-45) + b\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397266*y**3 - 22324*y**2 + 4?\nAnswer: 2383596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 y when four letters picked without replacement from {y: 4, u: 2, k: 3, x: 1, p: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1045692466 and -7.\nAnswer: 1045692459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 159, 580, 1279, 2250, 3487, 4984?\n\"Answer: -h**3 + 145*h**2 - 7*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1)*(-213 + 421 - 284)*((-3 + 3 - 2)*(3 - 2*o - 3) - 2*o + 0*o + 3*o) to z + u*o and give u.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 13*l**2 + 16*l + 41. Let t be d(-12). Let b be 9*(70\/(-15))\/t. Is 14 a factor of ((-112)\/12)\/((-2)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 9*d - 26. What is j(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.43*-2750.\nAnswer: -45182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (-2*((sqrt(500) - -1*sqrt(500)) + sqrt(500)) + -1 - (0 + sqrt(500) + -3)*-1))**2 + -2.\nAnswer: -50066 - 1600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 907 divide 141401300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1338 or 1335?\nAnswer: 1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u - 3 = 0. Let p = 12 + -15. Let t be u\/((p - -6)\/(-3)). Solve i + t = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487495 divided by 1?\nAnswer: -487495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104, 73, 22, -49, -140, -251, -382?\n\"Answer: -10*d**2 - d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7441000\/(-6))\/(12\/(-29 - 7)). What is s rounded to the nearest 10000?\nAnswer: 3720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -122. Suppose -g - j*g = -544. What is the greatest common divisor of g and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -582561.63 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let a = 870 - 872. What is the nearest to 2 in -5, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.272 + -2.4. Round l to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/(2\/(-9)). What is the first derivative of u - 5*o**4 + 1 - 1 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y**2 + 2*y + 3. Let a be h(5). Suppose a + 492 = 5*q. Suppose 97 = 3*c - s, 3*s + q = 5*c + 7. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18900855 divided by 203235.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 + 5*s + 1. Let m be h(6). Let a = -188 + m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10100001111101110001?\nAnswer: -10100001111101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*q = -72*q + 758 - 71 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 89 = 49 - 18 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -867, -5, -0.6, 1, -2\/13?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2106 times -1\nAnswer: -2106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1401.6 - -1401.6. Sort -592, -3, g.\nAnswer: -592, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (10 - 4) + -2 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-2))\/(1265\/66 + -20) + -9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3*1)\/((-1144)\/(-1144)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335\/8 + 3\/8*j**3 + 1617\/8*j - 285\/8*j**2 = 0.\nAnswer: 1, 5, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1261 (base 11) to base 13\nAnswer: -992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 2*w**2 - 522*w**3 + 452*w**3 + 57*w**3.\nAnswer: -13*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 5*u**3 + 8*u**2 - 6*u**2 - u**2 + 2*u**2 in the form j*u + q + g*u**3 + o*u**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1033 - 5.4133. Let p = 0.87 + z. Round p to one dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhkkkkkkkhhhkkkzh. What is prob of picking 1 z and 2 k?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*l - 22, 3*f - f + 8 = 4*l. Suppose 0 = -3*n + 2*n + 4. Let j be (-10)\/(-2)*(3 + -2). Solve -f*x + j*g = -7*x + 10, -n = -3*x - g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylkksekkl. What is prob of picking 1 l and 1 k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 5:01 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(14*14\/98).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 520*j + 210. Give n(2).\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(135\/70)*162\/189)\/(3\/30).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 3830, 13020, 30940, 60500, 104610, 166180, 248120?\nAnswer: 353340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4507769 divided by 7\nAnswer: 643967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91666?\nAnswer: 2, 45833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 h, and 1 l when four letters picked without replacement from {w: 2, g: 3, h: 7, l: 4, s: 1}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 2800.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(176) + -2 - sqrt(176)) + sqrt(176))*1*-5*-1)**2.\nAnswer: -1600*sqrt(11) + 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -746 - -754.26. Let a = o + -0.66. Let y = 12.2 + a. Round y to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037364 less than -0.14?\nAnswer: -2037364.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2 - 68346*b + 1167793929 = 0.\nAnswer: 34173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 2. Let h be x(0). Suppose -h*k - 8 = -6*k. Suppose 7*y = k*y + 65. Calculate the greatest common factor of 26 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a milligram in micrograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 1 + 2*u + 2*u - 4*u. Suppose -3 = h + 1. Let p(c) be the first derivative of -c**3 - c - 102. Calculate h*v(y) + 3*p(y).\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29\/2? (a) -61 (b) -3 (c) 0.01 (d) -0.3 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5147248 hours?\nAnswer: 1853.00928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w + 3*w - w - w. Let y(s) = 6*s - 42. Let o be y(10). Suppose -o = -2*i - 28. Give r(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1. Let m(y) = 3 + 7 - 6 - 14*y + 16*y. Let v(a) = -m(a) + 4*z(a). Let c(f) = 2*f - 3*f - 2*f. What is c(v(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21227, 42477, 63733, 84995?\nAnswer: 106263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 925852*j - 5555148.\nAnswer: (j - 925858)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:15 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9379198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let z(x) = 9*x + 3*x - 5*x. Give z(b(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y + 157. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179347509 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 d, and 1 v when three letters picked without replacement from {x: 1, d: 13, v: 3, n: 3}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*o**2\/7 - 259596*o + 363434\/7 = 0. Calculate o.\nAnswer: 1\/5, 181717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 a factor of 3224317040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756*i = 766*i - 8470. Suppose i = l - 6*x + 3*x, 0 = 3*l - x - 2573. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, -84*h + 89*h - p - 1050 = 0. What is the greatest common divisor of h and 1330?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r = -44*r + 102900. What is r rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*w**2 - 4535 + 4535.\nAnswer: -176*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g + 8*g - 3 - 9*g**4 + 65 - 4*g wrt g?\nAnswer: -36*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63.052 * 0.021.\nAnswer: 1.324092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-2 - 2)\/1. Let r be j*(-32)\/52 + -2. Let s = 35\/104 - r. Which is the biggest value? (a) s (b) 1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61655692, -61655693, -61655694, -61655695?\nAnswer: -61655696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 52023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 993\/(-111) - (-22)\/(-407).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2348465 + 188535. Round r to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 34, 1\/2, 4, 61, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034 times 3.01?\nAnswer: -0.010234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**3 - 20*j - 31*j**3 + 17*j.\nAnswer: -12*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 10*y**2 - 6*y - 7. Let n be p(-9). Let z = 40 + n. Calculate the common denominator of 37\/10 and ((-52)\/(-10) - z)*15\/(-23).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q + 3 + 6*q - 2*q - 10*q**2 wrt q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 6. Let o be k(4). Let s be o\/3 - 65\/(-15). Suppose -2*q + 4 = -2*r - 6, -5 = -5*q - s*r. Solve q*p + 3 = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 12:49 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 divided by 2?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41331431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -62, -36, 10, 82, 186, 328?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 255 - 210 = 0. Let h = i - -14. What is the remainder when h is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 3. Let s(r) = 8*r - 13. Let u = 75 - 66. What is u*a(t) - 2*s(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 6.1\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22739 and 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/12 - 11*b**3\/6 - 5*b**2 - 44*b. Suppose 0*t + 2*t = -h - 22, -2*t + 4*h = 2. List the prime factors of r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7485 + -7484.92114. Round l to three dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/20 - z**4\/6 - 5*z**3\/6 + 3*z**2 - 27*z + 1. Solve a(u) = 0 for u.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = -3*w + 42, -3*w - i + 42 = 0. Let n = w - -65. Suppose -3*t - 108 = -3*m, -n = -4*m - 5*t + 29. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 + 7 = 2*m, 0 = -4*m + 2*w - 4. Which is bigger: m or -26\/623?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5660619246?\nAnswer: 2, 3, 314478847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 260*g + 4. Calculate the smallest common multiple of s(1) and 156.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-6 - -4)) + -2. Suppose 237 = 2*y - 4*a - 9, k = 4*y - 3*a - 492. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23669 greater than or equal to -23664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -2483659.9.\nAnswer: -2483657.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422338?\nAnswer: 2, 7, 97, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(363\/366 + -1). Suppose -3*a - 5*i = -r, -4*i = -a + 3*a - 82. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r**2 - 5*r. Let m be ((-2)\/(-1) - 0)*2. Let k(j) = 6*j**2 + 4*j. Let p(y) = y + 2. Let o be p(2). Let c be 19\/o + 2\/8. Calculate c*k(f) + m*z(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qff when three letters picked without replacement from {f: 11, j: 2, q: 1, t: 2}.\nAnswer: 11\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 25 = -168*y + 173*y, -4*i - 22 = -y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 5 - (-26)\/(-2). Let u(f) = -f**3 - 12*f**2 - 15*f + 9. What is the tens digit of u(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -8*y**5 - 2387154*y**4 + 6564716*y**3 - 5371144*y**2 + 596796*y + 596794 = 0.\nAnswer: -298397, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3+-25.732467\nAnswer: -28.732467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2026 and -239.\nAnswer: 484214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*b = 5*w + 4, 2*w + 4*b + 4 = 0. Put -2, w, 5 in increasing order.\nAnswer: -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3 + 526*r**2 + 29808*r + 440064 = 0?\nAnswer: -191, -48, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*l**3 - 4*l**2 + l + 4*l**2 - 28882*l**3.\nAnswer: -30056*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/(26\/(-4)*96\/(-1560))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2170\/(-84))\/31)\/((-9)\/(-24))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -5 + 4 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*g**2*s**3 - 1768*g**2*s**2 + g*s**4 + 2*s**4 wrt s.\nAnswer: -318*g**2 + 24*g*s + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u + 502*u - 154*u.\nAnswer: 361*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.87 - -4.87. Let i(q) = q**2 - 2*q - 3. Let k be i(4). What is the nearest to o in -2\/15, k, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 160*c - 782. What is the remainder when 764 is divided by u(7)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000522418 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:30 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 21 in increasing order.\nAnswer: -2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + z**2 + z**2 - 262*z + 3.\nAnswer: 2*z**2 - 262*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -266.6 * -0.1\nAnswer: 26.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1380 and 1935.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 3456.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = c - 0*p - 3*p, -4*p - 20 = 0. Suppose -5*t + 12*t - 17444 = 0. Suppose -5*i + c*i - t = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11776599*o**2 - 57571900?\nAnswer: -23553198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*((sqrt(13) + sqrt(39)\/sqrt(3) + -4)*-5)**2 + (-3*sqrt(104)\/sqrt(8) - sqrt(13) - (sqrt(65)\/sqrt(5) + -2)).\nAnswer: -405*sqrt(13) + 1703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((5031\/(-12))\/(-13))\/((-12)\/(-80)). Let u = p + -1931\/9. Suppose u*b - 1\/9*b**2 - 4\/9 = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(3 - (-6)\/(-4)). Let g be (9\/1)\/(-3) + c. Solve t + 12 = 5*l, -2*l + g*l - 24 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -83441058?\nAnswer: -5\/83441058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 66, 0, -5 in decreasing order.\nAnswer: 66, 0, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104701\/33 - 3173. What is the common denominator of -113\/18 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.81 + -22249063?\nAnswer: -22249024.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000673 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -4, 117.\nAnswer: -4, 0, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1 + 4 + 55\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57746 + 231*x + 57746 - 90*x.\nAnswer: 141*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2004023033, -2004023034, -2004023035, -2004023036, -2004023037?\n\"Answer: -f - 2004023032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/7)*m*m*m)**0\/(m*m**(2\/11))**(-7) assuming m is positive.\nAnswer: m**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 187 = -j - 199, 0 = 3*j + 2*d - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*r, 0 = -6*b + 8*b + r. Let d(h) = h**3 - 2*h**2 - h - 3. Let x be d(3). Sort x, b, 2.\nAnswer: b, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012112220012 - 2?\nAnswer: -1012112220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 6\/(-51))\/((-8)\/(-12)). Put -2\/3, -0.4, 1\/4, n in decreasing order.\nAnswer: 1\/4, n, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 1. Let i(p) = p**2 + 1. Suppose -2*r = r - 3*c - 21, -2*r - 4*c = 10. Determine r*i(m) + 5*n(m).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 8*g**2 - g. Let j be k(7). Suppose 3*f - j = -0*f. Suppose -3*n = -0*n - 21. Calculate the greatest common divisor of f and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q + 3*f + 25 = 0, 0 = q + 4*f - 11. Let j(z) = -4*z - z + 4*z + z**3 + q. Let s = -3 - -3. What is j(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -650\/8997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1865 or 916?\nAnswer: 1865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*r + 66*r - 1505088. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48927 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*h - 4 - 7 = 0, 4*h = 2*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 - 95. Calculate the remainder when 125 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14.02. Let k = z + 0.18. Which is the second biggest value? (a) k (b) -2\/5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/4 - 25*a**4\/4 - 26*a**3 - 20*a**2 = 0. Calculate a.\nAnswer: -20, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0)\/3 + 1. Let j be o + 1 - 0\/1. Factor 2 + 2*y**4 + j*y - 2*y**2 - 2 - 2*y**3.\nAnswer: 2*y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72928 divided by -1376?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64.5 - 0.05\nAnswer: -64.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4007521 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22) - 2\/((-88)\/(-14)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 divided by 4?\nAnswer: 989\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 1\/8, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 446287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.037 and 0.104.\nAnswer: 0.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 518*o - 1014*o + 6647*o**2 + 496*o to the form k*o**2 + j*o + s and give k.\nAnswer: 6647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 25. Let z = -1.7 + 5.7. Put -5, n, z in descending order.\nAnswer: n, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**4\/24 + q**3\/6 + 5*q**2. Let p(d) = -3*d**2 - 4*d + 2. Calculate 2*i(z) - p(z).\nAnswer: 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 56. Solve o*j + 0*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2556.48 tonnes?\nAnswer: 2556480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i - 1. Let j be b(-3). Let q be (35\/15)\/(j\/12). Let w = -17 - q. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128377 (base 12) to base 13\nAnswer: a8889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 + 350*g**4 + 14658*g**3 + 160186*g**2 + 224644*g - 399840 = 0 for g.\nAnswer: -119, -40, -14, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/18 - 2) + 333\/(-54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -2046, -5108, -9408, -14952, -21746, -29796, -39108?\nAnswer: -49688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160332219 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1744)\/(-6))\/((88\/(-29535))\/(-4)). Calculate the lowest common multiple of 36 and (-1 - (-9)\/11) + r\/1969.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/(34\/(-544)*42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6148303 (base 9) to base 3\nAnswer: 20011122100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 - 6 = 0. What is the units digit of (-63)\/o - 3\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -1 + sqrt(162) + -3 + (3*(1 + sqrt(162)))**2.\nAnswer: 180*sqrt(2) + 1463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*u - 17417436 + 309217 - 24166956. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 14*g + 8. Let t be 1 + (-7)\/(14\/(-18)). Let r be (4\/t)\/((-4)\/100). What are the prime factors of i(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31678787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -581\nAnswer: -9296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*z - 33*z - 233 - 187 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/7, -1, -2, 2\/185?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108834 and 599522?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 27 in decreasing order.\nAnswer: 27, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 23*x - 15. Let v be n(-11). Let m = 272 + v. Let i = -1 - -5. Solve i*d - m = 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let x(o) = 110*o - 3. Let l(z) = -z + 2. Let m(r) = -l(r) - x(r). Determine m(i(y)).\nAnswer: -109*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -130209*v - 911474. Give s(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33013111 (base 4) to base 3\nAnswer: -10010220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 35*g + 44. Let u be x(18). Let k = u - 404. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1922 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -5, 0.06, 4\/7, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -178 - 452. Let b(w) = -w**2 + 5. Let n(s) = s**2 - 21*s + 7. Let x(y) = -2*b(y) - n(y). Let t be x(-12). Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4111*v**2 + 741*v**3 + v**4 - 4111*v**2 + 88*v**3)*(-6*v + v + 3*v).\nAnswer: -2*v**5 - 1658*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 151*z**4\/24 + 2*z**3\/3 + z**2. Let g be j(-3). Let o = g + 718. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 19 = 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30311632 to the nearest integer?\nAnswer: 5506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2a0a (base 12) to base 14\nAnswer: -1b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1338, 2675, 4010, 5343, 6674, 8003, 9330?\nAnswer: 10655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 334*p + 3416. What is v(100)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109559545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286772467.\nAnswer: 521, 550427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 8*u**2 - 10*u**2 + 67 + 21*u**2 - 4*u**2 to c + t*u + h*u**2 and give c.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = n - 640. Let b = n + -32. Calculate the greatest common divisor of b and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 124419371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -76*x**2 - 2*x - 11. Let y(w) = -w**2 + 2*w + 6. Determine i(h) + y(h).\nAnswer: -77*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.726 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -6364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 851387852 to the power of 1\/3, to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**3 + 17*h**2 - 14*h - 15. Let v(x) = 10*x**3 + 25*x**2 - 20*x - 22. Let y(g) = 7*j(g) - 5*v(g). Suppose 2 - 20 = 3*o. What is y(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 3*q + 4. Let l be v(0). Solve f - m = 1, -3 - l = f - 5*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20341155*u - 109327361?\nAnswer: -20341155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 + -178. Solve -25*u + o*u = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*v*y**2 + 5*v*y - 10*v - 27016*y**2 with respect to v.\nAnswer: 14*y**2 + 5*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*m + 1954*m + 2*m**2 - 1282*m + 9*m**3 - 5*m**2.\nAnswer: 9*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17834 is divided by 5781.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*u**4 + 12 + 55*u**2 - 14*u - 28*u**3 - 30*u + 46*u**4.\nAnswer: (u - 2)**2*(u - 1)*(5*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.9804 - -0.0196. Sort u, 0.18, 4.\nAnswer: 0.18, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354406 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 7*g + 0*g - 1540.\nAnswer: 8*g - 1540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdpn when four letters picked without replacement from {n: 1, j: 3, d: 1, p: 2, c: 4}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67891 is divided by 10533.\nAnswer: 4693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10296*u**2. Let r(q) = 15*q + 20. Give r(k(i)).\nAnswer: -154440*i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 18*t**2 - 3*t + 7. What is the tens digit of l(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 21*g + 55. Let f be s(-23). Solve 4*a + f + 7 = 4*q, -3*a - 12 = 5*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32313516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.17 - 9780263863.\nAnswer: -9780263843.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.92 + 0.08. Let g = -6580 - -6585. Which is the smallest value? (a) n (b) g (c) 2\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 22297 - 22108 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-10) - 6\/15. Suppose -73 - 206 = -v*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, e: 3, g: 3, t: 2, z: 1, x: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 5. Let g(n) = n + 2. Let m(x) = -5*g(x) + 2*l(x). Let r = 49 + -40. Let b(q) = -r*q + 7*q - 2*q. Calculate b(m(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m**2 + 6 - 6)*(0*m**2 - 5*m**2 + 4*m**2 + (-2*m - 2*m + 6*m)*(1 - 1 - 2*m)).\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 28. Let n be (-58)\/980 - x\/20. Let l = -2\/49 + n. Sort 3, l, 0.1.\nAnswer: l, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-264)\/(-18))\/((-2)\/(-30)). Suppose j = -10*m - 10*m. Let q(g) = 9*g + 21. Let s(w) = -2*w - 4. Calculate m*s(u) - 2*q(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0497638 rounded to three dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740735319 to the power of 1\/2, to the nearest integer?\nAnswer: 41722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-8)*r)*r*r**(18\/7))\/((r\/(r\/(r\/(r*r**2*r))*r*r))\/r*r**(4\/11)) assuming r is positive.\nAnswer: r**(1325\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.7 - -13.4. Let w = f - 0.7. Which is the nearest to w? (a) 0 (b) 3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124710 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 17, 31, 51, 77, 109?\n\"Answer: 3*w**2 - w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 + 81 = -30*w. Let b(v) = -5*v**2 - 2*v + v**3 + 5 - 5*v + v. Determine b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 2}. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -535 + 542. Which is the third biggest value? (a) k (b) 3 (c) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**3 + 9*q**2 - 2*q + 9. Let d(w) be the second derivative of 1\/6*w**3 + 0 - 2*w**2 - 1\/4*w**5 - 1\/3*w**4 + 9*w. Give -9*d(j) - 4*u(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b + 27. Suppose -w = -27 + 9. Let y = b + w. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/493 - (14749\/(-7140) - (-3)\/5) and -97\/618.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.4. Let t = h - -0.1. Let j = t + 2.3. What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/2 + 0)*520\/(-650). Let l be 2\/(-16) + 0 + 129\/g. Solve 5*a + l - 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16690 + 14649 + 49781 = 1540*o for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = -5*n, -n = -3*u + 1728. Let t be (-102)\/170 - (-343)\/u. Is t at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 10\/(-5) + 39604. Suppose f + 5*z = 9900, 0 = -4*f - 2*z + z + s. What is f rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -20 + 47 - 1*10. Solve x = -5*i + 4*r, 5*i - 8*r + 5*r = -14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 4*h - 30. Let u be o(-8). Let v(m) = 11*m**2 - 4 + 3 + 25*m**2 - 2 + 4*m. Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22789, -22782, -22771, -22756, -22737?\nAnswer: -22714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 - 742 = -21*r. Is r > 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.89 - -0.11. Let b = -13 + g. Put -5.9, -1\/4, b in decreasing order.\nAnswer: -1\/4, b, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/5 + 10538*v**3\/5 + 26856333*v**2\/5 - 962083984*v + 9513330188\/5 = 0. Calculate v.\nAnswer: -5353, 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 8:48 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let a = 2511 + -2512.011. Let t = 1.111 + a. What is the nearest to x in 3, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 4, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -1\/2 (c) -0.11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201 is divided by 1944.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45.89 - 29.99. Let v = -4 + -12. Let o = v + i. Is o > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {c: 15, o: 2, g: 3}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 16*o - 40. Does 9 divide w(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9952571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzztsstzttz. Give prob of picking 1 t and 1 z.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 12. Let i be n(6). Let c be 21*(22\/i + -3). Calculate the highest common divisor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - i. Let r(s) = -s**2 - s + 9. Let o be r(-3). Suppose -o*q - 4*w + 8 = w, -5*q = w - 6. What is l(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/v)\/(v\/v**(1\/8)*v)*(((v*v**4)\/v)\/v)\/v**(2\/3)*(v**(-3)*v\/v**(-2\/11))\/(v*v\/(v**2\/v)*v*v)**(-3\/23) assuming v is positive.\nAnswer: v**(42695\/6072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14838 + 1385 = 1230*g + 435*g + 1532 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -157, -347, -603, -919, -1289, -1707?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24049?\nAnswer: 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (4 + -1)) + (0 - -5). Let k(j) = 91*j - 4. Is k(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607902 is divided by 968?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 63 = -4*k. Let u = 36 - k. Calculate the remainder when 53 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:17 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 365921 (base 10) to base 7\nAnswer: 3052553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4 - 4)*(f**2 + f**2 - 4*f**2) - 2*f + 2*f - f**3 - 2*f**3 - 2*f**2 + 2*f**2 + (-2 + 5 - 1)*(-2*f**3 + 3*f**3 - 2*f**3) + f**3 + 2*f**3 - f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd6cb1c + 3?\nAnswer: -cd6cb19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1 + sqrt(1008)) + sqrt(1008))**2 + sqrt(1008) + ((sqrt(1008) + 2)*-1)**2)*2 + 1.\nAnswer: 696*sqrt(7) + 34299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -12*g + 1. Let y be (-6)\/4 + 3\/(-2). Put y, g, 3 in decreasing order.\nAnswer: 3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 7. Let j be n(8). Let d = -6 - j. Suppose 2*s = -d*s + 30. What is the greatest common divisor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/203, -0.1, 27.545?\nAnswer: 27.545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*u - k + 20, 16 = 5*u - k. What is the third derivative of -n**4 - 108 - 18*n**2 + 108 + 14*n**u wrt n?\nAnswer: 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from xexlellelelxl?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + (-8)\/(40\/(-45)). Is 8\/3 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (2 - 4))*3\/(-18). Suppose 0 = 5*w - 2 + 7. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20382 and 27176?\nAnswer: 81528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - 2*(2 + -3)*5. Solve 0 = m*w - 10*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = 142*q + 1532 - 275 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/30 and -51\/166531985.\nAnswer: 999191910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvoz when four letters picked without replacement from fivfifizffozzfiofvo?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9825*a**3 + 8*a**2 - 6*a - 3. Let r be b(-7). Suppose -4*j = r - 19770406. Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -6.558292264466.\nAnswer: -6.658292264466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let q(a) = 2*a**2 + 2*a - 1. Let v be q(-2). Is v smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 11*k**2 - 2*k + 31. Calculate b(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 74, -2, 4537, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/(-12)*(-206)\/30 and 119\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1169179*n*t - 88738213*n wrt t?\nAnswer: 1169179*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 - 4 + 5*c - 6*c - 16*c**3 to the form g*c**3 + h*c**2 + f*c + t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 158.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-11 - -13 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36865.37 rounded to the nearest 100?\nAnswer: -36900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 414 + -414.1. Sort 0.3, 1, 0.4, x in decreasing order.\nAnswer: 1, 0.4, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.76 - 8.76. Suppose 21 = 3*a + 3*z, -5*a - 4*z = -28 - 3. Put 0, a, 2\/17, r in descending order.\nAnswer: a, r, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/27)\/((x**(-5\/8)\/x)\/x*x) assuming x is positive.\nAnswer: x**(335\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**4 - 70*s**3\/3 - 64*s**2\/3 + 8*s\/3.\nAnswer: -2*s*(s + 2)**2*(9*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246*w**5 - 19*w**2 + 22*w wrt w.\nAnswer: 14760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k - 165 + 111. Solve 16 + 0 = 4*h - 4*t, k*t + 10 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.367 + 220.713. Round z to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66729467, 66729475, 66729483, 66729491, 66729499?\n\"Answer: 8*u + 66729459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -226*n**2 - 1352*n + 26. Let f be m(-6). Factor 5\/9 + 1\/9*i**f - 2\/3*i.\nAnswer: (i - 5)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29065 - -29064. Which is greater: r or 29\/396?\nAnswer: 29\/396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1296 = -5*q + 2*b + 2589 - 1299, q - 9 = -3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (218\/(-4))\/((-3)\/(-6)). Suppose -35 = 2*w - 29, -2*w = 4*n - 638. Let k = n + s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 59. Suppose -5*n - 2*c = -0*c + 22, 3*c - 5 = f*n. Which is smaller: n or -13\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5441 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 194\/(-97)*9\/45\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/3 + 28*l**2\/3 + 64*l\/3 + 16.\nAnswer: 4*(l + 2)**2*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pttt when four letters picked without replacement from {n: 3, w: 2, p: 2, o: 2, t: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4 + 0 = -p, -3*w - 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - -1402?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4, -g - 15 = -5*f + 4*g. Suppose -15 - 160 = -f*h + c, 0 = h + 3*c - 105. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403528 divided by 4\nAnswer: -100882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 + j**2 + 2 + 2*j**2 - 5*j**2 - 4*j**3 + j**2 to the form o*j + f + g*j**3 + x*j**4 + u*j**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 22. Suppose 0 = 4*g - m + 6*m - 286, -4*g - 3*m = -282. Suppose g*a + 20 = 70*a. Solve 4*f - a = -5*o, 0*f + x = 5*o + 5*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -596 (base 15) in base 12?\nAnswer: -896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(9) - 1*sqrt(9)))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4 + 8. Let n = 4 + -2. What is the third derivative of m**n - 4*m**6 - 2*m**2 + 5*m**r wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -781 - -775.43. Let f = -5.37 - h. Which is smaller: f or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 11. Let n be (3\/6)\/((-5)\/30). Let l = n + h. Which is the biggest value? (a) 3 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 628b9c8d + 2?\nAnswer: 628b9c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(2*o + 0 + 0).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 26 = 2*k, k = -2*k + 12. Let r be 2\/(2 - 4\/n). Let t = -11\/6 + r. What is the nearest to t in 2, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 67*d**2 - 7*d - 453. Give j(-67).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.279 - -0.179. Let v = 3 + -1. What is the smallest value in v, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18*1)\/((-10)\/30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 + p**2 + p - 1. Suppose 0 = 2*q - 8*q - 6. Let v be l(q). Find the first derivative of 0*f**v + 4 - 12 + 4*f**4 wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8959710 is divided by 2986569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 155 + -4 + 9 - -3. Let v = q - 108. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 484.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257972261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 3, a: 1, e: 6}. Give prob of picking 1 p and 3 l.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.81 + -30. Let s = k - -0.29. What is the third biggest value in -3, -2\/19, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*q + 208*q + 1162 - 134*q in the form r + y*q and give r.\nAnswer: 1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20678 and 73\/189056.\nAnswer: 1323392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-104)\/(-13) - 2)\/((-1)\/(-85)). Calculate the greatest common factor of g and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttitotit. Give prob of sequence ii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111.04273 - 2.28173. Let q = -109 + s. Let c = -0.039 - q. Which is smaller: c or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6866)\/20*4\/6. Suppose 0*k = -4*k + 916. Let p = k + y. Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42332340 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 3) + (7 + -2 - 763). Let y = v + 2272\/3. Which is the closest to y? (a) -3 (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5583 and 163957822?\nAnswer: 491873466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/392)\/(2\/(-14)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*26\/16 + -1. Let l(f) = 46*f + 42. Let o be l(7). Let m be o\/175 - 4\/50. Is d <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 216 = 970. Suppose -2*y + v + 240 = 0, -6*y + y = v - l. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44131531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167654\/19 or 8823?\nAnswer: 8823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 18097149?\nAnswer: -18097155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -0.01, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1099 - -1104.7. Which is the nearest to -1? (a) 3\/4 (b) 0 (c) n (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300767255 to the power of 1\/2, to the nearest integer?\nAnswer: 36066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17062 times -0.3?\nAnswer: -5118.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(396) - sqrt(44)\/(sqrt(24)\/sqrt(6)) - 1*((sqrt(99)*-1)\/sqrt(3))\/sqrt(3))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -p. Let c be (-29)\/p*(2 + -1). Let w = c - -66. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*q**4 + 273*q**4 + 3 - q - 7*q**2 - 139*q**4 to the form f*q**2 + c*q + j*q**4 + w*q**3 + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + 962 - 2546 = 0 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + k)*(0*k - k + 0*k) - 28*k - 11*k**2 + 28*k + 75*k**2 - 155*k**2 - 78*k + 81*k**2.\nAnswer: -8*k**2 - 78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*((-1 + -1 + sqrt(117) - (-4*sqrt(117)*-3 - sqrt(117))) + 3))**2.\nAnswer: -540*sqrt(13) + 105313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3494 equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -4*i + 4*h, -9*i + 3*h = -7*i - 371. Calculate the remainder when 449 is divided by i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7 = 5. Suppose 0*f = -3*f + r. Suppose 21 = 2*y - f*m + m, -5*y + m = -45. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19522103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 405*c - 410*c + 32, 0 = -3*c - d + 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 3 + -8 + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by -22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*w + 435*w - 3442*w**2.\nAnswer: -3442*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 - 63*i**4 + 837*i**3 + 1867*i**2 + 966*i.\nAnswer: i*(i - 42)*(i - 23)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -159929, -159936, -159943, -159950?\n\"Answer: -7*q - 159922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14973*m**3 - 2*m**2 - 3*m - 4. Let z be o(-2). Round z to the nearest 1000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3150 + 22825. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -80. Suppose -6 = -z - 28. Let k(b) = 4*b + 15. Let v(u) = u + 4. Calculate f*k(d) + z*v(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00237693 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2 and 1\/20948000.\nAnswer: 20948000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 195456269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100000 (base 2) in base 9?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24129 + 24128.9. Let m = 2.877 - -0.063. Let v = 0.06 + m. What is the nearest to -2\/11 in f, -2, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2601, 5449, 8297, 11145, 13993, 16841?\n\"Answer: 2848*i - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 + 134. Let n(a) be the second derivative of a**3\/6 - 8*a**2 - 2*a. Let l be n(15). Sort -4, l, y in descending order.\nAnswer: y, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/90, -5, 3 in ascending order.\nAnswer: -5, 1\/90, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13173*b**3 + 370*b**4 - 13173*b**3 + (-b**4 - 3*b**4 + 3*b**4)*(1 + 0 + 0) + 3*b**4 - 3*b**4 + 2*b**4 + b**4 - 4*b**4 + 5*b**4.\nAnswer: 373*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-7 + -10 + 4)) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037481 to 6 dps.\nAnswer: 0.000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 229947956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from {s: 1, y: 4, j: 3, g: 5, q: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(147) - sqrt(108)\/sqrt(4).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 12. Suppose 4*o - r = -43, -3*r + 48 = -4*o - 7*r. Let k = 12 + o. Sort 11, k, y.\nAnswer: k, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 27*a - 22*a + 7, a = -3*l + 10. Solve l*b + 0 - 14 = -2*d, 0 = -5*d + 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203999806403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, 46, 10, -62, -182?\n\"Answer: -2*w**3 + 2*w + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3 + 2 + -2). Let y be a + (-4)\/(-4) + 3. Suppose 2*c = 3*f + 8, y = -c + 2. Which is smaller: f or -10\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 623 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -846 * -798.\nAnswer: 675108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3036 = 1509*w + 3843*w - 182 + 2498 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(125))**2*-3.\nAnswer: -423 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**3 - 227*q**2 - 17*q + 49. Is p(33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-42)*3*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 376452\nAnswer: 29\/376452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -35\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 6. Does 9 divide q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -1.5529?\nAnswer: 0.248464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-36)\/135*504\/48.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -80. Let s(r) = -3*r - 48. Let u be s(y). Solve u*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46127, -92250, -138373, -184496?\nAnswer: -230619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.007 - 0.103. Let k = p - -0.01. Suppose 0 = 2*s, -s = u + 4*s. Which is the closest to k? (a) u (b) 5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162*-190.\nAnswer: -30780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*i + 65 = -70*i. What is the remainder when 50 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 6}. Give prob of sequence epe.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 6*z + z + (2 + 2 - 2)*(-2 - 2*z + 2) + z - 3*z + 0*z - z - 2*z + z + 0 + 0 + 2*z)*(2263*z - 1235*z - 2062*z) to x*z**2 + j*z + s and give x.\nAnswer: 7238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3*o**2 - 100631*k**2*o**2 + 353*k*o - 3*k + 59*o**2 wrt k.\nAnswer: -18*k*o**2 - 201262*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270810, 541619, 812428, 1083237, 1354046, 1624855?\nAnswer: 1895664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -141*z + 67*z - 3*z**2 + 80*z - 1. Let a(i) = 2*i**2 - 5*i + 1. Give -5*a(p) - 4*k(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**3 - 1005*j**2 - 87891*j - 1188963 = 0?\nAnswer: -57, -17, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-170)\/(-45) + 2\/9. Let o = u + 4. Calculate the remainder when 23 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*i + 2*r, 2*r + 2 = -2*i - 2*r. Solve i*t + 7 = c, -4*c = -5*t + 6 - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -18ae0?\nAnswer: 18ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 7. Let i = 0.102 + 29.898. Let w = i - z. Which is the second smallest value? (a) 1.5 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6.1, -2, 0, -3, 2\/13, -91, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyg when three letters picked without replacement from {g: 2, y: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 54 = 23*r - 26*r, 0 = r + 4*u - 38 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8 + 7 + 8*f**3 + 10 + 4*f - 7*f**3 + 8*f**2. Let m be g(-8). Let h(a) = 3*a + 2. Let t(d) = 3*d + 2. What is m*h(r) + 6*t(r)?\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + -2.6. Let p = -0.002 - 2.698. Let d = f - p. What is the second smallest value in 0.2, d, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/(-88) + 49\/11. Solve -v = j*s + 6, 2*v = -2*s - 2*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23 - 0)*(-6 + 5). Suppose -b + 2 = -4*j + a, -2*j - b + 9 = 0. Suppose t - 5*d - 354 = -0*t, -5*t + 1920 = j*d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 times 32516?\nAnswer: 22143396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 656550 and 16200.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67688617*r**3 + 172*r**2 + 2*r - 5531 wrt r.\nAnswer: -406131702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -109.91\nAnswer: 219.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2966)\/180 + (-343)\/15435)*1\/3*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360293?\nAnswer: 360293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Suppose w*t + t - 40 = 0. Suppose 0*f + f - 3 = 0. Solve -f*z + k + 15 = 0, -z - 5*k - t = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6*d**4\/11 + 368118*d**3\/11 - 2577180*d**2\/11 - 3681504*d\/11 + 5890560\/11 = 0.\nAnswer: -61360, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + 3.91. Let u = 0.0812 - -1.9188. Sort -2, u, x in decreasing order.\nAnswer: x, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-5)\/(-150)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137256257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -42, -48, -54?\n\"Answer: -6*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 + 147 + 1379*i**2 - 288 to j*i + f*i**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 = -49. Let y be 6\/(-4) - c\/(-4). Is 18 a factor of (0 + y\/4)*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -8, -10, -12?\n\"Answer: -2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -200210121201120?\nAnswer: 200210121201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/2 + -3)\/(-2). Let g(m) = 18*m**2 + 1. Let q be g(-1). Suppose x + 16 + 41 = 3*p, p - 5*x - q = n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 22*s**2 + 22*s - 18. Let d be v(21). Suppose d*w = 8*w - 0*w. Determine t, given that -1\/2*t + w - 1\/2*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4 = 6*j. Suppose -36 = -j*x - 4*w, -5*x + 3*w = -w - 27. Let p(h) = 3*h - 5. Determine p(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**8\/840 + 66*k**7\/175 + 391*k**6\/150 + 584*k**5\/75 + 259*k**4\/20 + 194*k**3\/15 - 410*k**2 - 2. Let i(y) = 0. What is y?\nAnswer: -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 358708648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27781644 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/4 (c) -2 (d) 424\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-3) - 28 - (48\/64 + (-255)\/20).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kllk when four letters picked without replacement from {k: 2, l: 3, v: 2, y: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {h: 1, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6762*h + 490654 + 24548 = 34657 - 40129 for h.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/167? (a) -5 (b) 1\/4 (c) 0.1 (d) -0.2 (e) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 645340533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 201?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-19)\/1 + 84?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*j - 16*j + 4000 + 7880 = 0 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 1386867?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 23 + 0\/(-3). Let j = -9 + h. What are the prime factors of (-6)\/(-8) + 351\/j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2025 and -24\/25.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 - -132. Let v be (2 + -2)\/1 - i. Suppose -4*x + 121 = -v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 8:25 AM?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -0.0682544 + -46.2276\nAnswer: -46.2958544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4 + 4 + 31*a**2. Let q(x) = 71 - 7 - 2 - 62 + x. What is q(i(j))?\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*w - 2830 = 225 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.92610453232 and -0.86.\nAnswer: -21.78610453232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 810*k*o**2 + k*o - 839*k wrt o?\nAnswer: 1620*k*o + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6360\/70)\/((-2)\/(-7)). Suppose x = -12*m + 846. Let u(g) = 3*g - 7*g + m - 42. Let v(o) = 33*o - 17. Give -51*u(p) - 6*v(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2300))\/((-14)\/350)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -136*b - 31. List the prime factors of f(-5).\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23102446489*u**3 - 3*u**2 + 23102446499*u**3 + 3*u**2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j + 23. Suppose -2*a + 5*u = 32, -147 + 124 = 3*a + 5*u. What is l(a)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*(-4)\/(-60)*-3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60055, -60065, -60081, -60103, -60131?\n\"Answer: -3*q**2 - q - 60051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24084 = -719*c + 357 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*k - 12, -3*k + 14469*a = 14466*a - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*p - 29 = p, -5*p + 20 = 5*w. Suppose 2*f - 32 = -3*g + w, 17 = f - g. Calculate the smallest common multiple of 12 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221221202 - 11?\nAnswer: 1221221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/23 + (19152\/2093)\/(-38)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 6. Let b be z(1). Let i(s) = s**2 + 9*s + 42. Calculate the remainder when 152 is divided by i(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/4 + 6112817*w - 37366531675489 = 0. Calculate w.\nAnswer: 12225634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/72 - w**5\/30 + 3*w**4\/8 - 23*w**3\/3 + 3*w**2. Let j(i) be the first derivative of b(i). Differentiate j(z) wrt z.\nAnswer: 10*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 - 9*p + 1\/3*p**3 + 0*p**2. Let a(f) = 5*f + 4*f + 0*f + 0*f. What is b(a(q))?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1177 and 3317.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 2*l**3\/3 + l**2 - 1. Suppose 2*t + 18 = t + 4*g, 0 = 3*g - 12. Give x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1041 - -1.2979. Let z = 1.54 - f. Round z to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 7. Let y be s(6). Let w be 10\/(-2 + y\/(-1)). Let u = -291 - -293. Which is the nearest to w? (a) u (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*q + 21614 + 21334, 3*q = 4*x - 171836. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + -1 + (-19 - ((-6 - 18) + 16)) + 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004155477424 to five dps.\nAnswer: 0.00416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184659860*h**5 + 8840026*h + 15?\nAnswer: -3693197200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -25*w**3 - 35*w**2 + 25*w - 25. Let j be ((0 - 2) + 32)*-1. Let m(g) = g**3 + g**2 - g + 1. Let i(n) = j*m(n) - h(n). Let i(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28628*s - 25 = 4*b + 28633*s, -2*b - 3*s - 13 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g + 5*g)*(-4*g + 24*g + 13*g)*(4 - 2 - 3).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -47*r**2. Let b(c) = 1581*c. What is d(b(y))?\nAnswer: -117479367*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*u + 5*x, 124*u - 126*u + 6 = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = 6*q - b, 0 = -b - 5. Let o be (-3 - -2)\/((-6)\/24). Suppose o = -5*r - s + 1, 6 = -5*r - 2*s. Which is greater: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 13*g**2 - 5. Suppose -14*i = -2*i + 11 - 83. Calculate b(i).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (3 + -3)\/(-5). Is -14 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2 + (-1 + 2 - 2)*(1 + 0 + 0) + 4 - 4 + 2 + 73 - 17 + 3 + 8 - 17 - 6)*(-4*j + 2*j + 3*j)*(1 - 3 + 1) to the form m*j + d and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3*h + 5 + 139*h - 580*h + 18*h + (-4*h - h + 3*h)*(2 + 0 + 0).\nAnswer: -424*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164682.\nAnswer: 2, 3, 7, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.567 - 1.29?\nAnswer: 16.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4079.159 days in nanoseconds?\nAnswer: 352439337600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700419879 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -33, -30, -9, 36?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6024 and 88?\nAnswer: 66264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.891937 rounded to three dps?\nAnswer: 2.892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3400)*1)\/sqrt(2) + ((sqrt(17)*1 - sqrt(17))*-5)**2 + 1.\nAnswer: 1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 - 113. Suppose -n - 4 + 10 = g. What is the highest common divisor of n and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205536 divided by 2\nAnswer: -102768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 - 3*z. Let u(r) = -36*r**2 - 16*r. Let j(g) = 16*s(g) - 3*u(g). Let h(o) = 19*o**2. Give h(j(i)).\nAnswer: 304*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 2*k**2 + 2*k + 1. What is the remainder when x(-3) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -82*y**2 + 165*y**2 - 81*y**2. Let b(j) = -20*j. Determine b(o(z)).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.1 + -0.1. Let t = -3 + b. Let w = 0.06 + 0.34. What is the third biggest value in w, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6e (base 15) in base 13?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(2\/31)*t**5\/t*t**5*((t**(-2\/7))**0)**(-13) assuming t is positive.\nAnswer: t**(278\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.478 times 0.2?\nAnswer: 2.4956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -156.\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 3*h = -119, 5*i = 3*h + 145. Let t = i + -20. Let d be 62\/t - 6\/(-27)*3. Solve -2 + d = -2*r - m, 0 = 3*r + 4*m + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 12*q - 4. Let t be m(8). Suppose -3*g = -2*b + 32, 18*b + 3*g = 17*b + 16. Calculate the greatest common divisor of t and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -60, -1\/4, 5, -5\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826833 is divided by 1756.\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*m - 0*m, 0 = -4*m + 16. Solve t*a = 3*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28*((-1827)\/84 + 21)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w. Let h(k) = -k**3 - 8*k**2 - 2*k - 17. Let f be -9*1 + (4 - (6 - 3)). Let i be h(f). Calculate o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 1. Suppose 1515 - 283 = 14*r. Let o = -76 + r. Let i(v) = 4*v**3 - 48*v**2 + 60*v - 40. Let g(c) = o*y(c) + i(c). Factor g(j).\nAnswer: 4*(j - 7)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c + 32. Let f be k(-5). Let m(h) = 14*h - 132. Let i be m(f). Sort 1, i, 2 in ascending order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 11) to base 3.\nAnswer: 21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 97*k**2 + 372*k + 22. Calculate s(93).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12 + (-11 - -28))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**3 - 1871*p**2 - 143*p - 33. Determine a(144).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + j - 2. Let l be n(3). Suppose -4*s = -4*u - l, -3*u - 2*s - 26 = -6*s. Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 85. Let f(n) = 2*n**3 - 3*n**3 - n - n**2 - n - 1. Let w be f(-1). What is the closest to -1\/4 in w, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4760 and 11475?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 8 - 7)*(-4*r**3 + 4*r**3 - r**3) - r**3 - r**2 + r**2)*(-7*r**2 - 1 + 1 + 2*r).\nAnswer: -7*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l**2 + 245*l + 18. Let r be c(31). Let p(v) = 2*v**2 - 4*v + 6. Let g be p(9). Let d = r + g. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:33 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -53108000 to the nearest 100000.\nAnswer: -53100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7322608?\nAnswer: 2, 59, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1778*n**2 - 2*n - 20. Let o be y(15). Round o to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * -10526\nAnswer: -2947.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 26*s - 10*s + 293 - 12*s.\nAnswer: 4*s + 355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/((1200\/35)\/(-24)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/814 and -73\/444.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 5260*h - 42 + 2 + 10 as p*h + j and give p.\nAnswer: 5260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211096*z - 211189*z + 2604 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 2*j + 32. Let r be a(6). Suppose -c = 2*y + 3, -r*y + 3*y = 4*c + 15. Let v(b) = 4*b - 2. Determine v(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 13. Let h(a) = -a. Let w(p) = 5*h(p) - x(p). Let i be w(-5). Let q(t) = -t + 2. Let b be q(i). Solve -10 = -b*d + 3*y, 0 = -y + 2*y - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:53 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139848711 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: Is 947 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + p - p + (-4*p + 9*p + 11*p)*(6*p - 4*p - p) - 47*p**2 + 9*p**2 + 20*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13 (b) -1\/38 (c) 18 (d) 369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1109 + -863. What are the prime factors of n?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15880 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 21*k - 16*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/5 + 7*r**4\/5 + 102*r**3\/5 + 254*r**2\/5 + 47*r + 15.\nAnswer: -(r - 15)*(r + 1)**3*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873571.\nAnswer: 13, 297967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49.1 or 1782?\nAnswer: 1782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + q + 4, 7*q = -5*w + 8*q + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117887952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 52646059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 28*l - 198. Calculate p(35).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**3 + 124*q**2 + 641*q + 30. Give p(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 55. Let u be r(-11). What is the remainder when 25\/(-2)*u\/55 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p + 267. Let t be w(-27). Let o(j) = -5*j**2 + t*j**2 - 17*j**2. Let a(z) = -165*z**2. What is o(a(d))?\nAnswer: 54450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-21))\/((-28)\/126).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-17)))**(-1\/4) assuming t is positive.\nAnswer: t**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 18*a + 22 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3424\/61 or -910?\nAnswer: 3424\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 165, 169, 175?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.7562423 microseconds?\nAnswer: 0.000000029270705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 10 = 9*a. Solve 0*c - 10 = c + a*b, 2*c + 13 = -3*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -47.1. Let g = 1.2 + -1.1. Let a = u + g. What is the second biggest value in 0, a, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1.9, -3.7, 2 in increasing order.\nAnswer: -17, -3.7, 1.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/298 and 79\/12.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 1736?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857141 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2. Let p(s) = -s**2 + 37. Determine n(p(r)).\nAnswer: 4*r**4 - 296*r**2 + 5476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*w**4 + 2239*w**3 + 1252*w**2 - 52*w.\nAnswer: 1776*w + 13434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8116 - 8116.4. Let l = 0 + -0.2. Which is the closest to -2\/7? (a) l (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*f + 15*f - 8*f - 8*f.\nAnswer: 112*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10464504 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2578 in -0.2, -5, 338\/7, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**5 - 35*p**4 + 85*p**3 - 85*p**2 + 30*p = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 42 + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 6*o - 5*x - 18, 5*x + 16 = -2*o. Let q(n) = -2 - n**3 - n**2 + 6*n + 2*n**2 + 3*n**2. Let s be q(5). Solve 3*m - o*m = -s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 11 + 49 = 0. Let x = -49996\/21 + 2382. Find the common denominator of (20\/m + 2)*52 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3324 + 152969\/46. Find the common denominator of z and 27\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2*k**2 - k**2 + (-k + 2*k - 2*k)*(4*k + k - 3*k) as o*k + b + z*k**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4503453 or 1?\nAnswer: -2\/4503453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (2 - -3) + (-9 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/7)\/i**29)\/(i\/(i**(-3\/5)*i)*i*(i\/((i*i\/i**29)\/i))\/i))**21 assuming i is positive.\nAnswer: i**(-6168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 600 divided by -40\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267993 is divided by 2223.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-30) - 7464\/(-75840). Which is the second biggest value? (a) 5 (b) f (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 + -2 + (0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/6707, -0.5, 4, -3 in ascending order.\nAnswer: -3, -0.5, 2\/6707, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 24*o**2 + 2*o + 4 + 13*o**2. Let u(z) = 9*z**2 - 5*z - 9. Give -9*s(v) - 4*u(v).\nAnswer: 9*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2404 divide 110100796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/15 - 7*h**4\/6 + 5*h**3\/6 + 53*h**2. Let s be x(7). Calculate the highest common factor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7649868 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*i + 33*i + 66 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 102187 divided by 17\nAnswer: 6011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 3, o: 1, b: 11, w: 3}. What is prob of sequence eroe?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -2*i - 4*o, i - o + 367 = 614 - 294 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/26470773 and 68\/399.\nAnswer: 502944687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14669.\nAnswer: 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145.39 - -152.39. What is the third biggest value in 1\/29, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 9*c - 15. Let d be j(-5). Solve 3*i - d = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 - 14 = 0. Suppose -t = c + 2*s, s + s + 25 = 5*c. Which is bigger: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -21) + -2 - ((-101 - 88) + 112)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12\/1415 - -570173\/8490. Let k = -67 + a. Which is bigger: -2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 - 1368462*h**2 + 2736918*h - 1368458 = 0.\nAnswer: 1, 684229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 3\/977159?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 2. Let k(v) be the third derivative of -v**5\/3 + 1526*v**2. Give u(k(d)).\nAnswer: -400*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*h + 91 - 31 + 126 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(448)\/sqrt(4).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 2.\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -9, 20, 71?\n\"Answer: 11*o**2 - 26*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - b. Let s(u) = -6*u**2 - 10*u - 1. Let h(a) = 4*q(a) - s(a). What is h(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 11:35 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 59535?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2859 - -608. List the prime factors of l.\nAnswer: 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -34*b + 120. Let j(u) = 12*u - 40. Calculate -14*j(t) - 5*q(t).\nAnswer: 2*t - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 2, t: 2, u: 4}. Give prob of sequence nn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -162, -351, -616, -957, -1374, -1867?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i + 1. Let l(a) = -a**2 - 65*a - 15. Let v(t) = -t**2 - 103*t - 23. Let z(w) = -8*l(w) + 5*v(w). Determine -5*r(f) + z(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(52\/(-16) + 3). Find the first derivative of -121 + 35*h**4 + 164 + 3*h**4 - 4*h**c wrt h.\nAnswer: 136*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 72*l**2 + 3*l + 20*l**2 - 3*l.\nAnswer: -52*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/((-60)\/(-4))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12002220120121011?\nAnswer: 12002220120121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/132*4\/(-42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17701431 (base 8) in base 16?\nAnswer: 3f8319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2171 (c) -0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129964349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*s = 11, 5*l + 0*l = -2*s + 26. Suppose -3*u = l*d - 17, -4*d - 2*u + 5*u + 47 = 0. What is the highest common divisor of d and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + d**2 - d + (3*d + d - 2*d)*(2*d + 2*d - 6*d) - 7*d**2 - 9*d**2 + 5*d**2 + 3*d**2 + 3*d**2 - 2*d**2 + (-2*d - 3*d + 4*d)*(5 - d - 5).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29)\/(-9) - 6\/27. Let z be 27\/((-5)\/c + 2). Suppose 5*u - 2*s - 61 = -24, 0 = -3*u - 5*s + 47. Calculate the greatest common divisor of u and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1129*h**2 + 234.\nAnswer: 2258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 3:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*c = -336*c - 45 - 105 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7. Let y be (1 - 0)\/p - -6. Solve -j + 16 = -y*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 69, 5, 78, -0.5, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*d - 271*d - 51 - 423)*(2 - 4 + 1).\nAnswer: -d + 474","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1346 - 1830 - 3268*l + 665 - 9407 + 15873*l with respect to l.\nAnswer: 12605","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/sqrt(5))\/sqrt(7) - (0 + sqrt(5) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -27, 4.\nAnswer: -27, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -468 - -472. Suppose 3*u - 4 = -13. Let f = -0.073 + 2.073. Which is the closest to f? (a) g (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:21 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96195780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 5\/(-20)*0. Let j(l) = -4*l + 1. Determine j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.588394ml in litres?\nAnswer: 0.000588394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -87*l + 10. Let j be o(-6). Suppose -t - 3*t + j = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n + 651*n + 45*n + 42*n + 39*n - 805*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454 + 306 = 76*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -133*r + 3. Suppose -2*n - 30 = 4*n. Let i be l(n). Suppose 0 = -y + b + i, b - 453 = -y + 225. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 4) to base 9.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12\/251, 21, -1\/6, -0.16, 42\/5?\nAnswer: -12\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/8 - 4)*(-6 - (-32)\/6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 17*b**2 + 8*b - 7. Let v(j) = 2*j**3 + 9*j**2 - 4*j + 4. Let x(w) = -3*t(w) - 5*v(w). What is the tens digit of x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((-3)\/4)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925 is divided by 146.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7490?\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/11 (b) -1344.614 (c) 8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 - 95?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k**2\/11 - 202614*k - 2228760\/11 = 0 for k.\nAnswer: -1, 371460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*h + 289*h = -3*f - 27, -5*h = 4*f + 40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 789.613371 rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54554349947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 16 + 65 = 0. Let f be 40\/18 - (-6)\/x. Solve -2*w - f*c + 7*c = 0, w = -3*c - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 + -1 + 0 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(61 - 61 + 11*p)*(-6 + 9 + 8).\nAnswer: 121*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 27444225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -22.4 and 12982849730.\nAnswer: 12982849707.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, 1 o, and 1 y when four letters picked without replacement from zzozypp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29458 and 1716?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-27) + (-728)\/117?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 1246624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - (13 - 4 - 15). Put 63, s, -1\/8, -1\/4, 10 in descending order.\nAnswer: 63, 10, -1\/8, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 200.94873 months?\nAnswer: 1.67457275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u - 2. Let p(h) = -h**2 - h + 1. Let n(s) = -b(s) - 6*p(s). Let r(v) = -27*v**2 + 15. Give 15*n(i) + 4*r(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -1\/3*s**4 - s**2 - 1\/2*s**3 + 0 - 3\/20*s**5 - 41*s. Give v(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -4615046.\nAnswer: 1846018.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -3)*(-15)\/(-30). Sort 6, -2, 4, s.\nAnswer: -2, s, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 365694 and 420.\nAnswer: 3656940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8027465*s**5 - 41*s + 1205.\nAnswer: -160549300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5*p**2 - 17*g**2*p**3 - g*p**3 + 3*g*p**2 - 10*p**3 wrt g.\nAnswer: 40*g**3*p**2 - 34*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -723, -1209, -1481, -1533, -1359, -953, -309, 579?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, r: 2, w: 2, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/36747388 and 5\/73494776.\nAnswer: 73494776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2 - (-12)\/6. Suppose 2*b = 4*f - k*b - 14, 3*b - 3 = -2*f. Solve f*d - 2*a - 15 = a, -d = a + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 less than -206567006?\nAnswer: -206567055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5548062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3465 divided by 21\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6886 + 34319\/5. Let c = s + 383\/15. Is 2 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 6)*((-1144)\/1232 + (8\/7)\/(-2))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 2*d)*(36 - 36 + 12*d**2).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3 - 4)*(-220 + 238)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21499.86 decades?\nAnswer: 214998.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4292)\/(-10) + 182\/(-910) is divided by 61?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -119641 and 329512500.\nAnswer: 329392859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 + j**3 + j + 0*j**3 - 2*j**3 - 7*j**2. Let y(v) = 6*v**3 - 3*v**2 - 3*v - 11. Let b(t) = -3*l(t) - y(t). Differentiate b(i) with respect to i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j. Let c(k) = 20*k - 3. Let r(o) = 44*o - 8. Let l(p) = -11*c(p) + 4*r(p). What is y(l(a))?\nAnswer: 132*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 1845 (c) -23 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4355 + 4355 + 3*q**2 + 2*q**2 - 6*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 12 = 2*k - q, 24 = 4*k - 4*q. Solve -k*n - 6 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 213?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/73, -4, 3, 17 in descending order.\nAnswer: 17, 3, 2\/73, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.25 (c) 2\/1537 (d) 6 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -0. Suppose -d + s + 4 = 0. Suppose -m - 3*m + 6 + 3*m**2 - d*m**2 = 0. What is m?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -22. Let s(f) = -1829998*f + 20. Let z be s(q). What is z rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -697\/5. Suppose 0 = -5*m + 3*m - 52. Let b be 10\/m*4\/(-10). What is the nearest to 0.2 in b, -1\/2, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*((0 + 0 + l)*(-7 + 0 + 14) - 3*l - 2 + 2).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:37 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*s + 7*s - 14*s.\nAnswer: -10*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493932?\nAnswer: 2, 3, 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*1 + sqrt(24))*1 + (sqrt(1944) + 2*sqrt(1944) - sqrt(1944)))\/((sqrt(384) + sqrt(384) + sqrt(384)*1 - sqrt(384))\/sqrt(3)).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 - 10?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220202020 (base 3) to base 4.\nAnswer: -10121322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(-27) + 13\/(104\/16)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1583, 932, 301, -316, -925, -1532?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 1. Let j be r(5). Let d(s) = -1215*s - 4849. Let w be d(-4). Solve -3*o - j = -w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1581\/14229)\/(24\/(-27))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-286)*91*((-6)\/4)\/1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 + 1 = 0. Suppose -15 = -5*n + 5. Solve -n - s = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**2 + 501*t - 6835. Let a(s) = -9*s**2 + 497*s - 6842. Let g(r) = -4*a(r) + 3*u(r). What is the first derivative of g(w) wrt w?\nAnswer: 18*w - 485","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 14*g - 38. Let i be o(-10). Solve -4 = 4*z - 2*s - i*s, 0 = -5*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -9\/8*c**4 + 0*c + 0 + 0*c**3 + 17*c**2. Let l(z) = z. What is l(s(a))?\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose -4*j + 3*i = 25, -j - j = -z*i + 5. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2694\/225 + (-2)\/(-35) + 250246\/(-20755)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 11*o - 19. Let n be m(9). Let x = -35 - n. Factor -x*s - s**2 - 7*s + 4*s**2 + 10*s.\nAnswer: s*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 613*a**2 - 37 + 559*a**2 + 1054*a**2.\nAnswer: 2226*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = -12*a - 9*t - 44, 0 = -3*a - 2*t - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/4 - 3*g**3\/2 + 15*g**2\/4 + 9*g\/2.\nAnswer: -3*g*(g - 2)*(g + 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12050 and 9150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 - 2*n**2 + 5*n**2)*((6 - 2 - 1)*(1 - 2 + 3)*(85 - 185 + 80) - 2 - 1 - 2) in the form f + x*n + u*n**2 and give u.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/8 - -7 - 526922\/4456\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.3054 millennia in decades?\nAnswer: 55830.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -461 equal to -458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 - 13320*u**2 + 581724*u - 6382992 = 0. What is u?\nAnswer: 22, 4396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/81 and -29\/243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 17 + 1598*v - 3507*v - 3039*v to the form u + y*v and give y.\nAnswer: -4948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 994 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13552 + -42?\nAnswer: 13510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 17*j**2 - 18*j + 30. Determine h(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:08 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((39\/4)\/(-13))\/(3*-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (89 - 32) + -69 - -19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.15, 0.2, 1323\/8?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1999, -1, 0.3, -0.02, 1\/4, 0 in increasing order.\nAnswer: -1999, -1, -0.02, 0, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.31 - -0.69. Let o = 6 + -5.8. Sort a, 3, 5, o in ascending order.\nAnswer: o, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/1073, -4, -0.3?\nAnswer: 2\/1073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 75*d - 221. What is the tens digit of o(-41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8161320771 and -11.\nAnswer: 8161320760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**4 + 4*x**3 + 7*x**2. Let d(u) = -10*u**4 + 9*u**3 + 14*u**2. Let b(j) = 4*d(j) - 9*r(j). What is the third derivative of b(z) wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51332734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.036367179 - -11.536363879. Let w = v + -11.5. What is w rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(-2*sqrt(180) - sqrt(180))**2*-3 - ((sqrt(5) + sqrt(5)*1*-3 + 2)*-3)**2).\nAnswer: -14798 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 4*v**2 - 6*v - 1. Suppose -9*w + 6*w = 117. Let d be w\/8 - (-14)\/(-112). What is the tens digit of a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -10*a**2 - 1\/12*a**4 + 1\/2*a**3 + 0 + 2*a. Determine s(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + -1009. Suppose -2*r = 3*m + 3*r - 61, -2*r = -10. What are the prime factors of (-14)\/(-84) - n\/m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 - 0 - (-123 + 118) - (1 - (5 + -4))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.12, 3\/8, 0.32, 4, 0.01, -2, -13?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*d**2 + 3)*(5 + 0 - 3)*(2 - 30 - 25).\nAnswer: -212*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 6*f**2 - 43 + 5*f**3 - 9*f - 48 + 91.\nAnswer: 3*f*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -b0?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h - h**2 + 7*h + 3*h**2 - 3*h**2. Let j be i(5). What is the greatest common divisor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 832070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181.9 + 174. Let t = -8.2 - f. What is the third smallest value in t, -0.1, -28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 5*g - 19 - 14 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 2381*g + 6 + 9*g**2 - 2381*g. Let c be b(-5). Does 10 divide (-2)\/(8\/c)*(-9 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/7)\/m**0)\/(m*m*m\/(m*m**(1\/7))*m*m\/(m*m**(-7\/5)*m)*m*m*m))\/((m*m**(-2\/7))**10*(m**(-2\/7))**44) assuming m is positive.\nAnswer: m**(-9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(44\/(-198)*(-4)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982, 3624, 7926, 13882, 21486?\nAnswer: 30732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/17, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -10*u. Let x(o) be the second derivative of o**6\/180 - 4*o**3\/3 - 5*o. Let j(t) be the second derivative of x(t). Calculate i(j(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 227*a - 111*a - 4 + a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33266105?\nAnswer: 5, 6653221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321240*h**4 - 63*h**2 - 4358082*h.\nAnswer: 3854880*h**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011000 + 11?\nAnswer: 11011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -48.7. Let f = -267\/5 - -54. Put 0.5, f, g in descending order.\nAnswer: f, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**3\/3 - 2*o - 5. Let b(y) = 162*y - 1. Give b(z(u)).\nAnswer: -324*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 6.4. Let t = n - 3. Let h = -0.8 + t. Which is the smallest value? (a) 4 (b) 4\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + -5)\/(3 + -2). Suppose 5*g - c*g + 3*o = 18, -108 = -5*g + 3*o. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43746 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) -4 (c) -4\/19 (d) -1171 (e) 16\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 4. Let f be (35\/(-2))\/(-5) + 4\/8. Give g(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/90*(-20)\/84*9*-28?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -21. What is the second derivative of 17*l**t - 21*l**2 - 13*l + 12*l**2 + 9*l**2 wrt l?\nAnswer: 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 456*i**3 - 46*i**2 wrt i?\nAnswer: 2736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62924375?\nAnswer: 5, 83, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 + 1.77. Let b = l + -0.27. Let s = 60 - 60.04. What is the second smallest value in b, s, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 448*u*y**4 - 761*u - 2*y**4 + 4 wrt y.\nAnswer: 1792*u*y**3 - 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 835, -2\/11, 128?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 - 108*m + 111 = 0 for m.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9 - 9 + 26 + 54*t. Let o be d(8). Suppose u - 4*x = -2434 + o, -5*u + 5*x = 10030. Round u to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 8*j**2 + j - 6. Let g be o(8). Solve 4*l - 5*q = -14 - 6, g*q = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p. Let q(y) = -264602*y**2 - 1. Give q(o(m)).\nAnswer: -4233632*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -3*x - x, -2*x - 20 = -5*r. Let s = 8.7 - 6.7. Which is the second biggest value? (a) x (b) -0.3 (c) -5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000305 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/2? (a) -5 (b) -3\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:05 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -16.7.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -d + 3*d. Let w = d + 163. Let i(n) = -n**3 - 6*n**2 - 4*n + 2. Let b be i(-6). What is the highest common divisor of b and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 - 4*r**4 + 4*r**4 + (2 + 1 - 5)*(292*r**2 - 292*r**2 - 3*r**4))*(21 - 21 - 11*r) - 3*r**3 - 2*r**5 + 3*r**3.\nAnswer: -57*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.98 - 0.02. Let x = -455 + 458. What is the third biggest value in 5, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 0*r)*(1 - 3 + 0)*(15 + 3 + 3).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.34 - 1.3. Let q = 0.04 - n. Let u = 0.2 - 0. Which is the third biggest value? (a) q (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - w - 8580 = -30*w. Calculate the least common multiple of 550 and w.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 5*y**2 + 5*y - 6. Let r(l) = -2*l - 12. Let q be r(-8). Suppose b + 5*k = 14 + 8, 0 = -b - q*k + 18. Let c = b - -2. What is x(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-4 + (-63)\/(-15))*-10. Suppose -2*r + f = -b - 6*r, -3*b + 2 = -2*r. Solve b*d = -4*a + 4*d + 24, a - 4*d = 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -10 + 10 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eooeuooeee. Give prob of picking 1 u and 3 o.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*h + 3207 = 445, -4*n = 4*h - 3704. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -582.9 and 0.2.\nAnswer: -116.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 28 - 1534*w + 6215*w)*(7 + 21 - 2) as r*w + q and give r.\nAnswer: 121706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -74*p**3 - 17*p**2 - 43. Let q(n) = -25*n**3 - 6*n**2 - 14. Let o(d) = 17*q(d) - 6*z(d). What is the first derivative of o(y) wrt y?\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/7, 2\/7 in descending order.\nAnswer: 2\/3, 2\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 0 - (-50 - (-3 + -38))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2 + 2. Let t(i) = -6*i**2 + 1. Let z(x) = 4*j(x) - 7*t(x). Let h(g) = 2*g**2 - g + 1. What is 7*h(n) - 6*z(n)?\nAnswer: 2*n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 6*x + 1. Let i be j(6). What is the highest common divisor of i and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10422 is divided by 945.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (491 - 6603296\/13448) + 181\/697 + 0\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-40)\/12. Let t(b) = -b**2 - 1. Let w(n) = n**3 + 6*n**2 + 3. Determine f*t(h) - w(h).\nAnswer: -h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44 + ((-1537)\/(-53) - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11278 + -11188. Calculate the remainder when 662 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = s - 1, 2*z = 10. Solve 0 = 3*u - 4*x + 2 - 3, s*u + 3*x + 32 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -2*h + 105. List the prime factors of h.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719 = 68*v + 3371. Which is greater: v or -40?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/40 + i**4\/8 + i**3\/6 - 2*i. Let k(t) be the second derivative of z(t). What is the first derivative of k(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82186 + 132654. What are the prime factors of x?\nAnswer: 2, 11, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 24 = 0. What is the lowest common multiple of r and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 905*w**4\/12 - 13*w**3 + 4*w**2 + 5*w - 140. Find the second derivative of q(t) wrt t.\nAnswer: 1810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/600 and -103\/5824.\nAnswer: 436800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1)\/s*s**5*(s\/s**(-3\/4))\/s**(1\/2))\/(s*s\/(s**(-3)*s)*s*s*s*s**5*s**(-2)*s*s**(-1\/10)) assuming s is positive.\nAnswer: s**(-73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 6, k: 1, a: 6, j: 1}. Give prob of picking 1 b and 1 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 3, s: 1}. What is prob of picking 3 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*a + 2)*(3*a - 3*a - a**3) + a**3 - 6*a**4 + 0*a**3 + 3*a**4.\nAnswer: -5*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 3\/((-3)\/11). Let z = 15 - m. Let r = z + -2. Solve r*j - 10 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3828 - -15391\/4. Let v = -224 + -1211. What is the common denominator of v\/(-200) - 2\/(-10) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -2*z - 44, -3*z - 32 = 3*j - 2*z for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 305108 (base 9) to base 8\nAnswer: 541221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h - 23. Let o be d(-6). Let z(f) = 3*f + 1 + f**2 + 4 + f - o*f. Is z(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 11*k**2 - 14*k - 11. Let b be i(10). Let d = b - -158. What are the prime factors of d?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 142?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 148728921 and 5?\nAnswer: 148728916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11694\/(-3)*(1 + 6\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1194.8 (b) 1\/9 (c) -7 (d) -3\/5 (e) -0.5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3375, 3351, 3323, 3291, 3255, 3215?\nAnswer: 3171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(-1\/3)*q)\/q)**(-1\/8)*(q\/(((q*q*q**4)\/q)\/q*q))\/q**12 assuming q is positive.\nAnswer: q**(-389\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14211078646701 and -0.2.\nAnswer: -14211078646701.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -215175*k**5 - 2*k**3 + 14464*k**2 + 13*k + 2 wrt k?\nAnswer: -12910500*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 9:23 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -4075793 = -4075792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 39 + 127*y + 111 + 15*y**2 - 39.\nAnswer: 15*y**2 + 127*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 26*n + 42. What is the remainder when t(5) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, -3, 80, -0.1, 1\/3.\nAnswer: -3, -0.1, 2\/33, 1\/3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40695*q**2 - 103324565*q + 101560 = 0 for q.\nAnswer: -2539, 8\/8139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 64. Let v(i) = -2*i + 63. Determine 4*v(z) + 3*y(z).\nAnswer: -2*z + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182.205406 - -182.2. Round s to 4 decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17c + 3?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -4 + 0*n + 16*n**2 - 2\/225*n**5 - 1\/60*n**4 - 1\/900*n**6 + 0*n**3. Factor x(i).\nAnswer: -2*i*(i + 1)*(i + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 + 136. Let r be q\/(-8)*176\/66. Suppose 0 = o + o - 2. Solve -r*d - 7 = o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7224 and 4006912.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 6*n + 2. Let f(h) = 2*h + 3. Let v be f(6). Suppose -j - v = 3*l, -2*j + 27 = -4*j - 5*l. Let a be x(j). Let b(y) = -4*y + 3. Determine b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58799 - -2057507\/35. Which is smaller: m or -12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15407554.\nAnswer: 2, 41, 187897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2046, 7\/10, -0.25, -3 in increasing order.\nAnswer: -3, -0.25, 7\/10, 2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/169, 0.1, 21\/59?\nAnswer: -3\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -0.4 (c) 30.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0859528 rounded to 4 dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*o - 276, -86 = -5*t + 5*o + 204. Let z = t - 54. Factor 0 + 0*v + 0*v**z + 0*v**3 - 3\/5*v**5 - 6\/5*v**4.\nAnswer: -3*v**4*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2504*v + 388*v + 1246*v - 2773*v.\nAnswer: -3643*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 - x + 8. Suppose 52 + 86 = 6*z. Suppose 0 = 4*w - 1 - z. Give r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h - 2. Let m(o) = 7*o + 3. Let d(s) = -3*m(s) - 2*q(s). Let v be d(-15). What is the greatest common factor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 494720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 17*d**4 - 114*d**3 - 156*d**2 - 40*d = 0. Calculate d.\nAnswer: -2, -1\/3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let f = -21 + 20. Put w, f, 4 in descending order.\nAnswer: 4, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2135 (base 6) in base 8?\nAnswer: -753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 24. What is y(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259289 + 189148 - 34959 - t**3 + 2*t**3.\nAnswer: t**3 + 413478","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.76 - -0.8. Let m = -7 - -19. Let b = m + -15. What is the second smallest value in 2\/13, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 0.63. Let s = -0.4 + j. Sort s, -0.13, 0 in descending order.\nAnswer: s, 0, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Suppose h - 6 + 4 = n. Calculate the highest common factor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 3:16 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7132.293mg to grams.\nAnswer: 7.132293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/58145164 and 157\/47573316.\nAnswer: 523306476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2315 - 11121125?\nAnswer: -11115510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6 = -9*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16582, -16435, -16250, -16009, -15694?\nAnswer: -15287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 2. Let a(o) be the third derivative of -o**5\/60 + 5*o**4\/8 + 6*o**3 + 1784*o**2. Let u be a(l). Which is smaller: u or 37?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 8*n**2 - 16*n + 3. Let h be x(-4). Suppose h*l - 684 - 63 = 0. Calculate the remainder when l is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130227 and 147486?\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57537, -113758, -169979, -226200?\n\"Answer: -56221*k - 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as 750\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 + 50*x**3 - 261*x + 524*x + 207134 - 263*x - 207134.\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*t + 94*t + 196*t.\nAnswer: 409*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 3*o. Let p(s) = -2*s**2 + 3*s + 1. What is 3*b(l) + 2*p(l)?\nAnswer: 2*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 17*v**3 + 9*v**3 + 0*v**3 + 8*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -3 + 8 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 + h + 23. Calculate o(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 253.8 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 572 = -2*q - 4*w, 5*q - 5*w = 1420. Let t be 1 + -3 - (-5898)\/(-21). Let i = t + q. Calculate the common denominator of 20\/11 and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3164045 - -3?\nAnswer: 3164048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400347 is divided by 940?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4526801 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:31 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.67737711 and 7778.\nAnswer: 7777.32262289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26903 + -20635. Does 90 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12724793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 7*n**2 - 169*n + 2720. Give m(9).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Suppose 0*h + 39 = f*h. Suppose 2*o - o = 3. Solve -o*d + 5*b + 22 = 0, b = -3*d + 5 - h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000714192 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:43 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 2*k**6\/45 - 126*k. Factor p(w).\nAnswer: 4*w**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 - 9*g + 8. Let s be f(6). What is the highest common divisor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21855709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -70*z + 68*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2720 = -48*l + 43*l, -4*s + 2155 = -l. What is the remainder when s is divided by 103?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*s**2 + 0*s + 0*s - 320*s**2 + 21*s**3 + 439*s**2 - 64*s**2.\nAnswer: 21*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 7*g - 22*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2013 and 1.\nAnswer: 0.2013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 + 143. Let r(m) = 2*m + 16. Calculate the remainder when 22 is divided by r(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 5*s - 21. Suppose 0 = 3*r + 21 + 6. Let p be m(r). Calculate the greatest common divisor of p and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 12*q**2 - 11*q + 3. Let r be k(11). Which is the second smallest value? (a) -1\/2 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -998*x = -982*x - 64. Suppose 4*m = 24 - 8. Solve x*t = m*f + 16, 4*f + 17 = 3*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/528 + 498\/(-66)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 + j - j)*(0*j - 12*j + 5*j)*(-j - 3*j + 2*j).\nAnswer: 56*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12535989?\nAnswer: 3, 23, 97, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 382\/(-4) - ((-152)\/16 + 8). Let g = 122 + m. Calculate the remainder when 105 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 8417.\nAnswer: 54\/8417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/(5075\/70)*38*2\/(-8)*2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + g - 1873 + 204, -2*g + 836 = 2*v. What are the prime factors of v?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzzezhhzhhhehz. What is prob of sequence zhze?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + w + 2070 = -4437, 5*w = 3*q - 4859. Does 74 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3*k**2\/2 - 4*k + 367. Give f(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -462, 5, -2.\nAnswer: -462, -2, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*w + 1290, 5*w = 3*s - 929 + 139. Calculate the remainder when s is divided by 132.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5\/4 + 12*q**4 - 375*q**3\/4 + 221*q**2\/2 - 30*q = 0. What is q?\nAnswer: -15, 0, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -957 divided by -319\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (6 + -14) - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2*(-4)\/(-32)). Let t(d) = 14*d + 7. What is the tens digit of t(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7*f = 4*f + 52, -3*c - 4*f = -46. What is the greatest common divisor of 200 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*p**2 - 10*p**3 + 11*p**2 - 2*p + 58*p**3 + 27*p**3 wrt p?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njrb when four letters picked without replacement from rjjabnrbk.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573070?\nAnswer: 2, 5, 17, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 2. Let w be p(1). Let h(b) = 11*b**2 + 10*b**2 - 19*b**w. Let x(s) = -11*s**2 + 3*s. Calculate x(h(r)).\nAnswer: -44*r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10652 greater than or equal to -10652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*j - 3*k, 255*j - 256*j - 7*k - 4*k = 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 10. Suppose k*c - 5*a = 15, c - 2*a + 19 = 4*c. Let w = c + 80. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364162804 divided by -4\nAnswer: 91040701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 9:12 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 9. Let k be l(10). Suppose 5*u + k = -4. List the prime factors of ((-27)\/u - 3)*5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 5*a + 204. What is f(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/19)\/n**(-1))\/(((n\/(n\/((n**(2\/25)\/n)\/n)))\/n)\/(n*n\/(n\/n**(-2\/7)))))**(-45))**(-8\/5) assuming n is positive.\nAnswer: n**(1084248\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 21 = 983*d - 988*d, 0 = -k - 4*d + 2*d + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56667 by -35.\nAnswer: 56667\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*w + 112, 0 = 2*h - 2*w - 3*w - 44. Let s be (h\/12)\/(4\/6). Suppose s*y - 2167 + 387 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g**5\/8 + 27405*g**4\/8 + 4025253*g**3\/8 + 89448111*g**2\/8 - 20159280*g - 16971525\/2 = 0. What is g?\nAnswer: -255, -29, -6\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/13 - 13004*o**2 + 507118*o\/13 + 1690460\/13 = 0?\nAnswer: -2, 5, 84523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9383 - 3912. Let d = x - 5494.29. What is d rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 + 2)*(4 + 2 - 4)*(-1180 - 54*r + 1180) as g*r + h and give g.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12741, 51002, 114781, 204084, 318917, 459286, 625197?\n\"Answer: p**3 + 12753*p**2 - 5*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 493542*-5.\nAnswer: -2467710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(((-66)\/(-4))\/(-11))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 229 - 175 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -15. Let h be -62*((-7)\/(-35))\/(14\/10). Let y = h + 179\/21. Which is the nearest to -0.3? (a) y (b) s (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 3256\/2765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 16 + 89*c - 105*c + 14*c.\nAnswer: -2*c + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2049, -2052, -2053, -2052, -2049?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 43165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(((s*s*s*s**(-2\/7))\/s)\/s))\/s)\/s)\/s)**(3\/8)\/((s*s**(-2\/3))\/(s**(8\/3)\/s)) assuming s is positive.\nAnswer: s**(53\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1276 divided by 4\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c - 7. Let d be q(6). Suppose 10 + d = 3*v. Suppose 35 = 4*j - 5*k, 5*k = -j + 4*j - 30. Solve j*f - v = 3*l, 4*l + 0*l + 15 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, b: 1}. What is prob of sequence zb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/16 - (-3)\/4. Is p equal to 12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23226.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*y = 4*p - 312, -y - 27*p - 43 = -3*y + 35*p - 63*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = -4*h + 841, 4*h - d - 859 = 0. Find the common denominator of ((-15)\/(-200))\/(3\/h) and -87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110011101010011 (base 2) to base 7\nAnswer: 1026501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 22 = -8. Let g be (3 - 4) + l - -22. Calculate the greatest common factor of g and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 3. Suppose -4*x - 7 + 27 = 0. Let i(w) = 32*w - 32. Let h(d) = 19*d - 19. Let g(o) = 5*h(o) - 3*i(o). What is x*g(y) + l(y)?\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 16 - 6. What is the second derivative of -724*t**5 + t**b + 760*t**5 - 4*t**2 + 129*t wrt t?\nAnswer: 720*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3, 0 = b - r - 2*r - 22. Suppose -b + 5 = -2*c. Solve -u + c*x - 10 = -4*u, -5*x + 12 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111869*v**3 + 761*v**2 - 2600706*v - 41 wrt v?\nAnswer: -671214*v + 1522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 459 - n - n**2 - 3*n**2 + 17.\nAnswer: -4*n**2 + n - 442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194606, 194937, 195268, 195599, 195930, 196261?\nAnswer: 196592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7620.8 - -7540.597. Let t = -0.203 - x. Is 0 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 68859*q**2 + 2204510*q + 65. Determine h(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 3\/4 (c) -937 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p**2 - 4*p - 8. Determine b(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2*l**2 - 6*l - 1. Suppose 504*s - 96390 = -94878. Determine p(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g - 8 = 44*g, 14 = -4*y + 3*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 6*y**2 - 6*y - 1. Let n be (-60)\/((-2 + -1)*(-1)\/10). Let a = n - -219. Calculate the remainder when l(-4) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67768*f*r**3 + 2*f*r**2 - 2*f*r - 7*f - 19*r**3 + 565*r**2 + 15 wrt r.\nAnswer: 406608*f - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y - 76. What is the remainder when 1033 is divided by g(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 26*k**2 + 76*k**2)*(-4*k + k**2 + 4*k)*(2 - 5 + 1).\nAnswer: -94*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*q**3 + 4 + 8 - 3 + 2*q + 34*q**3 to w*q + l*q**2 + v + x*q**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x**5*x))\/x)\/x)\/(x*x**(-3)\/x))\/((x*x**(-1))\/x*x*x**(3\/4)))\/((x**1*x)**(-13\/5)\/((x**5\/x)\/x*x\/x**3)) assuming x is positive.\nAnswer: x**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/3)*h))\/(h**(3\/5)*h))\/(h\/(h*h\/(h*h**(-2\/13)))*h\/h**(2\/19)) assuming h is positive.\nAnswer: h**(-9908\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*p = -84 + 84. Solve 24*v - 53*v - 29 = p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 11 + 5 = 0. Suppose -u + 5*a - 2*a - 7 = 0, -v*u + 3*a - 55 = 0. Let z = u + 26. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.27565 to three decimal places.\nAnswer: 7.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 13957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19b3 - 28459?\nAnswer: -26776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5812421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Suppose r*t - 2 = 3*t. Let q be (-2 + 1 - t)\/(-1). Which is smaller: q or 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 47*b + 272. What is w(-39)?\nAnswer: -1561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*g**3 - 13*g**3 - 12*g**3)*(7*g + 10*g**2 - g - 9*g**2).\nAnswer: 6*g**5 + 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:18 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475654 is divided by 7550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 15 = 9*d. Suppose -5*v + 8 = -4*w, -3*v - 3*w + 18 = -d. Suppose v*z - 9*z + 150 = 0. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 637813.4 to the nearest 100.\nAnswer: 637800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*w + 17, -3*w - 5*d = -w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 10*x**2 + 10*x + 10. Calculate the remainder when q(10) is divided by (-1)\/(-5) + 1\/(40\/1512).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 156255, 312759, 469525, 626559, 783867?\n\"Answer: b**3 + 125*b**2 + 156122*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 - 5*r + 2. Suppose -2*p + 12 = -4*p. Let y(h) = -7*h**2 + 4*h - 2. Give p*y(z) - 5*v(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/25 (b) 0.04 (c) 0.09 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((21 - 28) + (1 - -1 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -27*n**4 + 1789515*n**3 - 79281291*n**2 - 53450703*n - 8941590 = 0.\nAnswer: -1\/3, 45, 66234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329864 or -329865?\nAnswer: -329864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*t**2 - t - 33*t**2 - 29*t**3 + 89*t**2 + 3 - 30*t**2 + 67*t**3 to the form b*t + l*t**3 + j + k*t**2 and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z. Let m = z - -219. Let n = m - 128. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6726*1\nAnswer: 0.6726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1505*n - 195. Let k(i) = 1506*i + 243. What is -4*k(z) - 5*p(z)?\nAnswer: 1501*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 9, 2*l + 2*y + 2437 - 83001 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -321, -346, -385, -444, -529, -646, -801?\n\"Answer: -b**3 - b**2 - 15*b - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/10)\/(-3))\/(2\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 28. Let k = z - 4. Let u = 0 + 0.1. Which is the biggest value? (a) 2\/9 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*j**2 + 45*d*j - 164822*d - 6*j**2 - j wrt j?\nAnswer: 4*d*j + 45*d - 12*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 4. Suppose 0 = l + l - 2*f + 4, 0 = f. Suppose -403*s - 21 = -400*s. Let n(m) = 13*m + 12. Give l*n(z) + s*p(z).\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 2*k + 84. Suppose -21*o + k*o + 385 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 169*f - 24. Let r(z) = -4*z**2 + 338*z - 44. Determine 6*r(x) - 11*y(x).\nAnswer: -2*x**2 + 169*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + u - 7 = 2*f, 3*f - 2*u = 19. Let t(z) = -f*z - 2 + 2 + 2*z. Let g(w) = -18*w**2. Give t(g(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-6)*t)**(-2\/151))**46)**(3\/32) assuming t is positive.\nAnswer: t**(345\/1208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 137 = -52. Let q = d + -14. Let -108*x**2 - 8 - 81\/2*x**4 + 48*x + 108*x**q = 0. What is x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 - -2) + 6)\/(2\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, q: 2, y: 1, x: 4}. What is prob of sequence qqyf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-6)\/(-4)). Let x be -15 - (7 + -12 - 2*-5). Let i = -1\/37 + 77\/111. Put x, h, i in ascending order.\nAnswer: x, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 4 = -o. Let c be 37\/5 - 14\/35. Let r = c - 7. Solve 5*k - o = -2*z, 3*z + k + 3 = -r*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 203693?\nAnswer: 203686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 + 4*g - 4. Give v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111102212032333 + 3?\nAnswer: 111102212033002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 5. Suppose 0 = r*i - 18 - 22. Suppose 5*g - g - i = 0. Solve 8 = -0*z + g*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -114241, -453536, -1019027, -1810714, -2828597, -4072676, -5542951?\n\"Answer: -113098*b**2 - b - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*d*t**3*y - 144*d*t*y + 168*d*y - 10489*t**3*y + 36*t**3 - 13*t**2*y - 2*t**2 wrt d?\nAnswer: -7*t**3*y - 144*t*y + 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 76 = -12. Are r and 9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(270) + (sqrt(270) + 1*sqrt(270))*6)\/(sqrt(1000) - (sqrt(1000)*-1 - sqrt(1000))).\nAnswer: 2 + 13*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 - 74. What is the remainder when v is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 88.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 23, 3, 0.1, 4, -5 in descending order.\nAnswer: 23, 4, 3, 0.1, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.19 + -0.81. Which is the smallest value? (a) 4\/7 (b) 0.3 (c) r (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 14*m - 3. Let i(t) = 407*t - 88. Let o(q) = -3*i(q) + 88*u(q). What is the tens digit of o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 2*sqrt(891) - sqrt(891)))**2 - ((-1*sqrt(99) - sqrt(99))**2 + sqrt(99) + sqrt(99) + (2*sqrt(22)\/sqrt(2))**2 + sqrt(11) + 1).\nAnswer: 281*sqrt(11) + 13831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 2*u + 4*u + (0 - 4 + 3)*(-4 + 2 + 4)*(-u + 3 - 3) to i*u + m and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.311 + -40.311. Which is the third smallest value? (a) d (b) -4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.021?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*c - c**2 - 35 - 89*c - 2*c**3 + 0*c**3 to q*c**3 + z*c + g*c**2 + n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 14*h**2 + h - 14. Let u be q(14). Suppose u = -40*b + 38*b + 310. What are the prime factors of b?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(1900)*-4 - sqrt(1900)) + -3)**2 + (5 + -4 + sqrt(1900) + sqrt(1900)*1 + sqrt(1900))**2 + 2.\nAnswer: -1500*sqrt(19) + 1301512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - 388*g - 215. Is x(-115) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340410444515 take away 2?\nAnswer: 340410444513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j + 9. Suppose t + 5 = 2*v, 5*v + 4*t = -7 - 13. Let x be w(v). Suppose 332 = 4*n - 2*c, -2*n + 157 = -2*c - x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/800)\/((-53)\/(-1696)))\/((-16)\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-572)*13*(-3)\/((-18)\/(-20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = 165*w - 1277. Solve -3*h = -2*o - 15, 5*h - w*h + 12 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 - 7116*r**2 - 28528*r = 0.\nAnswer: -4, 0, 1783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 322*k - 70. Let u(o) = 14*o - 3. Determine 70*u(z) - 3*x(z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 534 - 540. Which is the second smallest value? (a) j (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 28*y**2 + 48*y + 51. What is the hundreds digit of p(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2036 = -3*f + 853, 4*z - 2*f - 2298 = 0. Let g = -403 + z. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 949*v**3 - 14*v**2 + 12*v**2 + 47*v**3 + 3*v. Is m(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 76*p + 225. Determine v(-20).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62d6b (base 14) to base 6.\nAnswer: 5040431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2571.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/272 - 18\/(-16).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 1541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)\/(r**(-2\/11)*r*r))**(-6\/5) assuming r is positive.\nAnswer: r**(108\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 149. Solve -4*p = 5 - w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1262 = -3*n + 12*t - 17*t, 2 = -2*t. Let i = n - -1271\/3. Suppose 4*k - 2\/3*k**2 + i = 0. What is k?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 3, r: 13}. What is prob of picking 2 n and 2 r?\nAnswer: 39\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 8 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:34 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6 = -4*k, 0*k - 9 = 2*k - d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.066399 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4590*c**3*h - 4319*c**3 + c**2 + 6*c + 46*h + 3 wrt h.\nAnswer: -4590*c**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - l - 3)*(-4 + 0 + 3)*(-1 + 2 + 0) - 2*l - 5*l + 3*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5613090, 11226183, 16839276, 22452369?\nAnswer: 28065462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(208) + (sqrt(208) - (4 + sqrt(208))) + sqrt(208) - sqrt(208)))**2 - (sqrt(1300) + (sqrt(1300) - (1 + sqrt(1300)*1) - sqrt(1300)))*6.\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2331*y**2 + 53*y + 27. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249 + 503. Let h = y + -254.11. Which is greater: h or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -234*i**2 + 2*i - 8. Let l be f(-4). Let z = l - -41403\/11. What is the common denominator of z and -7\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 722.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.045029 millilitres in litres?\nAnswer: 0.004045029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(56\/(-80)*-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*f**2 + 2 - 6 - 3 + 2 + 1 to i*f**2 + l + q*f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8874 take away -0.012019511?\nAnswer: -8873.987980489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7259819.\nAnswer: 7, 43, 89, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 291 and 170361973.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539393*j + 539392*j - 10 + 10.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -102 - -100 - (2\/(-3) - 868\/630). Let q(t) be the first derivative of 2\/27*t**3 + 0*t**4 + 0*t + 0*t**2 - b*t**5 + 18. Find p such that q(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (432*i**4 + 425*i**4 - 867*i**4)*(-2 + 1 - 1).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 3*l + 23, -3*q = 3*l + 9. Suppose -3*h = u - 2*u + 5, -q*u = -h + 5. Is 3 - (-50)\/(-2 - h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2958 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + k - 1. Let o(i) = -4*i**2 - 107*i - 1. Calculate -d(n) + o(n).\nAnswer: -2*n**2 - 108*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) 0 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3266850 and 152453.\nAnswer: 22867950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488 - 5803 = 362*v + 242*v + 2329 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 * -23\nAnswer: -5.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1.3, -2\/67, 5 in ascending order.\nAnswer: -2\/67, 1.3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.9? (a) 0.05 (b) 5 (c) -0.9807 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/258)\/(39\/26). Which is bigger: b or -2.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6864 and 109868?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*m + 57, 0 = -w + m + 12 - 0. What is the remainder when w is divided by 3 + -1 + 6 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9)*30\/2. Let h(j) = 2*j**2 - 2*j + 1. Let f be h(3). Let i = f - b. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1160267*0.2.\nAnswer: -232053.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50387 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3)\/(-6)*(77\/7 + -6). What is the third biggest value in -3, q, 1\/6, 75?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 17 - ((124 - 139) + (1 - -19))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - f - 47245883 = -169645885, 0 = 5*m + 5*f + 152999990. Round m to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 2. Let n(w) = -14*w - 6. Suppose 4*c + 18*c - 48 = -180. Calculate c*n(s) + 17*j(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(55) + sqrt(55) - (sqrt(605)*-1 - sqrt(605))\/sqrt(11))\/(sqrt(176)*-1*6 - sqrt(176)).\nAnswer: -5*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-26)*2 - 0. Let x = 86 - 85.6. Which is the nearest to -1? (a) -0.5 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.101282 litres to millilitres.\nAnswer: 7101.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3330529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 6138772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2. Let v(b) = 666277227*b**2. Give v(i(f)).\nAnswer: 5996495043*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 4*m + 4. Let o be p(4). Suppose 3*s + 3 = 0, -o*k - 2*s + 10 = -0*k. Solve 0*t - k = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199932329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1265\/333 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/9)\/((12\/(-15))\/((-30)\/(-375)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 467250\/1602 + 2 + 33. Determine n so that -140\/3*n - 5\/3*n**2 - v = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3496 - v + 43281 + 2*v.\nAnswer: v + 39785","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/35*-5)\/((-3)\/(6\/(-10)))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*o = -u - 3761, -2*u + 5*o = 3759. Let c = 1239 + u. Is 2\/8 - c\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 7*n + 7. Let j be u(-6). Let g be (40\/4 - j) + -1. What is the units digit of 3 + -4*1 + g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-385)\/14)\/11*8. What is the units digit of 10144\/20 - (-4)\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {u: 3, k: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -51346?\nAnswer: -51346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1385 - -831. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - (6\/11 + (-4)\/(-33)). Let c(a) = 3*a + 1. Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 5 = -3*f + 47*r, -3*f - 2*r - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/3)\/(60*(-5)\/540)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -25. Let z be (-2)\/b*2\/(-2). Suppose 3*g = 10 + z. Solve -3*m - 2*r - 4 = m, -g*r - 17 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68573, 137145, 205717?\n\"Answer: 68572*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220355 by 1.\nAnswer: -220355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d*d\/(d**0*d*d)*d*d*d)\/d*d**3)**(-11)\/(d\/((d**7\/d)\/d)*d\/(d*d*d**(-5)*d*d*d)*d**(-3\/2)*d**(-3\/5)) assuming d is positive.\nAnswer: d**(-829\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/3*(784\/6)\/(-7).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - 3 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 455 + -244. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3 (c) -31899\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 1. Let z(k) = -k**2 + 17*k - 11. Let b(d) = -6*a(d) - z(d). What is the units digit of b(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g - 2*g + (g - 2*g + 2*g)*(-3 + 0 + 1) - 3*g + 0*g + g + 29*g + 17*g - 8*g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 34. Let v be w(-10). Suppose -33 = 3*m - v. Suppose 3*n = -3*c + 3, -n - c = n - 1. Sort -1, -4, n, m in decreasing order.\nAnswer: n, -1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -4143?\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 110651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.127477 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -18\/23, 221, -0.3, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.595729115 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 1221*x + 317*x = -2827*x - 118314 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d - 1622. Give i(-101).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 20 + 20. What is the tens digit of (-4)\/5 + p\/(100\/256)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = p - 2*m, -p + m + 19 + 2 = 0. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2189cb - 6?\nAnswer: 2189c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*10\/(140\/(-49)) + 6\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 558 + -558.4. What is the second smallest value in -1, -1\/6, 0.11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/110717?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8053060\/22223 + -3\/177784. Let l = 362 - k. What is the nearest to -0.1 in l, 1, -2\/5, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.895854 nanoseconds in weeks?\nAnswer: 0.000000000000323901875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (3 - (40 - 36))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1524154010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m. Let x(c) = c**2 + 5*c - 1. Let z be x(-6). Suppose z*a = -0 - 10. Let d(g) = -5*g**2 + 5*g + 1. Let b(i) = a*d(i) - 9*s(i). What is b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 10. Let d(m) = 346*m. Calculate d(z(p)).\nAnswer: -692*p**2 + 3460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f - 8*f + 5*f + 4 - 4*f - 4 + (3*f - 2*f + f)*(4 - 3 + 0).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a83a (base 13) to base 8.\nAnswer: 235155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*-45*(-4)\/(-84))\/((-12)\/10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 746 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*x - 17 = 0, 208*i - 2*x = -395 + 817 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 0.6 in decreasing order.\nAnswer: 2, 0.6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.489 + -1.4913443. What is i rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*x**2 - 3*k*x - 1894855*k - 12667*x**2 - 2*x wrt x?\nAnswer: -4*k*x - 3*k - 25334*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68857.54ns in seconds?\nAnswer: 0.00006885754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -424*o - 19905. What is x(-47)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 34295*y**2 + 2*y - 10. Let r be c(-4). Let f be 6\/10 - (r\/(-55) + 7). Round f to the nearest 100.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -18. What is the remainder when 166 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(19) + 1 + 5).\nAnswer: -44 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 26 + 11. Suppose x*d + z + 0*z = 4, 4*d = -4*z - 8. Suppose t + d*i = 45, 4*t - 187 = -i - 4*i. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 8\/9, 1, 0.5, -0.2 in descending order.\nAnswer: 5, 1, 8\/9, 0.5, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18428094*x - 19*x**2 - 18428094*x.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112342252 (base 7) to base 8.\nAnswer: 32206210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/276*(-2064)\/(-946).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915102725.\nAnswer: 3, 5, 29, 233, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*r = 461*r - 44781. Put r, -5, -2 in ascending order.\nAnswer: r, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4*(-15)\/((-45)\/6). Let q(h) = -h**3 + 2*h**2 + 2*h + 4. Let i be q(3). Which is the second smallest value? (a) d (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-19) - (-99123)\/237538.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(12\/3))*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y + 53 = 281 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -6236 and -6237 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.018, 1\/4, 2, 43 in decreasing order.\nAnswer: 43, 2, 1\/4, -0.018, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -34, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12210100 (base 3) to base 14.\nAnswer: -1777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9784288*f**3*t**3 + 9*f**2*t - 652*f**2 + 2*t**3 + t - 118 wrt f.\nAnswer: -58705728*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 41*c - 83. Let h be y(-2). Suppose 0 = -5*z - 17 - 23. Let v be (z\/(-6))\/((-6)\/(-15)). Sort 2, h, v in descending order.\nAnswer: v, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 c when four letters picked without replacement from {j: 2, i: 3, c: 3, x: 12}.\nAnswer: 66\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 2*f**3 - 3*f**3 + (-2*f**2 - 3*f**2 + 7*f**2)*(-f - f + 0*f) - 404552 - 3453*f**3 + 404552 to the form j + l*f**3 + d*f + o*f**2 and give l.\nAnswer: -3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2558 + -1698. List the prime factors of o.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 59*m**4 - 77*m**3 + 171. Find the third derivative of j(h) wrt h.\nAnswer: 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.12 milliseconds to nanoseconds.\nAnswer: 66120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 11*l + 4*l)*(1 - 3 + 4) + (-2 + 4 - 4)*(3*l - 5*l + 4*l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -465, -918, -1349, -1758, -2145, -2510, -2853?\n\"Answer: 11*s**2 - 486*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 21?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) 0.5 (c) -1 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 8. Let t be (1 - -6)\/(5\/5). Let k be c(t). Let v be k\/(-26*3\/12). Are 2\/13 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58899.\nAnswer: 3, 29, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1571147937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 684145.3 micrometers?\nAnswer: 684145300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1700 - -1702. What is the remainder when 84 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 214786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 971 and -0.055692.\nAnswer: -54.076932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 9:32 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 7:37 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 + -137. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*21\/54*((-12)\/(-56))\/(-3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 5*h**2 - h - 5. Let y(t) = -t**2 - 7*t + 10. Let o be y(-8). Suppose -i + 14 = -2*d, -o*i + 6 = 2*d + 2*i. Determine w(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*a**2 - 57*a**2 - 280*a**5 + (3 - 2*a - 3)*(-a**4 - a + a) + 2*a**4 - 3*a**5 - 2*a**4 + (1 - 2 - 1)*(-5*a**5 + 4*a**5 - a**5) + 0*a**5 - a**5 + 2*a**5.\nAnswer: -276*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3018\/(-3))\/((-1)\/(-2)). Suppose 4*s - 3442 = -3*r, 0 = 2*s - 3*r - 1072 - 658. Let a = g + s. What is a rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 7*g - 20. Suppose -12 = -4*q + 8. Suppose 4*b - 2 = q*s + 18, s = 3*b + 7. What is the units digit of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 3*x**5 + x**3 + (3*x**3 - 4*x**3 + 5*x**3)*(4*x**2 + 3*x**2 - 5*x**2).\nAnswer: 11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2442 + -1722. Let o = w - 720.2707. Let p = o - 0.0103. What is p rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -445468407*f**3 - f**2 - 2841632?\nAnswer: -2672810442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let x be (-302)\/s*2\/(-4). Let f = -51 + x. Put -0.4, -0.3, f in decreasing order.\nAnswer: -0.3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911 = -915*s + 15551 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11249 - -1?\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 841 + -261. Suppose -o = -5*r - 0*r. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 4*j + 14, 4*s + 759 - 769 = -2*j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f5 + 96?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -53. Suppose 14*o = b*o + 176. What is the remainder when -2 + 1722\/27 + 14\/63 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46065, 46074, 46091, 46122, 46173, 46250, 46359, 46506?\nAnswer: 46697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 11:40 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 877*o**2 - 12*o - 70. What is the ten thousands digit of d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d - 3. Suppose -d*t - n = 143, -3*t - 5*n = 38 + 39. Let k = -88\/3 - t. Is -2 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r**3 - 17*r**2 + 18*r + 13. Is h(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5 = -5*p, d - 43 + 44 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 take away -0.0765?\nAnswer: 93.0765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-339)\/(-3390)*32\/40)\/((-3)\/(15\/13)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 7. Let b(n) = n**3 - 14*n**2 - 17*n - 5. Let x be b(16). Let a = x + -240. Determine j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 7\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2. Let t(v) = -4*v - 8. Let k(m) = -2*m + 15. Let x be k(8). Let n(b) = b - 1. Let q(f) = x*t(f) + 8*n(f). Calculate q(p(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 29*k**3 - k. What is the units digit of n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475436, 1901426, 4278082, 7605410, 11883416?\nAnswer: 17112106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 2. Let v be u(-5). Let s(k) = -20*k + v*k + 11*k + 1 + 0. Suppose 4*j + 24 = -m, -36 - 9 = 5*j + 5*m. Calculate s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*o = 8*o + 315, k - 3*o - 153 = 0. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394709087, -394709086, -394709085?\nAnswer: -394709084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2445 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d0c (base 14) to base 15.\nAnswer: -e8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17460818 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-1)\/3)\/((-8)\/(-216)*-30).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 4*a**3\/3 + 4*a**2 + 16*a - 63. List the prime factors of d(7).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107634*q*y**2 - 4*q*y - 355*q - 602951976*y**2 wrt q?\nAnswer: 107634*y**2 - 4*y - 355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 2)*2\/4. Suppose -3 = -p*o - o. Let z = 138 - 117. What is the highest common divisor of z and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 12. Let o = 47 + -37. Suppose 3*h + 2*h + 3*j = 74, 0 = -h - 3*j + o. Does 7 divide v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**3 + 10*t**2 + 2*t + 4. Let k(f) = -5*f**3 - 9*f**2 - 2*f - 3. Let d = 11 - 21. Let b = 3 + d. Let i(u) = b*k(u) - 6*q(u). What is i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let x be v\/3*15\/2. Suppose 12 + 1 = z - 2*w, 4*z - 2*w = 22. Does z = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + f**3)*(0*f**2 - 3*f**2 + 2*f**2) + 703*f**2 - 703*f**2 - 50*f**5 + f**5 + f**3 - f**3.\nAnswer: -50*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240.18 - -1.82. Let q = d - 244. Suppose -n - 5 = 0, 2*n = -3*t + 5*n + 63. Sort t, -1\/2, q in increasing order.\nAnswer: q, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19481 and 819?\nAnswer: 2279277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*m = 96*m - 4. Suppose c - 92 + 9 = -5*l, -m*c + 38 = 2*l. What is the remainder when 38 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01319 in 6, 1\/41, 3, 0.3?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 + 2)*(-z - 2*z + z - z - 3*z + 3*z + (2*z + 0*z + 0*z)*(-2 + 4 - 3)) to the form j*z + f and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19529 is divided by 142?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeerr. What is prob of sequence ee?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7542 - 4922. List the prime factors of j.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.5 * -0.1\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w + 3. Let n be r(2). Calculate the lowest common multiple of (0 - -2)\/((-1)\/n) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*z + 2, 3*z - 19*a = -14*a - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -t - 3*p, -5*p = 679*t - 680*t - 56 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*h + 4*b, 4*h - 3*b = b - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 409\/(-2) + 3\/6. Let m be 3 + -1 + z + 2. Find the common denominator of -64\/9 and (4\/(-10))\/((-15)\/m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - r + 45 = -6*r, 966*b + 19 = 961*b - r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 + 227. Suppose -4*c + 2*f = -82, 0 = 2*c - 5*c + k*f + 74. Calculate the least common multiple of 6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -19. Let i be 20 - (-5 + (-5)\/w). Suppose 5*p - 41 = i. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 22*t - 26. Let a be z(8). Let u be (660\/a)\/(6\/(-10) + 1). Suppose -u*p = -7*p. Solve 0 = 2*m - p*m - 2*w + 6, 0 = 5*m - 2*w + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15013216599 minus -0.01?\nAnswer: -15013216598.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b + 49. Let f(g) = 5*g + 17. Let v(u) = -17*f(u) + 6*o(u). Let l(m) = m + 1. Let p(j) = 2*l(j) + v(j). What is p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 3, -5, 6 in decreasing order.\nAnswer: 11, 6, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + 3*p - 63, -4 = -4*p. Calculate the remainder when d is divided by (22\/(-8))\/(7\/(-28)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 13. Suppose 0 = 2*d - 4*r - 146 - h, d - 133 = 3*r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1328, -1549, -1900, -2381, -2992?\n\"Answer: -65*k**2 - 26*k - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (-9 + (10 - (-4 - (-4 + 8))))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10433)\/(-2) + -4 - 6\/(-12).\nAnswer: 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 586 - 966. Let s = w - -379.99998968. Round s to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52877 is divided by 92.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 14492 + 13439 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/((18\/15)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*l - 248 + 590 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1958 - -1961. Solve 0 = -z - p*q + 17, 0 = z - 11*q + 9*q + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, l: 4}. Give prob of picking 1 l and 3 t.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(1053))*-1)**2*-4 + 3 + (sqrt(1053) - (sqrt(1053) + 1))**2 + 4)*-1 + 2.\nAnswer: -360*sqrt(13) + 4306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1509 or 1?\nAnswer: 1\/1509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8941 - -2?\nAnswer: 8943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 8. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(-122)*(-84)\/154?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:14 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 + 644531*u\/7 + 92076.\nAnswer: -(u - 644532)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - j**3 - 364*j**2 + 361*j**2 + 0*j**3. Let v(a) = a**3 + 4*a**2 - 5*a. Let d(y) = -4*t(y) - 3*v(y). Calculate d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540798 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32806699 is divided by 1659?\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/744 and -11\/1221648.\nAnswer: 1221648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, t: 3}. What is prob of picking 1 t and 1 b?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, -638490, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174.7264 and 24.\nAnswer: 4193.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130877?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3576*x**2 - 20*x + 17. Let f(g) = -1192*g**2 - 7*g + 6. Suppose 0*w + 85 = 5*w. Let v(y) = w*f(y) - 6*a(y). Is v(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40688 + 77535. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, -118, -709, -1376, -2119?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 14) in base 7?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-12)\/(-120))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let n(z) = z**2 + 14*z - 2. Let v be n(-14). Let g(y) = -2*y**2 + 3*y - 1. Determine v*u(f) + g(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m - 8. Let g be v(3). Is (3260\/12 + -3)\/(g\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*o - 3*g, -g - 85 = 3*o - 7. Let f = o + 22. Let l be ((-6)\/(-4))\/(f\/4). Sort l, 12, -4.\nAnswer: -4, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331900, 331830, 331760, 331690, 331620, 331550?\nAnswer: 331480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6019, -12067, -18135, -24223, -30331, -36459?\nAnswer: -42607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67396 (base 11) to base 7.\nAnswer: 554432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*r + 5176 = -7557, -r + 16999 = 4*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.4 * 725\nAnswer: -45240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105960603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/12 and 41\/262.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 108*t + 899584.\nAnswer: -(t - 896)*(t + 1004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:03 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 121*w - 120*w. Solve 4*b = w*g + 2, g + 1 = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/409241 and -57\/27874.\nAnswer: 9003302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**4 + 29562518*x**3 + 1963769*x**2 - 2 wrt x.\nAnswer: -48*x + 177375108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*c = 20, 145*c + 5 = -b + 147*c. Sort b, -3, -14.\nAnswer: -14, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*z = 0, q + 8 = 2*q + 3*z. Let n = q - 3. Let c(b) = -9*b**3 + b**2 + 2*b + 1. What are the prime factors of c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(15\/(-23715)). Let s = f + 672. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 + -163 + (4 - 15 - 16).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 2 s when four letters picked without replacement from eseppseepspesesesssp?\nAnswer: 196\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lggllllglgllllglll.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p - 35 = -31*p. Solve -35*a = -42*a + p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44732 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*9\/(-54)*(-8)\/10. Let y be g\/(16\/(-18))*36\/(-27). Solve 0 = 4*t - 3*c + 2*c - 23, -y*c - 9 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -305417 + -1?\nAnswer: -305418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1199 - 1199.1291. Let c = 0.1289381 + b. Round c to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 572769*p**3*r**2 - 31*p**2*r**2 - 2*p**2*r + 486*p*r**2 - r wrt p?\nAnswer: 3436614*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8132 + -7425. Let u = 397 - 884. Let a = g + u. Calculate the highest common factor of a and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1551975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*j**4 + 2*j**3 + 3*j**2 - 1115*j - 4195040 with respect to j.\nAnswer: -56*j**3 + 6*j**2 + 6*j - 1115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 9, -5*d + 10 = -5*q. What is the highest common factor of 95 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9917, 3375, 0.\nAnswer: 0, 3375, 9917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 86*c - 40. Let m be u(-42). Let i be (38 - m)*(-5)\/(-6). Sort -4, i, 0 in ascending order.\nAnswer: i, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 32*r + 20 = 0. Let i be ((-55)\/r)\/(13\/(-156)). What is the common denominator of 15 and (2 + (-486)\/i)\/((-7)\/35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-1 + 3 + 2) - (-142 - -139).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/4 + s**3 + 11*s**2\/2 + 11*s + 44. Let m be p(8). Are -220 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 3) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = -n + 2*r, -5*r = 2*n - 27. Suppose 1 = y - n. Let z be (9\/y)\/(11\/(-22)). Is -8 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/2 - 2263*d**3 - 9049*d**2\/2 - 2262*d = 0.\nAnswer: -4524, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -11. Suppose -3*w + 0*w = 0. Which is the nearest to k? (a) -0.4 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**7\/1400 - l**6\/300 + l**3 + 3*l**2. Let y(k) be the first derivative of d(k). Determine r so that y(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 5 = 7*s + v, 0 = -3*s - v - 5. Let t(p) = p**2 - 36. Let c be t(0). What is the units digit of (1 + 4)*(c\/15)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlqjqvbjvv. Give prob of sequence qb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 + 159915890*j**3 + 309880550*j**2 wrt j?\nAnswer: 24*j + 959495340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79505, -92189, -104875, -117563, -130253, -142945?\n\"Answer: -l**2 - 12681*l - 66823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + w + 122 - 5*w - 3*w - w. Let o be n(29). Solve 0 - o = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 a factor of 6749088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -3*l**2\/2 + 346. Let h(n) = 11*n + 1. What is y(h(p))?\nAnswer: -33*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 54*w**2 - 105*w + 397. List the prime factors of t(-48).\nAnswer: 11, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:55 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675)*-1 + (sqrt(81) + sqrt(81)*3)\/sqrt(3))\/(2*sqrt(81) - (2*sqrt(900) + sqrt(900))))**2.\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62943, 62917, 62843, 62697, 62455?\nAnswer: 62093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4\/3, 0.3, 8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 + 9*u - 17. Let s be q(7). Let c(o) = -2*o**3 + o**2 + 3. Let z(t) = -4*t**3 + 2*t**2 + 5. Give s*z(b) + 5*c(b).\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*s - 488 = 0, -2*s = -3*b - 185 + 553. Solve -9*q = 102 - b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.18, -1\/3, 4, -285, -1\/5 in descending order.\nAnswer: 4, -0.18, -1\/5, -1\/3, -5, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -510*f + 66. Let l be r(-1). Calculate the greatest common divisor of l and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 4*o**2 + o**2 + 0*o**2 + o**2. Let s(u) = -u + 1. Calculate s(f(x)).\nAnswer: -5*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.8. Let d = k - -0.3. Is -1\/3 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1365*v**2 + 2734*v**2 - 50*v**3 + 33*v**3 - 1369*v**2 + 26*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, c: 12}. Give prob of sequence gcc.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 913\/3, -3, 146, -0.3, 4, 2\/11 in decreasing order.\nAnswer: 913\/3, 146, 4, 2\/11, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 4917.2.\nAnswer: -196.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 575500 divided by -20\nAnswer: -28775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.154 - -0.343. Let x = -0.18999 + a. What is x rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*10*1 - 0. Suppose 2*q - 12 = -l + 1, -4*q = -20. Let r be (0\/2)\/(l + 0). Solve -6*s + s - w = r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**4 - o**3 + o**2 + o + 2. Let a(z) = 46*z**3 - 284*z**2 + 438*z - 204. Let t(i) = a(i) + 2*f(i). Factor t(y).\nAnswer: -2*(y - 10)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108977154691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 111*m**2 - 2*m - 97*m**2 + m.\nAnswer: 14*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -293, -620, -1035, -1586, -2321, -3288, -4535?\n\"Answer: -8*w**3 + 4*w**2 - 283*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2)\/i*i*i)\/((i*(i\/i**35)\/i)\/i))\/(((i**(4\/17)*i)\/i)\/i**(4\/25)) assuming i is positive.\nAnswer: i**(14843\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gygymgmmmgmgg. What is prob of sequence myg?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 minus -0.5?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, -27, 3, 0.1, 5, 0 in ascending order.\nAnswer: -27, 0, 1\/22, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11727, -1, -5, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 7. Let f be o(5). Let y(m) = -1 + 3 - f - m. Suppose -7*t - 1080 + 1087 = 0. Give y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k - 5*k + 3*h = 297, 5*h - 21 = 13*k - 9*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6643*w**2 + 19*w**3 + 15 - 20*w**3 + 11*w + 6639*w**2. Calculate l(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333 (base 4) in base 13?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 938 = -70*b + 4*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -2 - -6) + 2 + -6 + 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311 (base 6) in base 3?\nAnswer: -1001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 1.03. Round j to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**22\/f*f)**(-1\/12)*f**(1\/30)\/(f\/f**(-2\/5)))**(2\/39) assuming f is positive.\nAnswer: f**(-23\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 3718990?\nAnswer: 3718990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114.19 - 65.98. Let z = b + -48. Round z to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 4*z - 16 = 3*f, -f + 4*z = 16. Solve -o - o = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 27 = 3*p. Suppose -y - 4*y + p = 0. Suppose -4*r + y*r = -28. Solve 5*k - r - 11 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 99*q - 98 - 6 - 77*q + 73*q + 54*q. What is the tens digit of h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 0*n - 4 - 9 + 12. Determine q(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v - 7. Let u(i) = 34*i - 60. Let m(y) = 52*k(y) - 6*u(y). Let d(n) = 36*n + 33*n + 6 - 75*n. What is -5*d(t) - 8*m(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 199656 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -538, -543, -550, -559, -570, -583?\n\"Answer: -p**2 - 2*p - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -1. Suppose -1 = -h - u. Let n(c) = -c**2 + 1. Let q(k) = -3*k**2 - 4*k - 3. Let p(o) = h*n(o) + q(o). Give p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 + w - w + w - 3 - 8*w**2 + 2*w**3 + 22*w**4 + 105*w**4 to the form u*w + j*w**3 + l*w**4 + r*w**2 + y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**2 - 3*d**3 - 26*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c6a88 - -4?\nAnswer: 5c6a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitiittitiiiiiiiiiii. What is prob of sequence ti?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - -1 - (-1 - -2). Let t be d\/21*45\/6. Solve t*g = -2*s + 25, s + 20 = 2*s + 5*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 38. Solve t*c - 4 = -14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1049491965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/15, 542, 1, 4, -12 in increasing order.\nAnswer: -12, -1\/15, 1, 4, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysy when three letters picked without replacement from syyyssy.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 76*b + 1045. Let c be n(-85). Is -34 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 195420*f. Let j(b) = -2*b**2. Give a(j(n)).\nAnswer: -390840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3012451*j**4 - 32*j**2 - 134055*j + 2?\nAnswer: 72298824*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w - 0. Suppose 3 = p + 2*p, 5*g - 5 = -5*p. What is the third smallest value in g, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -350 - -349. What is the closest to -2 in -0.5, -8, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10514, -21029, -31550, -42077, -52610?\n\"Answer: -3*q**2 - 10506*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - 10*q**2 + q - 222. List the prime factors of f(12).\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 100 = -3*f - 12*p, -79*f + 3*p - p = -84*f + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.1 (c) 35 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 7567?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*k - 4470, 4*k = -3*f + 3501 + 3206. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1967, -1966, -1967, -1970, -1975?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 14746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 51 + 6 = -5*d, 0 = 3*h + d - 17. Let f(i) = 143*i**3 + 3*i**2 - 5*i + 26. Is f(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*c - 12. Let f be 30*3*(c\/14)\/(-1). Suppose 7*k**4 - f*k**2 - 4\/7 + 4*k**3 - 4*k = 0. Calculate k.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.076, -41, -4, 0.4, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(1\/12)\/(y*y**1)**(-1\/52)*(y\/y**(-2\/15)*y)\/((y*y*y**(-1)\/y)\/y)*(y**(-1\/4))**(2\/35) assuming y is positive.\nAnswer: y**(2843\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - u - 11 = 1, 0 = -5*i + u + 18. Let c(b) = -b + 8. Let l be c(6). Solve -5 - i = l*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -10, 5, -4 in decreasing order.\nAnswer: 20, 5, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b - 3*b - 9*b - 25 - 4*b. Let p be u(-8). Solve 4*w - w + 20 = -5*m, -p = 5*w - 2*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 1075348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 61111674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(208\/(-120)))\/(-5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 15\/7, 0.44, 1, 3\/5 in increasing order.\nAnswer: 2\/25, 0.44, 3\/5, 1, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1122 - 246 = -24*f. What is the remainder when f is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, -5, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*k**3*q + 155*k**3 + 2*k**2 + 6*k*q**2 wrt q.\nAnswer: 4*k**3 + 12*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(95) + (sqrt(95) - 2*sqrt(95))*4)\/(sqrt(20)\/sqrt(4)*-3 + sqrt(80)*-1).\nAnswer: 16*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) - (-12)\/4. Suppose -4*j = -3*u + 27 + 205, 8 = k*j. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*p + 16 = 3*v - 6, 0 = -3*v + 30 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171063 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-25))\/((-27)\/(-30)). What is the closest to -97 in 2\/11, u, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a microgram in nanograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvvc when four letters picked without replacement from {q: 2, v: 2, c: 1, z: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*j**2 + 80*j**2 - 23*j**2 - 59*j - 32*j**2 - 1 in the form l*j**2 + x + s*j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02138 and 225?\nAnswer: 4.8105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7608495 and 150.\nAnswer: 76084950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, e: 1, j: 2}. Give prob of sequence jt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23963*d**2*q + 2501*d*q - 22886554*q + 3 with respect to d.\nAnswer: -47926*d*q + 2501*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003073899 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**3)**(13\/2) assuming f is positive.\nAnswer: f**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00449 rounded to four dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 10:42 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 9:36 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1203?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b - 16*b + 25*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -539, 4, 0.1 in decreasing order.\nAnswer: 4, 0.1, -4, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 80 = -4*i, 5*i - 3*i = -4*k + 40. Suppose -75*y - 1120 = -83*y. What is the highest common divisor of i and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 53. Calculate m(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 16512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*i + 149 + 142 = -156*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 5. What is the remainder when 78 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243 - 114?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, 1\/8, 0.26, 2\/7, 15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 76*g**2 + 150*g + 256. Let a be f(-74). Solve 5*u - 4*k = 45, -u + a*k - 113*k - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1094 by -547.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/858 and -41\/4.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:03 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166296*w**4 - 25337*w**2 wrt w.\nAnswer: 3991104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 10*y + 9. Let n be d(-6). Let a = -12 + n. Let z = a + 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 0 + 0*i + 6\/11*i**3 + 18\/11*i**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -79 + 4 + -4 + (481 - 495).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -688, 1 in decreasing order.\nAnswer: 1, 0, -688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 90 = -20*t, -16*t + 2*a - 15 = -15*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -157\/24*c**4 + 83 - c**2 - 71\/6*c**3 + 0*c. What is the derivative of h(w) wrt w?\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011091 rounded to six decimal places?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*c + 2 - 0, 2*b + 3*c + 18 = 0. Let h(d) = 88*d**2 - 4*d - 9. Is h(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5181 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 13. Suppose 5*g - t = 33. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -43.5. Let f = 0.2 + -0.1. What is the nearest to -2 in -2, a, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2252.1 - -2164. Let t = -82 - i. Let q = t + -6. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Suppose z*h = h + 48. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5526*a + 121470. Give r(22).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1080 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:34 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 6. Let w = -3 - u. Suppose 3*t = -w*q + 1 - 4, -q = 3*t - 3. Solve -2*k = -2*l + t, -3*k + 20 = 2*l + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 3. Let l be f(-4). Let x(t) be the second derivative of -t**3 + 4*t. Determine x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 10) to base 13\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:40 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -7\/5 (b) -3\/8 (c) 5 (d) 4 (e) 15\/218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09499214 to 5 decimal places.\nAnswer: -0.09499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.61 - 0.11. Let p = 137\/20 - 33\/5. What is the second biggest value in n, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/36)\/((-2)\/(-54)). Solve 13 = -4*t - n*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - -20019766\nAnswer: 20019785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttd when three letters picked without replacement from dnttttnntnnndndn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10292 + 9905 - 4*v + 25*v + v to b + a*v and give b.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2934*x**2 - 683 - 685 + 1368 to d*x**2 + g*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.06 + 4. Let a = 0.16 - -0.08. Let p = k - a. Put -3\/2, p, -1\/6 in ascending order.\nAnswer: -3\/2, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 524\/9 + -60. Which is the closest to n? (a) 4 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*s + 7 = 0, s = 3*v - v + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2123\/10 or -213?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 2*j - 2. Calculate a(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12064 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -2*v**2 - 3*v - 4. Let k(l) = -3*l - 3. Suppose -p - 1 = 2. Give p*k(s) + 2*t(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from dhadkkddhdqhckadddhk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 1055 + k + 602 - 388 + 189.\nAnswer: -2*k + 1458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20614127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10*0.0538\nAnswer: -0.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0224 - 0.4776. Let k = -1.2 + 1. What is the second smallest value in -1\/3, j, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4247605 decades to centuries.\nAnswer: 0.04247605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -6.4, -1\/5.\nAnswer: -6.4, -3, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -30. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.45367 less than -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6085219 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77021984 and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -e3e9 (base 16) to base 11\nAnswer: -3a921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 53. Does 29 divide 5\/(-45)*a*201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26119 + -26089. What is the highest common divisor of 1812 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/8 - 79*b**2\/4.\nAnswer: -b**2*(b + 158)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-190))\/(16\/(-152))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 209.5, 5, 0, 1, -0.28 in ascending order.\nAnswer: -0.28, 0, 1, 5, 209.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -578000 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302 - 5*g - 911 - 4*g + 300 + 308.\nAnswer: -9*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 + 1710*c + 21240 = 0. Calculate c.\nAnswer: -12, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540389642?\nAnswer: 2, 3, 11, 521, 44797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 521 = -31*t - 151 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 2*x**2 + 67*x - 189. Let p be d(3). Solve o + 5*a - 9 = 0, 1 = -p*o + 4*a + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/120 + 2*f**5\/15 + f**4\/8 - 19*f**3\/6 + 202*f**2. What is the remainder when 53 is divided by q(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d - 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.7 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 3, -440, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 221.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, -24 in decreasing order.\nAnswer: 0.5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 21. Which is greater: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446571131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.40686736 times 0.2\nAnswer: -0.281373472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-24 - -52) - 51 - (0 + 9).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*h**4\/7 - 3410*h**3\/7 + 21416*h**2\/7 - 40192*h\/7 - 7680\/7 = 0 for h.\nAnswer: -15\/86, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Let n = -4 + f. What is the closest to n in 0.4, 2\/9, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199992427 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 214149, 428291, 642433?\n\"Answer: 214142*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 11*t**2 + 10*t. Let w(f) = 2*f**3 - 5*f**2 - f - 9. Let x be w(4). Let a be ((-24)\/(-14))\/((-5)\/x). List the prime factors of h(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3\/2573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*y - 1511, -2*y - 600 = -6*g + 5*g. Let d = -1207\/4 - y. What is the common denominator of (0 - 2)\/((-200)\/(-54)) and d?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258116698?\nAnswer: 2, 7, 2203, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 8, 5, -1\/5, 33, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 - 2*n\/9.\nAnswer: -2*n*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -1.9?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*10 + -2. Suppose -2*f = 0, -5*f = -3*p + 2*p + q. Suppose 6*n = n. Solve 0 = -p*r - n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**10\/d**(-8))**(-13\/3))**(30\/11) assuming d is positive.\nAnswer: d**(-2340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -72. Let b(i) = i**2 - 9*i + 8. Let d be b(8). Solve -2*p - 13 = -u, -u + 2*u + 5*p + c = d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 10. Let s(c) = c**3 + 22. Calculate the smallest common multiple of x and s(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3. Let z be m(1). Let c be (3 + 3)\/(z + 2). Suppose c = 4*q - 10. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(85) - (-1*sqrt(85)*-1 + sqrt(85))) + sqrt(85)))\/(sqrt(500) + (sqrt(500) - (sqrt(500) + 2*sqrt(500)*-3 + sqrt(500))) - sqrt(500)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26161*c**2 + 7633*c wrt c?\nAnswer: 52322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6)*(-8)\/3. Suppose 3*w + w + 4 = 5*y, 2*y - w - z = 0. Find the third derivative of -4*j**4 - 2*j**2 + y*j**4 - 2*j**6 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.3 and 0.1?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4511 (base 9) in base 4?\nAnswer: -310003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3))\/(c*c**0)*(c**(1\/3))**32)\/((c*c\/c**(-1\/14)*c\/c**(-1))\/((c*c\/(c\/((c**(1\/5)\/c)\/c*c))*c)\/c**(2\/15))) assuming c is positive.\nAnswer: c**(979\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -32*f + 44*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.737 + 2.68. Let x = 0.007 + v. Which is smaller: -2\/5 or x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0590441 years in millennia?\nAnswer: 0.0000590441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 0.1, -5, -32\/99, 514?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -114.8 times 103799\nAnswer: -11916125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 + (-11 - (-17 + 23 - -6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -0.8. Let g = 4.4 + -0.4. Let k = -1\/2 - -11\/6. Which is the nearest to w? (a) g (b) -2\/15 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.2, -2\/7, -25 in descending order.\nAnswer: 1\/4, 0.2, -2\/7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-237*c - 259*c**2 + 237*c)*(44 - 25*c - 44)*(1 - 4 + 2).\nAnswer: -6475*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2. Let f(y) be the second derivative of -y**4\/3 - 5*y. What is d(f(c))?\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/322110 and -49\/2190348.\nAnswer: 10951740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -10*a - 126. Let b be (1 + -1)*1\/(-2). Suppose 0 = -5*q + x - b*x + 70, -5*q + 70 = -5*x. What is the greatest common divisor of a and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*z + 3*o, -251*z + 291*z = -o + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 172889*k. Let t(q) = -12*q**2. Give n(t(r)).\nAnswer: -2074668*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 51742, 103581, 155420, 207259?\n\"Answer: 51839*h - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + -9)*(15 - -2408) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133528 (base 9) to base 15\nAnswer: -19185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - 109. Suppose 0 = -5*g - 0*g + 1590. Suppose 3*u + g = k*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 181. Let q be (-3)\/(-12)*-34*-32. Suppose -4*f - 4*f = -q. Calculate the remainder when d is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 1*-2*sqrt(84))*6*-6)\/(((sqrt(72) - 2*sqrt(72))*-3 - sqrt(72) - sqrt(72))\/(sqrt(54)\/(sqrt(18)\/sqrt(2)))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.7, 0.3, 0, 13184, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/2161 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2101, 2103, 2105, 2107?\n\"Answer: 2*t + 2099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -5. Suppose 5*o = -6 + j. Let v = o - -1. Let b(z) = z + 1. Calculate b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -88, -118, -138?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265 + -3257 - ((-1 - 2) + 1 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/30 + 8*i**2. Suppose 5*n + k - 4*k = 3932, 5*k = -2*n + 1548. Let j(h) = -8*h**2 - n + 784. Determine j(v(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 5, r: 4}. What is prob of picking 2 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -6536, -4 in ascending order.\nAnswer: -6536, -4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*j**3*t**3 + 35540*j**3*t - 11*j**2*t - 7*j**2 - 2*j*t + 9068078*t**5 + 1 wrt t.\nAnswer: 300*j**3*t + 181361560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u + 75 = 0. Let q be 0 + (-9)\/(-3) - u. Let d = -4 - q. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300\/(-600) - (-1)\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1012 times -4?\nAnswer: -0.4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 24 = 4*v, -3*r = 5*v - 20 - 10. Suppose 3*l - v*l = -1077. Let i = -254 + l. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -14. Solve -p*a - 2 = -0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:07 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231175.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2870 and 51\/4402580.\nAnswer: 4402580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/60350 and 69\/22.\nAnswer: 663850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 0, -68 in descending order.\nAnswer: 0, -68, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, l: 1, o: 6}. What is prob of picking 2 b?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:35 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 74 = 57*m. Suppose c - 5 = -7, 4*j + m*c - 22239996 = 0. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/(-3) - 0)\/((-4)\/852). What is the greatest common factor of v and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21972527.\nAnswer: 43, 510989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - 57\/456*-316)\/(18\/(-20) - -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*-4*2. Suppose -15 = -3*b - 2*b - q, 0 = 5*b + v*q - 30. Let x = 10 + -4. Solve z = -b*z - x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrrfdfhh. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*11\/(-8)*(-2)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbxz when four letters picked without replacement from {z: 2, x: 5, b: 4}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = -4. Suppose t*w = 18 + 2. Suppose 2*h - 24 = -2*k - 3*k, -w*h - 2 = -3*k. Solve j = h*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539.868954 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -791711 + 12?\nAnswer: -7916bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1985.170025 + 1985.4. Let q = -0.278 - -0.048. Let z = q + y. Round z to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 128 = -z, 5*z + 640 = -5*h + 2*h. Let q = z + 140. Suppose 2*w = -2*r + w + 9, -15 = -3*r - 2*w. What is the lowest common multiple of r and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133634, -505, 2 in increasing order.\nAnswer: -505, 2, 133634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/8 - 1\/4. Let d be (-1 - (-2)\/z)*-3. Let m be 1*-6*184\/(-69). Solve 16 = -4*h, 5 = -f - d*h - m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104359025 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 1 - 1 - y**5 + (-1 - 2*y**4 + 1)*(0*y + 2*y + 2*y).\nAnswer: -9*y**5 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 7. Let f(s) = 3*s - 12. Let d be f(5). Calculate a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-2)\/6*-3. Let v = -2018 - -22228\/11. Do v and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001208 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 72 = -0*p + 33*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -567 - -568. Which is the second smallest value? (a) 14 (b) l (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18693006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3320295 divided by -152\nAnswer: 3320295\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 15*t**2 - 2*t - 219. Let n be c(-14). Solve -i = -3, 9*i = -5*f + n*i - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79077 or -63?\nAnswer: 79077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305534 or 305527?\nAnswer: 305527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-10)\/4))\/(312\/650).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 302 (b) -2 (c) 0.05 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*g + 98, g - 102 = -4*g - 2*m. Suppose g*f = 16*f + 96. What is the highest common divisor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a microgram in nanograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*u + 15. Are -1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -187 and -32.\nAnswer: 5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -6. Let l(z) = -795*z + 2 + 4 + 793*z - 3*z**3 - z**2. Let b be l(q). Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -122, -1, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t - 5*w + 6 = 0, -5*w = -5*t. Suppose 0 = 3*u - 7*u. Suppose u = 2*h - 13 - 9. Solve h = 2*s + t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -6 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 + h + 4. What is the remainder when n(-3) is divided by 1 + 17 - (1 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48745523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-130) + 4\/(-10). Which is smaller: t or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.75 + 0.25. What is the nearest to 0.1 in p, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 53*w + 946. What is j(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 2*h - 7. Let o(b) = -b**2 - 3*b - 7. What is 2*o(d) - 3*s(d)?\nAnswer: 4*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-119)\/(-21))\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*g**2 - 91*g**2 + 1 - 300*g**2 as q*g + n + m*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 263 in -0.1, 2\/3, -0.4, -3840, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4931950063?\nAnswer: 4271, 1154753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 - 938*l**4 + 18360*l**3 - 89632*l**2 + 78464*l + 187392 = 0.\nAnswer: -488, -1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -10*v**2 + 1844*v - 7919. Determine t(180).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 36*f**4 - 2868*f**3 + 34714*f**2 + 181203*f - 3448926.\nAnswer: (f - 17)**3*(f + 9)*(f + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 515 and 6220582.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115452421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -143?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.18092147 - -12.181. What is a rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 0*y**2 + 2 + 0*y**2 - 3*y**2 + 6*y + 0 - 5*y. Let q(f) = -36*f**2 + 8*f + 16. Let g(h) = 8*o(h) - q(h). Let n(t) = -8*t. What is n(g(i))?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1696 + -8476\/5. Let w = 282.2 - 282. What is the closest to w in -4, 0.4, 5, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23064 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390256 is divided by 1379?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-25))\/(((-3)\/(-7))\/((-710)\/497)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/12276 and 115\/594?\nAnswer: 36828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 130 = -550. Let t = -105 + u. Solve 4*m + 7 - 19 = t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 20. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, h: 1, q: 2, s: 4}. What is prob of sequence qsq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and -67090526.\nAnswer: -67090525.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*w - 25, -4*w - c + 20 = -0*w. Suppose -k + w = 0, -q + 5*k + 1553 = q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1336013 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/30 + g**4\/3 - 4*g**3\/3 + 5*g**2\/2 - 13*g. Let y(d) be the first derivative of a(d). Determine j, given that y(j) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*-3*50\/390)\/((-15)\/6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -287*l**3 - 4698 wrt l?\nAnswer: -861*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4, -118580?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 2*t**2 + 1648*t - 40. Give n(40).\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (30\/25)\/(6\/100)*(-46)\/92\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 - 101061*l**2\/5 + 2554594224*l\/5 - 12760341620.\nAnswer: (l - 50518)**2*(l - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216992 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -154307522 divided by 2986\nAnswer: -51677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 29 = -25. Calculate the least common multiple of c and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0766 + 16.6766. Let j = g + -20.6. Which is the closest to -0.1? (a) 1\/5 (b) -2\/19 (c) -2\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 23104210222?\nAnswer: -23104210231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 9:27 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1278*g + 1462*g - 67425 = 2226*g + 2453*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.102 - 383.\nAnswer: -384.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 15 = 5*t, t + 10*i - 11*i + 3 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 17 - 5. Suppose 17 = g*l - 46. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 77\/12*i**4 - i + 21*i**2 + 50 + 0*i**3. Differentiate d(t) wrt t.\nAnswer: 154*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -2*o - 24. Solve -5*u + 19 = -o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25408)\/9528*(-3)\/(-204)*-1?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 168888202 - 12.\nAnswer: 168888190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5325, -10567, -15807, -21045, -26281, -31515?\nAnswer: -36747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751446939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:06 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -932 and 0.02857?\nAnswer: 932.02857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 3*d. Let h(b) be the third derivative of -b**5\/30 - 4*b**2 + 59*b. Give u(h(q)).\nAnswer: -12*q**4 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4\/12 - 2*c**3 - c**2\/2 - 2. Let v(f) be the second derivative of z(f). Is 4 a factor of v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 500*y + 144*y + 2*y**2 - y**2.\nAnswer: 2*y**2 - 356*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = -15. Factor -n**y + 86*n**3 - 81*n**3 - 4*n**2.\nAnswer: 5*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 4, -5 in descending order.\nAnswer: 10, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 6*s**2 + 5*s + 1198. Calculate the remainder when g(0) is divided by 200.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665059?\nAnswer: 373, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (306\/51 - (-104)\/(-14))\/(-1*3\/(-3))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**3 - 4446 + 5*a**3 + 4446.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.55.\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/109622490 and 139\/29142?\nAnswer: 328867470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhzaahzzozzhzhzha. What is prob of sequence ah?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2010204 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 - -3.2. Let v = 16 + -11. Let x = v + -1. Which is the nearest to 1? (a) k (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8*a - 3 = 0, -4 = -41*a + 37*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 39. What is k(-30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1023464 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/17*4523 - (-16)\/(-136). Let m = -535 + u. Which is the nearest to -0.1? (a) -2\/9 (b) -5 (c) -0.5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43907 and 498.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 331424539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10 - y - 9 + 5. Let t(x) = x**3 + 7*x**2 + 5*x + 3. Let p be t(-3). Suppose -5*d + d = 0, -4*n + d = -p. Calculate a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79341, 2, -5, -3, -1 in ascending order.\nAnswer: -79341, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, 400.81, 1\/550?\nAnswer: 1\/550","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2573 * 20073\nAnswer: -51647829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1684 from 0.1.\nAnswer: -1683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -380460 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 5*k**3 + 227 - 117.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(108)*-2)\/(sqrt(40)\/(sqrt(10)*-2)) + (-4*-1*(sqrt(192) - sqrt(192)*-3))**2 + -2.\nAnswer: -14*sqrt(3) + 49150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1))**(-14\/11))**32)**33 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-1962)\/(-9) + 4*1. Let i = u - 151. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c**2 + 17*c - 17*c - 2*c**3)*(87*c**2 + 135*c**2 - 149*c**2).\nAnswer: -146*c**5 + 73*c**4 - 146*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 139*i**2 + 8*i + 15. What is the hundreds digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*25\/2*(-408)\/68. Solve -12*s = 3*s - x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*l**3 + 193*d**2 - 7*d*l**3 wrt l.\nAnswer: 3*d**2*l**2 - 21*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*2\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 34*b - 95 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271157 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14592198 + -6952121. Suppose 0 = -5*v - 4*d - 35693397, n = -2*v - 5*d - 6637292. Let k = v + 2738677. Round k to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - -27. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 - 15*l**2 - 17*l + 9. Let x(p) = p**3 - 5*p**2 - 6*p + 3. Let i(c) = -3*a(c) + 8*x(c). Give i(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. Suppose q - 5 = -x. Solve -2*i + 6*i = x*z + 8, -5*i + 12 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*g - 3717 - 8547 = -693*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 17. What is u(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1379 - -1312. Let r = -2831.3 + z. Round r to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -106, -328, -690, -1186, -1810, -2556?\n\"Answer: g**3 - 76*g**2 - g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (10 - (7 + (-13 - -15) + -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249 - -436. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -9137?\nAnswer: 9141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123418 is divided by 942?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 40 = -5*y. Let c = y + -9. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127379143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 504 - 4538\/9. What is the third biggest value in 4, x, 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 16*w - 21. Let i be o(-9). Let u be i*((-4)\/(-12) + -5). Calculate the greatest common factor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.2 - 4.2. Let x = 2919\/4 - 729. What is the nearest to v in -0.3, x, -5, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1152) + -5 + 1 - (sqrt(1152) + 4 + 4))*-5 + -5)*-6)**2.\nAnswer: 108900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 21*p = -4110. Let a = -411 - p. Solve -2*s + 9*s - 14 = a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.8, 151, -10?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/484885 and 93\/21830.\nAnswer: 57216430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4*l - 258*f**4 + 17*f**3 + 67019*f*l + l wrt f?\nAnswer: 12*f**2*l - 3096*f**2 + 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (13 - -30) + -68.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2 + 2421*w + 38992 = 0.\nAnswer: -16, 2437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10*q - 111 = 9*q, -272 = -5*d + 3*q. What is the remainder when 104 is divided by d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 2. Let b be f(-1). Suppose -b*j + 1675 = -3*d, 8*j = 3*j + 5*d + 1675. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123)\/(-9) + 0 - (-2890)\/(-289)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:10 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4897949.\nAnswer: 7, 37, 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (851\/370 + (-9)\/5)\/((-3)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313341 by -3.\nAnswer: 104447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7218.2866976 + 5\nAnswer: 7223.2866976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642762768.\nAnswer: 2, 3, 1733, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 12:21 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 83, 343, 763, 1331, 2035?\n\"Answer: -2*n**3 + 92*n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 12*r - 16. Let k be y(-10). Let a(p) = p**2 - 5*p + 6. Let h be a(k). Suppose 7*s - h*s - 320 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 148 + 52 = 0. What is the lowest common multiple of 18 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2640239 (base 11) to base 9\nAnswer: 8532442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, n: 1, c: 1, e: 2, d: 1}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2361, -1810, -1273, -756, -265?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 1\/2*l**4 - 2 + 0*l**3 - l**2 + 0*l. Let h be 1*2*(-2 - -1). What is o(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = -6. Suppose 6*l - y*l = 36. Suppose -3*i + l = 0, -24 = -3*b - 5*i - 0*i. Solve 0 = -4*d - b*k - 19, -5*k + 4 - 5 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110001010 (base 2) to base 6\nAnswer: 12534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51360 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/6 + c**2. Let b(a) = 20 + a**2 + 15*a**2 - 20 - 9*a**2. Give i(b(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 11*n - 370000. What is n rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**4\/24 + 3*k**3\/2 + 5*k**2. Let h be y(6). Put 0, -1, h in ascending order.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -140955, -281899, -422857, -563835, -704839, -845875, -986949?\n\"Answer: -o**3 - o**2 - 140934*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 12 = 4*u + 8, 3*v - 5*u = 27 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:37 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.55 - -92.55. Let z = s + -92.0077. Round z to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16087 - 7.48550765.\nAnswer: 16079.51449235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002120105444 rounded to 5 dps?\nAnswer: 0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(458\/66 + -7). Let v = -263 - -109. Let p be (0 + -1)\/(g\/v). Solve -2*k = 4*f + 8, 5*f + k = -p - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let p(q) be the second derivative of -2*q**3\/3 - 3*q**2\/2 - q. Let i(o) = 11*o + 8. Let d(z) = 3*i(z) + 8*p(z). Determine n(d(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 7) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352122?\nAnswer: 2, 3, 58687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 621613819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359410397.\nAnswer: 23, 15626539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1040 and -29\/316782128?\nAnswer: 1583910640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 747 + -679. What is the highest common divisor of a and 1088?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 + 31*n**4*p**2 + 65*n*p**2 - 2*n wrt n.\nAnswer: 20*n**3 + 372*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 326 = 441. Let x = 0.9 + -0.5. Which is the smallest value? (a) -1 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 18*x**2 - 22*x - 21. Let h be y(-19). Let w be (2\/3)\/(8\/h). Suppose k + 1 = w. Sort k, -3, 4 in descending order.\nAnswer: 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:50 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 366, 372, 382, 396, 414?\n\"Answer: 2*c**2 + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*n - 5, -n - 5*h + 20 = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 35 - 35. Suppose -s = q, -o + 70 + 416 = 4*s. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*s**2 - 23*d**3*s - 3*d**2*s + 70*d*s**2 - s**3 wrt s?\nAnswer: -4*d**3 + 140*d - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377844 is divided by 875.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133522122?\nAnswer: 2, 3, 37, 601451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*a + o, a = o - 0*o - 1. Let g be (-105)\/33 + 4 + -1. Suppose -43 + 3 = 5*d + 5*n, 4*d + 11 = 3*n. Sort a, g, d in ascending order.\nAnswer: d, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 59*x**3 + 597*x**2 + 1013*x + 476.\nAnswer: -(x - 68)*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (33 - 7) - (-19 - -4 - -15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -454 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 4*j**2 - 93*j**4 - j + j**3 + 94*j**4 in the form o*j**3 + g*j + h*j**4 + c + m*j**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -4, 1\/2, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -77*s. Let d(n) = -10*n + 2350. Give d(o(g)).\nAnswer: 770*g + 2350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 0.06. Let n = d + -0.16. Which is the second biggest value? (a) -4 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(-2*sqrt(76)*-5 - sqrt(76)) - 1*((sqrt(76) + -2 + sqrt(76) + -2*sqrt(76))**2 - sqrt(76))).\nAnswer: -222*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(612) - sqrt(612))*4 - 2*(-1*sqrt(612) + sqrt(612))) + -4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7954608?\nAnswer: 2, 3, 165721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 3*r + r + (3 - 3 - 2*r)*(-2 + 3 - 3))*(140 - 17 - 58)*(0 + 0 - 2) to i*r + m and give i.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181613?\nAnswer: 193, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-6)\/((-300)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(8874\/(-29)))\/(-4*(-4)\/32)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 50374?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1699\/452 + -1\/113. Put 0.4, 0.5, k in increasing order.\nAnswer: 0.4, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1704 = 7*x - 4*x, -2*j + 4*x = -3388. Suppose -a + j = a. Let q = -350 + a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43166142 is divided by 16908?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -2, -3, 2, 398 in increasing order.\nAnswer: -102, -3, -2, 2, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3322 (base 12) to base 3.\nAnswer: 21201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221 - -122?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6254735 and 53790721.\nAnswer: 268953605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 724540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 524 (base 8) to base 16\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*x + 10 - 21 + 11 + (-3*x + x + 4*x)*(-2 + 1 + 0) + 2 + 23*x - 2.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -27. Let j = l - 9.6. Put j, -1\/7, -1\/4, -3\/8 in descending order.\nAnswer: j, -1\/7, -1\/4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21794*a**5 + 2*a**2 + 290*a + 2 wrt a.\nAnswer: -1307640*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 39091*b - 39063*b. Solve -71 = b*p - 45 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015679287.\nAnswer: 7, 23, 131, 48157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119284 - 160800 = -27*f - 42187. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*h + 13 = 0, -30*h = -3*z - 25*h - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4045 is divided by 1576?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooohoo. What is prob of picking 1 h and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 36*b = 2800. Calculate the least common multiple of b and 245.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -20)\/(-7) + -1. Suppose 0 = y - 2*n - 11, -3*n = 2*n + 20. Solve -y*s + 13 = r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1187*m + 33. Let b(v) = -1183*v + 40. Determine -5*b(t) + 6*p(t).\nAnswer: -1207*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:23 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 395967529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*t**2 + 200*g*t - 5063053*t**2 - 20404 wrt t.\nAnswer: -4*g - 10126106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -422 - 574. Let o be f\/30 - 2\/(-10). Let u be (16\/6)\/((-1)\/o). Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 59. Let z be (-44)\/p*1 - 1. Calculate the greatest common divisor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50250746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-4\/7))\/m**(-4\/5))\/((((m**1*m)\/m)\/m)\/m)**(1\/58))\/(m**(-2)\/m**1)**(-8\/3) assuming m is positive.\nAnswer: m**(-13711\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1312 + -1290. Let a be 130\/(-2)*(0 + 1). Let c = g - a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -14. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 27 = -5*r, -o = 84 - 85 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*h - 29*h + 70*h**3 + (-2*h**2 + h**2 + 2*h**2)*(0*h - h - h) in the form k*h**2 + u + v*h**3 + j*h and give v.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 111*x - 116*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y. Let t(u) = -18221*u**2 - 788*u. Calculate t(k(w)).\nAnswer: -892829*w**2 + 5516*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332799507 and 1917?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*w - 11, 5*i - 20 = -251*w + 246*w. Solve -6*f + f - i*n + 10 = 0, -2*f + 4*n = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4751.172 hours to seconds.\nAnswer: 17104219.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.268977 rounded to 3 dps?\nAnswer: -13.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**3 - 14*l**2 + 12*l + 13. Is u(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107152*u + 107152*u + 73 + 3536*u**2 - 73.\nAnswer: 3536*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 20. Let b be u(6). Let y(l) = -l**2 + 14*l - 33. Let i be y(7). What is the greatest common divisor of i and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708815 = -6*p - 3911185. What is p rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -42, -83, -140, -213, -302, -407?\n\"Answer: -8*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saushaxusuuaauq. What is prob of sequence xsh?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 3:25 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 22970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/120 + 7*y**3\/2 + 19*y. Let x(f) be the second derivative of g(f). Let u be x(-1). Solve u = m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -3. Let y(h) = 2*h**3 + 3 - h**3 - 2*h**2 - 3*h**2. What are the prime factors of y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 686.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.579812g?\nAnswer: 9579812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 9*t - 16. Let j(k) = -k**3 - 4*k**2 + k. Let a(z) = -6*z**3 - 20*z**2 + 5*z + 1. Let g(i) = 2*a(i) - 11*j(i). What is g(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8580167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4828049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 63 + 4*o - 98.\nAnswer: 2*o - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18941 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 370\/(-96) + -29*27\/(-783) and -131\/108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -22*w - 72. Suppose 0 = -2*s - 4*m + 22, 0 = 61*m - 59*m - 14. What is j(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5438 - 0.543769746. What is f rounded to 7 decimal places?\nAnswer: 0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -3 + (7 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 not equal to -1.27273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 897 (b) 2\/3 (c) -315\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3285*r**4\/2 + 7381*r + 8205. Differentiate h(v) wrt v.\nAnswer: -19710*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4769 - 4769.6. What is the fourth smallest value in k, -5\/4, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101817 is divided by 12725?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88598221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**29\/s*s)**(13\/7)\/(s\/s**(4\/21)*s**1))**(-25) assuming s is positive.\nAnswer: s**(-28300\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646 is divided by 321.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 55. Let j(d) = -d**3 + 10*d**2 + 2*d - 38. Let l be j(10). Let c be a(l). Sort c, 3, 23 in increasing order.\nAnswer: c, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7088337899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*l - 2*l - 2*l)*(-l + 6*l + 0*l) + 26*l**2 - 13*l**2 + 18*l**2)*(1 + 1 - 6) in the form x + r*l**2 + z*l and give r.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227638\/29 + -7848. Let k = 52\/131549 + 284268341\/22889526. Let p = k - s. Find the common denominator of -59\/16 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 + r + 2. Suppose 5*l - 12 = -q, 2*q + 2*l = -0*l. Let o be m(q). What is the greatest common factor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245 - 45*q**2 + 246 - 985 + 252 + 242.\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7652079 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:53 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 10*a + 9. Let x be j(11). Let y be 2*x*(-1)\/(-4). Is y*3 + 28\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 391*n**2 + 111*n + 215. Let g be b(-2). What is the highest common factor of g and 1384?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - t = h + 64, 3918*h - 3913*h - 168 = 3*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 22. Let o be u(7). Calculate the remainder when 447 is divided by 64\/6 - (o + (-76)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let k be o\/((-3)\/((-30)\/2)). Let b(x) = x**2 - x + 4. What is the tens digit of b(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1100)\/120*2*(-420)\/(-175)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 196098*v + 392212.\nAnswer: -2*(v - 2)*(2*v + 98053)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -2. Suppose l - 3 = -0*l, 0 = -5*h + i*l + 225. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Let c be 1 + (g + -1)\/1. Let u(o) = -6*o - 3*o**c + 3*o**2 + o**2. Calculate u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akla when four letters picked without replacement from {a: 8, k: 4, l: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331\/332 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -1149\/4 (c) -0.0875 (d) -2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 295\/(-4130) + (-2773)\/(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(5\/(-8280)*4) - -5. Is 833 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189543 divided by -3172\nAnswer: 189543\/3172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 0) + 5\/((-15)\/12). Let r be (-1 - (-15)\/10)\/((-1)\/o). What is the closest to -0.1 in -3, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(153)*1 + 1 - -1*(-1 + sqrt(153))) + 2*(sqrt(153)*1*-4 + sqrt(153) + (sqrt(153) - -1*1*sqrt(153)) + sqrt(153)))*5)**2.\nAnswer: -1500*sqrt(17) + 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/7))\/(t*t*(t**(2\/13)\/t)\/t*t)*(t**1*t)**(3\/5) assuming t is positive.\nAnswer: t**(541\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s + 5*c - 8, 0 = -4*c + 4. Let q = 9 + s. Suppose -2*d + 180 = -4*p, 4*d - 8*p = -3*p + 345. Calculate the greatest common divisor of d and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13932 - -13931.8. Which is the second biggest value? (a) u (b) 9\/7 (c) -1 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 less than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - t = -203, -3*z - 2*t - t + 24*t - 93 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 656*q**3 + 62*q**2 - 59*q - 3. Calculate l(1).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 60*n**2 - 187*n + 33. Give q(63).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, y: 2}. What is prob of sequence ss?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3*7\/(-147))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 37 - 32, -479689 = -4*l + 5*a. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -855.8502 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -7. Let a be 14*(y\/6 - 0). Let p(h) = h**3 - 7*h**2 + 2. What are the prime factors of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen ninths of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90148133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.06 + 0.96. Which is the closest to 1\/5? (a) 0.4 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:47 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 1 - 3*g + 0. Let r be y(-3). Let o = -2 + -1. Sort o, r, -4 in descending order.\nAnswer: r, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 3. Let q be 2\/(-2) - (-14)\/2. Suppose -h + 1 = q. Calculate j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g - 11. Let y(f) = 5*f - 4. Give -6*c(n) + 17*y(n).\nAnswer: -5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmutmmurumtt. What is prob of sequence rtm?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 173474, 173474, 173476, 173480, 173486, 173494, 173504?\n\"Answer: s**2 - 3*s + 173476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4304047 + 4304047 - 157*b**3.\nAnswer: -157*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * 14.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*a = 358, 4*k - a + 88 = 5*k. Suppose 50*t + 9 = -k. Let w(x) = -4*x + 1. Let n(r) = 5*r - 2. Determine t*n(g) - 3*w(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 8*y + 10. Suppose 2*j + 0*r = -r - 11, -4*r - 4 = 0. Let b = j + 12. Calculate the remainder when v(b) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -27*u**2 + 1 - 32*u**2 - 5 + 60*u**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 37*z + 166. Let k(r) = 36*r + 199. Calculate -3*k(a) + 4*v(a).\nAnswer: 40*a + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, n: 7}. What is prob of sequence nh?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 + 25*d - 26. Let t be r(-20). Solve -8 = t*h + 2*s, -3*s + 5*s = 2*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 1:43 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177466.\nAnswer: 2, 89, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23102478 a multiple of 3039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -12224223?\nAnswer: 12224223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98\/60 + (-16)\/120. Let m = 73 + 14. Let v = 87 - m. What is the second biggest value in 3\/14, y, v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/((-8)\/240). Let a = y - -15. Solve 0 = s - a*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/385 + 108\/385. Which is the nearest to -1? (a) r (b) -1\/10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**5 + 4\/3*c**6 + 0*c**3 + 0*c**2 - 30 + 0*c + 1\/2*c**4. Factor p(a).\nAnswer: 2*a**3*(a - 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 414, 686, 962, 1242?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.2 - 59.75.\nAnswer: -71.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 26*l - 18. Let y be w(10). Calculate the highest common divisor of 231 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/(1\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41218 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(0 + 0 - c) - 4*c - 5 + 5 + (-c + 0*c - c)*(-2 + 2 + 2).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0114 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-556)\/(-2780)*10\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3290*l + 3255*l - 140 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -13*y - a + 101, -4*a - 29 = -972*y + 967*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9728 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3934200 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.724 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3345*a - 46159. Determine l(14).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/33 and (42\/(-9))\/((-16)\/52)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 113057 = 32449. Suppose -s = 4*r - 63352. What is r rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -30*y**4 - 11*y**3 - 46*y**2 - 11. Let s(d) = 6*d**4 + 2*d**3 + 9*d**2 + 2. Let h(w) = 2*m(w) + 11*s(w). Find the third derivative of h(f) wrt f.\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/(27\/(-21)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*x + 1250 = -4*x, -x - 1245 = -5*m. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*k**2 - 66*k**2 - 215*k**2 to m + y*k + f*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = -3*v + 2*v, 4*v + s - 47 = 0. Suppose 15*x = v*x + 3692. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 9. Let r(t) = t**2 + 7*t - 12. Let h be r(-7). Let v be b(h). Let o be v + (-2 - -4) + 0. Solve 4*m + f - 9 = 0, -f = -o*m + 2*f - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 471917 and 797779.82?\nAnswer: 325862.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85949?\nAnswer: 61, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**2 + 10*w + 19*w**2 + 3 - 47*w**2 + 16*w**2. Calculate z(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 5\/187 (c) 0.4 (d) -3 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -111*h**5\/5 - 110*h**2 + 217*h. What is the first derivative of c(w) wrt w?\nAnswer: -1332*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 5922059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*-2*sqrt(114)*5)\/((sqrt(54)*3 + (sqrt(6) + sqrt(150))*1)*4).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kttk when four letters picked without replacement from {k: 2, t: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 9*g + 11. Let j(o) = 0*o**3 + 3 + 2*o**2 - 2*o + o**3 + 2*o**2. Let n be j(-5). Is s(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15589 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 42. Let o be t(-5). Suppose -4*u + o*u = 42. Calculate the lowest common multiple of 38 and u.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 117*g**2 + 8778*g.\nAnswer: -3*g*(g - 38)*(g + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 10*q + 13. Let l be p(-2). Let h(j) = j**4 + j**3 + j**2 - j. Let v(s) = -12*s**4 - 8*s**2 + 4. Let c(u) = l*v(u) + 8*h(u). Factor c(a).\nAnswer: -4*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002845766725 rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s - 3. Let g be r(-2). Let w be (g + 0)\/((-2)\/(-158)). Suppose 3*m + 2*m - w = -j, 44 = 4*m - 4*j. Solve -m = t - 6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let n = 7237.5 - 7238. Sort 4, o, n, -8.\nAnswer: -8, n, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 4*c**2 + 80465 + 80475 - 241402 - 7*c + 80462.\nAnswer: -6*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -43, 0, -5 in increasing order.\nAnswer: -43, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from xazxzaazabbbaaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (23 - 5) + (75 - 21) + -14.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2 + 91*f - 43. Give r(23).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*w - 4*w. Let s be (w\/(-12))\/((-1)\/4). Let y = s - 4. Calculate the remainder when 8 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/468)\/(3\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/780 and 41\/61100?\nAnswer: 183300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - 3*k - 438*k**2 + 216*k**2 - k**3 + 219*k**2 + 4*k**4 in the form v*k**4 + y + l*k**3 + p*k**2 + a*k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.21 - 58.41. Let b = o + 45. Round b to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(4\/5)*v)\/v**(-3\/5))\/(v*v**(3\/2)*v\/(v**0*v)*v))\/(v**4*v*v*v*v*v\/(v**3\/v*v)*(((((v**(4\/3)*v)\/v)\/v)\/v)\/v)\/v**(-2\/13)) assuming v is positive.\nAnswer: v**(-2179\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:26 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (6 - (11 - 5) - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3280 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -396.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17065614 * 0.1\nAnswer: -1706561.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2682923 and 153?\nAnswer: 24146307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6448.889 to the nearest 10.\nAnswer: -6450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/40)\/((-27)\/756)*(-2)\/(-28).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 17200?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 6*t**2 + 2*t - 3. Suppose -2*q - 5 = y + 1, 0 = 3*q + y + 11. Let s(z) = -z + 1. Let l be s(q). Determine d(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = l - 6, 27*u = -5*l + 25*u + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 588744 != 588746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10 + -13 + 50\/(-28) and 65\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6008 + -1010?\nAnswer: -7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 0 + sqrt(1900) + 4 + -1 + (sqrt(1900)*-2 - sqrt(1900)) - 2*(sqrt(1900) + (sqrt(1900) + 0 + sqrt(1900) - sqrt(1900)) + 1))**2.\nAnswer: -100*sqrt(19) + 47501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 669.9674l?\nAnswer: 669967.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18*15)\/((-70)\/(-168)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115 and 207?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 146442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24902 (base 12) to base 11.\nAnswer: -34366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:34 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**3*s*x + 3*r**3*s - 3*r**2*x + 2*r**2 - 210*r*s*x - r*x wrt r.\nAnswer: -30*r*s*x + 18*r*s - 6*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 5*l - 2*l)*(-l + 2 - 2)*(0*l - 3*l + 0*l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46995066 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 6. Let l be n(4). Suppose 0 = -5*k + 38 + 72. Is l greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13960, 27914, 41854, 55774, 69668, 83530, 97354, 111134?\n\"Answer: -z**3 - z**2 + 13964*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319 and 66.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y**2 + 59*y**3 + 49*y**2.\nAnswer: 59*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -246 + 269. Suppose 0 = 4*a - 12, -11*a = -3*z - 7*a + 51. Solve z*p - c*p = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(1*sqrt(170) - sqrt(170)) + sqrt(170) + -5*2*sqrt(170) + sqrt(170) + sqrt(170))\/(5*sqrt(1210)*1).\nAnswer: 7*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 42, 5, -12.\nAnswer: -63, -12, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*x + 13, -4*x + 3 + 0 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: c98b0 (base 15) to base 2\nAnswer: 10011100001101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 + 4*h**4 + 2*h**4)*(19*h - 1 - 22*h + 7*h).\nAnswer: 36*h**5 - 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxc. Give prob of sequence xx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3106366 (base 7) to base 3\nAnswer: -200220022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1386 - -1386.1. Let r = -4 + 2. What is the second smallest value in r, j, -1\/4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - k - 79 = 7*b, -b - 3*k - 23 = 11*k for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/12 - 11*a. Let i(n) = -n**2. Calculate r(i(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 9:06 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/3 + -1 + 2. Let h(r) = 9*r**2 + 2*r + 1. List the prime factors of h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -871495 + 1604804. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.566359 times 5.6\nAnswer: 8.7716104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/76)\/((-11)\/44)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-14)\/(-10))\/(-7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409410 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 2.4. Let l = 12 + -6. Suppose -6*n + 3*n - l = 0. Put n, -1\/5, i in decreasing order.\nAnswer: i, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-25)\/(-4))*10\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -1\/7, 3\/5 in decreasing order.\nAnswer: 3, 3\/5, -1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2186 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1450 and 570662.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/5 - 36*u**3\/5 - 199*u**2\/5 - 246*u\/5.\nAnswer: u*(u - 41)*(u + 2)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/93300 and 33\/16.\nAnswer: 373200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 45368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/(6\/60*-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 13*d + 5. Let a be b(14). Suppose a*y - 10*y - 1494 = 0. List the prime factors of y.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136948915?\nAnswer: 5, 27389783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 0 + 2*d**3 + 2*d**2 + 3 - 3*d**4 to the form p*d**3 + z*d + h + w*d**2 + b*d**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 3*s**2 - 2*s - 3. Let x be u(-3). Is x - (2 + (-8 - -3)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17148150 and 9450.\nAnswer: 360111150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 4, 1, 3, -7\/145862?\nAnswer: -7\/145862","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-7 + 0 - -1) + 30 - -55\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -602, -3, 2, 22 in increasing order.\nAnswer: -602, -3, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.00306 + -229.04194. Let o = 230 + f. Round o to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/6*483 + -5. Suppose -k - 15 = -5*b - 132, -n = -5*k - 2*b. What are the prime factors of (-6)\/(3 - 1) - k\/(-1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 - c - 3. Let y = 9 - 10. Let j be y*4*-1 - -1. Suppose -j = 2*g + 3. Give t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (112\/(-20))\/(2\/(-5)). Suppose 5*j + 86 = 2*c, 0*j = -4*c - 5*j + 202. What is the remainder when c is divided by 8\/t - 462\/(-49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 4*f + 5*f**4 + 0*f**4 + f**4 + 3*f**4 + (-2*f**3 + f**3 + 7*f**3)*(10*f - 8*f + 19*f).\nAnswer: 135*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81483869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138 - 16*q - 138)*(15 - 29*q**2 - 15).\nAnswer: 464*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12 and 0.025.\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*j = 15. What is the remainder when j\/10*292\/(-6) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*z = -1068*z + 12160 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 734060 and 32.\nAnswer: 5872480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1550 in -1\/7, 1\/2, -0.11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozoooozmbzozzl. Give prob of picking 1 b and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26655.\nAnswer: 3, 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 6, w: 13}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -6066399.\nAnswer: 2\/6066399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*d + 13 - 391, -2*y + 7*y + 10 - 26 = d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*k*t**5 + k*t**4 + 253*k*t - k wrt t.\nAnswer: -1440*k*t**3 + 12*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 9. Let i be z(8). Calculate the remainder when 3 - i - (5 + -53) is divided by 5\/((-25)\/(-10)) - -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 plus -549?\nAnswer: -547.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100000101111110 - -11?\nAnswer: -110100100000101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - -117) + -3 + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -40*j**3 + 225*j**2\/2 + j - 116. Find the second derivative of q(f) wrt f.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 0*l + 4*l - 2*l. Let k be (2*1)\/(3 - 1). Let r(t) = 4*t - 1. What is k*r(u) - 3*v(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*z**4)*(-7*z + 2*z + 2*z).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 0. Let b = -29 - -28. Sort -5, b, s in decreasing order.\nAnswer: s, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 499592 + -499589. Let d be 0\/(-2)*(-2)\/4. Suppose v - 2 + 0 = d. Solve b*j - 2 = -v*u, -u + 8 = -3*j + j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4, -m - 4*m = 4*h + 11. What is the common denominator of (-705)\/(-100) + -3*m and 51\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32898785498 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**3\/3 + 7*u**2\/2 + 14*u + 6. Let x be z(-10). Calculate the greatest common factor of 66 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0927924 minutes in days?\nAnswer: 0.0021477725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (26 + -40 + -1 + 72) - -7.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 48 - 12. Let f(h) = 2*h + 2. Let r be f(-5). Let d be (0 - 1)\/(j\/r). What is the closest to 2 in d, -2\/13, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.11 - -0.11. Suppose 4*s = 3*x + 11 - 1, -5*s + 20 = 0. Suppose 0 = 4*j - x - 2. Sort 3, j, f in increasing order.\nAnswer: f, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w - 2*y + 6*y, 0 = -5*w + 4*y + 12. Let x = 6 - w. Suppose -4*n + 4 + 0 = 4*r, 13 = 5*r - 3*n. Calculate the smallest common multiple of r and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 749 and 963?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35469 is divided by 277?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9835, -39383, -88637, -157597?\n\"Answer: -9853*u**2 + 11*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 114.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12819 and 525?\nAnswer: 2243325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1. Let g(r) = r - 6. Give -g(j) + 3*u(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**3 + 2*l**2 - 10*l - 2. Let b(u) = 10*u**3 - 7*u**3 - 4 + 3*u**2 - 3*u**3 - 19*u + 13*u**3. Let o(j) = -6*b(j) + 11*f(j). What is o(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 291 and 21146.\nAnswer: 63438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19827887479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/4))\/t)\/t*t)**(-1\/29)\/(t**(5\/7)\/(t*t**30)) assuming t is positive.\nAnswer: t**(24585\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*v**2 + 63171695*v + 7289040 = 0.\nAnswer: -485936, -3\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 221\/26 + 2\/(-4). Let o = 16 - b. Suppose 0 = 5*w - w - o. Which is greater: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/25*-10*10\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20*-12*4\/(-30). Let q(n) = 7*n**2 + 10*n - 1. Let o be q(-3). Calculate the greatest common factor of o and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*i = -657, -3*p - i = i + 1931. Suppose -3*r - 5*f + 2*f = -4029, 3*r - 4*f = 4022. Let l = r + p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107\/(4066\/(-1539))*-2\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r. Let o be g(-2). Suppose -k = -5*k + 8. Suppose s - 20 = 3*w, 0*s - 30 = -s - k*w. Calculate the highest common divisor of o and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.9 + -9.9. Let s = v + -39.875. Round s to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y**3 + 160*y**2 + 184*y + 32 = 0. What is y?\nAnswer: -2, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 926476840 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63065562 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -69. Let n = -132 + 292. Calculate the greatest common factor of n and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 48999.\nAnswer: -2\/48999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 43*g**2 + 767*g + 118. Determine y(-16).\nAnswer: -1146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-6))\/n**(-4\/3))**16 assuming n is positive.\nAnswer: n**(448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17370 and 500346.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:09 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5401*h**3 - 4*h**2 wrt h?\nAnswer: -32406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 2:37 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 3*u**6\/10 + 11*u**2\/2 - 21*u. What is the first derivative of p(h) wrt h?\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 96*r**2 - 208*r - 178. Calculate c(98).\nAnswer: -1354","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is -147559 greater than or equal to -147670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 plus 317?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0534744 days to minutes.\nAnswer: 77.003136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4)**1)**4 assuming c is positive.\nAnswer: c**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29627612 and 4123?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/401, 3, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -13*u**3 + 0*u - 9\/8*u**4 + 1\/4*u**5 + 0*u**2 + 40. Let b(a) be the third derivative of c(a). Differentiate b(h) wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 6023, -49.6, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178 - -163. List the prime factors of (h\/20)\/(60\/32)*-745.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 + 1 - 3*o - 22*o**3 + 4*o**2 - 2*o**2 + 5*o. Let n be (84\/(-8))\/((-9)\/(-12)). Let k be (27\/12)\/3 - n\/(-8). Give w(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*r - 23, 1 - 37 = -4*x + 2*r. Let q(p) = 10 + 3*p - 3*p**3 + 0*p**2 + 3*p + 2*p**3 + 6*p**2. What are the prime factors of q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 12*p - 3*u = -4, 3*u = -12. Solve -5*l = 4*n + 21, -2*n = -p*n - 5*l - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 - (3 + -4)) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901 is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2. Let c(q) = -43*q. Let t be c(-1). Let k(u) = u + t - 43. What is d(k(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229290.\nAnswer: 2, 3, 5, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i + 1. Let k(v) = -51*v - 9. What is -21*f(h) - 2*k(h)?\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 14. Suppose 1 - 5 = -p*h. Suppose -2*q - 7 = -h. Sort -4, q, -5 in ascending order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 74*z - 63*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - -2*(sqrt(65) - (4*sqrt(65) + sqrt(65))) - (sqrt(65) - (sqrt(65) + 3*sqrt(65)))*-4)\/(2*sqrt(80)*1 + (sqrt(80) - -1*sqrt(80))*6 + sqrt(80)).\nAnswer: -19*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 3*s**3 + 2*s**3)*(-3*s**2 + 3 - 3) - s**5 + 5*s**5 + 2*s**5.\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:15 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 3. Suppose 608 = j*v + v. What is the greatest common factor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:07 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/5 (b) -0.1 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610940 is divided by 3413.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 276932 + -9.4996965.\nAnswer: 276922.5003035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 143, 187, 259, 365, 511, 703, 947?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/1674165 and 43\/10044990?\nAnswer: 10044990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -37960.8 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11440)\/(-12) + 3\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19371949 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22390.\nAnswer: 2, 5, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*(-10)\/4*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 greater than or equal to -4665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-4)*(-1 - -4) and 2*51\/80*4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -43*a**2. Let s(y) = -23*y**2 + 9*y**2 + 12*y**2. Calculate h(s(t)).\nAnswer: -172*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 19 - 1 = 0. What is the tens digit of ((-6)\/o)\/((-6)\/(-188))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, r: 7, g: 5, o: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 12*d**2 - 4*d - 16. Let u be p(-10). Let c = u - -1413\/8. What is the common denominator of -103\/20 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -42) + 1 + -3 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 - 6*z**2 - 2*z**2 + (-z + 0*z + 0*z)*(-3*z + 12*z - 2*z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (7 + 1 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q**(2\/3))**(-38) assuming q is positive.\nAnswer: q**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -175 (base 8) to base 14\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-12)\/(-32)*-4))\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - s - 2. Let p be h(2). Put p, 3, 0.04 in decreasing order.\nAnswer: p, 3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (18 - (-10 - -12)) + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*k**3 - 4448*g**3*k**2 + g**3 + 3*g**2*k + 8*g**2 - 7*k**3 + 21*k wrt g.\nAnswer: 6*k**3 - 26688*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -113*v. Let n(k) = 44*k - 63. Let z(i) = -660*i + 924. Let t(l) = -44*n(l) - 3*z(l). Calculate t(a(d)).\nAnswer: -4972*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 912?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4036*s**3 + 5430 - 1525*s**3 + 2548*s**2 - 5430 wrt s?\nAnswer: -33366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42171 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30c66 (base 16) in base 6?\nAnswer: 4140530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/2 - 3*d**2\/2 - 189*d. Determine n(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.226 - 24.226. Which is greater: -173 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13*p**3 - 4*p**2 + 2*p. Let l(n) = 5*n - 11*n**2 - 7*n**3 + 2*n - 32*n**3. Let k(a) = -7*h(a) + 2*l(a). What is the third derivative of k(m) wrt m?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j**2 + 31 - 31)*(-2*j - j + j).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10650.2 - -10650. Let o be ((-6)\/8)\/(99\/(-176)). Which is the closest to n? (a) 2 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3627.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r + 724. Let f be d(-45). What is the greatest common factor of 62 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5648 (base 12) to base 13\nAnswer: -4475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.67811 - -0.02189. What is the third smallest value in 0.3, 2\/5, 0.1, -3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from anaaajjiiaiiaiajjaaj.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10424364 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or 12.7?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4.44, -2\/5, -3, 1341, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-22)*(2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 362*s = -1238*s - 30191 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 4*v**2 + 16*v - 13. Calculate z(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**3 - 3. Let o(z) = -2*z**2 + 4*z - 8. Let b(q) = 2*q**2 - 5*q + 10. Let m(u) = -4*b(u) - 5*o(u). Calculate m(k(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -291\/16 - -2095\/112. Let t be (-2)\/(-10) - 122\/560. Let w = b + t. Sort -0.2, w, -2 in increasing order.\nAnswer: -2, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 31. Let t(c) = -15*c**2 - 612*c - 5. What is x(t(q))?\nAnswer: -15*q**2 - 612*q - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2630 and 292193.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 9*t**2 + 5*t - 13. Let l be p(-8). Calculate the greatest common factor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150504?\nAnswer: 2, 268813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2969.4000029864 + -2969.4. What is y rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 11:46 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 43. Suppose -3*s = -16*v + 12*v - 9, s = g*v + 8. Are -7\/3 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ispfsaaafagpaappp. What is prob of sequence saif?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3278058, -6556269, -9834480, -13112691, -16390902?\nAnswer: -19669113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 2.96. Let t = o + -2. Let s = -118 - -123. Which is the third biggest value? (a) 0.2 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291080332.\nAnswer: 2, 3, 190923361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 36. Let x be g(-32). Suppose x*u - 22*u = -54. Solve 5*a + u = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 2. Let k be f(5). Let q be 3 + -8 - (-12 + 5). Suppose 2*v - 17 = -d, -q*d + k*v + 34 = v. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1824266 and -0.01?\nAnswer: 18242.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-13))**44 assuming a is positive.\nAnswer: a**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 625 and 14000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/135 (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768.4806 nanograms to kilograms.\nAnswer: 0.0000000007684806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s + 5*b = 19, 0 = 4*b + 4. Let m(q) = q**3 - 9*q**2 + 8*q - 4. Calculate m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1484876\/181 or 8204?\nAnswer: 1484876\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5044.9 - 5046. What is the closest to 6 in -0.03, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -510, -615, -772, -975, -1218, -1495?\nAnswer: -1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18181, -18297, -18441, -18613, -18813, -19041?\n\"Answer: -14*y**2 - 74*y - 18093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1117094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/106)\/(558\/44361)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 48, 2.\nAnswer: -106, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2944267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1290\/(-75) + ((-4)\/5)\/1. What is the common denominator of -13\/12 and 114\/l + 7 + 125\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/20 + p**3\/6 - p**2\/2 + 30*p. Let h(u) = 8*u**3 - 7*u + 7. Determine -5*h(z) - 35*t(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 94*g\/3 - 2209\/3.\nAnswer: -(g + 47)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045310166 - 145*m**3 + 1045310166.\nAnswer: -145*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 21\/2 (c) -81\/8 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310553 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 430 by -5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 1876\nAnswer: 1876.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 0 - -16) + 6 + -20 + 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/447 + 595\/447. Let m = -21.9 - -21. Let h = m - 0.1. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {o: 8, v: 2, n: 2, y: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -89, 139, -0.7?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 112*n + 5 + 6*n**2 - 119*n - n**3 + 2*n**3. What is a(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k**2 - 2*k)*(1 + 2 - 4) - k**2 - 4 + 4 - 3*k + k**2 - 3*k + 0*k.\nAnswer: 2*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1058*n + 1028*n = -120 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 23474*g. Let n(z) = 97*z. What is -970*n(w) + 4*x(w)?\nAnswer: -194*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2439211089 * 5.\nAnswer: 1.2196055445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(448) - (-3 + -3*sqrt(448))) + 5)**2 - (6*(2 + sqrt(448)) + (sqrt(448) - (sqrt(448) + sqrt(448) + (sqrt(448) - (sqrt(448) + 3 + 4))))).\nAnswer: -168*sqrt(7) + 7153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.609 + 0.009. Let n = -9.5 - h. Which is the nearest to n? (a) 3 (b) -4\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/56 in 0.5, -2\/7, 9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 177*o**3 - o**2 + 2*o - 2. Determine p(1).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25767444 and 34356592?\nAnswer: 103069776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5945 - -5932. What is the nearest to f in 0.09, 2\/9, 2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23899 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 116, 117, 118?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 20*y = -15. Suppose 64 = -y*n + n. Is n < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.467 to the nearest integer.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:24 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1754 = -2*r, 3*r - 33 = f - 1802. What is the greatest common divisor of f and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from ppupppppupudppppp?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 31. Suppose 0 = -5*o + 20, x = 3*n - 0*n - 2*o. Is 3 a factor of n + 12\/9*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/139 - 311\/417. Which is the fourth biggest value? (a) -9\/2 (b) 3\/4 (c) s (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 a when three letters picked without replacement from {a: 2, s: 3, w: 9, e: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -71, -280, -687, -1358, -2359?\nAnswer: -3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.98 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqho when four letters picked without replacement from {q: 2, o: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*f + 4*f. Let z be 40510 + (f - 6) + 2. Suppose 4*u + z + 4079492 = 0. Round u to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 52*u**2 - 109*u - 59. Let b be a(-54). Sort b, 12, 151 in descending order.\nAnswer: 151, 12, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 130465.103494?\nAnswer: 130465.203494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12394 = 4*m, -3*m - 15226 = -2*j + 9562. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.092*0.02\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**42)**43 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 + 9*z - 65. Let j(r) = -r**3 + 2*r**2 - 6*r + 65. Calculate 3*j(h) + 2*o(h).\nAnswer: -h**3 + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*o - 30 = 0, 0 = o - 5*o + 16. Let a be 7\/(-3)*r*3. Let u = 16 - a. Solve y = -u*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 3. Let k(m) = 1 + 4 - 4. Let z(s) = -4*h(s) - 14*k(s). Calculate z(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.49 + -53.5. Let l = -42 - k. Which is the third biggest value? (a) 0.5 (b) 0.4 (c) 0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-84))\/((-31)\/((-2883)\/(-62)))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = -5*u + 55, 2*u = -3*q + 25. Suppose 0 = 5*b - u + 11. Solve 2 = -2*l - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*r - 275*r - 580 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.033, -45\/4, -14 in decreasing order.\nAnswer: 0.033, -45\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 19. Let d = -1415 + 1415. What is r(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/442 and -2\/1547.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000517522 to 5 dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/13)*x)\/(x*x**(-3\/5)\/x)*(x**(-1\/12)*x)**(-14\/3))**(21\/8) assuming x is positive.\nAnswer: x**(-20671\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, 1, 9\/2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38818 and 24856?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33.4 or -113\/7?\nAnswer: -113\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 2:20 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -8. Let v = s + -13. Let r be (-2)\/24*(-6)\/v. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1182280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -864*v**3 + 560*v**2 - 118*v + 8 = 0?\nAnswer: 4\/27, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3*n**2 + 2*n**2)*(0*n**2 - 4*n**2 - 3 + 2*n**2).\nAnswer: -6*n**4 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 4*f + 3. Let v be t(4). Let q(k) = k**2 - k - 1. Let r be q(v). Suppose -4*y = -2*j - 3*y + 54, r*y + 10 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86185528 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 63 (base 13) to base 4\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*i + 27, -i + 9 = -3*o - 0*o. Let c be 6\/(-21) - i\/(-7). Let y = c + 3. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, o: 1, d: 1, y: 1, b: 6}. Give prob of sequence bo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16808 = 191*c - 60356. Calculate the lowest common multiple of 532 and c.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + i = -2*i - 24, 2*i = -8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(5) + (sqrt(5) - (0 + sqrt(5))))**2 - (-1*sqrt(320))**2) + 3 + ((-1 + sqrt(5) - sqrt(5))*1 - ((6*sqrt(5)*2 - sqrt(5)) + sqrt(5))))*-6.\nAnswer: 72*sqrt(5) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose w + 1 = -2, p = 5*r - 2*w + 269. Let f be 2\/(-11) - (-2465)\/r. Round f to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -5\/4 (c) -0.3 (d) -315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/4 + b**3 + 3*b**2\/2 - 1. Let w be d(4). Suppose -5*z + 20 = -0*z. Put z, -1, w in descending order.\nAnswer: z, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(6*(-1 + sqrt(17)) + sqrt(17)) + 1)**2.\nAnswer: -798*sqrt(17) + 7858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 187?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/11 smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 3*i + 5. Let n be q(4). Let w(j) = 8*j**2 - 106*j - 207. Let m be w(15). What is the greatest common divisor of m and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683614491.\nAnswer: 3, 7, 32553071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10667126 is divided by 1185221.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -50.6. Suppose 0*h = -2*h - 5*j - 10, 0 = 5*h + 3*j + 6. Let s = 4.8 - 4.7. Which is the nearest to s? (a) r (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24681\/49362)\/((-4)\/10 + (-39)\/(-110))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-555)\/54*1998\/3330.\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 19. Let r(w) = 3*w**2 + 2*w. Determine r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.048 + 0.348. Let m = 7 + -1. Let n = 4 - m. What is the biggest value in o, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/96 and -175\/13728?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*d - 1134 = 395*d. Calculate the greatest common factor of 3069 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7576, 15154, 22732?\n\"Answer: 7578*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -10.07. Let j = -2.93 + k. Let s = j - -3.000066. Round s to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8914.7 to the nearest one hundred.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-38)*14\/(-21).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10\/n*n**(2\/9) assuming n is positive.\nAnswer: n**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Suppose y = -3*w - 3*l - 12 - 0, 0 = 4*l - 8. Let i(b) = -b**2 - 6*b + 7. Is i(w) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/120 + n**5\/12 - n**4\/6 + n**3 - 2*n**2. Suppose 0 = -0*r + 3*r - 3*j - 9, 0 = 3*r - 4*j - 8. Is x(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 + 268873205*u**2 + 9936577*u + 1 wrt u?\nAnswer: -6*u + 537746410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/6452985 and -26\/45170895.\nAnswer: 45170895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 30*d**2 + 99*d - 1402. Does 22 divide a(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 44. Calculate the smallest common multiple of 48 and h(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/4 - 45*q**3\/4 - 177*q**2\/4 - 135*q\/4.\nAnswer: -3*q*(q + 1)*(q + 5)*(q + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c + 6. Suppose 0 = -5*d + 7 + 3. Suppose -d*p + 26 - 6 = 0. Solve -c*z + p = -5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*h - v, 5*h + 3*v - 136 + 3 = 0. Let g = 26 - h. What is the closest to g in -3, -3.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-33) + (-114)\/(-22). Suppose -l*h + 22 = 3*m, -3*m + 5*m + 3*h - 13 = 0. Let z(s) = 2*s**2 + 2*s + 1. Let c be z(m). Solve -x - c = 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*3\/(-6)*1. Suppose -y + z = -1. What is g in 12*g**4 - g + g**2 - 13*g**3 - y*g**5 + 5*g**2 + 0*g**2 + 0*g = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (3 - -1) - (9 + 5 + -14 + -10)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -54.5. Suppose -2*r + 0*r + 14 = j, 44 = 4*j + 4*r. Let h be (3\/(-10))\/(6\/j). Which is the closest to h? (a) 0.4 (b) z (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 + (5 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 0*u + 2239*u**2 + 3297*u**2.\nAnswer: 5536*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5. Let b(z) = -2*z + 1. Let i be b(y). Let c be 11\/1 - 3 - i. Solve c*l - 12 = -3*d, -d - 2*l + 2 = -2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j + 146. What is n(-25)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 4*o**2 - o - 4. Let x be y(3). Factor 22*m**2 - 23*m**x - 2*m + m.\nAnswer: -m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c - 17. Let x be d(7). Let t = 19 + x. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -32)*(4 + (-7 - 1)). Find the common denominator of k\/33*1 - -5 and -7\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 3*m - 3*m**2 + 0*m**2 + 5*m**2 to x*m**2 + v + k*m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 1. Let l(f) = -1. Let d(t) = 17*t + 1. Let y(s) = -2*d(s) + 2*l(s). Let z(k) = -14*n(k) - 3*y(k). What is z(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -29, 3, -1, 8, 1\/2, 1.59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-16) - 17\/2. Let y(t) = -t**3 - 8*t**2 - 2*t - 9. Let j be y(b). Solve -2*i - 2 = -2*f, -j = 3*i + 4*f - 3*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/2139 - -4\/69. Let l = u - -896\/527. Calculate the common denominator of 39\/7 and l.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(88)*-4)\/sqrt(8))**2 + 1.\nAnswer: 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 0*i**2 + 39*i**3 + 6*i + 67*i**4 - 30*i**4 + 7*i - 36*i**4 to z + r*i + n*i**4 + v*i**2 + m*i**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298901 is divided by 298896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/80*(-88)\/(-28)*-4*6\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(17\/102*(-153)\/85).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75, 26, -49, -150, -277, -430?\n\"Answer: -13*p**2 - 10*p + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 - -32211?\nAnswer: 33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -950*u. Let i(f) = -7*f. Give i(b(y)).\nAnswer: 6650*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 + -16.5. Let i = f - -13.5. Let p be ((-5)\/9)\/((-10)\/12). What is the nearest to 0 in p, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -45, 106, 317, 582, 895?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1809*m - 555*m + 737*m.\nAnswer: 1991*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, -0.02 in descending order.\nAnswer: -0.02, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390532 is divided by 2503.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*x + 3*x - 631, 2*h + 3*x = 1267. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 13 + 131 = 0. Let j = -31 + 34. Suppose b*z - 18 = j*z. Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101 + -1000?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*i + 12. Let b be 0*7\/70*2\/4. Sort b, 2, -3, i.\nAnswer: -3, b, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 59941800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1215, -9, -5, -1 in decreasing order.\nAnswer: -1, -4, -5, -9, -1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*w - 30, 27*w - 26*w + 305 = -60*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4750*x**3 + 4756*x**3 - 9508*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -300041?\nAnswer: -300043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 229400495 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -5, 0.142?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192292.\nAnswer: 2, 48073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 26 = 4. Let j(o) be the first derivative of -o**4\/4 + 7*o**3\/3 - 3*o**2 - 4*o - 44. Calculate j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 22*u + 2. Let n be t(0). What is the third derivative of -10*q**n - 18*q - 31*q - 17*q**4 + 49*q wrt q?\nAnswer: -408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 22 + -30 + 8 + (1 - (-2 + 1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2, -2*c - 19 = 5*r - 43 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -789 - -854.7. Let j = t - 69. Let i = j + 2.9. What is the biggest value in -2\/7, i, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 21. Let v be 21\/4*(-88)\/33. Let s be j(v). Which is bigger: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*u = 330*u + 82998. Is u a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 minus 4361?\nAnswer: -4360.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -14\/3 (c) 10 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(24)*-2)\/sqrt(3) + sqrt(8)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76*(-26)\/(-11856))\/(15\/12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -4 (c) -2.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*x**3 - x**2 + 275*x wrt x?\nAnswer: -888*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 14*z**2 - 13*z + 12. Let v be u(13). Suppose -j + v = -4*j. Sort -5, j, -2.\nAnswer: -5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.23 + -10. Let v = o - 0.03. Let p = 7390\/21 + -352. What is the closest to p in -3\/5, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 57, 94, 135, 180, 229, 282?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 348, 381, 412, 441, 468, 493?\n\"Answer: -t**2 + 36*t + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 585*i - 585*i - i**2 - 24 to l*i**2 + a + s*i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 4)\/1 - (22102\/4290 + (-792)\/25740)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**3 - 5*v**2 + 5. Suppose 936 = -5*m + m - 4*r, -2*r - 8 = 0. Let h = m + 225. Let u(s) = -5*s**3 - 4*s**2 + 4. Calculate h*u(w) + 4*f(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/(1\/(-12)). Suppose -3 = c*a - 3*b + 6, 4*a = b. Let x = -568\/5 + 114. Is x <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 6*a + 4. Let o be i(-6). Let g(x) = 6*x + 5. What is the units digit of g(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + -4 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7330732 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/7 + 21528*j**3\/7 - 365283*j**2\/7 - 1241552*j + 1290660 = 0?\nAnswer: -14, 1, 30, 21511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1435 + 109. Which is smaller: d or -1325?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*m + 2, 3*r + 2*m + 5 = -3*m. Solve r = -0*b + b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 - 249*d**3 + 483*d**2 + 249*d - 486 = 0. Calculate d.\nAnswer: -1, 1, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2 + 2*a - 30. Calculate the least common multiple of 378 and o(-8).\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*v + 112. Let h = 47 + v. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 787263.4um?\nAnswer: 787263400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 divided by 2?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 (base 8) in base 10?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihhiililihlhhhihl. What is prob of picking 1 i, 1 h, and 1 l?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, a: 5, c: 1}. Give prob of sequence lacl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 - 5*v**3\/3 - 3*v**2\/2 - 5*v + 48. Give z(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**4 - 5*q**2 + 653 + q - 647 + 3*q**4 + 4*q**3 to the form t*q**3 + k*q + x*q**4 + y*q**2 + i and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -9) + (-9 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10597877 is divided by 706525.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*-3*(2 + (sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2)) + -5*6*sqrt(24)\/sqrt(3))**2 + -1.\nAnswer: -684*sqrt(2) + 6528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/14 + (4042\/(-329) - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1711a6 + 36?\nAnswer: -171170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 4*m - 9*a - 6066, 14*a - 7618 = -5*m. What is the greatest common divisor of m and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/33696 and -37\/3564.\nAnswer: 370656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 889992*n**2 + 1712*n + 140 wrt n.\nAnswer: 1779984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.8, 1\/258?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 33\/12)\/((-6)\/24). Let h be (-6)\/f*-2 + (-856)\/8. Let o = -108 - h. Solve o*z - 5*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1943.1 - -11.565\nAnswer: 1954.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -745 by 869352.\nAnswer: -745\/869352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4000*h - 1. Let p(g) = -3565*g. Determine f(p(k)).\nAnswer: 14260000*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*-31*(-21)\/21266)\/((-2)\/(-14))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.19 or -0.5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.86 times 78\nAnswer: 145.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.2. Let j = -0.095 + -0.405. What is the closest to a in 0.1, -10, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2148 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -960 - -1518. Is w a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 31*m**2 + 155*m + 61. List the prime factors of a(-43).\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266.719965 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3012824851.\nAnswer: 19, 2593, 61153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(104) + -1*sqrt(104) - sqrt(104))*5*-5)\/((sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) + 1*((1*sqrt(72) - sqrt(72)) + sqrt(72)))))\/sqrt(9)).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 175 + 539. Let m = -154 + 93. Let p = m + s. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*n + 210*n - 107*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from mxobbczc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.41 less than 431446.3428?\nAnswer: 431409.9328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 + 26*j - 39. Let n(b) = 9*b**2 + 24*b - 41. Let a(m) = 4*h(m) - 3*n(m). Factor a(c).\nAnswer: (c - 1)*(c + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -35.38 (c) 232 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 71350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -2084\nAnswer: 54\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13774.8 + 13775. Which is the third biggest value? (a) p (b) -162 (c) -1\/2 (d) -0.3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9696 divided by -9?\nAnswer: -3232\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -685, -1029, -1605, -2413, -3453, -4725?\n\"Answer: -116*r**2 + 4*r - 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 310955728.\nAnswer: -31095572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36407 (base 8) to base 4.\nAnswer: 3310013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771\/2 greater than 3886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:02 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 234.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3, -20, -1, 53 in descending order.\nAnswer: 53, 2\/3, -1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 138900*p + 277807. Give k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15879*a**4 - 5*a**3 + 45*a**2 + 1788?\nAnswer: 381096*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 3*j, 1 = -3*q + 4*j - 9. Let p(c) = c**2 + 5*c - 5. Let y be p(-6). Let f = -2 + y. Put -2, q, f in increasing order.\nAnswer: -2, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496159 is divided by 115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*l - 33, 3*l = 4*f - 2*l + 43. Let h = 5 + f. Let w = h + 51. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 - (7 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*k**2 - 207*k**3 - 28*k**2 - 5*k**2 - 2846 + 16*k**2 wrt k.\nAnswer: -621*k**2 - 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1960*m - 60*m + 216*m + 2)*(-1 - 2*m**2 + 1) in the form c + a*m + k*m**3 + v*m**2 and give k.\nAnswer: -4232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 2)\/(18 + (-621)\/36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -657 greater than -658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -56?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664 - t**3 - 10*t**3 - 573 + 2*t**3 + t**3.\nAnswer: -8*t**3 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**3*v**4 + 26*t**3 - 8*t**2*v**4 + 2*t**2*v**2 + 3*v**4 + v wrt v?\nAnswer: 24*t**3*v - 192*t**2*v + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12957189 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -40.74 (c) -0.2 (d) -0.122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.611 - 30.471. Let t = 29 + x. Which is smaller: t or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**5*b**(-3\/8) assuming b is positive.\nAnswer: b**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by -7.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q + 43*q - 12 = 4*l, 5*l - q = -7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3911659?\nAnswer: 379, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = 126*v - 312 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/4, -3, 1\/9, 1719\/2, -2\/15, -22, 1\/4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289971b (base 12) in base 7?\nAnswer: 126260042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -9*t**7\/7 + t**4\/2 + 2*t**3\/3 + 170*t - 241. Find the third derivative of h(m) wrt m.\nAnswer: -1080*m**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -388 - -393. Let w(a) = -7*a + 9. What is w(b)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**42*j**47*j)**(4\/21) assuming j is positive.\nAnswer: j**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -163, -341, -647, -1123, -1811, -2753, -3991?\nAnswer: -5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 40*y**2 - 90*y - 3. Let r(v) = 5*v**3 - 115*v**2 - 270*v - 10. Let p(m) = 3*r(m) - 10*u(m). Factor p(a).\nAnswer: 5*a*(a + 2)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.21 + -156.41. Let o = q + 154. What is the closest to o in 2, 3\/5, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + 64. Let r = -115 + h. Calculate the common denominator of r and 1\/((-52)\/46 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280)*1)\/sqrt(8))\/(sqrt(30)\/sqrt(6)*2 + sqrt(5) + sqrt(5)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200.2 - -303. Let v = d - 104. Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {r: 2, w: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 - 2*i**3 - 2*i**3.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -24\/53, 2\/457, -0.5?\nAnswer: 2\/457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:49 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*h + 4*f, -3*h + 7*h = f - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 165 (b) -1\/6 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 3 - -3) + 7 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 5. Let p be m(7). Suppose -3*b - 44 = -4*f, p*f + 6*b - 22 = b. Let a = f + 3. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = n - 9, x - 18 + 1 = -3*n. Suppose 2*a = n*a. Solve a = -4*v + 22 - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = u - 56. Let b = u + -22. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0 - 4) + 12. Let m = l + 3. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 3*f. Let o(z) = -2*z**2 - 9*z - 6. Let b(j) = -3*j**2 - 14*j - 9. Let p(y) = 5*b(y) - 8*o(y). What is the units digit of p(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlakksml. Give prob of sequence mlka.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 124950794776?\nAnswer: 124950794772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 1\/6*m**4 + 0 + 2\/3*m**3 - 28*m + 3*m**2. Let r be a(-3). Is r > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90 + -243?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3701 - -3779 - (-7 - -1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1212 - 69086\/57. Let x(l) = 2*l**2 - 9*l + 5. Let d be x(4). Does d = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 31*r. Let k(p) = -266*p. Calculate k(g(t)).\nAnswer: -8246*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0652 - -0.0348. Which is smaller: -23\/4 or x?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80767.1 rounded to the nearest one thousand?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 6567*c + 5672*c + 3118*c - 16 to the form j*c + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/4 + q**3 + 2*q**2 - 3*q + 134. Let h(w) = 6 - 3 - 5*w + w**3 - 2 - 4*w**2 + 3. Give -4*h(g) - 5*l(g).\nAnswer: g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4 - 1. Suppose -5*g = 5*w - 3*g + 14, -9 = -y*g. Sort 0, w, 1.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 974 + -214. Let p = 760 - g. Solve -y + 4 = a - p, 2*a - 2*y = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43410 take away 329799?\nAnswer: -373209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*g + 51, -5*a + 0*a - 3*g + 101 = 0. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 21695?\nAnswer: 21695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36118504.\nAnswer: 2, 4514813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(42)\/sqrt(6))*4.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(b + b + 0*b)*(1178*b + 11106*b - 1744*b) as c + l*b + m*b**2 and give m.\nAnswer: 42160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 2, -9, 50, 14.\nAnswer: -11, -9, 0, 2, 14, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1080247.441 + 1080254.44099953. Let c = w - 7. What is c rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/9*t + 32\/9*t**3 + 16\/9*t**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:04 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -242290, -484585, -726876, -969163, -1211446?\n\"Answer: 2*g**2 - 242301*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*p - 187*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d**2. Let a(t) = 21*t. Determine a(i(k)).\nAnswer: -231*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4\/5 + 216*g**3\/5 - 2364*g**2\/5 - 2584*g\/5 = 0. Calculate g.\nAnswer: -1, 0, 17, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*y + 4*v + 25, 0 = -2*y + 3*v - 28. Let f be (y + -2)\/(-5 - -3). Let p = -7 + f. Put p, -1, -4 in descending order.\nAnswer: -1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483997400 rounded to the nearest one hundred thousand?\nAnswer: -484000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 + 8883568665?\nAnswer: 8883570278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -3, 3, 0, 2 in descending order.\nAnswer: 102, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4472*w**3 - 7*w**2 - 32*w + 15. Let r be y(-5). What is r rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(0 + 2 + 2)*(-2*y + y - 2*y).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exp when three letters picked without replacement from pppfeex.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 3*q**2 + 2. Let b be m(-3). Suppose b*t - 11 - 29 = 0. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.31? (a) -3 (b) -0.23 (c) 0.2 (d) 4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**2\/2 + 19*x + 2. Let p be r(13). Sort 3, -5, p.\nAnswer: -5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -9, -16?\n\"Answer: -7*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.8 + 17. Let b = 0.7 - p. Round b to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 513*g*p**5 + 243*g*p**2 + g - 2*p**2 wrt p.\nAnswer: 30780*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20156*a**2 + 20155*a**2 - 1 - 1 + 2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - m**3 + 3*m**3 + 1.\nAnswer: 2*m**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q + 8. Suppose 0*j + j = -q, 228 = 2*u - 4*j. Let d(w) = w + 112 - 3*w - u. Calculate d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/sqrt(2))\/((1*sqrt(84))\/sqrt(12)) + 0 - ((sqrt(132)\/(-1*sqrt(4)))\/(sqrt(11) - (sqrt(44) - 1*sqrt(44))) + -5)**2.\nAnswer: -28 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-27685)\/1130*(-2 - (-726)\/(-7)) is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1414\/(-101))\/(14\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 0*i**4 + 0*i - 6 + 3*i**3 + 0*i**2 - 17\/5*i**5. Find the third derivative of o(m) wrt m.\nAnswer: -408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1787 or -1812?\nAnswer: -1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10812*u**2 - 12*u - 41. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/2162 - 4\/47. Let t = u + -65\/414. Let l = -1.5 + -0.5. What is the closest to 1 in l, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 0.4336145115?\nAnswer: 5.4336145115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i - 93*i - 1050 = -53*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -l - 361, 7*l = 2*l + 25. Let z = r - 2. Suppose k - z = -2*k. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -56, 0, -5, -1 in increasing order.\nAnswer: -56, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 184*k + 1860.\nAnswer: 4*(k - 31)*(k - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f + 4. Let v be w(5). Let m(r) = 4*r - 1. Is m(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 25*g + 15 = 0. Sort -4, 0, g, -1 in decreasing order.\nAnswer: g, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 20 = -4*j. Let f be 45\/6*(-2)\/(-20). What is the biggest value in -2, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-156)*(-2)\/4*(-2)\/(-3)*-3?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -53. Let b be (-190)\/4*4\/(-5). Let m = b - j. What is the smallest value in -1.3, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51.8264 years?\nAnswer: 621.9168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749 - 0.2.\nAnswer: -749.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 2166601460260.\nAnswer: 2166601460259.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)\/(d*d**(-22))*d*d\/(d*d\/d**(2\/5))*d*d**(-23) assuming d is positive.\nAnswer: d**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 809624059 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + (-21)\/(-6). Suppose -f = i*f. Solve -3*m + 9 = -3*x, f*x - 5*x + 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117624080 a multiple of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -13 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464439 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + 17. Suppose -4*s = -s - 6, -2*s = 2*t + j. Let u = t - -33. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-658)\/170 - 2*-1. Let f = u + 42\/17. What is the third biggest value in f, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrbbezwerbwwro. Give prob of picking 1 z, 1 b, and 1 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -41. Let u = f + 39.65. Let o = u + -0.15. Put o, -3\/5, 2\/3 in increasing order.\nAnswer: -3\/5, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 901515.\nAnswer: 9015150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59410196 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5022751 is divided by 171?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -2471?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44780193 divided by -82773?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14997 - -18596. Calculate the greatest common factor of c and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:32 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2995\/3 - 998. What is the second smallest value in s, 5, -179?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17079 times 2?\nAnswer: 34158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhheej. Give prob of sequence jyhe.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -22, 2\/9, -19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 13. Let o be y(-10). Suppose -4*r + 5*s + 28 = s, -17 = -o*r + s. What is the remainder when r\/(-25) - (-592)\/10 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/667 + -789\/40687. Let k = -105\/1037 + g. Which is the smallest value? (a) -3 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + h + 0*h**3 + 3*h**3 + (-3 + 12 + 8)*(-4*h**3 + 5*h**3 - 3*h**3).\nAnswer: -35*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(0 + 0 + sqrt(847))*-6)**2 + -2 + -1.\nAnswer: 762292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3681 and -1\/77301.\nAnswer: 77301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**2 + 413*x - 393. Calculate w(58).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 2925137.\nAnswer: 2925141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (319\/(-58) - -6)*(-2)\/1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (24 - (18 + (-8 - -1))) - 7.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836 is divided by 263?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3055759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**5 - 15*b**4 + 4*b**3 - b**3 + 7*b**3 - 10*b - 5*b**3 + 15*b**2.\nAnswer: 5*b*(b - 2)*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1578\/(-2367)*219\/(-2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -839*q + 11 - q**3 + 843*q + 6. Does 5 divide u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 - -235 - (-119 + 7)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101613, 101614, 101615, 101616, 101617, 101618?\nAnswer: 101619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {t: 6, w: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/30 - 3*b**4\/4 + b**3\/6 + 46*b**2. Let y be c(10). Calculate the greatest common divisor of y and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 25*t - 2 + 3 as u + d*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 + (5 - -24 - 142)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/13 + 1308*s\/13 - 1310\/13.\nAnswer: 2*(s - 1)*(s + 655)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 1. Let m be x(-2). Let v be 6\/21 - 23\/m. Let y = -217\/536 - -2\/67. Which is the third smallest value? (a) -1 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/8 in 1, 0.2, -299266?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + 189. Let t(l) = -b*l + 15*l + 4*l. Let o(f) = -f. Give o(t(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c5 (base 14) in base 13?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 1\/3*n**5 + 1\/3*n**4 + 0*n**3 - 15 + 0*n - 7\/30*n**6 + 6*n**2. Let u(l) be the second derivative of y(l). Factor u(a).\nAnswer: -4*a*(a - 1)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 7*l**4\/8 + 6*l**3 - 33*l**2\/2 + 34. Let r(i) be the second derivative of o(i). Find the first derivative of r(g) wrt g.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 36*y**2 + 14*y**2 - 25*y**2.\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-195)\/(-45) + 4\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817 + 98 = 4*k + v, -5 = -5*v. Let z be (-140)\/(12\/(-3))*k\/(-42). What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + (-97)\/12)\/((-1)\/2). Which is the third biggest value? (a) 0.4 (b) f (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**12*a*a)\/a*a)*a)**(-1\/5) assuming a is positive.\nAnswer: a**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*103895.7\nAnswer: 207791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/920008 and 23\/3910034.\nAnswer: 15640136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1dc (base 14) to base 6\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - r + 34 = 4*t, -4*t = -3*r + 138. Let x = 10 - t. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5 - 36 + 78 - 43 + 194*s + 19*s. Let n(f) = -3*f. Give q(n(u)).\nAnswer: -639*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -28*c - 137. Let i be d(-5). Solve r = u + 3, -r - 5 = i*u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 141 = -21. Suppose p - 4 = 2. What is the highest common divisor of p and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reewreeerw. What is prob of sequence we?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/7, 5 in descending order.\nAnswer: 5, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 157\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - 4*s + 3. Let q = 9 - 8. Let v(a) = -2*a - 5*a + q + a**2 + 6*a. Let t(c) = -f(c) + 4*v(c). What is the first derivative of t(d) wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 12 + 72 = 0. Suppose -r = -2 + 7. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 - 3) - 1) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -552.22 - -567. Let o = y - -0.22. Let z(d) = -144*d + 4. Let w be z(0). Which is the biggest value? (a) o (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.9 (b) 0 (c) -7 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4601 = 4*z - 46910, 0 = 4*h + 5*z + 33880. Let i = h - -26488. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:40 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1102696361 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 174 (c) -2\/3 (d) 4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = a + 33. Suppose -k = -5*c - 741, -a*c - 3012 = -k - 3*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:49 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.5 - 2.5. Put -2\/3, a, 0 in descending order.\nAnswer: a, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 1, 2, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (216\/(-15))\/(1\/(-5)). Suppose -4*c - r - 16 = 0. Let q = 23 + c. Let k(u) = u**3 - 5*u - 5. Let l(i) = i + 1. Determine q*k(t) + 5*l(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4 + 3196\/272?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -122. Suppose -23*z = -19*z - j. Does 33 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2 - (-12 + 9 + 14)) + (39 - 32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 12. Suppose 3*m = -u*b + 10, 5*b - 8*b = 2*m - 5. Let c(j) = -8*j**2 - j. Let p be c(1). Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1 + -7) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 6.01, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-51543)\/486)\/(-83) + (-5)\/6. Let f(y) be the first derivative of -2\/27*y**3 - 15 + 1\/3*y**2 - r*y. Factor f(h).\nAnswer: -2*(h - 2)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -306*b**2 + 296*b + 10. Let i(s) = 61*s**2 - 59*s - 2. Let m(q) = 22*i(q) + 4*r(q). Find n, given that m(n) = 0.\nAnswer: -2\/59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 - 5 = 5*q, 4*o - 57 = 5*q. Let i = 36 - 31. What is the least common multiple of -1 + o + 1 - -3 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -659*a**4 + 14*a**3 + 663*a**4 + 27*a**2 + 5 - 27*a**2 to l*a**4 + x*a + n*a**2 + m*a**3 + j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-12) - 26\/12)*-2. Solve 0 = -r*w - 3 - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2987.7*-1.3\nAnswer: -3884.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 6*v + 2. Let l be o(5). Let i = 0.49 + 66.51. Let u = -66.95 + i. What is the third smallest value in u, l, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4093 - 2601. List the prime factors of v.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/30)\/((-19)\/285)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2140*o**5*y - 13543*o**3 + 15*o + 4*y - 1415 wrt o?\nAnswer: 42800*o**3*y - 81258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6573, -26303, -59195, -105255, -164489, -236903, -322503?\n\"Answer: -u**3 - 6575*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747993.\nAnswer: 3, 167, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 622415240 and 100.\nAnswer: 3112076200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 125?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148 and 900?\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = 2*s, 2*s + 6 + 0 = 3*d. Solve d = -15*b - 37 - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*d**2*q**3 + 118*d**2 - 110*q**3 + 3*q**2 + 2*q with respect to d.\nAnswer: -60*d*q**3 + 236*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -906029*l**2*o**2 + 416*l - 777*o**2 wrt l?\nAnswer: -1812058*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849868138 to the nearest integer?\nAnswer: 29152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1539*c**2 - 16919*c - 138. Determine g(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 542751.7 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64503697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -425 + 426. Let r be (4 - t)*(-4 - -3) + 3. Solve r = -2*y + 12 - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*j + 68*j - 5992 + 1311 - 3792 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5*k**2 - 3*k - 2. Let j be b(5). Let n = j + 24. Calculate the remainder when n is divided by (-10)\/(-2)*(-2 - 84\/(-35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-400)\/((-1360)\/34)*3\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -679527, -679544, -679575, -679620?\n\"Answer: -7*n**2 + 4*n - 679524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Let v(h) = -30 - 33 + 63 + 18*h**f. Let q(z) = -2*z**2. Calculate v(q(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 6*a + 50. Calculate the highest common divisor of 55 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*(w**(3\/14)*w)\/w)\/(w**(1\/15)*w\/(w**(-5)\/w)) assuming w is positive.\nAnswer: w**(-2909\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 727552871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.08 from -0.13.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-418))\/(81\/(-162)))\/((-4)\/22)\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose n*k - 200 = k. Suppose -7 = -3*w + 4*j + 18, k = 5*w + 5*j. Solve 0 = -2*r - r - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.3 + 4.7. Suppose 82*h - 74*h - 16 = 0. Put h, -2, v in descending order.\nAnswer: h, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 4 (c) -5.8 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/2 of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + x + 15, 3*w + x - 5*x = 0. Which is the nearest to -8? (a) 0.5 (b) 1\/8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -5\/3 (b) -4 (c) 5 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(252))\/(sqrt(9) + 1*sqrt(225) + sqrt(9) + sqrt(9)) - (5 + (sqrt(7) - (sqrt(175) + 0))*6))**2 + 0.\nAnswer: -485*sqrt(7)\/2 + 66263\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 7*p**2 - 10*p - 7. Let o(w) = 3*w**3 + 8*w**2 - 12*w - 8. Determine 6*i(m) - 5*o(m).\nAnswer: -3*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-626 - -634 - (0 + 3)) + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1141*a + 3. Let m(u) = -1139*u + 3. Determine 3*m(q) - 2*o(q).\nAnswer: -1135*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70010008 take away -0.028?\nAnswer: 70010008.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3066*c**3 - 2*c**2 - 2*c - 1 + 3066*c**3 - 7*c**4 to z*c**2 + f*c**4 + x + a*c**3 + g*c and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**3 + 3*o**2 + o - 1. Let t be z(3). Let d = -117 + t. What are the prime factors of d?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -678*j*o*w**2 - 65*j*o*w + 2*j*o + 8*o**2*w**2 - 5*o**2*w - o*w**2 wrt w?\nAnswer: -1356*j*o + 16*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2351844 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -916af - -4?\nAnswer: -916ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - -1a4?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/5 - 436*s**3\/5 - 81*s**2\/5 + 35316*s\/5 = 0. What is s?\nAnswer: -9, 0, 9, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2356 + 2.7356. What is the nearest to 4\/7 in 3\/7, -2, -0.05, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 24 = -2*i. Let p(s) = -s**2 - 8*s. Let x be p(i). Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 - 3*f**2 + 4*f. Give i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(128))*-6 - (-3*(1 + sqrt(128)) + sqrt(128) + 2)**2.\nAnswer: -507 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 209*r - 3*r**3 - 1 - 2*r**3 - 2*r**3 + 5*r**3 in the form z*r**2 + k*r + t + m*r**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206935 * 1.\nAnswer: -206935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -30*l**3 - 24*l**2 + 14. What is the thousands digit of u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -61.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377 - 292. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 1, -1, 2\/5, -7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 933, 7105, 23849, 56451, 110197, 190373?\n\"Answer: 881*g**3 + 5*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22098.807 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(((-4)\/1)\/(-8)). Let n be (3\/u)\/(6\/(-16)). Suppose -2*b = -b - 3*z + 3, 0 = n*z - 4. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 220\/18 + 2 + 6\/(-27). Let m be (-4 - (57\/(-6) - -3))*b. Calculate the greatest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1923479*x**3 + 2 - 3687946*x**3.\nAnswer: -5611425*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.02161, -2, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, 0.02161, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**3 - 6*n**3 - 6*n**3)*(0 - 1 + 2) to v*n**3 + i*n**2 + g*n + m and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1639738 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 + 1. Let h(n) = -4*n**2 - 1. Give 11*h(b) + 6*q(b).\nAnswer: -2*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*g - 2*z, 5*z - 4 = -2*g + z. Let t(w) = w**2 + 10*w + 24. Let m be t(-4). Sort m, -5, g in descending order.\nAnswer: g, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004212731592 to 5 decimal places.\nAnswer: -0.00421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 135 = 2*v + 137, 1 = -v + 4*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 525 times 781\nAnswer: 410025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54*(2142\/(-36))\/(-119).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -53. Is 19 a factor of z*(-2 + (-4)\/(-2) + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(2 - 4)\/(-4). Let v(y) = y**2 - 8*y - 3. Let k(j) = -8*j**3. Let s be k(-1). Let x be v(s). Put x, d, 4 in descending order.\nAnswer: d, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1912, -1\/8, 5\/2 in descending order.\nAnswer: 5\/2, -1\/1912, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 217654.74 and 0.1?\nAnswer: 21765.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -36.33?\nAnswer: 41.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 231 and -1.68.\nAnswer: 229.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 8 + 3 - 280*v - 7 + 3 to the form o*v + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15391?\nAnswer: 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -34*q + 64. Let w(s) = -s**2 - 34*s + 66. Let h(a) = 3*t(a) - 2*w(a). Let v(z) = -z - 1. Let r(n) = -h(n) + 6*v(n). What is g in r(g) = 0?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881929.1 grams to nanograms.\nAnswer: 881929100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 40*q**2 + q - 1. Let x(z) = 2*z + 1. Let y be x(-6). Let i(s) = 2*s + 23. Let j be i(y). Does 10 divide t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243351 - 263463 = 104*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 4 (c) 0.5 (d) 275 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0 + (1 + 0 + 0)*(-4 + 7 - 1) - 1 + 1 - 1 + 1 - 2 - 1)*(-2*w + 2*w + 2*w) to l + n*w and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:14 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 4*f - 724*f**2 - 2 + 894*f**2.\nAnswer: 170*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by 6.\nAnswer: 89\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + -102202?\nAnswer: -110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 26, -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9664 and 7.973?\nAnswer: -7.7051072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 3*j**2 - j + 3. Suppose 5*l - 11 - 14 = 0. Let d be f(l). Let g = -87 - d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.2 + 5. Let r(w) = -w**3 - 6*w**2 + 7*w - 1. Let i be r(-7). Which is the closest to i? (a) -0.4 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 11:36 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -146*w + 690. Determine r(4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7433*g**3*y + 2994*g**3 wrt y.\nAnswer: -7433*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d**2*o**4 + 10*d**2 + 298027*d*o**4 - d*o**3 + 115*d*o**2 + 12890*d*o wrt o.\nAnswer: 168*d**2*o + 7152648*d*o - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**3 - 2. Let u(a) = 33*a**3 - 7. Let s be -6 - -6*(-2)\/(-3). Calculate s*u(l) + 7*h(l).\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 287716698 a multiple of 1854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0*i + 2*i - 2 + (-2 + 0 + 1)*(64 + 64 - 281*i - 125).\nAnswer: 283*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 2*v**7\/21 - v**4\/4 + 4*v - 1. Let g(h) be the first derivative of l(h). Find the third derivative of g(d) wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-3)\/(-9)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-16)\/(-6)))\/(51\/(-204)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 5. Let z = 4 - 4. Let h be k(z). Suppose 4*w = -2*l + 90, h*w = w - 20. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.4 and -32.3.\nAnswer: -35.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - (sqrt(132) - (sqrt(132) + 2*-1*sqrt(132))))*-2)\/(sqrt(48)\/(sqrt(36)*-2 + sqrt(4))))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3695*o**2 + 1 + 7391*o**2 - 3692*o**2 - 1.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25564 - 25560. Solve 5*z = r*g - 24, g + 30 = -3*z + 36 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i + 6. Let u be (-3 - -1) + i - -5. Which is smaller: u or -4\/57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 + 169 = q. Let p = q + -254. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -1\/6, 2.6, -1\/9.\nAnswer: -1\/6, -1\/9, 0, 0.4, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*x**4 - 4501 + 15881748*x**3 - 15881748*x**3 with respect to x.\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b**1)\/b)\/b*b*(((b*b\/(b**6*b))\/b)\/b)\/b)\/(b*b**1)**(-46) assuming b is positive.\nAnswer: b**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlllnnlnlnln. What is prob of picking 4 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Let n be 1\/(-3 - -2) + 3. Let i = n + x. Solve 2*c - 4*j = 6*c + 12, i*c + 3*j = -13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 6*v + 3. Let g(b) = b - 1. Let j be (-1 - -2)\/((-1)\/(-1)). Determine j*f(z) + 5*g(z).\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 25046393?\nAnswer: -2504638a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2021.2 - -2021. Put t, 5, -13 in ascending order.\nAnswer: -13, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 110*q**2 - 58*q**2 - 53*q**2. Let u(h) = -2*h + 23. Determine u(a(y)).\nAnswer: 2*y**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - b**3)*(-33*b + 50*b + 38*b) + 1 + 4 - 3 + 2*b**4.\nAnswer: -53*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 79645 (base 10) to base 9\nAnswer: 131224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1362 or -25887\/19?\nAnswer: -25887\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1434057474 - -110.4.\nAnswer: 1434057584.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 49*k**4\/24 - 19*k**3\/3 + 10*k**2. Let u be a(7). Suppose -x = -4*c - 22 - 71, 3*x + c = u. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. What is the second biggest value in -3, -1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1441?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 6*k**2 + 7*k + 4. Let m be q(4). Sort m, 15, 10.\nAnswer: m, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1. Let l(y) = y**3 - 3*y**2 - 7*y + 4. Let p(i) = l(i) + 2*s(i). Suppose 0 = 5*v - 20 + 45, 32 = 3*k - 4*v. Determine p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 7 (c) 2\/13 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, 2, 166, 438, -5.\nAnswer: -5, -3, -2, 2, 4, 166, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -22322121112?\nAnswer: -22322121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 20625.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 1, a: 1, c: 9}. What is prob of sequence ccgr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 6*y**2 + 5*y - 12. Let f be c(-7). Let 5\/2*s**f + 4*s**3 + 1\/2*s + 0 + 2*s**4 = 0. What is s?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(-8\/3)\/p)\/p)\/p**19)\/((p\/(p*(p**(6\/7)*p*p)\/p)*p)\/(p**(-1\/11)\/p)))**(8\/7) assuming p is positive.\nAnswer: p**(-42320\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 3724.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 51. Let r = j + -39. Let o = r + 6. Let b(z) = z**2 + 5*z + 1. Calculate b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*b + 15*b - 33*k - 182, -86*b + 83*b = 3*k + 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5095*v - 15512 = 5081*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = -4*o, 0*z = -5*z + 4*o + 8. Suppose 4*r + 4 = -0*c + z*c, 3*r - 9 = 0. List the prime factors of (6\/9)\/(c\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45300 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19892 and -114.8.\nAnswer: -2283601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (10 - 21)) + -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2631 (base 7) to base 14.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (466 + 464 - 46 - 197)*(-2*g**2 - 3*g**2 + 6*g**2).\nAnswer: 687*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 74, 199, 430, 803, 1354, 2119?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 2, b: 6, z: 4, e: 3}. What is prob of sequence ezle?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89\/44 + -14\/11. Which is the closest to 1? (a) 5 (b) l (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5417919 and 3141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 1 + -1 - (-4 - (-41 + 44))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/(-2)*(12 - (3 - 1)) and 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 36, 9, 18\/11 in decreasing order.\nAnswer: 36, 9, 3, 2, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 5*f - 32. Let z = 66 + 64. Suppose 3*p - y + z = 8*p, 0 = -4*p - y + 103. Do f and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 347, 728, 1261, 1946, 2783?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111 - 10?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -50, -179, -320 in increasing order.\nAnswer: -320, -179, -50, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2 - 2)*(3 - 1 - 3) + (16*j - 10*j + 3*j)*(0 - 6 + 4) as h*j + r and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104*i*p**2 + 6*i*p + 13*i + 36 wrt p?\nAnswer: -208*i*p + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.1 + 19.4. Let r = -29.7 - p. Let k be (-22)\/(-30) - (-6)\/10. Which is the nearest to 0.2? (a) -1 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005961 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -680, -0.4, 2?\nAnswer: -680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2\/(-5))\/((-1)\/10) and (42\/(-147))\/(1\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1)*75\/(-10). Suppose -j + t = 2*o - 27, 4*o - 20 = 0. What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/5, -2\/3, -210, -1, -5 in increasing order.\nAnswer: -210, -5, -1, -2\/3, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 467*w - 357*w + 202 - 92 + 260*w**2. Let f(y) = -7*y**2 - 3*y - 3. Determine -220*f(d) - 6*x(d).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 8. Let k(q) = 12*q + 9. Let i(x) = 18*x + 13. Let r(w) = 5*i(w) - 8*k(w). Let m(t) = 5*b(t) + 4*r(t). What is the units digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1187637.5 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, 16, -2, 1 in decreasing order.\nAnswer: 16, 1, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186451852 or 186451853?\nAnswer: 186451852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s = -162*s - 2587 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16607333.\nAnswer: 16607333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/4 + 52245*r**3 + 3*r**2\/4 - 52245*r = 0.\nAnswer: -1, 0, 1, 69660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/56 and 68\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, s: 7}. What is prob of sequence svss?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/13 + 16*x**4\/13 - 36*x**3\/13 - 184*x**2\/13 - 206*x\/13 - 72\/13 = 0 for x.\nAnswer: -9, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 1. What are the prime factors of 5*(c - (-9)\/15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 93 (c) -0.2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -53*q**2 - 723*q - 1 + 724*q + 1 - 73*q**2. Let f(o) be the second derivative of o**4\/6 - 2*o. What is f(m(d))?\nAnswer: 31752*d**4 - 504*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.75 - -0.750126. What is d rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-24)*-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/129 and 83\/46.\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-22 + 17 + (1 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.43 and 507.\nAnswer: 503.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 2:52 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7031969 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.75418 and 0.3616.\nAnswer: 0.272711488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 - 125. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + -104. Let d = c + 110.2. Put d, 0.4, 1\/4, -0.1 in descending order.\nAnswer: 0.4, 1\/4, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69253.66mg in tonnes?\nAnswer: 0.00006925366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -131, -267, -415, -581, -771, -991?\n\"Answer: -w**3 - 129*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 8. Let k be 18888\/(-18904) - (u - 0). Let i = k - -181911\/47260. Find the common denominator of i and 41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10935?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4487549505.\nAnswer: 3, 5, 107, 2795981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 - -22112021022?\nAnswer: 22112012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/22, 1\/5, 4934, -2\/13, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 2*q + 1774 = 0, 4*q + 1318 = 3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 v when three letters picked without replacement from vrrvrpvlvpvhrrrr?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 15. Suppose -2*s - n = -2*w + 49, -4*w + 68 = -2*s. Let b = s + 87. Do b and 60 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.2 + -17. Let p = 26.2 + a. Sort p, 3\/5, 4, -4 in increasing order.\nAnswer: -4, 3\/5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 77764 = 3*h - 78103, 2*h = 2*b + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, k: 1, y: 4, c: 1}. Give prob of sequence ooyo.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 67*v**2 + 7*v - 981*v**2 - 9*v to the form n*v**2 + o + q*v and give n.\nAnswer: -914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*m**3 - 225*m**3 + 117*m**3 - 154*m**3.\nAnswer: -362*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 - z - 1. Let x be b(1). Suppose 2*m - 129 = -3*m - 3*k, 4*m - x*k - 84 = 0. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 760 = -7*x + 3*x, 0 = 5*g + 4*x - 1320. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2, -5, 12, 0.7 in descending order.\nAnswer: 12, 0.7, 0.01, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-3)*((-8)\/(-9))\/(-4). Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z - 312 = -52*z. Let k be 9\/6*104\/z. What is the highest common factor of 5 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38369 and 11407?\nAnswer: 422059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 12*z - 180. What is the remainder when 8 is divided by (-1 + 4 + -1)*z\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/7 - 416\/(-56). Suppose -18 = 2*d + s*d. Let w(z) = z**2 + z - 1. Give w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.5, 3, -0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:13 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (784\/(-77))\/28*2.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 482324 and -2.07484?\nAnswer: 482326.07484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 20269.25 centimeters?\nAnswer: 202692500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**3 - 5. Suppose 2*k + 43 = 53. Let p(z) = -3*z**3 + 2. Determine k*p(x) + 2*n(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1*0\/((10 - 8) + 0). Which is the fourth smallest value? (a) -5 (b) -6666 (c) 2\/5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p**(-2))**44 assuming p is positive.\nAnswer: p**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54930 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7184*n + 420934 + 453338 = 178*n + 19540 for n.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 4, -3, -2\/13 in ascending order.\nAnswer: -55, -3, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 488.698 + -0.698. Let a = -489 + x. Which is bigger: 18 or a?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/(y\/(y*y**(-1\/5)))*y)*y*y*y*y\/(y**(-6)*y)*y*y*y*(((y*y**(-2\/5))\/y)\/y*y)\/(y*y**2\/y*y) assuming y is positive.\nAnswer: y**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n - 65*n - 17*n + 1.\nAnswer: -72*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.93 + 55. Let c = 176.842158 + -175.91215749. Let v = y + c. Round v to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13041, -26102, -39197, -52332, -65513, -78746?\n\"Answer: -k**3 - 11*k**2 - 13021*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007758235298 to 7 decimal places.\nAnswer: 0.0007758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t)**(12\/7)*(t**(2\/3)*t)\/t**(-4\/5))**(-3\/29) assuming t is positive.\nAnswer: t**(-394\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 2:43 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from vupfucpwuvvuwvv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*u**2 - 501*u**2 - 213*u**2 to the form w*u + v*u**2 + k and give v.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*a - 35 + 108 - 38 - 20 to i + k*a and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 - 4*h - 8. Let l be 13\/(52\/(-8)) - (-3 + -5). Determine j(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -5 in ascending order.\nAnswer: -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-74)\/7)\/((-11)\/77). Suppose -20 = -5*k - h. Let d(o) = -o**2 - 8*o + 15. List the prime factors of d(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55, 83, 137, 223, 347, 515, 733, 1007?\n\"Answer: t**3 + 7*t**2 + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 476 - 2812705?\nAnswer: -2812218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.788017 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1672)\/(-5) - (280\/(-50) - -6). Suppose 962 + q = 16*w. Calculate the highest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**7\/8820 - p**4\/6 + 2*p**2. Let m(d) be the second derivative of w(d). Factor m(z).\nAnswer: -2*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 13123*a**2 + 1. Let p be h(-8). Let d = 1589873 - p. Round d to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33\/5 of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 3*f**2 + 3*f**2 - 4*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13809 (base 11) in base 8?\nAnswer: -46233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let h(r) = -3055*r**2 - 153*r + 6. Calculate h(s(a)).\nAnswer: -12220*a**2 - 306*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3803 - -9?\nAnswer: 380c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267914 and 7566?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23904.8 plus -41.7?\nAnswer: -23946.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-two fifths of a hour?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*v - 179*v + 128*v + 3 - 60*v - 4968*v**3 - 146*v wrt v?\nAnswer: -29808*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -2\/9, 9, -2\/989.\nAnswer: -6\/7, -2\/9, -2\/989, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 48.8. Let m = t + 2. Is -8 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2486931 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = -5. Suppose -b*p + 3*f = 4, p + 4 + 4 = 3*f. Is 13 a factor of (-79 + p)\/(-2) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67993, -68084, -68175, -68266, -68357?\nAnswer: -68448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -41202?\nAnswer: -41136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 6*j. Let t(z) = -z**2 + 5*z. Let v(b) = -5*p(b) - 6*t(b). Let n(l) = -95*l**2. Determine v(n(y)).\nAnswer: 9025*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/249 and 107\/14236398.\nAnswer: 1181621034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -24. Let z(t) = -t**3 - 6*t**2 + 19*t + 27. Let f(h) = h**3 + 7*h**2 - 18*h - 27. Let s(w) = 4*f(w) + 3*z(w). Does 17 divide s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5 - 2502*g**4 - 783748*g**3 - 778748*g**2 + 783750*g + 781250 = 0.\nAnswer: -625, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 9*y + 6.\nAnswer: 3*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-6)*4608\/1408\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 412.814 - 413. Let a = u - 100.714. What is a rounded to the nearest integer?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*(-2)\/((-24)\/3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163\/19 or -3073?\nAnswer: -3073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 - 0.15. Which is the biggest value? (a) 1 (b) -0.09 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*g - 324*g + 3*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 91 + 41 = 0. Suppose -b - q*b + 2772 = 0. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtgtgggg. What is prob of picking 1 g and 1 t?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 1039902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3297*c**3\/2 - 53673*c**2\/4 + 7365*c\/4 + 6 = 0.\nAnswer: -1\/314, 1\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -10, 193, -23, 4, -5 in increasing order.\nAnswer: -23, -10, -5, -2, 4, 5, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c**2 - 50*c + 120. Give m(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/23)\/(o*o**(2\/7)) assuming o is positive.\nAnswer: o**(-193\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 3. Let j(c) = -c**2 + 7*c - 4. Let g be j(5). Suppose 2*m - g = 4*m. Calculate the remainder when 4 is divided by v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4\/4 + 139*p**3\/2 - 571*p**2\/4 - 139*p\/2 + 142 = 0. Calculate p.\nAnswer: -284\/3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-5)\/(-45)*24\/(-2). Suppose -k*u = -3*w - 10, -2*w = 5*u + w - 26. Suppose -2*n + u*n - 326 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**3\/6 - 9*y**2\/2 + 2*y + 5. Let k(a) = a - 14. Determine 8*h(j) - 5*k(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010000100100011 + -101?\nAnswer: 1010010000100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + -1 + sqrt(50) - (sqrt(50) + -1 + 0)) + 2 + sqrt(4)\/sqrt(98) + sqrt(2) + sqrt(32)\/sqrt(4))**2.\nAnswer: 88*sqrt(2)\/7 + 1164\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/62 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1900) - (sqrt(931) + -3)) + (sqrt(152) + ((sqrt(152)*-2 + sqrt(152))*2 + sqrt(152) - sqrt(152)) + sqrt(152))\/sqrt(8)*1)**2.\nAnswer: 138*sqrt(19) + 10060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3098*k = -25939 - 5485 - 35213 - 66577 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**2 + 5 - 1\/40*n**5 - 1\/120*n**6 - 1\/48*n**4 + n + 0*n**3. Let g(t) be the first derivative of s(t). Factor g(c).\nAnswer: -c**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -176*t**3 - 13*t**2 + 44*t + 72. Let r be b(32). What is r rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o + 3*o + o)*(5*o + 4*o - 2*o) + 2*o + 6*o**2 - 2*o)*((2 + 2 - 3)*(9 + 12 - 18) + (-2 + 5 - 1)*(3 + 0 - 1)).\nAnswer: 189*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*2268\/24. What is the third derivative of -64*u**2 + 9*u**6 + 43*u**2 - f*u**6 wrt u?\nAnswer: -6480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 10*p**2 - 11*p - 6. Let n be r(11). Let h be n\/(-12) - (-18)\/4. Solve 0 = h*s - w - 18, -3 = -4*s - w - 2*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = 409 - 829. Solve 20*c = 25*c + u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1290)\/(-20))\/(-43))\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/4))*a)**9*(a*a**(2\/13))\/(a**(-5)*a) assuming a is positive.\nAnswer: a**(853\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x - 74. Let p(j) = j**2 - 2*j + 2. What is the remainder when p(4) is divided by c(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -988 = -9*j + 470. Suppose j + 126 = 4*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1706793, 6827167, 15361121, 27308655, 42669769, 61444463?\n\"Answer: 1706790*n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.039 or 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401841 is divided by 1778?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 11*p**2 + p - 19. Let d = 8 + -2. List the prime factors of i(d).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(114) - (-2*sqrt(114) - sqrt(114)))*-6)\/sqrt(6)*1 + 0.\nAnswer: -24*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/22, 0, 2\/35, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2.2 (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 361934\nAnswer: -32574.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 6*l + 5. Let z be p(-6). Suppose -z*c = -11 + 71. What are the prime factors of ((-4)\/(-2))\/((-3)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -6 - (31 + -36)) + (-3 - 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6562 - -11709. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*o = q, 0 = -q + 5*o. Sort -3, q, -1 in ascending order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1. Let g(s) = -s + 3. Let h(d) = -g(d) - 3*k(d). Let t be h(8). Differentiate -1 + 3*n**t - 5 - 2 + 3 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105533660 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:28 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1006 and -633.\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (152\/8)\/(-1 - 6\/(-7)). Let j = f + 135. Let z(v) = v + 2. Let p be z(0). Solve d - 8 = 2*w, 2*d - 14 = -p*d + j*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/4*4\/42\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8944*m**2*y**3 - 5*m**2*y**2 - m*y**3 + 49390*m*y**2 + 7*y**3 + 2*y**2 wrt y.\nAnswer: -53664*m**2 - 6*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 6*i**2 - 4*i + 2. Let f be c(-4). Let a be (-5)\/(f\/4)*-5. Suppose -a*k + 6 = k. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -13 - (0 - 3) - -1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 10)*4 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 113, 151, 175, 185?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 131 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {c: 3, b: 4, y: 5, g: 3, v: 1, s: 4}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9918215*y**3 - 19836425*y**2 + 9918205*y + 5.\nAnswer: 5*(y - 1)**2*(1983643*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**3 - 4 - 7*d + 25*d - 22*d + 11*d**3 in the form k*d**2 + c*d + l + m*d**3 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 18, y: 2}. What is prob of picking 2 v and 1 y?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (5 + -13) - -12) + 13\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:13 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -49*y**4\/24 + 49*y**3\/6 - 11*y**2. Let b(u) = -4*u + 4. Let f(z) = 35*b(z) - 3*h(z). List the prime factors of f(6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2950 and 4089172.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*l**5*x + 51*l**5 - l**2 + 2*l - 427*x wrt l.\nAnswer: 1260*l**2*x + 3060*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1186121 or -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9)\/10 - (-7966)\/2845.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632928 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6342 or -6382?\nAnswer: -6342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23423 is divided by 1690?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492684 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153630174 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r + 23*r. Suppose r = 202*g - 194*g - 480. What is the highest common divisor of 780 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/3 and 43\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/10)\/(2\/35). Suppose 3*h - p = -h. Suppose 0 = w - 0*w - 5, -3*w + h = -4*o. Solve 7*z = o*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 2)*(-3 + 7 - 1) + 0 - 1 + 2)*(-m**2 + m**2 - 7*m**2).\nAnswer: -49*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.101 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {g: 3, j: 1, i: 1, r: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 14.5. Which is the closest to 0.1? (a) -0.3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19342 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/158?\nAnswer: -3\/158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3*(-50)\/15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052530221 to 4 decimal places.\nAnswer: -0.0525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2. Let x(c) = 24540*c. What is x(h(k))?\nAnswer: -73620*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 43.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -64. List the prime factors of 6\/a*(-7 - -3) - -428.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 40*u - 479. What are the prime factors of y(38)?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 0*c)*(c**2 - c**3 - c**2) - 11328*c**3 + 2*c**4 + 11328*c**3 + 3*c.\nAnswer: c**4 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2*s + 3*p**2 + 19530383*p*s + 6345*s - 17095 with respect to p.\nAnswer: -4*p*s + 6*p + 19530383*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2658*q - 2185*q - 16531 = 8065 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17 and 4794767.\nAnswer: 4794750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x + 35*x = -12. Does 3 divide (-4)\/6*(-23 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 335 - 83 = 0. Suppose 3*s - x = -s. Is (-4)\/14 + 783\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (14 - (5 - -2) - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08021471785 to 6 dps.\nAnswer: 0.080215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**7\/21 - 1367*h**6\/80 - 42473*h**5\/24 - 4556*h**4 - 867*h**3 + 6979*h**2. Let k(j) = 0. Calculate j.\nAnswer: -102, -1, -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1408*r - 168. Let m(j) = j + 3. Let i(d) = l(d) + 9*m(d). What is the derivative of i(t) wrt t?\nAnswer: -1399","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v = -55*v + 4. Sort v, -6, 5, -1.\nAnswer: -6, -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -5. Let k be (285\/4)\/(g\/(-8)). Let l be k\/(-4)*(5 + -17). Round l to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let d be (z + 5)\/((-2)\/(-5)). Let t = 27 - d. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 2*f - 1. Let m be x(2). Let d be 2 - m - (1 - 4). Suppose 7*z - 25 = d*z. Solve -3*g = -z - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + 2*a)*(17*a**2 + 27*a**2 - 16*a**2).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 21.075. Let r = -0.03 - u. What is r rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -104688*n**3 - 2*n**2 + 6*n + 4. Let a be s(-4). Suppose -2*y - 1339992 = j, y - 6*y = 5*j + a. Round j to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, w: 1, o: 2, a: 4}. What is prob of picking 1 r and 2 a?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 6. Let u = 167 - 361. Let q = u - -194.5. Sort 3, d, 0.4, q in decreasing order.\nAnswer: 3, q, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 492.5, 1, 3, 2, 3\/5.\nAnswer: 3\/5, 1, 2, 3, 492.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 + 2*x - 1. Let v(c) = 26*c**2 - 945*c - 3. Give -2*v(s) + 6*y(s).\nAnswer: 2*s**2 + 1902*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 4*l, 4*t + 0*t = -3*l + 8. Suppose -t*c = f + 4*f + 80, 120 = -3*c - 4*f. Let z be ((-100)\/c)\/(2\/(-4)). Let s(k) = -k**2 - 9*k - 4. Give s(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/60*520\/78?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285293309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307 - 325. Let a = 0.02 - -1.98. Is b at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 - -6.87. Let p = l + -7.7. Let f = -2.7 - p. Which is the nearest to -1\/4? (a) -1 (b) f (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5187097900 divided by 5\nAnswer: 1037419580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -191193.\nAnswer: -23\/191193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/21*9*-1. Let n(f) = -f + 1. Let l be n(r). Let b = l - -5. What is the remainder when 3 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*p - 5, 0 = -3*j + 2*p + 11 - 0. Suppose -j*f = 1 - 13. Calculate the remainder when 6 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 74. Calculate k(-19).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*p**3 + 2 + 11 - 12 wrt p?\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 5704912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -3*f + 4, -10 = 5*f. Let i be 305\/(-75) - c\/(-6). Is i less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-4)\/(-4) + 2. Let g be 2*(1 + (-2)\/r). Solve -5*u + g = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 47, 55, 63?\n\"Answer: 8*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*q - 38 + 43, 0 = -4*q + 3*u + 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551266528 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 + 11*t + 5. Let y be g(-8). Let m = 350 + y. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*4\/(-3)*-1. Suppose 0 = 7*l - 5*l - n. Let t(d) = 8*d - 1. Calculate t(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -351.1234, 1\/2, -1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 - y + 49. Let m be j(0). Let w = m + -47. What is f in 0 + 0*f - 3\/7*f**w + 3\/7*f**4 + 0*f**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = -2*d + 2*k + 298, -2*d - 90*k = -3338 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20462372617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**40*g)*g\/(g\/(g**(-13)*g))*g*g*g assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-6)\/9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9.3. Let t = -233 - -232. Is z greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 5*w + 3. Let a be d(5). Let n = a + 87\/4. What is the second smallest value in n, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*m - 15 = -8*t, t = m - 9. Let v(y) = 2*y + 3. Let h(a) = -5*a - 6. Calculate t*v(z) - 3*h(z).\nAnswer: 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112369539, 112369538, 112369537, 112369536, 112369535?\nAnswer: 112369534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*i**2 - 154372*i + 154372*i - i**2.\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 3*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/3 - (-1 - (2 + -3)). What are the prime factors of (-2 + 27)*m\/50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbabbgibaa. What is prob of sequence aga?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -225.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r**2 - 2*r - 387 - 6*r**2 + 0*r**2 - 5*r**2 - 5*r**2 to y*r + o*r**2 + v and give v.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2049*t - 85072 = 265*t + 148*t for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7463.006 kilograms in nanograms?\nAnswer: 7463006000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -523 - -879. Let o = j - -272. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4.7 (b) 2 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/121 - 24\/121. Let o = -4255\/1308 + 1\/327. Find the common denominator of r and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:25 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105210015901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f. Let l(o) = -17*o - 5. Let t(d) = 25*d + 8. Let p(s) = 8*l(s) + 5*t(s). Let y(u) = 20*u. Let j(c) = -11*p(c) - 6*y(c). What is n(j(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 20?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*i - 13. Let k(d) = -4*d - 2 - d - 6 - d**i + 3. Let x(g) = 2*g + 2. What is 2*k(u) + 5*x(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 5200. Let j = 2056 - p. What is the common denominator of j\/(-160) - -1*1 and 37\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285697322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 5*d**2 - d. Let u be p(5). Is 28 a factor of 185056\/160 - u\/(25\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5097284 to the power of 1\/2, to the nearest integer?\nAnswer: 2258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 52. Let d = a + -22. Put 0.1, d, 5 in decreasing order.\nAnswer: 5, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**2 + 44369*s - 5240804?\nAnswer: -6*s + 44369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2*sqrt(33))\/sqrt(3) + -4) - (2*sqrt(132)*1)\/(6*sqrt(48))) + -5.\nAnswer: 7 + 35*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 23 = 3*c, -3*u + 0*c + 13 = 5*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -946.8 rounded to the nearest integer?\nAnswer: -947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7*(320\/35 - 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 900 + -800. Calculate the greatest common factor of 1100 and q.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 87\/(-30) + (-45)\/(-18). Which is the nearest to 3? (a) j (b) -2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3442*a - 10038. List the prime factors of y(7).\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 185 = 2*x. What is the third derivative of -53*a**3 - x + 44*a**2 + 12*a**3 + 37 wrt a?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 32. Let h be b(-12). Let m be (39\/h)\/(-3) - 3\/12. Is -293*(m + (-3 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8448 and 32000.\nAnswer: 1056000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 7, n: 2}. What is prob of sequence yx?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 46*o + 171. What is t(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3 + 19*z**2\/2 - 8*z + 22. Let a be w(-7). Solve -4 = -2*p + a*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 - 14*f - 2*f**2 + 191*f**4 + 4 - 189*f**4 - 4*f**3 wrt f.\nAnswer: 48*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 25. Suppose -y + 2 = -3*g + 3, 0 = 5*g - y - 5. Let c be r\/(-4)*g\/(-3). Solve j + 6 = -k, -k + c*k + j = -18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-9) + 4 + 7168\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9554*a**3 + 9550*a**3 + 9552*a**3 - 38193*a**3 + 9546*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 - 6.636. Let j = z - 0.064. Let q = -4.6 - -0.6. Put q, j, 4 in increasing order.\nAnswer: q, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-237 - 318 - 2512)*(-3*q - 2*q + 4*q).\nAnswer: 3067*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*q - 7*q + 4, 2*d = -3*q + 10. Solve 0 = v + 5*j - 10, -d*j = 5*v + 9 + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*(-9*o + 6*o + 31*o)*(-972*o - 369*o + 157*o - 203*o - 1110*o) as s*o**2 + m + z*o and give s.\nAnswer: -69916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/181551 and 27\/4145.\nAnswer: 907755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28238 - 28239. Suppose -2*t - 4*f = -0*t + 2, 0 = 3*t - 3*f - 6. Let o be (0\/t + 1)\/6. Which is the closest to w? (a) o (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 1. Let b be a(-3). What are the prime factors of 0 + 12 + b + -6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 59601.365.\nAnswer: -59601.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -145 (c) 3\/4 (d) 310 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Let z = -0.98 + -0.02. Let g = -0.8 + 1. What is the smallest value in n, g, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/7 + 4*z**2 - 24*z\/7.\nAnswer: -4*z*(z - 6)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-623*w - 808*w + 497*w)*(-2*w**2 - 22*w + 22*w).\nAnswer: 1868*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4462, -4464, -4466, -4468, -4470, -4472?\nAnswer: -4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 18*z + 60. Let f be l(-14). Suppose -f*a = -3*i - 1162, 3*a - 192 = 5*i + 685. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(1\/((-336)\/(-140)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbdbdwdwddwfqww. What is prob of sequence wq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 12 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((-24)\/(-4))*(-2)\/(-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from eroae.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -89*u**3 - 2*u - 1. Let i be c(-1). What is the common denominator of 44\/16*12\/(-10) and 411\/i - 3\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 6. Let c be -1 + 1 + 2 + 2. Let n be k(c). Let b = n + -2. Solve -b*g + 0*s - 8 = -3*s, 5*g + 2*s - 13 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93344 + 93722.91. Let s = c + -383. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 0*c + c)*(-3*c - 2 + 2) + 0*c**2 + 0*c**2 + c**2 in the form u + x*c**2 + z*c and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 - -4015.\nAnswer: 4014.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**29*((j*((j*j**4)\/j)\/j)\/j)\/j*j\/((j*j\/(j**(-2)*j))\/j) assuming j is positive.\nAnswer: j**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 61 = -68. Suppose 15 = -2*y - y - 2*r, -4*y - u = -5*r. Let f = 75\/11 + y. Is f smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 47530.\nAnswer: 1568490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 19 = -2*g + b, 0 = 3*b - 15. Calculate the remainder when (99\/(-15))\/(9\/(-30)) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 4. Let m be (-400)\/(-28) - 6\/21. Suppose 7*z - m*z - 35 = 0. Give o(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -23. Let w(b) = b**2 - 9. Let o be w(0). What is the remainder when (-2)\/(-9) + c\/o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:33 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -6*r**4 + 316*r**3 + 4594*r**2 + 13976*r + 4160 = 0?\nAnswer: -8, -4, -1\/3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 22*c - 12. Calculate v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 11:39 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/3945369?\nAnswer: -5\/3945369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 9 + 16. Let d = 30 + -13. Suppose -4*o + 19 = -d. Calculate the remainder when a is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896178 is divided by 59744?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**2 - 871323*a**4 - 42 + 435662*a**4 + 435663*a**4 + 3*a**3 - a + 12 to p*a + t*a**3 + l*a**2 + v*a**4 + k and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(272)*2 - sqrt(272))*-2 - ((0 + sqrt(272))*-6 + (2*sqrt(272)*6)**2).\nAnswer: -39168 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -1663386.\nAnswer: 19960632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + b**2 + 16*b**2 - 11*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -18 + 16*g**2 - 31*g**2 + 8*g + 16*g**2 + 3. Let d be m(-5). Is d\/12*(-179 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 3*s + 3. Let k(l) = 4*l**2 + 3*l + 4. Let g(m) = -2*k(m) + 3*y(m). Let b(h) = 5*h + 1. Let x be b(-1). Calculate g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1377 and (-3)\/(-5) + 1*9678\/(-9180)?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let c(y) = 20*y. Let o(h) = c(h) - 4*n(h). Let a(t) = 3*t**2. Determine o(a(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21224 divided by 758.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0.2. Let q = 2827.627991 - 2828.828. Let k = f - q. Round k to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 7, 2\/45?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-125)\/(-100) + 25146*21\/56.\nAnswer: 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 3*w**2 + 3*w + 2. Let q(l) = -l**3 - 4*l**2 - 4*l - 2. Suppose -5*g = r - 18, -4*g + 21 = -g + 4*r. What is g*q(u) + 4*f(u)?\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 55. Let k(x) = 2*x - 1. Let z(i) = -f(i) - 55*k(i). Let r(a) = -3*a. What is r(z(p))?\nAnswer: 330*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 0.5, -112, -0.5, -61, 5 in increasing order.\nAnswer: -112, -61, -0.5, -0.06, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 16\/5*o + 4\/5*o**3 - 12\/5*o**2.\nAnswer: 4*o*(o - 4)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63829.53mg in kilograms?\nAnswer: 0.06382953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 13, 1 in decreasing order.\nAnswer: 13, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -3*g + 1800. Let m = g + -132. Find the third derivative of -35*i**3 - m*i + 144*i - 7*i**2 - 76*i wrt i.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a. Let l(q) = 1927743*q**2. What is o(l(x))?\nAnswer: 17349687*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20645919, -20645921, -20645923, -20645925, -20645927?\n\"Answer: -2*p - 20645917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 36. Suppose 0 = l, -3*x - l = w*l - 21. Let p(q) = q**3 + 15*q**2 - 22*q - 72. What is the remainder when p(-16) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*n = n + 10, 3*n = 2*i - 6. Let o be (i + 28\/16)*48. Calculate the highest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 481. Let z(n) = -6*n**2 + 7*n - 14. Let u(i) = -11*i**2 + 13*i - 26. Let a(s) = -7*u(s) + 13*z(s). What is a(c(v))?\nAnswer: -4*v**2 - 1924*v - 231361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3 + 1 + 3)*(-2*o**4 - o**4 + o**4) - 47*o**2 - 62*o**5 + 64*o**5 + 2*o**4 + 18*o**2.\nAnswer: -2*o**5 - 29*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 514.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32845 and 0.4.\nAnswer: 13138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - u + 432. Let t = 1187\/11 - u. Are 0 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 5) + 6 - -4. Let l(a) = 41*a**2 + 5*a - 6. Let u be l(2). What is the greatest common divisor of u and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x + 16*x + 10*x - 36*x. Let d(m) = -2*m**2 + 49*m. Give i(d(a)).\nAnswer: 4*a**2 - 98*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10\/30 - 13652\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + a)*(-1 + 4 - 1)*(-578*a + 1197*a - 78 - 652*a).\nAnswer: -66*a**2 - 156*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/1771*(70\/(-4))\/(-5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 2091.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w - 6. Let v = -4 + 6. Let y(x) = 5*x**2 + 11*x - 24. Let r(p) = v*y(p) - 9*l(p). Suppose h = 4, -5*k + h + 11 = -10. Determine r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18904710 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 5:34 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-255 + 58*q + 25*q - 79*q)*(2 - 1 + 1)*(-2 - 2 + 5).\nAnswer: 8*q - 510","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-16) + (-49591)\/22. Let p = -2260 - y. Calculate the common denominator of p and (-730)\/(-16)*4\/(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - -1 - (-28)\/4. Let i(v) = v + 2*v - 2*v**2 + 3*v**2 + g. Is i(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176038.\nAnswer: 2, 88019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2051*q + 3657. Does 25 divide y(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7561 a factor of 521135557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/4)*o*o**3)\/(o\/(o\/o**0))**11)**47)**5 assuming o is positive.\nAnswer: o**(3055\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 2)*-4 - (-6*(sqrt(1008)*-2)**2 - sqrt(1008)) - ((1*sqrt(63))\/sqrt(9) + sqrt(28)\/sqrt(36) - (-3 + -2*sqrt(847)))**2.\nAnswer: -176*sqrt(7) + 183275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 921 - 917. Suppose -2*x + 5*x = -2*n + 369, 3 = -n. Suppose -p*g + x = 29. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + -0.2. Let q = 12.9 - c. Let n(p) = p**3 - p**2 - 5*p + 1. Let x be n(0). Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*x = 44481 - 2546, 3*m = -x + 25169. Let q = -14369 + m. What is q rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24283*l**3*x**4 - 39*l**3*x - 2*l**3 - 63*l**2*x wrt x.\nAnswer: -291396*l**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/240 - 19*p**5\/120 + 7*p**4\/8 + 1500*p**2. Factor q(x).\nAnswer: -x*(x - 2)*(x + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*x - 3, 2*d - 5*x - 3 = -18. Let y = d - -16. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 2:28 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q + 33. Let v(j) = j + 1. Let t = 1 + -2. Let p(u) = 4*u + 1. Let i(a) = t*p(a) + 5*v(a). Let c = 4948 + -4981. Determine c*i(k) + 4*m(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3\/2, 0.18, 1, 112.894 in decreasing order.\nAnswer: 112.894, 16, 3\/2, 1, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -9. Suppose -x + o*x - 55 = 0. Suppose -199*m + 172*m + 567 = 0. Calculate the remainder when m is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/4)\/p*p))**(-41))**(1\/26)\/(p**(-2\/17)\/(((p\/(p*p**(1\/3)*p))\/p)\/p)*(p**(1\/4))**(-2\/27)) assuming p is positive.\nAnswer: p**(-246715\/47736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 77 = -19. Let l(c) = -c**3 + 16*c**2 - c + 18. Let j be l(i). Solve -5*h = j*o - 0*h - 6, -2*h = -5*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -400*s - 4796. Let n be h(-12). Solve -b + 3 = -2*r - 3*r, -4*r = -n*b - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 5204478.\nAnswer: -14\/2602239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4633399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = j + 3*o - 0*o, -3*j - o = -3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4*sqrt(931)*1*-4 - (-2*(-1 + sqrt(931) - sqrt(931)) + 4)))**2.\nAnswer: -1792*sqrt(19) + 238400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114.95 + -115. Let w = -0.15 + z. Which is the second biggest value? (a) -2 (b) w (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12. What is the units digit of (x - -2)\/(-2) + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -5. Find the second derivative of -2*b + 7*b**2 - b - 2*b - p*b wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 1, r: 5, a: 1, e: 2}. Give prob of picking 2 r and 1 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -123621*u - 741750. Calculate q(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2806568.\nAnswer: 2, 461, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -2 - (1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 129\/4. Suppose 0 = -5*r + h, -2*r + r - h = 0. Suppose -1 + r = y. Is n at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 58 = -4*m, m + 0*m = -3*c + 73. Let y = 27 - c. Solve 3*i - y = -f, -5 = -0*i - 4*i - 5*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1429*l**2 - l**4 - 1427*l**2 - l**3 - 3*l**4 + 2*l - 1 + 3*l as c + j*l**4 + i*l + r*l**3 + w*l**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 81*k**2 - 357*k + 1881.\nAnswer: -3*(k - 3)*(k + 11)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 81 - 25. Let m = 12 - g. Calculate the highest common divisor of m and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (80\/15)\/((-6)\/18). Let v = 18 + d. Solve -q + 13 = -2*y, -10 = -v*y - 3*q - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehfefqqfffefe. Give prob of sequence qq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -10*f**4 + 21*f**3 - f - 484. Find the third derivative of a(g) wrt g.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -1\/14, -5, 7423 in ascending order.\nAnswer: -5, -0.11, -1\/14, 7423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5 + 2. What is the nearest to y in -0.5, -1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 40 + -14 - -13\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 41*u**2 - 41*u + 44. Let c be w(-42). Calculate the remainder when c - ((9 - 16) + -746) is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3170123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306\/59 or 6?\nAnswer: 306\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6807*w + 6722*w = -10795. What is the remainder when 458 is divided by w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 8:10 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 590 - 1370 = 0. Solve 50 - j = 12*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4009800?\nAnswer: 2, 3, 5, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2104712 and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*-0.127636.\nAnswer: 12.253056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.7*0.5.\nAnswer: -26.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z. Let x be z\/(1*(-5 + 2)). Suppose x = -4*n + 5*n - 2. What is the nearest to 1\/6 in -0.2, n, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/5)\/q**(-8))\/(q**(-2\/19)\/(q\/(q\/(q**(-9)\/q))*q)))\/((q*q*q*q\/(q\/q**0*q))**25*((q\/(q*q**(-8)))\/q)\/(q**(-4\/5)\/q)) assuming q is positive.\nAnswer: q**(-1138\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -4 - (5\/1 + -3). Let r(t) = -4 - t - 3*t + t**q + 5 - 3. Determine r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -192*u + 22. Suppose -5*r = -p - 3*p - 35, 3*r + 11 = -4*p. Let t(c) = 577*c - 65. Let b(f) = r*t(f) + 8*x(f). Is b(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4 and ((-3)\/4)\/(((-132)\/(-16))\/(-3)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.3 - -17. Let f = 0.2 - z. Let d be (-95)\/38 + 1\/(-3)*-3. Which is the smallest value? (a) f (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -8. Let j = v + 3. Suppose j*r - 7*r = -8. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186846 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.95? (a) -1 (b) 10 (c) 27 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*a**3*b**3 + 5*a**3*b - 3*a**2*b**2 + 5*a*b wrt b?\nAnswer: 636*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -25, -3 in descending order.\nAnswer: -3, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 31*h**2 + 154*h - 156. What is the remainder when 69 is divided by v(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6486\/(-340)*(-9)\/(-27). Let v = d + 120\/17. Calculate the common denominator of v and -4 + (63\/8)\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.052 + -1331\nAnswer: -1330.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256 - 309.5. What is a rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13*(-1 - 0)\/(-1). Suppose 3*n + w = 3*b + 1, 2*b = -5*n - 20. Does n = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 13, h: 2, i: 2}. Give prob of sequence oi.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (1 - -8 - (-110 - -108))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p*v**2*y + 7*p*v**2 + 3*p*y**2 + 103*v**2*y**2 wrt p?\nAnswer: 3*v**2*y + 7*v**2 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -9*q - 1\/4*q**4 + 8\/3*q**3 + 2*q**2 + 3. Is y(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*s + 23 = -2, -s = -p - 5. Suppose 1534 = -p*d + 13*d. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0214687 days in milliseconds?\nAnswer: 1854895.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/532 and 88\/12369.\nAnswer: 49476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Find the third derivative of -4*z**2 + 0*z**2 - n*z**5 + 2*z**2 + 2*z**5 wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + 3)*3 - (((1*sqrt(187))\/sqrt(11))**2 + (-2*sqrt(68))\/sqrt(4)).\nAnswer: -8 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -3\/14, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:42 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - 39\/(-15). Solve -2*f + r = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (2 - 1) + (18 - 110) + 113 + -67.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216817428 divided by -36136238?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t*t**(-2\/51)*t)\/t)\/t*t)\/t)\/t)\/t**2)**8 assuming t is positive.\nAnswer: t**(-1240\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*t = -269*t + 15. Let w(u) = -2*u + 5. Calculate w(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5172 is divided by 103.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 87 (b) 2 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 124*r.\nAnswer: -2*r*(r - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7895?\nAnswer: 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 2*c**2 - 10*c - 6. Suppose 21*y - 27*y = 24. Let v be a(y). Let r be (-1 - 3\/(-4))\/((-3)\/2). Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10325 (base 6) to base 2.\nAnswer: -10110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8\/9)\/w)\/(((w*w*w*w**(-19\/6))\/w)\/w))\/(w**(-25)*w)**(14\/9) assuming w is positive.\nAnswer: w**(677\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 34042644 in decreasing order.\nAnswer: 34042644, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8667396 times 0.21\nAnswer: -1820153.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 223 and -0.6131.\nAnswer: 222.3869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175.2, 7\/8, 24 in decreasing order.\nAnswer: 175.2, 24, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9387 less than -89.8?\nAnswer: -88.8613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-29)*c**(-1\/30)\/c assuming c is positive.\nAnswer: c**(-901\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/4 - q**3\/2 + 14*q + 34. Let l(i) be the first derivative of s(i). Solve l(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (512\/80)\/(40\/225)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Let d be ((-1)\/(-3))\/((-1)\/j). Is -1\/2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1458 - 1343.88. Let x = j + -114. Sort x, -1, -3 in increasing order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1691*i + 46747. What is g(-27)?\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:58 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97625, 390503, 878617, 1561955, 2440505, 3514255, 4783193?\nAnswer: 6247307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4745, 18961, 42671, 75887, 118621, 170885, 232691?\n\"Answer: 2*a**3 + 4735*a**2 - 3*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-18*s + 26 - 26) + (2 - 3 - 2)*(1 - 1 + s).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {t: 1, q: 1, j: 1, m: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 + 4*x - 8. What is the smallest common multiple of j(5) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g - g)*(-32019 - 8021 - 47747 + 17972 - 70171).\nAnswer: 279972*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, e: 1}. Give prob of sequence aaae.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 9. Let b be v(5). Suppose -29*k - 20*k = 0. Sort -3, k, 2, b.\nAnswer: b, -3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -368*p - 8180. Let c be w(0). Is -8179 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-56)\/84)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -73, -84, -93, -100, -105?\n\"Answer: t**2 - 16*t - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17677 and 536738?\nAnswer: 5904118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 999 + -994.2. Put -2, b, -5 in ascending order.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*y + 5*y - 38, -4*h + 37 = 3*y. Let q(d) = d - 3. Let l be q(h). Suppose -l*r + b = -209, 3*r - 2*b - 86 = 67. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 9*n**2 - 30*n - 77. Calculate d(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 25*d**4\/6 - 85*d**2 + 180*d. What is the first derivative of n(c) wrt c?\nAnswer: 100*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**4 + 7*w**3 - 2*w**2 - 1. Let v(c) = -c**5 - c**4 + c**2 - 1. Let f(r) = 5*m(r) - 5*v(r). Suppose f(i) = 0. Calculate i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20714625 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*p = 42*p - 666. Which is greater: 22 or p?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-405)\/(-72))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56352397?\nAnswer: 89, 293, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*t**5 + b*t - 2*b - 390*t**5 - 5*t**2 - 17*t wrt t.\nAnswer: -120*b*t**2 - 23400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*b + 10*s - 9*s, 29*b - 104 = 22*b + 3*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15*((-12)\/(-9))\/(-2). Let f = r - 6. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 949282 and 3.\nAnswer: 949285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -87144 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - (2 - (-7 + 0)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25 - 12 - -15) + (-24)\/3. Sort -4, g, -17.\nAnswer: -17, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/6 + 9*c. Let i(n) = 27*n**2. Give i(p(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.26 - 26. Round z to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/7)*d*d*d**(-1\/2)*(d**(-1))**(-42\/13) assuming d is positive.\nAnswer: d**(939\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.01, -21, -3\/2, -5, -1\/8, -9, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 123391641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577125.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1299 - -1456. Calculate the remainder when x is divided by 60.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004676488 rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {b: 1, e: 7, t: 5, g: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -3*(-12)\/9. Let w = 7 + m. Suppose -30 = -0*c - w*c. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 1432244*f + 1432244*f.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3295\/7 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*3\/6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000217381 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 0.5 (c) -163 (d) -1056 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + 2 - 2)*(4 - 1 - 2) - 2*a + 1 - 1 - 641*a + 272*a + 298*a)*(1 - 1 - a).\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**4\/3 - r**3\/6 - 6*r**2. Calculate the remainder when v(-3) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 72) + (-238 - -257) + -29?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, -3, -21, 1, 2, -36 in descending order.\nAnswer: 17, 2, 1, -1, -3, -21, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, 4\/3, 1, -2719, 2\/63, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -24, -21, -18, -15?\n\"Answer: 3*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -244.\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*a + 58 = -2*a, -31*r = -30*r + 3*a - 87 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 291, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r**2 + 89*r - 99. What is j(9)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6210 and 575.\nAnswer: 31050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/244770969 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/7)\/((-18)\/42). Let n(u) = -u + 27. Let l be n(17). Let x be (-204)\/85 - 6\/l. Which is greater: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - -1*(-1 + sqrt(27)))*2)**2 - ((-2*sqrt(75) - sqrt(3))**2 + -4)*5.\nAnswer: -1359 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1144?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -80a2a82?\nAnswer: 80a2a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9 = -q - 2*q, -2*q = 2*s + 16. Let l = q - -7. What is the third derivative of 5*r**5 - 69*r + 69*r + r**l wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1274*w**3 - 79784*w + 79784*w.\nAnswer: -1274*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 15. Let z be u(-13). Suppose z*f - 4*f + 4 = 0. Factor 4\/7*r**3 + 0 - 4\/7*r**f - 1\/7*r**4 + 0*r.\nAnswer: -r**2*(r - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(136) - sqrt(136)*-1)*-3 - (sqrt(136) - 2*sqrt(136))*-5)\/(sqrt(96)\/(sqrt(48)\/sqrt(16)))*1.\nAnswer: 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let l(k) = k**2 - 4*k - 8. Let v be l(6). Suppose -3*d = -5*j - 6, -d + 13 = v*j - 2*j. Suppose -d*u = -4*u + 6. Determine s(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 2*b**4 - 4*b**4)*(54 - 107 + 71).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 15. Let d be 1 + -1 - 0 - 25\/(-5). Let m be r(d). Solve c + 5*u = 5*c, 5*c + m = 5*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 + w**3\/2 - 77*w**2 + 127*w. Let n be v(-14). Solve n = -k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 + 32085*r**4 + r**2 - 1328*r - 113?\nAnswer: 20*r**3 + 385020*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 1 - 157. Let y = l - 33. Suppose -113 - 121 = -13*u. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - v = s - 32, -27*s - 10*v = -9*v - 55 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1652438 by -229.\nAnswer: -1652438\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4043, -20963, -49161, -88637?\nAnswer: -139391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212204119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f + 2*f**2 - 7 - f**2 + 0*f**2. Let w = 2 + -7. Let i be m(w). Which is the closest to 0? (a) 2\/11 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -37. Suppose -w = i*w - 120. Solve -3*r = 5*t - 30 - 10, 3*r = 2*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 0, -2\/5, -1047 in descending order.\nAnswer: 6\/11, 0, -2\/5, -1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-2*6)\/((-2*sqrt(72))\/sqrt(12)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4129072 is divided by 172036.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -512c - -1?\nAnswer: -512b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b0aa (base 16) in base 12?\nAnswer: -15b976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x + 35. Let v(a) be the first derivative of 2*a**3\/3 + 9*a**2\/2 - 1. Let w be v(x). What is the greatest common divisor of 54 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-4) - -12*4. Let c be g\/(-8)*-4 + -2. Factor 7*w**2 - w**2 - 11*w**2 - c*w.\nAnswer: -5*w*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnpnnnn. Give prob of picking 3 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 16*r = -59*r. Solve -4*t - m - 15 = r, 29*m + 5 = 30*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 11. Let k(u) = -u**3 + 8*u**2 + 18*u + 30. Let t be k(10). Determine p(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 2, f: 5, o: 5}. Give prob of picking 4 o.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111802 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1908 + -1931. Sort -3\/2, m, 0.5 in ascending order.\nAnswer: m, -3\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 535, 1013, 1491, 1969, 2447?\n\"Answer: 478*l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123384307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -33. Suppose 1 = r + 4*p, r - b = -r - 2*p. Let d = 439 - 426. Calculate the greatest common factor of r and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 6*y**2 + 0*y**2)*(-2124 + 350*y**2 + 2124) - y + 2*y**3 + y**3 + 2 - 7*y**3 - y**4.\nAnswer: 349*y**4 - 4*y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from {q: 3, h: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 525851.\nAnswer: 525850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/6 + 2)*162\/12. Let t be c\/(-3)*(-6)\/9. Let s = 0.1 + -0.1. What is the third biggest value in 4, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {c: 5, f: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1975156670?\nAnswer: 2, 5, 47, 4202461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291000 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*b**3 - 2*b - 128*b**3 - 96*b**3 - 213*b**3.\nAnswer: -329*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 15. Suppose 0 = w*l + n - 59, -4*l - 2*n = -l - 34. Suppose 7*u + 0*u - 21 = 0. Solve 0 = 3*p + u + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.4 (b) 60 (c) -0.1 (d) -215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -29*t**3 - 28*t**3 + 0 + 56*t**3 - 2. Let p(y) = -7*y**3 + 7*y**2 + 7. Let x(f) = -3*h(f) - p(f). What is the third derivative of x(n) wrt n?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in decades?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (9 - 4) - 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3)\/u)**(1\/7) assuming u is positive.\nAnswer: u**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l, 0*y + y - 2*l = 1. Suppose 18*m + 94 = 148. Let a be 0 - m - (365\/(-75) + 2). What is the second smallest value in 3, a, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29064925.\nAnswer: 5, 1162597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3466343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 6*d - 2. Give u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 1. Let i be u(-1). Suppose 534*f - 529*f + 5 = i. Let t = 56\/17 - 53\/17. Which is bigger: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r**(-1\/3))\/r)**25)**(18\/5))**(-4\/11))**(1\/33) assuming r is positive.\nAnswer: r**(40\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272257, -544523, -816789?\nAnswer: -1089055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -7)\/((-98)\/28). Find t such that -z*t**5 + 10\/3*t**3 + 10\/3*t**4 + 0 - 10\/3*t**2 - 4\/3*t = 0.\nAnswer: -1, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-12)\/(-63)*-8*(-266)\/1216)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 86 - 98 = 0. Let j be 1 - 4 - 268\/m. Let v = -3 + 5. Put 3, j, v in ascending order.\nAnswer: j, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:20 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -15. Suppose 4*b - 7*y + 2*y = o, -5*b - y + 15 = 0. Find the second derivative of -i + i - 2*i + 0*i - b*i**2 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502729618?\nAnswer: 2, 41, 6130849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 32*x - 4*x**2 + 31*x + 63*x - 1 - 128*x. Let b(l) = l**2 + 1. Determine -3*b(f) - z(f).\nAnswer: f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18671387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r)\/(r*r**(4\/7)\/r) assuming r is positive.\nAnswer: r**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(840\/16)*(-25)\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 11*w**2 + 3. Let q be 1\/5 - (168\/15 - 0). Let d be s(q). Solve 0 = n + d - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*b + 5*w - 34, -b + 3*w + 30 = 0. Calculate the smallest common multiple of b and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -654975 + 655195 + y - y + 196*y**2 wrt y.\nAnswer: 392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1681, 0.5, -1\/5?\nAnswer: 2\/1681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*b - 8 = 9, 5*b = -25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32 + 8 = 0. Suppose q*k = 3*k + 90. Suppose -5*p + 5 = k. Put -1, 2, p in decreasing order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 6*w + 7. Let j be z(-5). Solve 1 + j = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53314, 213413, 480244, 853807, 1334102?\n\"Answer: 53366*s**2 + s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/73 (b) 2\/5 (c) 5 (d) -1\/4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 823981045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -7. Let h be 2\/p*(-4 + -2). Let j(o) = 2*o**h + 2*o + 2*o**2 + 4 + o**3 - o. Give j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5*-2)\/(-5))\/(22\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3 - 300*f**2 + 99*f**2 + 87*f**2 + 109*f**2 + 7*f. Let l(u) = -4*u**2 + 6*u + 2. What is 4*l(w) - 3*y(w)?\nAnswer: -w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0 - 4. Let h(p) = 3*p + 20. Let c be h(-7). What are the prime factors of (o\/c)\/((-5)\/115)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 359999340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*y + y. Let d(f) = 9*f + 18. Is 31 a factor of d(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/72 + 65*r**3\/6 - 12675*r**2\/4 + 291*r. Suppose g(j) = 0. What is j?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -184 and -0.02.\nAnswer: -184.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89.215 + -0.215. Let c = b - 89.5. Let a = 5.1 - 2.1. What is the third smallest value in -1, a, 0.05, c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14495, -14532, -14625, -14774?\nAnswer: -14979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336141 and 8892?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -77*z - 427. What is the least common multiple of v(-6) and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*f + 73 - 91, -3*f - 6 = 3*q. Solve 0 = 5*p + z - 17, -z + 4*z + 3 = q*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14155 divided by 2\nAnswer: 14155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -162\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21. Solve r = -s - 0*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 - 128*w - 47. Give h(-25).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003436972 rounded to seven decimal places?\nAnswer: -0.0003437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47406?\nAnswer: 2, 3, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -2*l**2 + 0*l**3 + 1\/60*l**5 - 23\/8*l**4 - 148*l + 0. Let a(z) = z. Give a(f(j)).\nAnswer: j**2 - 69*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6060.6 - -6061. Let z = 19 - 19.64. Let q = 0.04 + z. Which is the smallest value? (a) q (b) -2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k**2 + 7*k + 1. Let m(i) = -5*i**3 - 29*i**2 - 25*i + 2. Let p(v) = 4*a(v) + m(v). What is the second derivative of p(s) wrt s?\nAnswer: -6*s - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -2177, -5478, -10137, -16160?\nAnswer: -23553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 110. Let q = 9 + -5. Solve 4*f + 37 = -5*d, q*f + p = -4*d - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwzwwwwwwzwzzz. Give prob of picking 3 w.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1. Let i(d) = -3*d + 3. Let w(j) = 10*j - 13. Let o(f) = -7*f + 9. Let p(l) = -7*o(l) - 5*w(l). Let m be p(5). What is m*b(h) + i(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - 3 - -3 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose q*z = -3*a - 3, -z + 5*z - 3*a = -18. Let h = -3 - z. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2, -4*i + 4*q = 2*q - 20. Suppose 3*s - i*s + 15 = 0. Suppose -s*z = -4*z - 3. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6*s - 13*w + 68 = -9*w, 38 = 2*w + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -71*o**2 + 15*o - 14. Suppose j - 2*l = -5*l + 16, j = -5*l + 24. Suppose -8*u + j*u - 36 = 0. Let f be s(u). Round f to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17188 - 14400. 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 2 times 10.385?\nAnswer: 20.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, 4, 15, 129.\nAnswer: -2, -1, 4, 5, 15, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -6. What is the greatest common divisor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.227 - 0.227101. What is n rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 4*y**2 - 21*y - 9. Let m be w(6). Calculate the greatest common factor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 8110544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57004967971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 28708 - 647*k**2 - 28708 as q*k**2 + c + x*k and give q.\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 294170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {p: 1, i: 3, o: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, -1177\/6, -1\/8 in descending order.\nAnswer: -0.1, -1\/8, -1, -1177\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 825167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159 less than 0.11?\nAnswer: 0.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03257 - 56.90743. Round f to 0 dps.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 48912*m - 1512428.\nAnswer: -4*(m - 12197)*(m - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 5*m - 3*m + 9*m.\nAnswer: m + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -8. Let u = -7 - z. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 5, 0.79, -477, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.629 - -2.371. What is the third smallest value in 1, y, -163, 1\/7, 1\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773 a factor of 784653258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-1)\/(-10)*(-64)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 p, and 1 i when four letters picked without replacement from biizizbpp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 1 + 7*i + 49 + 1 - 7*i - 9*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6259 is divided by 55.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 12, -60*x + 58*x - 22 = -4*u. Solve -u*j - 3*g = -15, -5*j - 5*g = 1 - 26 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4\/7 + 269146*w**3\/7 - 19224*w**2 - 269146*w\/7 + 134572\/7 = 0. What is w?\nAnswer: -1, 1\/2, 1, 67286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168652743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, i: 5, f: 1}. Give prob of picking 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = 1. Suppose 3*p = -4*m + 68, -m - v + 0 = 0. Let w be (-2)\/(-12) - (-572)\/p. Calculate the greatest common factor of w and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5473650437*q**2 - 99*q**3 + 5473650437*q**2.\nAnswer: -99*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -1\/20 (c) -1\/11 (d) 1\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 25*p - 6 = 0, 0 = 3*s - 2*p - 213. Put s, -24, -4 in decreasing order.\nAnswer: s, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -126 in decreasing order.\nAnswer: 2, 0.2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.8 + 37. Which is the third biggest value? (a) d (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 3 + (2 - 4 + 3)*(-1 + 0 + 2) + 0 - 2 + 0 + 5 - 1 - 2)*(8922*y**3 + 3 + 3 - 8925*y**3).\nAnswer: 12*y**3 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 - 348 = -25*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109\/2 + 56. Let n = 5.12 + -0.12. Let w = -1.5221 + 0.5221. Put w, o, n in decreasing order.\nAnswer: n, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -2) + (-1 - 0). Let l be 5*4\/100*5. Do l and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -617.8129 <= 1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -b2?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 13. Let g be w(3). Suppose -58*x + 54*x + g = 0. Solve -z - x = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 11*h**2 - h - 12. Let u be x(-11). Let d be (u - -4)\/(9\/(-6)). What is the biggest value in -4\/3, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose r = -0*u + u. Solve -9 = u*c + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 2*r)*(-3*r + r + 4*r) + 10 - 10 + 4*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 - 242*h**2 + 165*h + 12. Calculate m(80).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 1306\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*y - 114 + 112*y + 112)*(2*y**2 + 0*y**2 + y**2) - 3 + 5 - 7 - 5*y**3 to the form i*y + r*y**2 + f + m*y**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 + 285. Let m be (-9 - -5) + 2782002 + -2 + a. What is m rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.991 - 36. Round r to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3510 and 53430?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11590.31 + -11926. What is g rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -38*z + 57. What is n(6)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-22 - -27)) + 2 - 23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 1177098.\nAnswer: 2001066.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 3:05 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7465549878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {r: 1, i: 1, h: 2, q: 3, f: 1, l: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41010 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 64 + -5 - (-17 + 46)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**12)**18 assuming m is positive.\nAnswer: m**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let g be b(-3). Let r be g\/12 + (-50)\/8. Let p(c) = -c**3 - 7*c**2 - 7*c + 2. What is the units digit of p(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 191\/4 (c) 0.4 (d) -39\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 2 + 19 - 1 + 2. Let q be f(4). Solve 2*a - q = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Let n(p) = p**3 - 3*p**2 - p + 8. Let f = -14 + 32. What is the lowest common multiple of f and n(x)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 63*r**2 - 123*r + 105. Determine t(61).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26583836, -26583837, -26583838?\n\"Answer: -k - 26583835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 1. Let h(q) = 13*q - 75. Let u = -205 - -211. Let p be h(u). What is b(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.53 + 0.6. Let k = z - -2.93. Let u = -2\/321 - -430\/321. What is the nearest to 0 in u, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94484 and 1472.\nAnswer: 1511744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 272*s**2 - 113*s - 812. List the prime factors of m(-7).\nAnswer: 7, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 75 = -0*h + 3*l, 53 = 2*h + 3*l. Suppose -6*n = n + 91. Calculate the remainder when h is divided by (n\/2*2)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18201 - 25921. Round f to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, 64, 253, 620, 1225?\n\"Answer: 10*w**3 - w**2 + 4*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 4, p: 7}. What is prob of sequence ppp?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 - 2*l - l + 4*l + 0*l.\nAnswer: l - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-20)*(-140)\/126.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3 + 5 + 4*g**3 + 6*g**3 + 11 wrt g.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2850253 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 164*j - 4078. Calculate the remainder when 1428 is divided by k(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -341 - -174. Let a = 602 - y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993736 + 3*f + 993736.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*w - 23*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 - 1073*w**2 + 11574*w - 2233. Determine s(257).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - u**3 + 3*u**3)*(0*u + 0*u - u**2) + 223 + 2*u**5 - 223 - 78*u**2.\nAnswer: 4*u**5 - 78*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 - 4*z**2 - 3*z - 2. Let u be l(-3). Let t = -95 + u. Solve 5*k = j - t, 1 + 0 = -2*k - 3*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721513, -1443141, -2164769, -2886397, -3608025, -4329653?\nAnswer: -5051281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. What is the remainder when ((-3)\/(-24))\/(30\/42960) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v - 70. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 + 1900*o\/11 + 3792\/11.\nAnswer: 2*(o + 2)*(o + 948)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2499 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2883552, -2883626, -2883698, -2883768?\n\"Answer: h**2 - 77*h - 2883476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p - 34*p + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 60483048\nAnswer: -3\/20161016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6505 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15492160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.76. Let f = m + -0.0585. Round f to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 57*j - 1702. Calculate z(26).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 4*t + 20. Let p be v(0). Find the first derivative of -p - 18*j**3 - 19 + 4*j**4 - 4 + 78 wrt j.\nAnswer: 16*j**3 - 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cab + 20d17?\nAnswer: 21ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.79 + 2.59. Let w be (-39)\/(-26) - (-9)\/(-8). What is the nearest to 0 in w, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34710.4 * 0.7\nAnswer: -24297.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 80 - 88 = 0. Solve -g + 3 = 0, 2*u + 2*u + n = 4*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/11)*n*n)\/n)**(-4\/15)\/(n**(-26)*n\/(n\/(n\/((n*n\/n**(2\/5))\/n)))) assuming n is positive.\nAnswer: n**(4168\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*3.6.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -147*r - 2454. Calculate o(-23).\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*y = 373033 - 385353 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -76*a**3 - 26*a**2 + 40*a - 18. Let j be q(-23). What is j rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4550229 is divided by 10655.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84164097 to the power of 1\/2, to the nearest integer?\nAnswer: 9174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i - 3*i)*(22 - i**2 - 22) + (4*i**2 - 3*i**2 + i**2)*(-1 + 1 + 2*i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r**13\/r)\/r)\/r*r*r)*r*r**(3\/7) assuming r is positive.\nAnswer: r**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + -15.1. Let j = 17 + i. Let o = 0.2999948 + j. What is o rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -157*y**5 - 40*y - 48. What is the first derivative of h(z) wrt z?\nAnswer: -3140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 16. Find the third derivative of 3*v - 5*v - 2*v**r - v**2 + 2*v wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/131453 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, b: 8, e: 1}. What is prob of picking 2 b?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -544 + 1426. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567713 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3 - 20*y**2 - 3245*y - 3220 = 0. What is y?\nAnswer: -23, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Let i(o) = -3*o - 3915. Give i(m(c)).\nAnswer: -6*c - 3915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*q = -175*q - 61 + 1741 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -189*s**2 - 13*s - 55. Let l(o) = 2*o + 9. Give 6*l(z) + r(z).\nAnswer: -189*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-45))\/8 + 3 + -3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 25, -4 in ascending order.\nAnswer: -4, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-108)\/(-90)*(12\/(-8) + 4). Suppose -i - 3*b = -4*b - 257, i = u*b + 267. What is the remainder when i is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = 0, -16*x = -15*x - 4*c - 18. Let w = 23 + -2. Calculate the highest common factor of x and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*b - 137*b - 49*b)*(-b + b - 2*b).\nAnswer: 446*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**10\/5040 + j**6\/120 + j**3\/3 + 2. Let m(x) be the third derivative of p(x). Find the third derivative of m(d) wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 1 = 37*p. Is (0 - -1077) + (p - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ews when three letters picked without replacement from {o: 2, s: 4, t: 1, w: 1, e: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2403, 0.2, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 198304599 to the power of 1\/2, to the nearest integer?\nAnswer: 14082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(1458) + sqrt(1458))\/(-3*sqrt(30)\/(sqrt(5) - (sqrt(5) + -1*sqrt(5)))))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -628.95818 + 629. Let c = 0.0516 - b. Round c to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -3 (c) -57869.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -286 + 306 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 + 9 = 0. Solve -2*s + s = -u*o + 7, 0 = 4*s + 3*o - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 1, -1050, -8 in descending order.\nAnswer: 1, -2, -8, -13, -1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 829 - 829.5. Which is the third biggest value? (a) -0.1 (b) 0 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -19332894.410244?\nAnswer: -19332890.410244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 52*v**2 - v + 11. What is the hundreds digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4854 + -2.14.\nAnswer: -4856.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5\/4 - 489*w**4\/4 - 15267*w**3\/4 + 91569*w**2\/4 + 361746*w = 0.\nAnswer: -29, -8, 0, 11, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*x**2 - 179*x**2 + 173*x**2.\nAnswer: -799*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vla when three letters picked without replacement from vvovlayvyoooavayayva.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 192953.\nAnswer: 8\/192953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11 + 216*z - 9 - 6. What is the tens digit of c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 27*s - 166. Calculate n(-23).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52464426 - 0?\nAnswer: 52464426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348, -1315, -2912, -5133, -7972, -11423?\nAnswer: -15480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-463\nAnswer: -46.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 15*m + 11. Let u be g(15). Let p(w) = -w**3 + 12*w**2 - 10*w - 7. Let o be p(u). Find k, given that o*k**2 + 46 - 32*k + 33 - 15 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 1. Let j(v) = -v**3 - 6*v**2 + 2*v + 5. Suppose 3*p - 7 = -2*h + 2*p, -23 = -4*h + p. Let w = -633 + 634. Determine h*s(u) + w*j(u).\nAnswer: -u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 529471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -8 - 9 - 1) + (-12 + -1 - -102).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54856729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 - 5*p - 5. Let d(n) = 4*n**2 - 2*n - 2. Let w(t) = 5*d(t) - 2*l(t). Let c(z) = 6*z + 10*z - 10*z. Calculate c(w(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1 + 41. Let k(c) = c**2 - 41*c + 81. Let r be k(13). Let y = 289 + r. Calculate the highest common divisor of y and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4592473390.8\nAnswer: -4592473388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 334964 and 10192.\nAnswer: 17418128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**3\/3 - 19*o**2\/2 - 13*o + 3725. Let x(y) = y**2 + 6*y + 4. Give 2*f(h) + 7*x(h).\nAnswer: 3*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 38. Let d(b) = b**2 - 5*b + 4. Let q be d(5). Suppose a = -4*t + 5*a + 268, -q*t + 277 = 5*a. What is the greatest common factor of t and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or 530?\nAnswer: 530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 7, -1.\nAnswer: -1, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2195 - 31*m + 53*m - 21*m)*(4 - 2 - 3)*((-2 + 1 - 1)*(1 + 2 - 4) - 4 + 1 + 2) to the form w*m + q and give q.\nAnswer: -2195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 78?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1019328 at most as big as -1019344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2121406.\nAnswer: 2, 7, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 43. Let f = 10 + b. What is the remainder when 23 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/4 + 161*m**2 + 4557*m\/4 = 0. Calculate m.\nAnswer: -7, 0, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2873050 divided by 1\nAnswer: 2873050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3866250 - 1576.4\nAnswer: -3867826.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r = -5*a + 5, 10 = 3*r - 4*a. Solve -r*q = -2 - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2604 + 7230 + 2486 = 1025*a + 5*q, 4*a - 28 = 5*q for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:36 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 2}. Give prob of sequence ff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/17 - 1584*h**4\/17 - 49192*h**3\/17 - 110460*h**2\/17 + 4315622*h\/17 - 4154388\/17 = 0?\nAnswer: -19, 1, 7, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 80162271?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6078 - 372 = 5*p. Round p to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 17*w - 43. Determine d(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*f, q + f - 12 = 4*f. Suppose 2*a - b = -0*a + 22, 2*a - 14 = -3*b. Solve -x - a = -q*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -35 (b) -0.2 (c) 2.8 (d) 0.4 (e) 11\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 2, 11, -11\/2, -0.07, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63777?\nAnswer: 3, 7, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1403802481 to the nearest one hundred thousand.\nAnswer: 1403800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 5*m + 4*m - 11 + 23*m)*(7*m**3 + 99*m**3 - 16*m**3).\nAnswer: 2880*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**2 + 22*x. Let m(i) = 1015*i. What is m(d(z))?\nAnswer: 10150*z**2 + 22330*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183.195 - 60.25. Let l = 125 - q. Round l to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 60. Let f(d) = 27290*d**2. Give k(f(t)).\nAnswer: 1489488200*t**4 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-2)*d))\/d*(d*d*d*d*d**(-4)\/d*d*d)\/d)\/(d**1*d)**(9\/2) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50.15, 0.1, 12\/13, 2\/45, -5 in decreasing order.\nAnswer: 50.15, 12\/13, 0.1, 2\/45, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 8542957, -4, -3 in descending order.\nAnswer: 8542957, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21918177 or 21918174?\nAnswer: 21918174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 - (-9)\/(-3) - 3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 16*u + 28. Let w be n(-2). Suppose 0 = 3*c + 8*b - 4*b + 11, b - 2 = 4*c. Put w, 3, c, -3 in increasing order.\nAnswer: -3, c, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 8) + 21 + -5 + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 24 = 3*b. Calculate the least common multiple of 16 and b*(5 - 0\/4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 47 - 90 + 50. Put 49, 14, m in ascending order.\nAnswer: m, 14, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 5*a + 6. Let b be t(6). Suppose -5*y + 10 = -b*y. Suppose y = s - l + 6, -l + 4 = -4*s. Solve s*z = 2*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3716 (base 12) to base 11.\nAnswer: 4736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/6 - -2)*(-522)\/(-14). Let z = a + -137. Let w = 7.7 + -7. Sort z, w, -1 in descending order.\nAnswer: w, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 12*u - 7. Let a be z(11). What is the second derivative of -2*c - 5*c + 2*c**2 + 4*c + a*c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 3) + -2 - (21 + -24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.114745 to 3 decimal places.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709 = 3*l + q, 4*l = -4*q - 68 + 1000. Calculate the least common multiple of 85 and l.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8)*-310*(-6410)\/(-32050).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 + (17 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(288)*-1 + 0) - (2 + (sqrt(288) - sqrt(288)*-2)*4))**2 + 1.\nAnswer: 288*sqrt(2) + 10370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -13. Let v = p - -10. Suppose -r - 4 = -5*r + 4*x, -x = -1. Solve -r*b - 4*y = 18, -v*y - 19 - 11 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2259*w + 391. Let v(t) = 251*t - 42. Give 2*p(n) + 19*v(n).\nAnswer: 251*n - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -2. Let t be (r\/3)\/(18\/12). Let m(o) = 4*o - 8. Let l be m(t). Which is smaller: l or 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3062995 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -849 = -15*m + 2691. Solve 48 = m*u - 228*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 3\/2 (c) -9645\/86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**3 - y**3 - 1 + 3 - 6*y**3 wrt y.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897.939 litres in millilitres?\nAnswer: 897939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2050876 divided by -78\nAnswer: -1025438\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -43*w + 2. Let m(j) = 4484*j - 209. Let s(u) = 209*l(u) + 2*m(u). Let p(o) = 12*o**2 + 10*o**2 - 26*o**2. Calculate s(p(c)).\nAnswer: 76*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1824\/(-20))\/38*(-10)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 7. Let h be l(-3). Suppose -2*q = 5*y - 3, 0 = -2*y - 0*q + 5*q + 7. Put -2, y, h in increasing order.\nAnswer: -2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -589\/488 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - 16) + 1271 + -1201?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.33969316 and 0.5.\nAnswer: -0.16984658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 10*j**4 + 6*j**4 - 3*j**2)*(4*j + j - 3*j).\nAnswer: -8*j**5 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4 + 65*a**3 - 85*a**2 - 305*a + 330 = 0. What is a?\nAnswer: -2, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17516000 - 64*j - 17516000.\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d - 17. Let p = d - -19. Suppose -3*t = 4*s - 29, -4*s - 4*t = -p*s - 22. Solve -i - 3*i = -l + s, -10 = -2*l + 5*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*y + 27, -y + q + q + 7 = 0. Solve 5*f + 0 + y = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**2 - 4*d + 1. Let m(v) = -4*v**2 - 2*v + 1. Let c(f) = -9*m(f) + 4*x(f). Let o be c(3). Let y = -72 + o. Solve -y = -3*t - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 84.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:31 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1035444*m**3*p**2 + 166*m**3*p - 200912*m**3 + 3*p**5 wrt p.\nAnswer: -2070888*m**3 + 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/45 and -41\/6450.\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 15) to base 7.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1496, 3.1, -3?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -625333, -1250665, -1875999, -2501335, -3126673, -3752013?\n\"Answer: -s**2 - 625329*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-6 - -2)\/(-2). Suppose 0*o = w*o - 75. Suppose 5*y = -0*y + 2*c + 71, y + 5*c = o. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, f: 5, y: 2, x: 1}. What is prob of picking 1 p and 1 x?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((1530\/(-855))\/17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314 + 396 - 5095*m - 84.\nAnswer: -5095*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = -0*w, 0 = -2*r - 2*w + 14. Let a be 22\/8 - r\/(-8). Suppose 0 = -a*v + 2*v + 4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dd - 31?\nAnswer: -11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttvt when four letters picked without replacement from tttvtvtttt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from seheeessseeeeheeess?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:22 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 1. Let r(t) be the third derivative of -t**3 + 0 - 1\/60*t**6 + 0*t + 0*t**5 + 0*t**4 + 16*t**2. Let p = 2 - 1. Calculate p*r(q) - 6*l(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227949 is divided by 76739.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (201\/(-1474))\/(-3*2\/(-128)*-4)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and -94.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 1 + 4 + 2*b**2 to l*b**2 + s*b + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35926300)\/6*(-9)\/(-6)*-1. Suppose -36918425 = 3*m + v. Round m to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*y - 1 + 11 = 0, 3*y - 12 = 0. Let x(j) be the second derivative of -1\/4*j**3 - 1\/2*j**t + 0 - 1\/24*j**4 - 4*j. Factor x(l).\nAnswer: -(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-84) - (-4)\/(-14). Suppose -6*x + 2*z + 2 = -5*x, 5*x = -3*z + 23. What is the third smallest value in r, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 212, 466, 822, 1280, 1840, 2502?\n\"Answer: 51*s**2 - s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-275)\/22)\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k**(-2))\/(k**(-3)\/(k\/(k\/(k*k**(1\/2)*k)*k*k*k)))*k**5*k**5*k**0\/k*k*(k**7\/k)\/k*k assuming k is positive.\nAnswer: k**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/11 (b) 1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let f = 15 + -5. Let a(d) = -d + 0*d + f - 12 + d**2. Determine a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 0*r - 2*r)*(0*r - 2*r + r)*(-2 + 1 - 2) in the form y*r + s + i*r**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/3)\/(30\/(-36)). Factor 20*p**2 - 25*p**3 + 3*p + 9*p**2 + 2*p - 9*p**t.\nAnswer: -5*p*(p - 1)*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2816 divide 1059777837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1767*k. Let v(y) = -145019*y. Determine n(v(z)).\nAnswer: -256248573*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 146, 289, 432?\n\"Answer: 143*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*k - 540 = 0, 4*k - k - 360 = 2*y. Let z be y\/24*(6\/(-2) + 1). Calculate the highest common factor of 795 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-18)*-10 + 2 + -13. Let k(m) = 2*m + 18. Let w be k(-13). Let x = w - -3. Let y(i) = -4*i**2 + 6. Let t(q) = 4*q**2 - 5. Give l*t(a) + x*y(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:27 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 5*r**4 + 5*r**4 + (-2 + r**3 + 2)*(131*r + 44*r - 13*r) + (-3 + 5 + 8)*(2 - 2*r**4 - 2) to c + q*r**2 + o*r**3 + a*r + t*r**4 and give t.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((4482\/4)\/(-3))\/(48\/(-96))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*r - 551, -5*c = -r + 52 + 145. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21533 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 162*w**2 - 294*w - 1195. Let g be t(-4). Are g and 2573 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = r + 42 - 16, -4*r = -4*c - 40. Let u(x) = x + x**2 + 1 + 2*x**2 - 2. Is u(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*b - 4*x, -5*x = 2*b + 40 - 98. Let v(o) = -8*o + 140. Calculate the smallest common multiple of b and v(7).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 32. Let v = 493 - t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -3*i. Let q = -101\/2 + 51. Let p = 1 - 0. Which is the nearest to p? (a) i (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-2*1))\/(-2). Let u be 2*(n - 2)\/(-4). Let t = -1 + 1. Solve 4*w + x - u - 15 = t, w = -3*x - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3074750*q - 1537391*q - 1537360*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n - 4. Determine s(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o = 22 + 103 - 8. Let c(y) = -44*y + 133. Calculate c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185\/(-10) + 4 - (-756)\/168\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159927 + -4?\nAnswer: -4.159927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 36. Calculate n(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22897299*z + 47819790?\nAnswer: 22897299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/3*4977\/2765.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x + 7. Let o(q) = -4*q - 6. Let k(s) = -6*o(s) - 5*u(s). Let n(y) = 106*y + 5827. Let j be n(-55). What is k(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 b when three letters picked without replacement from {k: 1, w: 1, e: 1, b: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23071\/32027 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/147929 or -1?\nAnswer: 10\/147929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 + 7*o**2 + 1049*o. Let a(t) = -t + 13. What is -5*a(n) + 6*d(n)?\nAnswer: -n + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00416 to four dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h**4 - h**3 - 7*h**3 - 14*h**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430 - -551. What is the greatest common divisor of 1089 and h?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.1433 to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {i: 1, h: 5, l: 8, v: 2, b: 2}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 635 = -c - x, -2*x = 4. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from ozeoomommnzo?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 - 0.13. Let j = 0.5 + t. Let k = 71 - 68. Sort k, -4, j, -1.\nAnswer: -4, -1, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17461*r + 349237. Determine m(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, -3, -271, 84, 1 in descending order.\nAnswer: 84, 3, 1, -1, -3, -5, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**2 + 5*l**2 + 3*l**2 + 0*l + 0*l - 2*l**2 + (0*l - 3*l + l)*(-3*l + 4*l - 3*l) + 2*l**2 - 2*l**2 - l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 20*y - 8 = -4*w, 4*w = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 + 1 - (22 - 10)) + 16 + -34.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*h + 3*h = -5, 3*g = 4*h + 2. Suppose -g*n = 3*n - 335. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221996 by 5842.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 122040334010?\nAnswer: 122040334014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -96. What is the units digit of r\/((-72)\/76)*-16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 1:01 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*n + 223*n - 80 = 0. Let q be (-27)\/18*n\/(-3) + -5. Sort q, -4, -44, -2 in ascending order.\nAnswer: -44, -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**3\/3 + 3*h**2\/2 - h. Let o = 7 + -2. Suppose 2*q + o - 1 = 0. Determine f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 352 - 356. Which is the biggest value? (a) d (b) -14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -20 - (32 + -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 1. Let h be j(2). Let o be h*12\/(-9) + -1. Does 16 divide -19*(o - -2)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*i**3 + 78*i**3 + 2*i + 19*i**3 - 117*i**3 + i**2 + 3 as f*i**2 + s + u*i**3 + r*i and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 2\/3 (c) -228\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183355.61*-2.\nAnswer: 366711.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/5863?\nAnswer: -3\/5863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 499 + -482. What is the remainder when 150 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 12318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5743638.1757 - 5743392. Let w = o - 217.17544. Let r = 29 - w. Round r to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -587 + 11737\/20. Which is bigger: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9794 - 1?\nAnswer: 9793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -45?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v + 852 - 832 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2. Let p(s) = 2*s - 4*s - 13*s - s + 20*s - 18. Calculate p(a(t)).\nAnswer: -16*t**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 + 1. Let r(a) = a**2 - a + 1. Let f(q) = -5*q**3 - q**2 + 3*q - 5. Let x(o) = 2*f(o) + 6*r(o). Calculate x(t) + 4*z(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 706*c**2 - 18*c + 1. Let a(d) = -704*d**2 + 23*d - 1. Give 4*a(b) + 5*z(b).\nAnswer: 714*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 1\/2*r**2 - r - 2. Let h be (3 - 2) + 0 + -5. Determine b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-10))**(2\/39) assuming v is positive.\nAnswer: v**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 15*n - 244. Let u be s(27). Let m = -30 - -78. What is the greatest common factor of u and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/548 and 3\/1984?\nAnswer: 271808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - -2311\nAnswer: 2311.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**6)*d*d\/d**(1\/2)*(d**(-1\/3)\/d*d)**1*((d*((d\/(d*d**1\/d))\/d)\/d*d)**(-30))**(2\/43) assuming d is positive.\nAnswer: d**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/12 - -6) + -6)\/2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180318171?\nAnswer: 3, 11, 5464187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t - 4. Let g = -23 - -29. Let o(n) = -3 + 3 - 3. Let b(y) = g*o(y) - 3*s(y). What is the derivative of b(k) wrt k?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/15647509 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 368162109209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.55606 litres to millilitres.\nAnswer: 12556.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 2789, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4158*g**2*l**2 + 749*g**2 - g*l - 82706579*l**2 wrt g?\nAnswer: -8316*g*l**2 + 1498*g - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -20\/3*t**3 + 1\/2*t**4 - 32*t + 68\/3*t**2 + 115 + 1\/15*t**5. Solve u(q) = 0 for q.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -8*b**3\/3 + 6518*b**2\/3 - 151340*b\/3 + 276850 = 0.\nAnswer: 35\/4, 15, 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 - -276. Is c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*x + 444 - 438, 3*x - 5*j - 59 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -474 - 25*k**3 + 234 - 53*k - 24*k + 21*k**3 + 241 to the form o*k**3 + v + l*k**2 + b*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6314 and 50512?\nAnswer: 50512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*s - 5150 - 1137 = 69*s + 1329 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 687223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 228. Let t = 13 + -11. Which is the closest to 7? (a) x (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-5*9\/(-225)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3255910379?\nAnswer: 3255910379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/11, 5, 0.5, 1\/3, 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-3)*g)\/(g*g\/g**(1\/5)*g*g*g))**4*((g\/((g*g**(-4)*g*g)\/g)*g)**(-35))**(2\/15) assuming g is positive.\nAnswer: g**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1\/4, 2, -20, 608, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 638 divided by -8\nAnswer: -319\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 322*m**2 + 3. Let h(p) = -162*p**2 - 1. Calculate -15*h(t) - 6*n(t).\nAnswer: 498*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 7 - 14*t**2 - 41*t + 8*t**2 + 36*t. What is p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(21\/(-28))*((-42)\/(-112))\/((-6)\/(-92)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13106 - 262099\/20. What is the common denominator of -29\/500 and z?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:17 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/15 - 5492*i**2\/15 - 49282*i\/15 - 43792\/15 = 0.\nAnswer: -2737, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10919 rounded to three decimal places?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4324211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -1705*i + 1701*i. What is the remainder when 901 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 1365*m**2 - 164374*m + 3901920.\nAnswer: (m - 80)*(m - 33)*(m + 1478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 - 19*p. Let o(v) = -30*v**2 - 115*v. Let r = -13 + 9. Let s(b) = r*o(b) + 25*k(b). Find n such that s(n) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2300302708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**5 + 2*z. Let r(y) = 180*y**5 + 44*y. Let a = -412 + 413. Let q(p) = a*r(p) + 6*w(p). What is the second derivative of q(n) wrt n?\nAnswer: 3720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -4*(-21)\/(-18))*-3. Let l = x + 27. Let a(g) = 4*g**3 + 9*g**2 + 9*g + 9. Let n(o) = -2*o**3 - 4*o**2 - 4*o - 4. Determine l*a(z) + 9*n(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125\/60 + (-15)\/180. Suppose 0 = -n + 2*y + q, 4*n - 10 = 2*n + 2*y. Solve -n = -j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 11*m + 22. Let h be l(-9). Suppose -5*n - 6*k = -h*k - 8, 5*k = n - 7. Solve -4 + n = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2277 and 1656.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7451*-10.\nAnswer: -17.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -4*l - 4*r - 78, 18 = -3*l + 3*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 582169*r**4 + 1764819*r**3 + 55080*r**2 + 432*r.\nAnswer: r*(r + 3)*(763*r + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-14))\/((-384)\/1568). Let z = 1\/2 - 1\/18. Sort -3, z, i, 3\/7 in ascending order.\nAnswer: -3, 3\/7, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422581 to the power of 1\/2, to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4340*r**2 + 155*r - 155. Let y(t) = 167*t**2 + 6*t - 6. Calculate 6*w(u) - 155*y(u).\nAnswer: 155*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 213.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20772 divided by -1154.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*j**3 - 54 - 48\/5*j**2 - 219\/5*j.\nAnswer: -3*(j + 2)*(j + 5)*(j + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03147 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:52 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -29*b - 22 - 32*b + 58*b. Let q be i(-8). Suppose 4*t = 4 - 0. Put q, -5, t in decreasing order.\nAnswer: q, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -79. List the prime factors of 1\/((-170)\/35 + z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -6, 3, 14, 27?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t\/t**23))\/t*t*t)\/(t\/(t\/(t*t\/t**(-21)))))\/((t*t**19*t*t*t)\/((t*t**(1\/9))\/t*t)) assuming t is positive.\nAnswer: t**(-197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -398, -377, -408, -527?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.695816405 + 0.6958. What is i rounded to seven dps?\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 3:55 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 2 + 12*k**2 - 8*k + 8*k in the form f*k + j*k**2 + p and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -20*d + 14*d. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65759258*k**2 + 47536819*k?\nAnswer: -131518516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210696 divided by 1069.\nAnswer: 210696\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-1))\/4 - 3013\/276 and 20\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1341169 + 16?\nAnswer: 1341185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5\/18)\/(370\/(-296)) - 3890\/(-90)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 31*q - 10. Calculate h(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 48319866.\nAnswer: 5\/48319866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -2, -5, -6, -5, -2, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6 + 6. Solve -g + 1 = -o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 1. Let t be p(-1). Suppose t = -w - 1, 5*w - 3*w + 38 = 4*g. Let m be (-6)\/27 + 1300\/18. What is the highest common factor of m and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915914 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = g - 2518, -5*m = -1 - 24. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 9:37 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**4 + 312951*m**3 + m**2 + 86*m - 1931 wrt m.\nAnswer: -24*m**2 + 1877706*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 173714 = 8*g + 173687, 0 = 3*k - 5*g + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 425*u**5 - u**3 + 502*u**2 - u - 5?\nAnswer: 240*u**3 - 25500*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qijqwiixqiiq. What is prob of picking 3 q and 1 i?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d - 34*d + 13750. What is the highest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 188*i - 39. List the prime factors of o(3).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 11*i + 24. Give t(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210847*n**3 - 421672*n**3 + 210814*n**3.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -28148.\nAnswer: -11259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3 + 1587828*f**2 + 47636190*f + 357274800 = 0.\nAnswer: -15, 793944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(13) + sqrt(26)\/sqrt(2)) + ((sqrt(117)\/sqrt(3))\/sqrt(3))**2.\nAnswer: 2*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 85*z - 83*z - 5465, 27277 = 5*r - 2*z. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 23 = 2*r, r = 4*r + 4*d - 22. Solve -b = 3*q - 0*b - r, -5*b = -10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2 (c) -4 (d) 5 (e) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + a**2 - a**2)*(-4 + 4 + 4*a + (1 - 5 + 5)*(-2*a + a - a)).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*g + 7924, 3*p + 0*g - 3*g = 5973. List the prime factors of p.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2\/7 + 52*m\/7 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 43 + 37. Let u = 60 - 46. Let a = s - u. Solve -a = -v - v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 42*t**3 + t**2 + t. Let r(z) = -84*z**3 - 2*z**2 - 2*z. Let j(b) = -5*c(b) - 2*r(b). Let m be -20 - ((-315)\/15 - -2). Give j(m).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/2 of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13*g = 11*g - 8, -4*z - 4*g - 16 = 0. Suppose v + 0*f - 391 = -4*f, 4*v - 2*f - 1474 = z. What is the remainder when v is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1532996 - 0.0317\nAnswer: -0.1849996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/240 and -111\/2680?\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.23 and 23.\nAnswer: 28.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18364 is divided by 351?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 290051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 3}. What is prob of sequence mmy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven tenths of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((6\/((-72)\/(-3)))\/(16\/(-64)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llq when three letters picked without replacement from {q: 12, l: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18070 (base 14) to base 11.\nAnswer: 4147a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13132\/(-48) - 1)*(-4 - 55\/(-22)). Which is greater: 411 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309 + 304. Let u = -347\/570 - -1\/114. What is the second biggest value in f, 1.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*g - 70*g - 36*g)*(5 - 1 + 1).\nAnswer: -550*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - -0.5. Suppose 3*q + 3 = -0. Which is the smallest value? (a) 4 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 4\/7*i**2 + 14*i - i**4 + 43\/35*i**5 - 2\/5*i**6 - 2\/7*i**3 + 0. Let t(j) = 0. What is j?\nAnswer: -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-12 + (15 - (14 - 2))) - 46?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16333000 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455 + 12 = -59*s + 29 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -3 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8749375t?\nAnswer: 874.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 816*s**3 + 1755*s**2 + 176884*s - 8.\nAnswer: 4896*s + 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 + 81 - 260)*(g - g + g) in the form z + k*g and give k.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/44956654318 + -17490408840743081\/88924262241004. Let s = c + 4532\/23. What is the common denominator of -69\/16 and s?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*38.74\nAnswer: 38.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.29, 0, 85, 0.3?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 719 divide 1458851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 9*x**2 - 6*x - 7. Let p be f(8). Suppose p = n + 5. Suppose n*b - 51 = b. What is the highest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22719816871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c + c + (-c + 2 - 2)*(5 - 3 + 0) + 21*c - 62 + 62 - 6*c - 16*c + 10*c)*(5 - 1 + 2).\nAnswer: 72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -38. Suppose -n*z + 175 = 43. Solve -6*a = -3*a - z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*m, 2*p + 11684617 = 10*m - 36963243. Round p to the nearest 100000.\nAnswer: -24300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(156)*-1*-6)\/sqrt(12).\nAnswer: 5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/20)\/(11\/44). Which is the nearest to -0.1? (a) -2 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 1 - 2)*(-25 + 25 + 15*i).\nAnswer: -15*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90985908 and 988?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/((-16770)\/(-30))*(-2)\/5.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*p - 17 + 4 = 0, -p = -3*l + 5. Let c(z) = 14*z + 18. Let h be c(12). What is the smallest common multiple of l and h*((-10)\/(-3) + (-15)\/5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3968, -3973, -3982, -3995, -4012?\n\"Answer: -2*l**2 + l - 3967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2533*h**2 + 8812.\nAnswer: 5066*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by 8.\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 188, 2\/435, 0.3, -1\/4 in descending order.\nAnswer: 188, 1\/3, 0.3, 2\/435, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 13*g + 45. Suppose -o - 3*u = -u + 3, -5*u = -g*o + 15. What is the closest to -1 in -1\/6, -0.2, -0.001, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 5*a**2 - 5*a**3)*(-422 + 418 - 465 - 902 - 1814).\nAnswer: 15925*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -0.1 (c) 0 (d) -0.0503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 11488023\nAnswer: -11488043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.51511 decades in centuries?\nAnswer: 0.651511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58.7 + 6.3. Let y = -67 + q. What is the biggest value in y, -2\/15, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907245373 to the power of 1\/2, to the nearest integer?\nAnswer: 30121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7929722g?\nAnswer: 0.0007929722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 + 21*m\/2 - 12.\nAnswer: 3*(m - 1)*(m + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157*s**4 + 106*s**2 wrt s.\nAnswer: 3768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959760635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0.1, 126?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -5, 3\/2, -0.28, 111, 17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 673 = 86*w - 245 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-15 - -13) + (-2 - (6 - 7)) + 84.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (-1*((sqrt(114) + sqrt(114) + sqrt(114)*-4 - sqrt(114)) + sqrt(114))*6)\/(sqrt(486)*-6*-4)).\nAnswer: -16 - 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -541031 (base 9) to base 7\nAnswer: -2511331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s - 2\/7*s**3 + 0*s**4 + 0*s**2 + 2\/7*s**5 + 0.\nAnswer: 2*s**3*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 k, and 1 m when four letters picked without replacement from {k: 1, l: 2, m: 1, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.3, 89, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 607.7329ml?\nAnswer: 0.6077329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.051+-3236609\nAnswer: -3236609.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*a + 3 = 100*a. Let i be (-73)\/8 + a\/(-8). What is the third biggest value in 3, i, 1\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2045, 7724, 17055, 30050, 46721?\n\"Answer: 2*z**3 + 1814*z**2 + 223*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -16433*h - 149289. Give t(-9).\nAnswer: -1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/7 + i**4 - 3*i**3\/7 - 23*i**2\/7 + 32*i\/7 - 12\/7.\nAnswer: -(i - 6)*(i - 1)**3*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5062 - 5039. Solve -3*q = -z + 5 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-1)*(-18)\/(-8). Let y(q) = -q**3 + q + 1. Let t(s) = -3*s**3 + 9*s**2 + 2*s - 11. Let m(r) = -t(r) + 2*y(r). What is the tens digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 + 5*s + 1817*s**2 + 14*s**3 - 1814*s**2 - 2*s. Let p(u) = -671*u**3 - 143*u**2 - 143*u - 143. Calculate 286*n(f) + 6*p(f).\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 272? (a) 3\/4 (b) -3\/2 (c) 12 (d) -5 (e) 8\/5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-88)\/(-1265))\/((-4)\/(-30)). Let n = -106\/115 + o. Which is the closest to 2\/3? (a) 2\/5 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((1 - 12) + 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -2 - (-195)\/(-5). Let z be (w\/7)\/(9\/(-6)). Suppose -z*g = 2*p - 280, 3*g = 4*p + g - 530. List the prime factors of p.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7.3. Let l = -5.9 + 0.9. Let b = -11048 + 11052. What is the biggest value in b, h, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-435)\/(-10)*(1 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3)*h)\/(h*h\/h**0))**(10\/9)\/((h*h\/(h**(-2\/9)*h))**(-3\/2)\/((h**(-1)*h)\/(h*h*h**(6\/11)*h*h))) assuming h is positive.\nAnswer: h**(-133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73471 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4\/11, 2, -12\/7, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579970333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*j**3 - 5*j**2 + 1829?\nAnswer: 333*j**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*i - 5*f, 4*i + 3*f = -0*f + 77. Let n = 19 - i. Let c(z) = 2 - n*z - 5 - 5 + 5. Calculate c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 11, -577?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 10*a**2 - 10. Let f(t) = t**3 - 7*t**2 + 7. Suppose 3*g - 16 = 2. Let u = g + -4. Let y be (-74)\/14 + u\/7. Give y*p(s) - 7*f(s).\nAnswer: -2*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + o + 7. Let t(v) = -6*v - 7. Let b be t(-2). Let p be j(b). What is the greatest common factor of p and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*v - v - 3*v)*(-1 + 3 - 3) as a + g*v and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0 - 6) + -1 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33 (b) 0.19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*d**4 + 8*d**2 - 2308*d?\nAnswer: -228*d**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1eb949 (base 15) in base 4?\nAnswer: 11300000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j + 139. Let i be f(-19). Let s be 20\/i*(-72)\/(-30). Solve -s + 4 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w**2. Let g(r) = -1813933*r. Determine g(o(b)).\nAnswer: 23581129*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2, -5, -3, -613.\nAnswer: -613, -5, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 1839 (c) 3313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmbmbbmmb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 54*n - 32. Suppose -m - 5 = 0, -4*m + 3*m - 9 = -2*v. Suppose 0 = 2*x - f - 8, -6 = -x - x + v*f. What is the hundreds digit of r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*z + 8 = 3*y, 3*y = -2*z + 6. Let f be y + 2 + 1 + -3. Suppose -397 = -f*x + 129. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/177, 651, 1\/4?\nAnswer: 651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12022 is divided by 167.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 - -110?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(1 + 1 + 2). Suppose k*j - 47 = 289. Calculate the remainder when j is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 19*i**4\/4 + i**2 - i + 129. Let x be b(1). Solve -h - x = -6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013 - 302322223?\nAnswer: -302332302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/60 + z**4\/24 + z**3\/3 + 6*z**2. Calculate t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggeeegggxggegexgge.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5.42, -20, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7471327.\nAnswer: 599, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 9226225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 4799 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/1*1\/(-2). Let o(u) = -3 + 4*u**l + 4 - 3*u**3 - 5*u + 3*u + u**2. Let j = -186 + 184. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88923 - 2?\nAnswer: -88925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 36*h - 201. What is c(-41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54335233 to the power of 1\/2, to the nearest integer?\nAnswer: 7371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 57 + 81 = -5*r, -5*k + 20 = -5*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 150.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:00 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (1*6)\/((-27)\/(-18)). Suppose m - 5*b + 2*b = 4, 4*b - p = 5*m. Suppose 0 = -2*c - 3*n + 4 + 7, 13 = c + 4*n. Put m, c, -1 in ascending order.\nAnswer: m, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*j - 9 = -0*s, -5*j + 21 = s. Let h = 4.511 + -0.511. Which is the third biggest value? (a) h (b) 0 (c) s (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, 82 in descending order.\nAnswer: 82, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -b + g, -b + 18*g + 29 = 23*g. Solve -5*y + 19 = -2*s, -y + 31 = 3*s + b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46204930389.4+18\nAnswer: -46204930371.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c0075c - 2?\nAnswer: 2c0075a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c. Let p(w) = 6*w - 4. Let m(n) = 5*n - 5. Let j(a) = -4*m(a) + 5*p(a). Let t(f) = -5*f. Let u(y) = 3*j(y) + 7*t(y). Determine -3*u(r) - 7*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 1, t: 5, z: 1}. What is prob of picking 1 b, 1 t, and 1 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4349, 8696, 13043, 17390, 21737, 26084?\nAnswer: 30431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -208.9 - -392.3. Let r = h - 221. Let i = 38 + r. Which is the third smallest value? (a) -1\/4 (b) i (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(1 - 0\/(-2)). Let n = -4.1 - -4. What is the second biggest value in 4, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*j + 3*o + 4 = 483*j, o + 3 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 22*j + 15*j + 3 - 8*j**2 + 2. Let h be v(-7). Solve 0*o - 5*o + h = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3\/3 - 384. Let v(l) = -3*l**2 - 92. Give v(n(i)).\nAnswer: -3*i**4 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h**3 + 2*h**3 - 14*h**3 + (-2*h - 1 + 1)*(4*h**2 - 9*h**2 + 7*h**2) to the form z*h**2 + l*h**3 + g + j*h and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10*u + 12*u - 4, 0 = 5*w + 2*u - 25. Solve -3*b = -0*b - 12, b = -w*z - 17 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 10*b - b)*(-4*b**2 + 8*b**4 - 15*b**4 - 4*b**3 + 9*b**4).\nAnswer: 14*b**5 - 28*b**4 - 28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1003 and 11477329?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-8*(-4)\/128.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474244905 a multiple of 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2101087, -4202172, -6303259, -8404348, -10505439, -12606532?\n\"Answer: -v**2 - 2101082*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 322598*a**3*q**2 + 2958544*a**3*q + 4*a*q - 137*q**3 - 7 wrt q.\nAnswer: 645196*a**3 - 822*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a. Let l(b) = -13*b. Determine v(l(g)).\nAnswer: -117*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 5663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -770, -1348, -1852, -2270, -2590, -2800, -2888?\n\"Answer: 2*k**3 + 25*k**2 - 667*k - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/5 - 56*q**2\/5 + 272*q\/5 - 288\/5.\nAnswer: -4*(q - 2)**2*(q + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 73. Sort -4, t, 3 in descending order.\nAnswer: t, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.85 - -1.7632. Let p = h - -0.062. What is p rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -7)\/(20\/50). Suppose 4*a - 195 = -z*m - a, 0 = -3*m - 5*a + 115. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 370 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 7623746?\nAnswer: -762374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-39.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o. Let a(x) = -2*x**2 + 3*x + 3. Determine a(s(r)).\nAnswer: -200*r**2 + 30*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 105. Let r = -37 + v. Let z = r + -5.2. Which is the closest to 2? (a) 0.2 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**3 + 2*v + 1. Suppose 3*o - 3*t + 1 = -2, 0 = 4*t - 12. Suppose -3*m - 15 = 0, 0 = -g - 0*m - o*m - 11. Calculate b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -86. Suppose p + 0*v = 2*v, -5*p = 3*v + z. Let c be 0 - (p - 5)\/3. Solve 7*l - 2*l = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.01 + -0.01. Let o = -3 - -2. Let k(x) = 4*x**2 + 176*x - 9. Let m be k(-44). Which is the nearest to o? (a) -3 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 243*q**3 + 6480*q**2 - 57024*q.\nAnswer: 3*q*(q - 33)*(q - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 92, 0.1, 0.22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 20*y - 3535. Let h = 912 + y. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngs when three letters picked without replacement from {i: 1, n: 2, m: 3, y: 6, s: 3, g: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: ((-9728)\/(-288) + -36)\/((-2)\/(-9))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 13) to base 11.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.87 + -4.83. Let w = y - -3.53. Let l = w - -0.71. What is l rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 26*w**2 - 89*w + 25. Determine k(-22).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -106. What is the remainder when (0 + l)\/(3 + -2) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 3 + (-12)\/((-72)\/118878). Are 0 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2087799 by -3.\nAnswer: 695933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2852?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -679393675401 less than 13?\nAnswer: 679393675414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13572 is divided by 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(2662)*-1 + (sqrt(2662) - -5*(sqrt(2662)*2 + sqrt(2662))))\/((2*sqrt(11) - sqrt(11))*-3 + ((sqrt(110)\/sqrt(10) - sqrt(11)) + sqrt(11))*-5).\nAnswer: -121*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 18073 = 2*b + 18042, 0 = -4*v - 4*b + 56 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -688, -3, 0.12, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 9*l**2 + 10*l - 2. Let o be v(-10). Let r be 3\/o - 18\/(-4). Factor 3*y - 6*y - 2*y**3 - r*y**5 + 8*y**3.\nAnswer: -3*y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25030 (base 8) in base 10?\nAnswer: 10776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 900*w**2 + 2236*w + 872 = 0?\nAnswer: -2, -109\/225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1995 - -1992. Let l(p) = -2*p + 3. Give l(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 40. Let d(z) = -4*z - 79. Let b = -10802 + 10807. What is b*p(i) - 3*d(i)?\nAnswer: 2*i + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -14. Let t be 758 + 3\/(w\/6). Suppose -4663 = -11*u + t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/5 - 144*k**4\/5 + 1242*k**3\/5 + 11676*k**2\/5 + 3807*k + 8748\/5 = 0 for k.\nAnswer: -4, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -275, -185 in decreasing order.\nAnswer: 32, -185, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 4*k**2 + 16*k + 48. What are the prime factors of w(-10)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171163839 + -0.211?\nAnswer: 171163838.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*s - 5*f - 20, -s = 5*f + 19. Let j be s\/(-34) - (-12)\/(-102). Suppose -6*a + 13*a - 21 = j. Solve 0 = -4*g + 3*d - 29, -6 = 2*g + g + a*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o**3 - 196*o**2 - 18*o = 0. What is o?\nAnswer: -1\/11, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60602 + -19592. List the prime factors of w.\nAnswer: 2, 3, 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572062394.\nAnswer: 2, 23, 83, 269, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -172109*i**2 + i + 2. Let m(l) = 3*l**2. Determine z(m(a)).\nAnswer: -1548981*a**4 + 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Let s be ((-2)\/8)\/(67\/(-536)). Solve -u = -0*u - s*b - f, -1 = 5*u - 4*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -28*y**3 - 3*y**2 + 2*y + 3. Calculate a(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 + 2*h + 403. List the prime factors of q(0).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 - 87. Suppose h = -2*l - 51. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11632.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/4 + 12669579*u**2\/2 - 50678313*u\/4 + 6334789 = 0. What is u?\nAnswer: 1, 25339156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 98*t**2 - 2*t. Let u(p) = -p. What is u(i(b))?\nAnswer: -98*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2487 - 1808053\/727. Do d and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42230 and -26426.\nAnswer: -1115969980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**2 - 1485*r + 18582. Determine v(-224).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 25*n = -17*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510519.1 millilitres to litres.\nAnswer: 510.5191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 5*v - 5*h, -h = 4*v + h + 118. Let j = 28 + v. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22233021 (base 4) to base 7\nAnswer: -242133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.64 + -1.01. Let h = -18.93 + d. What is h rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -62.01. Let y = 61.998 - m. Let d = -0.402 - y. Sort -4, -2, d.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4894017, 9788030, 14682043, 19576056?\n\"Answer: 4894013*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 940968 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -9 - (4 + -23 + -6 + 8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 6*i. Let j be p(-6). Suppose 0 = -j*y + 3*y - 36. Calculate the highest common divisor of 60 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2359616 divided by 2359616.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d**3*s**3 + 9*d**3*s**2 - 2*d**2*s**2 + 2*s**5 wrt s?\nAnswer: 114*d**3 + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3\/2, 0, -2198\/5, 0.2 in increasing order.\nAnswer: -2198\/5, -3\/2, 0, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5464 - 4*w + 5459 - 16384 + 6*w + 5461 - 5*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -25. Does 7 divide 2*(-4)\/(i\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 - 1304*l\/3 - 7832\/9.\nAnswer: 2*(l - 1958)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1336241*z - 8017454. Give g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -5)*25\/(-10). Sort -4, 5, h in descending order.\nAnswer: h, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8663.99 centimeters in nanometers?\nAnswer: 86639900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212111 + -2?\nAnswer: 212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 4*v - v**2 + (-2 + 3*v + 2)*(5*v - 4*v + 3*v) to the form x*v + z*v**2 + l and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*b - 124*b. Suppose 0 = 3*v - 4*y + 6*y + 37, b = 5*v + 4*y + 65. Is v at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -78*g - 78. Let q(i) = i**2 + 236*i + 235. Let k(o) = 8*d(o) + 3*q(o). Factor k(r).\nAnswer: 3*(r + 1)*(r + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 21. Let l = z + 187. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 t when three letters picked without replacement from {s: 1, v: 3, t: 4, f: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 114*f**2 + 7658*f + 123932. Give h(-40).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91859*p**5 + 180*p**3 + 10382684*p**2 wrt p.\nAnswer: -5511540*p**2 + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2 + 16*m + 44 + 32. Suppose 7*n = 4*n + 18. Calculate the least common multiple of u(7) and n.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -2\/5297?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4425139878 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - x = 7, 5*m - 14*x = -12*x + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 - 3*h + 1. Suppose -66*o + 64*o = -6. Suppose -3*l = 2*b - 76, -l + o*l + 2*b = 54. Calculate the remainder when d(3) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 2*h - 2. Let b(x) = 2*x**2 - 6*x + 4. Let a(u) = -2*b(u) - 5*g(u). Calculate a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 - 13*w**2 - 20*w + 32. Let y be m(6). Let l = -441 + y. Calculate the remainder when l is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -39 in decreasing order.\nAnswer: 4, 3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 4*n + 3*n + 0*n**2 + 6*n**3 as z*n + m*n**3 + u + d*n**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-4950)*-55)\/((-92)\/(-18))\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) - 494\/(-684). Sort 5, u, 65, -4 in ascending order.\nAnswer: -4, u, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/7, -0.1, -0.076, 0.3 in decreasing order.\nAnswer: 0.3, -0.076, -0.1, -11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 417?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 5, 183, 8 in ascending order.\nAnswer: -26, 5, 8, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 335?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82715193*k*y + 1006*y - 11594 with respect to k.\nAnswer: 82715193*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 22*x - 45. Does 33 divide k(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 34 = 8*f. Sort f, -2\/7, 3 in ascending order.\nAnswer: -2\/7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1373, -2013, -3091, -4607?\n\"Answer: -219*k**2 + 17*k - 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -10 + 2. Calculate the lowest common multiple of m and (-9)\/(-15) - 4\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in 0.3, -1, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51*(-78)\/7956)\/(2 - 15)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -751. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44485321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfi when three letters picked without replacement from viivvpvfiv.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(119) + (2*sqrt(119) - sqrt(119))*5 + sqrt(119))\/(sqrt(567) + 1*2*sqrt(567)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 16 = 5*z + 3, -14 = -2*z + q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14887700 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - z - 4 + 0*z + 3*z. What is the units digit of p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8571, -69858, -236255, -560316, -1094595?\n\"Answer: -8759*u**3 - u**2 + 29*u + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*j**3 + 129954 + j - 64977 - 64979 in the form i*j**3 + k + a*j**2 + l*j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17187, -4, 4 in descending order.\nAnswer: 17187, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130695, -258735, -386775, -514815, -642855?\n\"Answer: -128040*k - 2655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g**2 - 245*g**2 + 159*g**2 - 35*g**2 - 490*g**2 - 882*g**2.\nAnswer: -1424*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2884, 10013, 21394, 37027, 56912?\n\"Answer: 2126*w**2 + 751*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j - 18*j - 31*j.\nAnswer: -108*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33929)\/(-131)*(-1)\/7?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(78) - sqrt(78)*-2))\/sqrt(6) - (sqrt(52)*-1 - (sqrt(39)\/sqrt(3) + -4)).\nAnswer: -4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 66*l**2 + l. Give r(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + j + j)*(0 - 2*j + 0)*(2*j + 4*j - 2*j).\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42964639 a multiple of 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 50 = -5*m + 79, -q = -2*m + 5 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16822 and 0.3.\nAnswer: -5046.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 746 - 313. List the prime factors of t.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/1951 - 362797\/234120. Calculate the common denominator of c and -86\/21.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/20 greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*12\/(-72)*2\/((-6)\/(-9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 325 - -6302?\nAnswer: 6630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**3*c)\/c)**30*c**(4\/9)\/c**(7\/6) assuming c is positive.\nAnswer: c**(-553\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2352\/40 - 59)*-2*2\/(-100)\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 2. Let j be s(-4). Is 2 a factor of (-1)\/(-1) + j + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b79c + 1634?\nAnswer: -a168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 2*f - 2. Let x be g(-2). Let i be (-4)\/6*(-12)\/(-2). Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 4*q + 2. Let u be 25\/(-5) + (-4)\/(-4). Calculate w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 3*f**2 + 2*f. Let d be k(-2). Suppose d*t + 4*t = 24. Let g = -4 + t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:48 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 3. Let v be j(3). Suppose o = -4*o + 5. Let f be 2 + (o - (0 - v)). Solve r - f*r + 1 = -x, 3*x = 3*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -87, -232, -507, -954?\n\"Answer: -7*m**3 - 2*m**2 - 2*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*j - 6*j - 182 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -203642 and 6.1.\nAnswer: -203635.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44191a5 - 2?\nAnswer: -44191a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**6\/360 - s**5\/30 + s**4\/24 - 7*s**3\/3 + 3. Let t(o) be the third derivative of r(o). Let a be (-3 - 2)*4\/5. What is t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -35*d**2. Let p(h) be the first derivative of -h**4\/12 - 4*h - 15. Let y(m) be the first derivative of p(m). Determine y(x(n)).\nAnswer: -1225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:04 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14450624, -14450643, -14450662, -14450681, -14450700?\nAnswer: -14450719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380779 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*d + 24, 4*d + 77 = -3928*f + 3933*f. Factor 85\/8*q**d - 1 - 7\/4*q - 63\/8*q**3.\nAnswer: -(q - 1)*(7*q - 4)*(9*q + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16860962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -3. Suppose c*z - 34 = 2*s + 2*z, -s + 4*z = 23. Let r be (-1)\/(4 - (-13)\/(-3)). Sort 0, s, r in increasing order.\nAnswer: s, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (38\/4)\/((-2)\/(-12)). Suppose -5*c + 25 = -i, 4*i + 36 = 6*c - 2*c. Suppose c*n - 35 = b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114302819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -27493210.\nAnswer: -27493209.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*s - 52*s - 8255. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 + 71*c**3 + 348*c - 157*c**3 + 42 - 170*c**3 + 320*c**2.\nAnswer: -4*(c - 2)*(8*c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*z**2 + z**2 + 0 + 0 + (-1 - 4 + 4)*(0*z + 2*z**2 + 0*z))*(-21*z**2 - 6 + 6) in the form b*z + j*z**3 + p*z**4 + k*z**2 + q and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = -5*t. Let z be (0 + 1)*(7 + t). Let h = z + 2. Calculate the highest common factor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228543200?\nAnswer: 2, 5, 29, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.89891 - -0.10109. Let b = -3.3 + 3. What is the nearest to -1 in b, -5\/3, l?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -96*a - 368. Give b(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 118 + 6 = 0. Let k = -2 - -37. Suppose 4*f = -f + k. What is the highest common factor of f and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*q - 12, -z + 2*q + 3*q - 20 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/11 in 2, -3, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/24 - 5*w**3\/6 + 32*w**2. Calculate m(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and ((-56)\/4 - -6) + 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23 - -1610?\nAnswer: 1614.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96896359 not equal to 96896357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/15)\/i)\/(i*i*i\/(i*i**(2\/11)*i*i)*i*i)*i*i\/i**(-14)*i*i**(-1\/11) assuming i is positive.\nAnswer: i**(2479\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - f = -142474, w + 2*f - 26554 - 1939 = 0. Calculate the greatest common factor of w and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77607164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from aaatatadttvdd?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21060\/11 - -1917. Suppose 5*v + 225 = -5*r, 0 = -5*v + r - 171 - 54. What is the common denominator of (-2)\/(-4) + 468\/v and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(640\/(-4800))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b. Let s be n(0). Suppose -m = -s*m - 44. What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 11 = 2*q - 16, 0 = 2*q - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*b + 2845 = 8546 + 4261 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y - 2. Let i = -28 + 40. Let d = i - 9. Suppose -12 = 4*q - 3*u - u, 0 = q - d*u + 9. Calculate f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, l: 1}. Give prob of sequence vh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112313*a*x**3 - 13815*x**3 - 37 wrt a.\nAnswer: 112313*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 2*v**2 - v. Let z = -10 - -14. Suppose 4 = z*a - 4. What is the remainder when 10 is divided by g(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4730278, 9460555, 14190818, 18921061, 23651278, 28381463?\nAnswer: 33111610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.01 - -0.01. Let o be (1\/(-2))\/((-1)\/(-44)). Let h = o + 151\/7. What is the nearest to 0 in -5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {v: 2, p: 3, c: 3, l: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 1. Let q(y) = -4*y**2 - 3. What is -3*c(t) - q(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 143 = -b, 4*b + 85 = g - 33. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2161164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -2 (b) 2\/5 (c) 1 (d) -59 (e) 2.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031 (base 7) in base 12?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369 (base 10) to base 14.\nAnswer: 1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5*o - 3 = 0. Solve -2*g - o + 6 = 3*s, g + 9 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79.7 + -79.3. What is the closest to -0.3 in w, -2\/3, -3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 153 = -3*a, u + 0 + 3 = 0. Suppose -4*r = 4*p - 6*p - 102, 3*p - a = -2*r. Let z = r + -35. Put 2, z, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:34 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 3124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 - (-16)\/(-12)*3. Suppose 2*u = 3*h + 1, -2*h = 3*h - w. What is l in -3\/2*l**u + 0 + 3\/2*l**4 + 3*l - 3*l**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/17)*u\/(u*u**1*u))**(8\/7) assuming u is positive.\nAnswer: u**(-16\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 = 11. What is the second derivative of x + 3*x + 2*x + x**r - 3*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 + (5 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.753077l to millilitres.\nAnswer: 1753.077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -9*r + 8. Let y = r - -1. Calculate the remainder when (-12)\/(-2*1\/2) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1679*x**2 + 1679*x**2 - 575*x**4 - 3*x**4 + x**4 - 4*x**4 + (3 + 0 - 1)*(-x**4 - 2*x**4 + 5*x**4).\nAnswer: -577*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.120112cm to nanometers.\nAnswer: 41201120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286971 (base 12) in base 13?\nAnswer: 9b2654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1995 and 119\/6?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-5) + -11)*-6)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78582 = -4*g - 2*k, 0 = 2*g + 3*k + 10078 - 49359. Is 41 a factor of g\/80 + (-8)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0, -0.058, 4\/3, 0.2, -1.98?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l + 195 = y, -5*l - 670 = -3*y. Is y 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 63552412 and 364.\nAnswer: 826181356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v + 58. Let x = 95 + v. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85103*l**3*q**2 + 7*l**3*s + 2*l**3 - 25*l**2*q + 2*q**2*s - q**2 - 92*q*s wrt q.\nAnswer: 170206*l**3 + 4*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 18*o + 23. Let h be x(17). Let d(b) = -b + 4. Let w = 6 + -2. Let k(t) = 5*t - w*t - 3 + 0*t. Determine h*k(z) + 5*d(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1494 - 0.278846.\nAnswer: -0.428246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**5*w)*w)\/w)\/(w**3*w))\/(((w*w\/(w**(3\/8)\/w*w)*w)\/w)\/w**(-4)) assuming w is positive.\nAnswer: w**(-117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 902, -3 in decreasing order.\nAnswer: 902, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhh when three letters picked without replacement from {u: 1, t: 6, c: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 58. Let p be c(-16). Suppose -6*y - 2*w = -7*y + p, -w = -5*y + 30. Suppose 8*s = 7*s - y*s. Let t(v) = v**3 - v**2 - 9. Calculate t(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - o. Let v(p) = p**2 + 10*p + 16. Let h be v(-9). Suppose 30 = -h*s + 12*s. Let z(u) = 5*u**2 - 5*u. What is s*j(n) - z(n)?\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -4)*4\/8. Suppose 5*k - 59 = m*v, 0 = 3*k + 2*v - 39 - 6. Suppose k = 2*u - u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11010 + -1?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-46)*(-249)\/9. Let d = 7\/23 + q. Which is bigger: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30723 and 6082755.\nAnswer: 468372135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030133 (base 5) in base 16?\nAnswer: 4487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2956 - 2892 = 8*p. Calculate the lowest common multiple of 187 and p.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b**2 - b + 13. Let q(c) = -c**2 - 3*c**2 - 3*c**2 + 7. Let n be -2*10\/((-180)\/(-99)). Let u(v) = n*q(v) + 6*a(v). What is u(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915159 = -10*s + 915189 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318402 and 3829203?\nAnswer: 8379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 152*g + 70. Let y(k) = 51*k + 28. Calculate 3*w(v) - 8*y(v).\nAnswer: 48*v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334607 - 167307 - 2*f**2 - 167312 - 20*f.\nAnswer: -2*f**2 - 20*f - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -2*t + 13*y - 50, -5*t = -2*y + 41. Let v(s) = -4*s**2 - 3*s + 19. Let i(m) = 2*m**2 + 2*m - 10. What is t*i(n) - 3*v(n)?\nAnswer: 2*n**2 - n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 9 - 31 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63606612 divided by 8849.\nAnswer: 7188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120099 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*d**3 + 1785 - 5*d - 3575 + 1790 - d**2 as z + g*d**2 + x*d + k*d**3 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 347\/3981?\nAnswer: 347\/3981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 250\/49 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogoeyddgedgd. What is prob of sequence gdgg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69177387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 245*q + 5568. Determine x(-21).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -220*f + 118. Let g(o) = 74*o - 37. What is -13*g(b) - 4*l(b)?\nAnswer: -82*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1) - (-51)\/17. Suppose 5*x + 8 = 4*x + 4*l, 68 = 4*x + s*l. What is the remainder when 47 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-219)\/(-42) + (-8)\/(-28). Is q < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10261 is divided by 2563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2) + 38 + -26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268137 is divided by 38428.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**3 + 26025*m**2 - 104205*m - 130225 = 0.\nAnswer: -5209, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 21*v - 1740. Calculate the highest common factor of v and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12962792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1485 and 3375?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 - ((-1 - 18) + 10). Solve l = 2*s + 4*r, -4*s = -2*s - 5*r + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -86, -254 in descending order.\nAnswer: -3\/5, -86, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217160 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/6 (b) 1\/2 (c) 4 (d) -24.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -14. Let y(i) = i. Let w be y(0). Let f be (-5)\/(-7) - (-8)\/28. Solve 4*n + j*s + 5 = w, -s + f = -0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 2*sqrt(117)*6)*-6)\/((sqrt(144) + (-1*sqrt(144) - sqrt(144)))*3).\nAnswer: 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919 + 1819 = 363243*r - 363274*r - 929 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -3. Let p = f + 19.1. Which is the closest to p? (a) -0.1 (b) 1\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*q**3 - 3*q**2 + 3*q**2 - 1 + 666*q**3 + 1.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13634 + -10333. List the prime factors of a.\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-2)\/(-2))\/(-3 - -1))\/(-2). Let d = 1829 - 1824. Sort 4\/3, j, d in descending order.\nAnswer: d, 4\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.21098 centimeters in meters?\nAnswer: 0.1821098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -u - 154 + 71 + 93, 4*j = 4*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddgdodddgooddd. Give prob of picking 1 d and 1 g.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdddh. What is prob of picking 1 h and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 20681854?\nAnswer: 20681858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2090 + 2089.6. Let v = -8 + 3. What is the nearest to 1 in v, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 3*l - 11. Give q(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 5, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 15. Let q = 38 - 31. Calculate u(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, 477, 1064?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2\/5 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + o - 7 - 4*o. Let l be t(5). Solve 2*r = 3*a - 3, -2 = -4*a + l*r + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 7*w - l - 370 = 0, -5*w + 2*l = -461. Let h = w + 192. List the prime factors of h.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - n + 75 = 0, 97 = 5*z - 0*n - 2*n. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/18 and (-10)\/5 + (3 - (-70)\/124)?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.179 * 9167.\nAnswer: -47475.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 188591448.\nAnswer: 188591449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42161, 42163, 42157, 42137, 42097, 42031, 41933?\nAnswer: 41797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = i - 4*x, 0 = -2*i + x - 9. Calculate the common denominator of (-76)\/(-10)*(i - 141\/(-108)) and -38\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -343 - -876. Suppose 3*h + 572 + 320 = 5*j, -3*j = -4*h - k. Suppose j = 3*l - 4*a, -5*a + 134 = l + 2*l. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 537 + 207 = 0. Let c = 208 + d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-65))\/((-1)\/20*-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25882*h + 20*h**2 - 25882*h.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 + 4*i + 4. Let p(c) be the third derivative of c**5\/60 - c**4\/24 - c**3\/6 - 4*c**2. What is o(h) + 4*p(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 6*x + 3. Let r(b) be the first derivative of 8*b**3\/3 - 28*b**2 - 28*b + 71. Let c(l) = -6*r(l) - 56*t(l). Let g(y) = 15*y. What is c(g(u))?\nAnswer: 1800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281 + 376. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 - 12*y - 3. Determine p(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 221110?\nAnswer: 221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 13*t**4\/8 - 49*t**3\/6 - 2*t**2 - 10. Differentiate d(s) wrt s.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbcbcgcsgcccb. Give prob of picking 1 g, 2 c, and 1 b.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 796\/4 + -4 + 0. Let p = z + 246. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132354.2 and -0.1.\nAnswer: -13235.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccco when four letters picked without replacement from occc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -0.5 (c) 107 (d) -0.108 (e) 2\/9 (f) 4 (g) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 49. Let l be -4 - q - (0 + -4). Solve 7*y = 3*p + 2*y - 5, p - 3 = l*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*j**4 - 2*j**3 + 5219*j**2 + 7471411 with respect to j.\nAnswer: -132*j**3 - 6*j**2 + 10438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-20379)\/(-12))*(14 - 10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-370 + 4*f**2 - 404 + 149*f + 775)*((4 - 1 - 1)*(-3*f + f + f) - 2 - f + 2).\nAnswer: -12*f**3 - 447*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -4*d**3\/3 + 8. Let s(o) = -2*o**2. Calculate s(a(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3100 + 96 = 17*t. Let o = 56 + t. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/(-6) + 15484\/(-294).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7563909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 8\/4)\/((-3)\/(-6)). Suppose 0*i + 156 = 2*i. Suppose n*t = 5*t + i. Calculate the greatest common divisor of t and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*j + 37044 = -416*j - 9*j for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1398602008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18293 equal to -18295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**6 + 5*j**6 + 5*j**2 - 10*j**2 wrt j?\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nifiiinixfvxiiifxi. Give prob of picking 1 x and 2 f.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 35. Calculate o(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -832*f**5*x**3 - 2*f*x**3 - 2*f - 8*x**3 wrt f.\nAnswer: -16640*f**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 130 = -5*o, o + 253 = 4*z - 25. Let q = 5.6 + 70.5. Let a = q - 76. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2032 - 383 = -253*p - 1893 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from qosroorqvppoopvopoo?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(0 - 3\/(-6)). Let d(p) be the second derivative of 0*p**3 + k*p + 0*p**4 - p**2 + 1\/20*p**5 + 0. Differentiate d(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 + 4*o**2 - 3. Let f(s) = -s**2 + 1. Let k(a) = -4*f(a) - u(a). Let g be k(-1). Suppose 0 = g*i - 2 - 4. Solve i*h = 4 - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 4*w = 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195439259 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7331.\nAnswer: 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*l**5 - 310805*l**4 + 4492995*l**3 - 20053440*l**2 + 22896540*l + 15616800 = 0. Calculate l.\nAnswer: -15\/32, 3, 6, 1928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.65 and -1.15.\nAnswer: -14.5475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*c - 594 + 594 + 780*c + c**3 to n + j*c**2 + h*c**3 + f*c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 - j + 10. Let b be g(-6). Let x = -36 - b. Solve -3*v - v = x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**2\/2 - 5*n - 1. Suppose 22 - 22 = -w. What is u(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20\/9 (b) 2\/3 (c) 1\/3 (d) -2\/23 (e) 0.08 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*q = -47*q - 13884. Calculate the greatest common divisor of q and 3198.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41987197, -41987195, -41987189, -41987179, -41987165, -41987147, -41987125?\n\"Answer: 2*o**2 - 4*o - 41987195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r**2 + 9*r + 1. What is the remainder when 133 is divided by u(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d**2 + 16*d - 7. Is v(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 242444591 to the nearest 1000000.\nAnswer: 242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2544 - 2543.7. What is the closest to 3 in t, 5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chch when four letters picked without replacement from {c: 3, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47391042 is divided by 132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20873751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p + 3*p + 17*p)*(-1 + 1 + 6)*(p - 2 + 2).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = -5*i, 0 = -2*m + 3*m - 3. Let a be (-2 + 2 - i) + 4. Let f be a\/10 - (-2)\/(-5). Is f not equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*u + 20, -5*z - u + 0*u - 22 = 0. Let l(t) = -3*t**2 - 2*t + 5. Let n(k) = -7*k**2 - 5*k + 11. What is z*l(a) + 2*n(a)?\nAnswer: a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = z - 1536, -12*z - 7680 = -17*z + 2*r. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, u: 6}. Give prob of picking 2 u and 2 c.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -33. Suppose 0 = 5*b - 5*k - 130, -r*b - 2*b = -k - 130. What are the prime factors of (-39)\/b*(-112)\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziyy. Give prob of sequence yy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -29?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -285297045 divided by 95099015?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3 - 7*w**2\/2 - 174*w - 1. Calculate h(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.58554 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -399 - -378 - (-2 + 110). Is -22 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 2\/3, 0.05, -138040?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(57)\/(sqrt(15)\/sqrt(5))*2)**2 + (3 + 2 + sqrt(76) + 4)**2.\nAnswer: 36*sqrt(19) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1206*j**3 + 308*j**3 + j**2 + 304*j**3 + 299*j**3 + 305*j**3 - 5*j**2.\nAnswer: 10*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 19*h - 5*l + 56, 4*h - 5*l + 112 = 0. Which is smaller: -32 or h?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 20.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -62. Let k = y - 43.9999981. What is k rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (52\/10 + 0)*5. Suppose -3*r - 3*s = -2*s - u, 0 = 2*r + 5*s - 39. Let i = r + 3. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 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: What is the value of (-70)\/91*390\/120?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 89.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**8\/26880 + b**4\/24 - 6*b**2. Let q(i) be the second derivative of d(i). Factor q(s).\nAnswer: s**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-49)\/14. Suppose -k*q = -8*q + 516. Suppose 3*a - 7*a = -5*z - q, 2*a + z - 61 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38a3 + -5?\nAnswer: -38a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-3))\/(48\/(-256)) + -7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, n: 1, e: 2, r: 2, q: 2, t: 1}. Give prob of sequence rntr.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 16 - 16 = 0, 4*g = -3*u + 9*g - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express k - k + 3*k - 16*k**4 - 1 - 5*k in the form n*k**4 + u*k + s*k**2 + l + m*k**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2081 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4578 or 4579?\nAnswer: 4578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {r: 5, q: 1, v: 14}?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1159*o - 1164*o - j - 8, 0 = -5*o + 4*j + 32 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -2 - 1) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.311 - -2.211. Which is the closest to 1? (a) 1\/59 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10322210 (base 6) in base 9?\nAnswer: -516226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3*w + 47421*d**2*w**2 + 422*w**2 + 70 wrt d.\nAnswer: -6*d**2*w + 94842*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n, 3*x - 1083 = n + 356. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -57, -22, 11.\nAnswer: -57, -22, -4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 199772811?\nAnswer: 998864055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*p = 3*p + 276, -p = 0. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j**2 + 0*j**2 + 0*j**2 - j**2 - 3 - 6*j. Give o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + m)*(272 - 2571 - 1280 - 1165)*(2 - 1 - 2).\nAnswer: 4744*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.3. Let j = -4 + 3.7. Let q be 152\/(-56) + (3\/1)\/1. What is the closest to a in j, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 3, o: 12}. What is prob of sequence opoc?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -148, -223, -298?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1719852 divided by -3\nAnswer: -573284","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - r = -57, 2*f + 2*r = -2*r + 104. Let o = 67 - f. Let m = -12 - -17. Solve -4 = 3*u - 0*u - o*a, -u - m*a = -12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from ssdggiiivs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5218646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o**2 + 6*o - 3. Determine j(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 22410 = -23*u. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 6, -0.85, 4\/5, -2, 0.1, 4183?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**3 - 72*i**2 - 44*i - 14. Give w(-5).\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1891, 3782, 5673?\n\"Answer: 1891*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) 1.6 (c) -296 (d) -1 (e) -0.065\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(32\/5)*(p**(1\/5))**(-41) assuming p is positive.\nAnswer: p**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1318 + -478. List the prime factors of l.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12981144?\nAnswer: 2, 3, 11, 49171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + (-4 - -10) + -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70618 bigger than 70617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 3, -5, 5, 1052, -101 in increasing order.\nAnswer: -101, -5, 2\/15, 3, 5, 1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o*o*o*o*o**(-4)\/o*o)**(3\/2)*(((o**(-1)\/o)\/o*o)**(3\/40))**(-3\/7) assuming o is positive.\nAnswer: o**(639\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 6*c + 13*c. Solve 4*u + h = 11, -c*u + 2*h + 0*h = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -19 (b) -2\/11 (c) -4 (d) -2\/5 (e) -11\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-4)\/2 + -296. Let d = 184 - f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.567 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 - 7465255*u\/4 + 7465253\/2 = 0. What is u?\nAnswer: 2, 7465253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -2)**2 + 3 - (sqrt(500) - (sqrt(500) + 2))**2*5) + -1.\nAnswer: -40*sqrt(5) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/5 + 26482*c\/5 + 42184856\/5 = 0.\nAnswer: -11389, -1852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:23 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410 + 584. Calculate the remainder when r is divided by (-1)\/((-6)\/3 - (-435)\/220).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*v**2 - 114*v**2 - 70*v**2 + 140*v**2.\nAnswer: -146*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 9 = 23*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 27*j**2 - 170*j - 219. Calculate p(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 3 - 2*j + j)*(-44*j**3 + 27*j**3 - 63*j**3) to f*j**4 + n*j**3 + v*j + u + t*j**2 and give f.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112161 and 872.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 26*l + 2*k - 1840, -l = 48*k - 25*k - 22*k - 74 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 681148 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -2560844.9.\nAnswer: -1280422.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 1\/945*v**7 + 0 + 0*v**3 + 0*v - 15*v**2 + 0*v**4 + 1\/540*v**6 - 1\/270*v**5 - 1\/1512*v**8. Factor b(w).\nAnswer: -2*w**2*(w - 1)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1102500 and -47\/131250?\nAnswer: 5512500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 83 at most 5366\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n*r**5 + 17*n*r**4 + 2*n*r**3 - 2*n*r**2 + n*r - 5*r**2 wrt r?\nAnswer: 180*n*r**2 + 408*n*r + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/245 and -74\/63.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28195 - -99886. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + (-3 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1072, 0, -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -725986230 greater than -725986230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 + 224 = -61*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 10:12 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 4, 1 in descending order.\nAnswer: 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -113\/498934 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07325472 rounded to 5 dps?\nAnswer: -0.07325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:11 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680616 and 3954528.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000421105475 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/30124 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -533174.4.\nAnswer: -533171.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*w - 2. Determine b so that -1\/2*b - 3\/4*b**w + 0*b**3 + 1\/4*b**4 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 8:37 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 2\/(-4)*-2. Let y = 1.04414 - -0.95586. Which is the fourth smallest value? (a) y (b) 2\/7 (c) 0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1888?\nAnswer: -3\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 112893 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -2\/7, 3, -384\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c**2 + 3*c**2 + 9*c**2 + c**3. Let o(t) = -t**2. Suppose 2*j - 4*j = 4*p + 6, -4*p + 4*j = -24. Give p*d(i) + 4*o(i).\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, w: 10}. Give prob of sequence ii.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4007985 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 4*l**2 - 5*l + 6. Let x be c(-5). Suppose -2*u = -56 + x. 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 h(a) be the third derivative of a**3 + 7\/24*a**4 + 2*a**2 + 0 + 1\/20*a**5 + 0*a. Let v be h(-4). Solve f + 4*g = -5 + v, -12 = -2*f - 2*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(-6)*-1)\/3. Let u = -18 + 35\/2. Which is the third smallest value? (a) u (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/28 - 277184\/28. Round g to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86323 rounded to the nearest 1000?\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {f: 12, n: 2, m: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-1))\/((-9)\/6). Suppose 4*x - 2*b = -x + 126, -n*x - 2*b + 90 = 0. Find the first derivative of x*i + 14 - 2 - 5 wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 1. Let x be (-1)\/(2\/20*-2). Let f = -1 - 1. Let y(u) = -2*u - 2. Give f*y(m) + x*n(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l = 2*m - 60, 2*l = 4*m - 136. Suppose -m*p + 2682 = 232. What is the greatest common divisor of 280 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36743 + 73502 + l - 36798.\nAnswer: l - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-11))\/(24\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, -8, 3 in descending order.\nAnswer: 3, -4, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 2*a**2 - 3*a**3 - 42*a**4 + 169*a + a**2 - a**2 - 170*a to the form y*a**4 + k + h*a**3 + z*a**2 + i*a and give y.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + 3 + -112 + 31?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2 + 6*t - 7. Let h(c) = -28*c**2 - 13*c + 17. Let w(n) = 2*h(n) + 5*i(n). Let l(s) = 3*s**2 - 12*s + 3. Calculate 4*l(g) + 11*w(g).\nAnswer: g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*z + 2*z + 2*m, 5*z - 8*m = -12*m + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3fd (base 16) to base 14.\nAnswer: -52d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4721*y + 263*y**4 + 3 - 3 - 114*y**4 + 803*y**4 wrt y.\nAnswer: 11424*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/11? (a) 3 (b) 47.6 (c) 1 (d) -1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 4\/7 (c) -1 (d) -6\/685 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 - 113. Calculate the smallest common multiple of 68 and q.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 3:53 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + o - 14, 5*o + 38 = 2*b + b. Suppose -4*w + b + 18 = 0. Suppose -205 = g - w*g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -bec983c?\nAnswer: bec9839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 14*y - 2, 39*q + 39*q + 32 = 82*q - 5*y + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*s - 56 = 0, -5*i + 3*i - s = -29. Let r be (39\/(-12))\/((-1)\/4). Suppose r*u = 15*u - i. Solve u*p = p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 22. Let k(t) = 346*t - 53. Is k(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24769*37.\nAnswer: -9.16453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -64*t - 4. Is s(-1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 27 = -5*w. Suppose -2*z + 2 = 3*n, -n + 2 = 2*z + 4. Let i = z - w. Solve -13 - i = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25626 (base 7) to base 9\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86671822 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 455 - 2149 - 2236 + 47.\nAnswer: -11*l - 3883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4\/9 + 38*x**3\/9 - 100*x**2\/9 + 64*x\/9 = 0.\nAnswer: 0, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/60*188\/(-6) + (-4 - 1)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1496*l + 46*l**3 - 751*l + 48*l**3 + 32*l**3 - 745*l.\nAnswer: 126*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.19 - -24. Let h = 0.19 + r. Which is the third smallest value? (a) 9 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1255*d - 1264. Let w be u(1). Let x(n) = n**3 + 6*n**2 - 23*n + 30. Give x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(57\/(-76)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 4*q**2 - 7*q - 7. Let m be (-1*1)\/((-113)\/(-565)). Determine b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122423419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 385322202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 1.1. What is the third biggest value in -2, 0.03, m, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1635781 + 367241 = -42*f - 140*f. List the prime factors of f.\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484169399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*o - 96*o = -36 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73431309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 25*a + 191. Let x be m(-25). Solve -x + 194 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 521.9719km?\nAnswer: 52197190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 941, 0, 1\/7, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/3975 and -31\/1575.\nAnswer: 83475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 - 16*g**2 - 977*g + 8813. Give u(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 578*o**2. Let i(s) = -14*s**2. What is p(i(f))?\nAnswer: 113288*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(2\/3)*r)**16\/(((r\/r**(6\/11))\/r)\/r**4) assuming r is positive.\nAnswer: r**(2086\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9 - 4 + 10*x + 0*x - x. Let l = -34 + 37. Is 16 a factor of m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 5:43 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - ((-75)\/12)\/(1\/8). Suppose 126 = 60*g - o*g. Solve g = 6*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 2. Let g be d(-4). Suppose 7*x = g*x - 16. Let r = -16 - x. Solve 3*b + r*b - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32.1? (a) 1 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.2 (c) -1\/4 (d) 0.06 (e) -3357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -9. Suppose -3*q = o - 26, 59 = 3*o - 5*q + p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:31 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*y + 180 = -80*y - 77*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 (base 7) in base 14?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626 divided by 2.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:23 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 + 2*p + 6. Let x(d) = d**3 + 5*d**2 + 2*d + 5. Let g(s) = 4*n(s) - 5*x(s). Give g(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6365 (base 8) in base 15?\nAnswer: eb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11040 - -4?\nAnswer: -11034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 - 20 - 27)*(0 + 3 - 4)*(147*x + 155*x - 289*x).\nAnswer: 1898*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(2\/9) assuming m is positive.\nAnswer: m**(-4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 615\/23489?\nAnswer: 615\/23489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -2\/185, -5, 4, -0.5, -8, -2\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (11 + -5) - (26 + -55)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 159, -2, 7 in ascending order.\nAnswer: -2, 4, 7, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3042 + 3165.82. Let i = -0.82 + f. Let a = -122.999861 + i. Round a to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 88. Let d = 84 + o. Let h be d\/(-15)*15 - 335. What is h rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 p when four letters picked without replacement from tltlllppppplppllpp?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(64) + (sqrt(64)*-1 - sqrt(64)) + sqrt(64) - sqrt(64)))\/(sqrt(14)\/(sqrt(63) + sqrt(7)) - sqrt(2))*4.\nAnswer: -128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 8 - 3. Let p = x + 21. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246355 + 246355 + 693*r**2)*(-r**3 + 0 + 0).\nAnswer: -693*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -t + 2215, -5*z + t = -z + 4433. Let b = 625502819\/567564 + 1\/94594. Let o = z + b. Calculate the common denominator of 29\/4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**7\/14 - d**6\/15 - 739*d**5\/20 - 6931*d**3\/6 - 3305*d - 1. What is the second derivative of c(v) wrt v?\nAnswer: 60*v**3 - 24*v**2 - 4434*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19150?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1316\/1965 + -2\/655. Let p be 45\/(-75) - (-104)\/(-10). Which is the closest to p? (a) m (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/2)\/w*w)**(25\/3)\/(w**(-5)\/(w**3\/w)) assuming w is positive.\nAnswer: w**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 2. Let q be y(-2). Which is the biggest value? (a) -0.3 (b) q (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9b30 (base 16) to base 11.\nAnswer: -435259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 8, 4*q = -4*d + 298 + 1686. What is d rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-15))\/(2\/12). Suppose u - 12 = -c*u. Suppose -36 = -v - 6*h + u*h, v = -4*h + 32. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 4, -3, -338 in descending order.\nAnswer: 4, -3, -5, -6, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 12) in base 2?\nAnswer: -11100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3279 = -4*i, 4*x = -0*i + 4*i - 3284. Suppose 0 = 20*n - 24*n + i. Suppose -179 = -3*g + n. What is the remainder when g is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.81, 4, 12 in descending order.\nAnswer: 12, 4, 1.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2\/3851?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, -4, 1363.\nAnswer: -19, -4, -2, 1363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 3\/4 (b) -3.9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.81 + -5.81. Which is the nearest to -0.2? (a) y (b) -14 (c) 1\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2856 and 70686?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = 1. Let h be 4\/((1\/(-2))\/z). Suppose 4*f = -2*n + 48, 3*f + 61 = h*f + 3*n. Calculate the highest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -713 - -4279\/6. Let v be 13\/63 - (-62)\/279. Sort -0.08, -2, d, v.\nAnswer: -2, -0.08, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 144004765*p + 144004760.\nAnswer: 5*(p + 1)*(p + 28800952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-24))\/(1\/2*-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355457.\nAnswer: 355457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 11 (b) -277 (c) -2 (d) -3434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13143061 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 7:17 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 173?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-25 + 15) - 9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208) - (1 + sqrt(6292))**2)*3*-5.\nAnswer: 600*sqrt(13) + 94440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/36 - 857\/(-9). Suppose o = 5*b - 60. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508249*v - 2463 + 2463.\nAnswer: 508249*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:35 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u + 22 = -43*u - 5*w, -4*u = 4*w - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -980.99442 + 0.55442. Let d = 1000 + a. Let t = -21 + d. What is t rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3004 + -2997. Solve -2*p - 10 = 0, 4*j + 11*p - 10*p - l = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -116\/23 (c) -0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 20*n**2 + 38*n + 26. Let p(y) = -7*y**2 - 13*y - 9. Let o(a) = -6*h(a) - 17*p(a). Suppose -6 + 60 = -18*v. Determine o(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 5 - 3 - 1 + 3 + (-1 + 0 + 0)*(1 - 3 + 3))*(-f - 7*f + 3*f).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 8. Let f(y) = -6 + 3 + y - 4*y**2 + 2 + 6*y**2. Is f(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3738082, -3738068, -3738054?\nAnswer: -3738040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -697491840251.2 and -0.5?\nAnswer: 697491840250.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*i**6*y - 9*i**6 + 29*i**2*y + 3*y wrt i?\nAnswer: 5280*i**3*y - 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let s be (i\/9)\/((-2)\/4). Let t = -1\/63 - 107\/1197. Which is the nearest to 0? (a) s (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -5*p**3\/3 + 4*p**2 + 2*p + 8. Let o(l) = -l**2 + l. Determine 6*o(g) - v(g).\nAnswer: -g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17726740 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: What is the fifth root of 19663556 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s**(-4\/5))**(-2\/47) assuming s is positive.\nAnswer: s**(-18\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = -21. Suppose 3*k + 2*f = -31, 6*k - 2*k = 2*f - 46. Which is bigger: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -5 (c) -21\/4 (d) -9\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.639 and 10?\nAnswer: 316.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 6. Suppose -39 + 29 = -l. Let u be s(l). Does 23 divide -6 + 89 - (u + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -241645 * 13.\nAnswer: -3141385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/24 - (-1)\/(208\/(-74)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39168601 minus -6380.85?\nAnswer: 39174981.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 4*o + 4. Let p be b(4). Let a(q) = -q**2 - 5*q + 68. Let w be a(6). Find the second derivative of -2*f**4 + w*f - 9*f + 3*f**p - 2*f**4 wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10212 and 1776.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0 - x**2 - 4*x + 1\/15*x**5 - 7\/9*x**3 - 1\/189*x**7 - 5\/27*x**4 + 1\/45*x**6. Find o, given that q(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110109?\nAnswer: 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let c(g) = 6*g**2 - 7*g - 1190. What is c(y(s))?\nAnswer: 24*s**2 + 14*s - 1190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406708?\nAnswer: 2, 17, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(2\/11)\/z))\/z)\/z**(2\/7)*(z*z*z\/z**1)**11 assuming z is positive.\nAnswer: z**(1812\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -14 - 10. Let j(d) = d**2 - 5*d - 6. Let u be j(7). Let k = h + u. What is the least common multiple of 3 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -284, -530, -778, -1028, -1280?\n\"Answer: -m**2 - 243*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17081 + 17081.00041156. What is s rounded to six dps?\nAnswer: 0.000412","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-12))\/(-19)*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.699921 - 19.7. What is r rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1141, -845, -9117, -26819, -57095?\nAnswer: -103089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 5*u**3 + 0*u)*(70*u + 372*u - 195*u).\nAnswer: -1235*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**8\/504 + w**7\/315 + w**6\/45 - 2*w**5\/45 - 21*w**2 + 1. Find o, given that u(o) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.01 + 0.01. Let w = 22.4 + g. What is the closest to 1\/2 in w, -2\/7, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a century in months?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*y - 37890, 2*f - 13540 = 4*y + 5410. Let s = f + -1852. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 5*q - 11. Let l be k(7). Find the second derivative of -4 + l*o + 1853*o**2 + 2*o**3 - 1826*o**2 + 1 wrt o.\nAnswer: 12*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 434, 403, 372, 341, 310?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12*(-4)\/(-36))\/((-2)\/3). Let g = -3.6 - -3.3. Which is the nearest to -0.2? (a) 0.4 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 6, j: 2, o: 8}. Give prob of picking 1 v, 1 o, and 1 t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31712126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -27) + (-92 - 12)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) 1 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/120 + l**5\/60 - l**4\/12 - l**3\/6 - 4*l**2. Let j be 1 + (-1)\/1 - -2. Determine o(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/128 and -93\/28.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) + -3 - 940\/752?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29865 + 33613. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, -3, 4, -61\/4?\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + n - 46, -n - 42 = -5*b + 20. Let j(s) = s**3 - 15*s**2 + 44*s - 56. Is 8 a factor of j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*f**2*v**3 + 5*f**2*v + 78*f*v**3 + f*v**2 + 428*f*v + v wrt v.\nAnswer: -258*f**2 + 468*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*c + 6*c. What is the greatest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/7 + 10174*f**2\/7 + 5022320*f\/7 + 653742048\/7 = 0. What is f?\nAnswer: -4551, -268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22795362, -22795361, -22795360, -22795359, -22795358, -22795357?\n\"Answer: b - 22795363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.19 + -1.69. What is the second smallest value in 0.01, u, -2\/11, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)\/(d*d\/(((d*d**(-19)*d)\/d)\/d)))\/(d*d**(-12))**(-18\/5) assuming d is positive.\nAnswer: d**(-293\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(294) - 5*(1*sqrt(294) - sqrt(294))) + sqrt(294))\/((-1*sqrt(70))\/sqrt(10)))\/(sqrt(96)*-4 - sqrt(96) - (sqrt(72)*-4)\/sqrt(12)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8321936972031 and 3?\nAnswer: 8321936972034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + -3 + 26 + -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*f + 79*f = 0. Let i = 1030 + -1022. Sort i, f, 1, 4.\nAnswer: f, 1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -6*sqrt(833)*3 + -3*sqrt(833) + 5 + -3).\nAnswer: -8 + 294*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let b(f) = -44*f**3 + f**2 - 4*f + 9. Let q(g) = -11*g**3 - g + 2. Let o(p) = -2*b(p) + 9*q(p). What are the prime factors of o(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17351.142s?\nAnswer: 289.1857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14*z**3 - 69*z**2 + z - 18. Let u be k(-5). Let r be (4 - 1 - 2) + -1. Suppose -13 = -2*y - 3*s, -y = 4*s - r*s - 9. Solve -12 + u = -y*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.914 - 5. Let p = h - 0.05. Round p to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3292380*p - 204588?\nAnswer: -3292380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 3214*b**3 - 7254*b**3 - 7*b**2 + 14*b**2 + 2857*b**3.\nAnswer: -7611*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14516476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5*k**2 + 311*h**2*k**2 + 129*h**2 - 3*h*k - 2*h + 26*k**2 + 104*k wrt h.\nAnswer: -20*h**3*k**2 + 622*k**2 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37951287 to the nearest integer?\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 17 = -4*j, 5*z + 10 = -415*j + 410*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 + 205*x**3 - 597*x**2 - 1813*x - 1010 = 0 for x.\nAnswer: -1, 5, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let p = h - -2. Let y(x) = -x**2 + 2 - p. Let q(z) = -2*z. What is q(y(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 - 4*c**2 + 4. Let j(s) = -3*s + 10. Let w be j(10). Suppose n - 4 = 1. Let i(z) = z**3 - z**2 + 1. Give n*v(q) + w*i(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8391*s = -8400*s + 90. Solve 0 = -5*l + s, -2*l = 4*w + 2*l - 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1211, 0.1, 13, 2\/21?\nAnswer: -0.1211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196878.\nAnswer: 2, 3, 11, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2094 + 239. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 5) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 6. Let l be r(-7). Let m(c) = -2*c**3 + c. Let v be m(l). Solve 4*t + 5 - v = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1810 - -3?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 - -1706120004.\nAnswer: 1706119955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3529 = -z - 3*r, -r - 9503 = -4*z + 4626. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -20*r - 54. Let n be c(-3). Suppose -n*w - 385 + 5605 = 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:21 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -5, -1, 2, -2250, -3 in increasing order.\nAnswer: -2250, -5, -3, -1, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -5*j, -3*j + 1 = -d + 2. Let t be (2\/6)\/(((-32)\/408)\/4). Let y = 19 + t. Are y and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**2 - 29620584*j - 54836187281316 = 0.\nAnswer: -3702573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94083.822ms to weeks.\nAnswer: 0.000155561875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 147*j**4 + 272916*j**3 + 155916*j**2 + 22272*j = 0. Calculate j.\nAnswer: -1856, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 + 141050?\nAnswer: 141220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*y + 2*w, 17*y - 19*y = -4*w - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -362726 divided by -2?\nAnswer: 181363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2\/17, 1, 669, -3 in increasing order.\nAnswer: -4, -3, 2\/17, 1, 4, 669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -16. Suppose 5*w = x*w. Solve -3*d + 4*j - 13 = 0, 5*j + 1 = -2*d - w*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11285 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 194 = 6*n. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(-12)*96\/160.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(-3)\/v)*v)\/v)\/v**(3\/13))\/((v**(-1\/4)\/v)\/v**22) assuming v is positive.\nAnswer: v**(1509\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1406 - -1471. Solve 37*a - 46 - g = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x + 4*k = 25, 0 = -2*x - 5*k - 7. Suppose 2*y - x = -107. Let b = y + 104. What is the remainder when b is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17793 or 17792?\nAnswer: 17793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 22*c - 95. Let t be a(-6). Sort 0, 52, 5, t, -1 in descending order.\nAnswer: 52, 5, t, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**4\/24 + 8*m**2. Let t(i) = 4*i**2 - 13*i**2 + 45*i**2. Determine a(t(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (2*sqrt(209)*5 - sqrt(209)) + 3*sqrt(209)*1)\/(((sqrt(110) - sqrt(110)*1*-4) + sqrt(110) + sqrt(110))\/(-5*sqrt(40) + sqrt(10))))**2.\nAnswer: 260091\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 - 2 + 0*o**3 - 2*o**3)*(20*o - 22*o + 16*o) in the form a*o**3 + d*o + z + n*o**2 + h*o**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, -5 in descending order.\nAnswer: -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 90. Let s(p) = -28*p + 95. Calculate s(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*j + 3 - 11 = 0, -3*j - 6 = 0. Let v be (-4 - -4)*(1 - m). Which is the nearest to 2\/9? (a) -0.2 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203.0999993195 + -203.1. Round g to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11204\/5625061 + 6\/2171. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3507? (a) -0.5 (b) -2\/11 (c) 1 (d) 3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*j + 1425 + 934, -3*y + j + 7066 = 0. Suppose -y - 841 = -17*f. Calculate the remainder when f is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 11 + 13. Let f(v) = -v**3 - 7*v**2 + v + 1. List the prime factors of f(n).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8 - 13*a**3 - 5*a**2 + 12*a**3 - 2*a - a**2 - 5*a. Calculate the lowest common multiple of 12 and z(-7).\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108*664\/(-15687))\/(4*(-2)\/98)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2*j = -4*i + 2, 4*j + 16 = 0. Let d = 17692\/3 + -5889. Factor -35\/3*b - 11\/3*b**2 - d - 1\/3*b**i.\nAnswer: -(b + 1)*(b + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43756 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-58)\/116)\/(2\/20). Let j(q) = -2 - 3*q - 6*q - 7. Let l be j(f). Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 4*i + 80 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19a0 + 27276?\nAnswer: 255a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/w)\/w)**(10\/3) assuming w is positive.\nAnswer: w**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 190731.375ms in days?\nAnswer: 0.0022075390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.427 in -0.33, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - ((-3*sqrt(2736))**2 + 2 + sqrt(2736))) + -3 - (-1*-1*sqrt(2736))**2*-3.\nAnswer: -16421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12191, -24376, -36533, -48656, -60739, -72776, -84761, -96688?\nAnswer: -108551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -37*y**2 - 48*y. Let q(i) = -12*i**2 + 7*i**2 + 42*i**2 + 47*i. Let k(j) = 4*p(j) + 5*q(j). Find the second derivative of k(z) wrt z.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245352 (base 7) to base 5.\nAnswer: 2420432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361 + -351. Suppose 95 = s*a - 5505. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 57. Let m be ((-116307)\/15)\/k - 8\/60. Let y = m - -2591. Calculate the common denominator of 49\/9 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5\/4 - 45*l**4\/4 - 171*l**3\/4 + 129*l**2\/4 + 144*l + 81 = 0.\nAnswer: -3, -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00128 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**4\/5 - 174*d**3\/5 + 168*d**2\/5.\nAnswer: 6*d**2*(d - 28)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448) + 2 - (sqrt(2448)*-1 - sqrt(2448))*-5)**2 + (-6*(sqrt(2448) - (sqrt(2448) + (sqrt(2448)*-4 - sqrt(2448))))*4)**2.\nAnswer: -384*sqrt(17) + 35407876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44247?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 - 5*z + 357. Let s be g(-10). Suppose 3*x - 5 = 4*m, 0*m + 20 = -5*m + x. Suppose -20*j = -18*j - 4. Put m, s, j in increasing order.\nAnswer: m, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13064435233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.106? (a) 5 (b) -28 (c) 13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 5*v**2 + 7*v + 3. Let x = 2892 - 2888. Let d(b) = -2*b**3 + 4*b**2 + 6*b + 2. Suppose -2*r = -6*r - 20. Calculate r*d(k) + x*g(k).\nAnswer: -2*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 215317 and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 353 + 20 = -24*d + 17*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -947*z**4\/12 - 137*z**2\/2 + 21*z - 32. Differentiate q(c) wrt c.\nAnswer: -1894*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 = 3*n - 2*n, u = -3*n - 1. Find the second derivative of -7*h**u - 9*h**2 + 5*h + 18*h**2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.8. Let d = 238 - 238. Sort d, -1\/8, x in descending order.\nAnswer: x, d, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 28 = 4. Let w(a) = -5*a - 34. Let l be w(-8). What is the greatest common factor of l and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {e: 2, o: 5, r: 6, a: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (7 + -2 + (9 - 21 - -5))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**3 + 2*f**2 - 1. Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201585 and 604?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5 + 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0005 + 0.0406. Let i = -0.04109278 + y. What is i rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 5*j**2 + 6*j + 6. List the prime factors of u(-7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let o = 2 - -2. Let j(u) = 4*u. Let x(h) = -h. Let d(t) = j(t) + 3*x(t). Calculate o*d(i) + 3*g(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6237 is divided by 1487.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282588448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -5, 0.1, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -71. Let i = c - -48. Let v = -3 + 3. What is the third smallest value in -2, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuxxu. Give prob of sequence ux.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6.1. Let h = -0.1 - b. What is the nearest to -1 in -0.3, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 4*t - 5*z, 4*t + 2*z = -40. Let v be t\/3*(-6)\/(-8). Let j be (-8)\/v + 8\/(-12). Solve 3*x - 19 = 2*o, -j*o - 3*x = x - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116.212 * -101\nAnswer: -11737.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41332.39 rounded to the nearest 100?\nAnswer: -41300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 25. Suppose 9 = -3*h, -3*h - 1 = -y + z*y. Suppose 6 = -y*a, 4*j - 23 = a + 208. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/150 and -31\/367524.\nAnswer: 9188100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 8344160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 15*l - 2. Calculate the remainder when m(1) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*i + 63, -59 = -3*i + z - 16. Let q = 3 + i. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 195370 - 195370.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2300210 (base 4) to base 7\nAnswer: -44642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5\/(-20)) - 287\/(-70).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -15, -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1 less than 35?\nAnswer: 20.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 34*p + 30. Calculate u(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 2*y + 32 = 0, -3*v + y - 31199 = -31207 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*m**2 - 76576059*b**2 + 43*b*m**2 + 1470779*m**2 with respect to m.\nAnswer: -2*b**2*m + 86*b*m + 2941558*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 190, -5, -7828?\nAnswer: -7828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 2:57 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 49, 51, 53, 55, 57?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j + 1385 + 183 = 19*j - 26*j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 398, 592, 782?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j**3\/4 - 111*j**2\/4 + 90*j - 27 = 0.\nAnswer: 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639142.\nAnswer: 2, 7, 71, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2078 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 20*v + 40. Let p be f(-7). Let a(r) = -29*r - 34. What is the smallest common multiple of a(p) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/((-6)\/20)*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15385)\/(-34)*4\/5 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + (sqrt(2448) - (1 + sqrt(2448) + sqrt(2448))*4 - (1 + sqrt(2448) + sqrt(2448) + -5)) + 2 + -2)*-2)**2.\nAnswer: 2160*sqrt(17) + 793177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r - 16. Let k be q(-2). Let w = -1\/41 - 771\/328. Find the common denominator of w and (-12)\/27*(-654)\/k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34540?\nAnswer: 2, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 976*r - 9333. Let u(k) = -k + 9. Let d(l) = -6*n(l) - 6222*u(l). Let w(p) = -2*p**2. What is w(d(m))?\nAnswer: -267912*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319 - 147. Let k = f + -167. Let n be -2 + (-3)\/(6\/(-8)). What is the greatest common factor of k and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-153) - (-36)\/(-17). What is the third smallest value in s, 1, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17100*0.0518.\nAnswer: -885.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3260 times 0.1\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 421449091 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(17\/45169*1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1132067822*g**6 + 27420*g**2 - 6705.\nAnswer: -135848138640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*v + 34 = -i, 0 = -4*v - 8. Calculate the remainder when i is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {x: 1, f: 2, u: 1, q: 1, s: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*z**4 - 682*z**3 + 4895*z**2 wrt z?\nAnswer: 744*z - 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 + 0.2. Let c = 2.94 + n. Let d = -5 + c. What is the nearest to 0.2 in -3, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + (2 - (8 + 2)) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14524977 and 573?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*v**8)**(-8)\/(v**(-8)\/(v\/((v*v**0)\/v*v)*v))**(-1\/11) assuming v is positive.\nAnswer: v**(-2315\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 19*f + 17. Let n(a) = a**2 - 20*a + 18. Let j(c) = 4*n(c) - 5*t(c). Is j(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/6 - -1)\/(18\/(-2868039)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251425596 divided by 7324?\nAnswer: 34329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*g - 279 = 0, 9*m = 5*m - 4*g + 228. Let f be m\/(-44) + (-100)\/(-16). Solve 5*l = -z - 12 + 29, -f = -2*l - z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595203 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 138?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 26. Calculate v(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22006 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36720 and 1511028.\nAnswer: 30220560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/7)\/(558\/651).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 9\/2*j**2 - 9*j - 8 - 1\/3*j**3. Give x(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-9)*(-18)\/(-8). Let x be (35\/(-21))\/(1\/m). Determine v, given that 15*v - 3*v**2 + x*v**3 - 3 + 38*v**2 + 3 = 0.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -652639 and -7.\nAnswer: 4568473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/20)\/((-2)\/(-4)). Suppose -r + 6*g - s*g = -3, -5*r + 3*g + 3 = 0. Suppose 2*o - 402 - 184 = r. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 314, 316, 318, 320?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 12*x**2 + 23*x - 5. Let v = -101 + 104. Suppose 14 - v = g. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**5 + 101*p**6 + 248131*p**2 + p**3 - 248015*p**2 - 18 + 101*p**6 wrt p?\nAnswer: 24240*p**3 + 180*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/((-6)\/45). Suppose -3*m + b*y + 41 = 0, 2 - 6 = y. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*z + 365, 3*c - 293 = -c - 3*z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 - -0.7. Let g = -337 + 333. Which is the second smallest value? (a) -0.5 (b) -2\/9 (c) f (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*x - 2, -2*t - 1 = 2*t - x. Let y be -1 + -2*t\/2. Find the first derivative of s**3 + 1 + y*s**3 - 2*s**3 wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*1\/8*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-636)\/(-10)*(750\/40)\/(-25). Let t = -111\/5 - r. Find the common denominator of 8\/(-20) + 197\/(-120) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*n + 2*x + x, -2*n = -2*x - 28. Suppose -n*u = -u - 32. Suppose u*w = 5*s - 151, 5*s - 84 - 39 = -3*w. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/15)\/((d*(d**2\/d)\/d)\/(d**(1\/8)\/d))*(((d*d\/d**4)\/d)\/(d*d**0))\/(d**(-3\/4)\/(d\/d**(-1\/3))) assuming d is positive.\nAnswer: d**(-439\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -229*r**4*s**3 - 882*r**3*s**2 + 11*r**2*s**3 - 2*r**2*s + 2*r**2 - 2*r*s + 86*r wrt r?\nAnswer: -5496*r*s**3 - 5292*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 1571901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5152895 is divided by 1008?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528018047 divided by -7983?\nAnswer: -191409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 - 5*p**3 - 19*p**2\/2 - 14*p + 1720. Calculate n(-13).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 689 + -597. What are the prime factors of (z + -76)*(-132)\/(-2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 5406*l**2 + 8*l + 5404*l**2. Determine u(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = d - 0*d + 1, -l + 23 = -4*d. Let y be 154\/((d + 2)\/(-2)). Calculate the greatest common divisor of 22 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532688138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.14267 to the nearest integer.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7263\/16898 + 3\/2414. What is the smallest value in -0.11, -3, j, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 91003.\nAnswer: -8\/91003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = 21*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/7)\/l**(-10\/13))\/(l*l\/(l*(l**(2\/19)\/l)\/l)*l)**(-7\/8) assuming l is positive.\nAnswer: l**(20985\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75251 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 - -652 - (58 + -4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 215633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 130880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -36*p**2. Let q = -81 + 61. Let j be 5\/q - 42\/(-8). Let g(f) = -j*f - 11*f - 9*f + 24*f. Determine g(r(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 18 + 30 = 2*f, -2*m - 72 = -3*f. What is the lowest common multiple of f and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*x - 75, 0*m + 3*m - 83 = 5*x. Suppose -3*v + a + m = 2*a, -v - 3*a = -15. Is 2\/12 + 3785\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008746197 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-13 + 5) + 6. Suppose 8 = 3*w - h, d*w + 3*h = 3*w + 4. Which is smaller: 34\/29 or w?\nAnswer: 34\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*n + 16, -3*n - 25 = 3*i - 13. Solve i = 40*z - 16*z + 96 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**2\/2 - 1387*q + 328832 = 0.\nAnswer: -734, 896\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2628)\/(-3285))\/(39*3\/((-90)\/4))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 + 1.1. Let n = -5 + 5.1. Which is the second biggest value? (a) n (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8493499 minus 36?\nAnswer: -35.1506501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/475? (a) 3 (b) -5 (c) 4 (d) 0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 12. Suppose 101 + 7 = -18*h. Let j be 616\/(-32) - h\/(-8). Put j, 2, n in decreasing order.\nAnswer: n, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 5 = 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 6. Let o be r(6). Let l(w) = -w**2 + 13*w + 4. Let v be l(10). Let m = v - o. Solve h = -4*j + m, j + 5*h = 3*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 938430 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660743803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 5*o + 7*o + 0*o + 6*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14151, -56861, -128043, -227697, -355823, -512421?\nAnswer: -697491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 191*v**2 + 476*v - 389. Give u(-93).\nAnswer: -1412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.786010198 + 3.786. Round r to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 2. Let p(d) = -2*d - 3. Let w = 17 + -14. Let v(t) = w*b(t) - 2*p(t). What is v(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3 - 441*j**2 + 9*j - 355581.\nAnswer: 3*j**2 - 882*j + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010739 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 13. Let q = 0.9999995 + y. Round q to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (573 - 328 - 409)*(-3*u + 3*u + u)*(-3 + 3 + 9*u)*(-1 - 3*u + 0*u + 3) in the form z*u + v*u**3 + a + s*u**2 and give s.\nAnswer: -2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**1*u*u*u**3*(u\/(u**(6\/7)\/u))\/u*u*u*u**9 assuming u is positive.\nAnswer: u**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 45 = -2*w - 5*o, 66 = -2*w + 2*o. Which is the third biggest value? (a) w (b) -1\/2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*x - 7, x - 5*x - 2*o + 14 = 0. Suppose 0*d - x = -d. Is d > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004883 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-14))\/(15\/105). Let u(p) = -p - 4099*p**2 - 1162*p**2 - 1025*p**r + 0 + 7. Let j be u(-7). Round j to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -32 (b) -2\/5 (c) 2\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose w*z - 68 = -8. Is (z\/12)\/(2\/24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -7, 1.\nAnswer: -7, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (1 + -2)) + 0. Suppose 2*r = -2*m + 2, 0 = -2*m + r - 6 - 1. Let y(g) = g**2 + g. Let b be y(m). What is the biggest value in z, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 - 347. Suppose 5*z + 24 = -k, 0*k - 9 = 2*k - 3*z. Let u = 4 - k. What is the highest common divisor of u and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**4 + 436*g**3 + 9300*g**2 - 19892*g + 10160 = 0.\nAnswer: -20, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1047 decades in centuries?\nAnswer: 6.71047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.579 - -0.421. Which is the nearest to -2? (a) -5 (b) -3\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197966 is divided by 4123.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 107505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*x**4 + 8 + 11*x**4 - 37 wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1422 = -3*m + 460, -966 = -2*y + 2*m. Suppose 5405 = 2*s - y. Suppose w + 5*w = s. What is w rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 4:40 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23591564 divided by -4.\nAnswer: -5897891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -28. Let j = -32 - -31. Which is the biggest value? (a) 4\/3 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*k = 11, 0 + 7 = 5*c + 4*k. Suppose -10 = -c*v + v. Suppose 33*m + 218 - 416 = 0. Solve -v*u = -2*u + m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -579 - -1197\/2. Find the common denominator of a and (-3 + 3810\/1296)\/((-64)\/21 - -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000374464 to seven decimal places.\nAnswer: -0.0000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 630892209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6647 = -102*j + 3043. What is the smallest common multiple of 152 and j?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63590 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8482.\nAnswer: 2, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1348, -1343, -1336, -1327, -1316, -1303?\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25\/7, 3, -29, 1, -5, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.232? (a) 1\/2 (b) 230 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 140\/106*5\/4. Let w = -1085\/1219 + a. Calculate the common denominator of (123\/33)\/(-1)*395\/(-790) and w.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -5?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1459*y - 19106. Calculate b(14).\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15093509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 10, 2 in ascending order.\nAnswer: -15, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*d + 136*d + 43 = -13*n, -17 = 5*d + 4*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 10. Suppose -8 = z*a - 23. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 944 - 939. Let o = -11 - -1. Sort 2, h, o, 4.\nAnswer: o, 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16433+-0.01578\nAnswer: 0.14855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-19)\/(q\/(q*(q**(-10)*q)\/q))*(q\/q**(-6))\/(q\/q**(-1\/11)*q))**(2\/109) assuming q is positive.\nAnswer: q**(-530\/1199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-428)\/2996*(-6)\/(-10)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6859520 by -85744.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1971309 or -1?\nAnswer: 1\/1971309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:27 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f - -f4f8?\nAnswer: f527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-9073)\/(-7) - (-2)\/(-2)*39\/273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80140673?\nAnswer: 31, 89, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1125 + 224535?\nAnswer: 223410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -3)\/((-2)\/38). Let f = h - -43. Calculate the remainder when f is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 2*g**2 + 5*g**2 - 2*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/225)\/(6\/(-15)). Suppose -2*g + 0*f + 2*f - 198 = 0, 2*g = 4*f - 190. Let t = g - -720\/7. Which is the nearest to 0? (a) 2 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 10:24 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058 + 7238813.\nAnswer: 7238813.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 15927611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*s = -1 - 14, 7 = -f - 5*s. Suppose 80 + 206 = 2*k + f*u, -3*k = -2*u - 455. Does 68 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(2\/(-28)))\/((181480\/(-3640))\/(-349))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29\/3 + -88\/9. Suppose -103 = -9*m - 39 - 55. Which is the fourth biggest value? (a) m (b) r (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331 + 246. Let f = -3.2107899 - 81.7892257. Let d = f - g. Round d to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 3)*(-20 + 3). Let o = r - 116. What is the second smallest value in 5, -1, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17242 - 69142. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 18*i**2 + 31*i + 26. Let k be 0 + (-1 - 2) - -19. Let n be b(k). Let o(a) = -a + 1. What is o(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 4\/(-16)*-4. List the prime factors of (d\/6)\/1*-18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54723 divided by -493.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 64\/3*b**4 + 207*b + 80*b**3 - 252*b**2 - 54 = 0. Calculate b.\nAnswer: -6, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28862 - 28841. Let u be 2*(-2)\/(-8)*38. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-18)\/(-4))*(-30)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23478489\/(-12) + (-5)\/20. Let q = 696541 + d. Round q to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-2 + 1)) + 33. Suppose -i = i - w. Calculate the remainder when 48 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166937725*z**3 - 35434571*z**2 - z.\nAnswer: -1001626350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 2*t**3 + 5*t**3 + (t**3 + 2*t**3 - 2*t**3)*(0 + 0 - 2) + 10*t**3 + t**3 + 15*t**3 as s*t + c*t**3 + g*t**2 + p and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 209 = -5*y. Suppose -p = 5*l - 454, -y*p + 90 = l - 18*p. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*p + 2*w - 9, -6 = 3*p - 5*w. Suppose 0 = p*b - 41 - 34. Suppose 0 = -10*j + 15*j - b. Solve 2*l - 2*x = -x - 12, 5*x + 15 = -j*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 184 (b) 5 (c) 1\/8 (d) 2 (e) 0.109 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4324 and 15709468.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:40 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 81. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741265717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/147*7*0*(-1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 70*i + 61. Give n(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-3))\/((-3*(-36)\/(-27))\/(-59)). Calculate the highest common factor of 5959 and q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**3*d**2 + 2*c**3*d*f**3 + c**3*d*f + 9*c**3*d - c*d**2*f**3 - 2*c*d**2*f**2 wrt f?\nAnswer: 12*c**3*d - 6*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 30, 0.057, -15, 4, -3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 515 = -9*g - 4*v, 2*g - 208 = -2*v. What is the greatest common factor of 264 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/60 + 82\/8. Suppose h*w + 200 = 16*w. Suppose 4*v = w + 464. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 558 and 108?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/2 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 66. Suppose -7*u + 3*u - 132 = 0. Let g = k - u. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, i: 13}. Give prob of sequence iki.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -33, -47, -61, -75?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 4, 1, -428 in descending order.\nAnswer: 4, 3, 1, -3, -5, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167807.2ns in microseconds?\nAnswer: 167.8072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3 - 13. Suppose -12 = -4*v - z, 16 = -p*z - 0*z. Suppose v*c = -0*c - 4. Sort 3, 4, c in ascending order.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 23 = 2*t, 1 = -2*t + 5*q + 18. Let a = 14 - 26. Let p be 12\/(-5) + a\/(-30). Sort p, 4, t in descending order.\nAnswer: 4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 104640?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -42*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7717*v + 3*v**2 + 25 + 79 + 7718*v + (-4 + v + 4)*(v - 2*v - v) + 0 - v**2 + 0 + 2*v**2 + 1 - 1 as t*v + u + z*v**2 and give u.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:15 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5291 is divided by 1752.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 892, 893, 894, 895?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6+-31103\nAnswer: -31097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 4 - ((8 - 23) + 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1742 is divided by 438.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m + 1. Let l(v) = -9*v + 26*v - 8*v - 14*v - 1. Calculate -2*l(g) - 3*u(g).\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35323 (base 6) to base 12.\nAnswer: 2b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 4, z: 3, a: 3, q: 1, c: 1}. Give prob of sequence wszc.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(6\/5))**(2\/35)\/((y\/(y*y**13\/y))\/y*y)**(-2\/53))**(-30) assuming y is positive.\nAnswer: y**(25836\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -19*d - 30. Let s be 1*0*d\/14. Let j = 5 + -3. Solve s = -0*t + t - j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 10:45 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141725 - -2003424601\/14136. Let m = -27883\/51832 + k. Find the common denominator of 149\/6 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 392*o. Let s(q) = -6228*q**2 + 5*q + 5. What is s(w(y))?\nAnswer: -957019392*y**2 + 1960*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 7366 + 7521 = 5*f, 22*f - 12*p - 322 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5 - 19. Suppose 5*f - 11 = g. Solve 0*z + 25 = f*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by (-272)\/(-20) - 8\/(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 + p - 2. Let h be n(2). Suppose -3*f + 8975 = q + 4*q, h = -4*f - 3*q + 11985. What is f rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjxjjjbbjajxx. What is prob of sequence xa?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 36, 53?\n\"Answer: 17*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -51. Let o(p) be the third derivative of -p**5\/60 + 19*p**4\/24 - 17*p**3\/3 - 8*p**2. Let w be o(16). Is w equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22229 - 44?\nAnswer: -22270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -32*d + 21. Give g(5).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 16*o - 25. Let w(g) = -g**3 + 6*g**2 - 6*g - 4. What is the smallest common multiple of i(18) and w(3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 20. Let f be o(-11). Let m = 2 + 0. Find the common denominator of (-267)\/f + 1 - m and -59\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 - 539\/(-33))\/((-2)\/(-433806)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28215, -31288, -34361?\n\"Answer: -3073*c - 25142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 749*g**3*l**3 - 23798*g**3 - 95129776*l**3 + 1 wrt g?\nAnswer: 2247*g**2*l**3 - 71394*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -35*p + 30. Let w(d) = -164*d + 123. Let b(i) = -9*h(i) + 2*w(i). Let z(o) = 6*o + 12. Calculate -2*b(x) - 5*z(x).\nAnswer: -4*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78\/5 - 232\/15. Sort 0, -7, -0.5, c in ascending order.\nAnswer: -7, -0.5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20474 and 6707.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-27))\/u*((u\/(u*u**(2\/3)))\/u)\/u*u**(-15\/8)\/((u\/u**24)\/u))**(-12) assuming u is positive.\nAnswer: u**(-1115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {e: 4, u: 3, r: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (-2 + -3 + sqrt(2736) - sqrt(2736)) + sqrt(2736) + -2 + ((-2 + sqrt(2736))*-3 - (sqrt(2736) + -2 + sqrt(2736))*-2))**2.\nAnswer: -144*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -170 and 3.24288867623?\nAnswer: 173.24288867623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 62935.\nAnswer: -88109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -369, -4, 64 in ascending order.\nAnswer: -369, -4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 - 173 - 191)*(3 - 3 + 1)*(-4 + 3*q + 4).\nAnswer: -675*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1115 = -288. Suppose -x = -14*o + 25. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3160\/119 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/182, -2\/5, -26\/3, 0.8, -2\/3, -0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.9 or -88.2477?\nAnswer: -88.2477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a - 12 = u, -2*u + 6 = 0. Let v(r) = r - 6. Let o be v(6). Let g be (0 + 6\/8)*4. Put g, o, a in decreasing order.\nAnswer: a, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3\/4))**(2\/15)*v**(-6\/11)\/((v\/(v**(2\/5)\/v))\/v) assuming v is positive.\nAnswer: v**(-301\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.2 and -25196.8.\nAnswer: -25191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 smaller than -2701\/82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*q - 17936 = -276*q + 4880 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 4, t: 6, o: 1, a: 1, j: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -522, -858, -1184, -1494, -1782, -2042?\n\"Answer: w**3 - w**2 - 340*w - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 561240000 rounded to the nearest one million?\nAnswer: 561000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -662\/5 + 132. Which is the nearest to 1? (a) 3\/5 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 (base 5) in base 3?\nAnswer: 22210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 13?\nAnswer: -12.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (9 + -6) - -8) + (-24 + -7 - 14).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133948059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwa. Give prob of sequence wla.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9117 + -9114. Solve -6 = -d*b + 9*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(17) + -6*sqrt(17)*4))**2.\nAnswer: -4968*sqrt(17) + 324072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10260 and 9218800?\nAnswer: 248907600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/14, 1.3, -4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7405688 a multiple of 1532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 6. Let n be o(2). Suppose k - 2*k + m = 3, n*k = -4*m - 20. Which is the smallest value? (a) 2\/3 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -1, -1\/3852?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 3. What is the greatest common divisor of 171 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:20 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b. Let o(v) = -96*v**2 - 48. Let k = 328 + -329. Let d(n) = 3*n**2 + 1. Let y(z) = k*o(z) - 48*d(z). What is l(y(r))?\nAnswer: 432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -473 + -1403. Let w = -846 - x. What is w rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -384*c - 7956. Give b(-20).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {o: 1, r: 4, z: 1, k: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 3*o + o)*(-2347 + 452 - 2377 - 913) to t*o + c and give t.\nAnswer: 10370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 2*k**2 + 3*k + 2. Let q be i(-3). Solve -l + 4*c = -q*l + 7, -c = -1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 2*y**2 - 3*y. Let a(r) = -4*r**3 + 3*r**2 + 5*r. Suppose 0 = -4*x - 10*x - 70. Determine x*s(m) - 3*a(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.115 to 3 dps.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08088 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 6*t**2 - 35*t + 2*t**2 + 24*t**2.\nAnswer: 9*t**2 - 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.1, 7\/7208, -5\/59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 96, 2, -6, 577?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(-28)\/(-14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Suppose -3*j + j = z - 28, m*z = 4*j - 44. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 353098, 1412469, 3178092, 5649973, 8828118, 12712533, 17303224?\n\"Answer: s**3 + 353120*s**2 + 4*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f + i, 0*i + 3*i + 3 = 4*f. Solve 0 = -2*t + 2*m + 2*m, -f*t = -4*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 250, 4, -3 in ascending order.\nAnswer: -3, 4, 5, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-4))\/(-3))\/(6*286\/(-468))*6?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**8)\/(p\/(p*((p*p**(9\/4)\/p)\/p)\/p))*((p\/(p**(2\/35)*p*p))\/p)\/p*p*p\/(p*(p*(p**25*p)\/p)\/p) assuming p is positive.\nAnswer: p**(-2493\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81939 and 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/3)*r)\/r*r)\/(r*r**(1\/3)*r*r))**(-24) assuming r is positive.\nAnswer: r**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.01 + 0.01. Let c = k - -1.5. Let j be 96\/140 + (-4)\/14. What is the third biggest value in j, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6630 - -6635. Solve -w*p = 5*u + 45, -4*p + 4 = -5*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/(-532)*(-12376)\/520.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -3.\nAnswer: -7, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + 413?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3\/23, -3, -0.34 in descending order.\nAnswer: 3\/23, -0.34, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7269517*d**2*y**3 - 548*d*y**3 + 4061*d*y**2 wrt d?\nAnswer: -14539034*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r - 22. Let d(q) = -2970156*q. Determine d(c(y)).\nAnswer: -11880624*y + 65343432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u + 1. Let d = 3 + 1. Is 25 a factor of m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2533334*l - 2. Let m = 26 - 29. Let c be o(m). What is c rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 - 2*i**2 - 10*i**2)*((8 - 4 - 1)*(1 + 2 + 0) + 1 + 3 - 3) to the form u + x*i + g*i**2 and give g.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/9 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 divided by -20206?\nAnswer: 234\/10103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*(j*(j*j**(-6))\/j*j)\/j)))\/(j**1\/j)*j**(-1\/10)*j**(-6\/7) assuming j is positive.\nAnswer: j**(-417\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 18750.\nAnswer: 37500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**2 + 66442*s**6 - 134284*s**6 - 213 + 66606*s**6 wrt s.\nAnswer: -148320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 3*z**2 + 4*z**2 - 22372 + 22360 - 3*z + 16*z in the form d*z**2 + s*z + c and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34896 and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 226 - 469. Let c = 247 + g. Solve 8 = -3*v + n, c*n = 2*v - 3*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 14) to base 15.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 4*k + 3. Let j(i) = 4*i - 82. Let w be j(21). What is a(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43341 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107 and -1.361814043986.\nAnswer: -108.361814043986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + x - x**2 + 15*x**3 - 16*x**3 + 2 + 9*x**3 + 30*x**3 in the form v*x**3 + j*x + p*x**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Suppose 3*b = u*b + 2*x - 14, 0 = -2*b - 4*x + 12. What are the prime factors of 5700\/135 - b\/(-18)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 810658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, t: 2, u: 3, n: 3, m: 1, r: 4}. Give prob of sequence uthh.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*z**3 + 16*z**2 - 7*z + 7451 wrt z.\nAnswer: 42*z**2 + 32*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23330 (base 6) to base 13.\nAnswer: 16bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -85499*r**3 - r**2 - 7*r + 7. Let h be z(1). Round h to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724261410.\nAnswer: 2, 3, 5, 157, 51257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + 6*n**3 + 8*n**3 - 20*n**3 - 7*n**2 - 2 as y*n**2 + p*n**3 + q*n + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -30. Suppose -36*n = -35*n - h. What is the remainder when 59 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 1. Suppose 16*z - 11*z - 5 = 0. Calculate t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1296 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538438408?\nAnswer: 2, 13, 41, 421, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-150)*(-46 + 21 + 147\/6).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4328 - 2 - (-7 - -14))\/1 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470 = -16*o - 18*o - o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.5265283\nAnswer: 0.10530566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 10) to base 7\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -627 at least -633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 799032 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.35 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458 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: What is 14303 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11986 - -11979. Let r(c) = -7*c**3 - 9*c**2 - 7*c + 7. Let v(o) = -3*o**3 - 5*o**2 - 4*o + 4. Determine b*v(n) + 4*r(n).\nAnswer: -7*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 13*j**2 + 9*j - 5. Let r be s(12). Let d = 156 + r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 723.\nAnswer: -4\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 16, 15, 0, 4769?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 1.97. Let q = -0.57 - z. Let u = q - -0.6. Which is the nearest to 0.2? (a) u (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 29*y + 59. Let g be x(2). Let v(n) = 2*n - 9. Let w(u) = -2 + 1 - u - 2. Let r be w(-9). Let d(h) = -2*h + 8. What is g*v(t) + r*d(t)?\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 30*s = -3374550. Round s to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:37 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -128?\nAnswer: -5\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*o + 1 = -59*o. Let u be 4\/(-10) - 33\/5. Let x = o - u. What is the lowest common multiple of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/35005 - -1821322\/18587655. What is the common denominator of x and -55\/236?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36570900 divided by -5.\nAnswer: 7314180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 5*r**3 + 10*r**3 + 7*r**3 + 2*r**2.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -111, -430, -961, -1704?\n\"Answer: -106*r**2 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-70)*-8*7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*5\/(-20)*-4. Which is bigger: -1\/75 or x?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:50 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18731 divided by -61\nAnswer: 18731\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 381, 409, 489, 639, 877, 1221, 1689?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - u + 7 - 14 = 0, 2*a + 3*u - 24 = 0. What is the remainder when 134 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 10*h + 16 = 0, -34 = 3*p - h. Let z be (260\/(-25))\/(8 + p). Is z equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.10679 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*l + 2*l - 3*c, -2*c - 10 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 + -98. Suppose -2*c - 12 = -i. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11302.3 + -11302. What is the fourth biggest value in -7, 3, u, 27, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llooqlogxqqlo. Give prob of sequence qoq.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 39.34295 microseconds?\nAnswer: 0.03934295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*t**4 + 0*t**4 - 228*t**3 - 285*t**3 + t**4 + t + 437*t**3 to j + v*t**4 + b*t + s*t**3 + a*t**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-17 + -3)) + -5 + (2 - 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1006325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10. Suppose -2*f - 9 + 23 = u. Let l(w) = -3 - 7*w + f + 8*w + w**2. Give l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*f - 6. Let u = 20 + f. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, 32, -63, -0.09, -0.07 in increasing order.\nAnswer: -63, -0.09, -0.07, 32, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -26\/471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/145?\nAnswer: -4\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46729 - 46729 - 505*z**2 - 759*z**2 - 1980*z - 1166*z**2 wrt z?\nAnswer: -4860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 6. Let w(i) = -28 - 40 + 82 + 3*i - 31. Let l(x) = -17*p(x) - 6*w(x). Let m(j) = -144*j. Determine m(l(t)).\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/11)*g)\/(g**(-29)*g*g)*g**(-2\/33)\/g*g**(-24) assuming g is positive.\nAnswer: g**(124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 p when four letters picked without replacement from {v: 1, l: 2, u: 2, d: 2, p: 4, f: 1}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p + 1\/2*p**2 - 1\/3*p**3 + 0. What is the first derivative of f(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -23. Let l be (-2 - j)\/(((-6)\/(-9))\/1). Solve 5*u - l = -o, 2*u = o - 3 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 10:06 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.7. Let z = -7 - -7.3. Let c = 2 + -1. Put z, m, c in descending order.\nAnswer: c, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*z + 153*z + 306*z to the form j + k*z and give k.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 457 = -2637. Let y = 4798\/11 - d. Which is the second biggest value? (a) y (b) 0 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - 6*x - 10. Let i(y) = -5*y**2 + 7*y + 11. Let s(k) = -7*b(k) - 6*i(k). Let c(z) = 3*z**2. Give s(c(m)).\nAnswer: -45*m**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1337, 1336, 1335, 1334, 1333, 1332?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 12971. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11918*o + 66 + 5955*o + 5965*o. Let n(w) = -3*w. Give n(u(k)).\nAnswer: -6*k - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1000313016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2264851002 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3359 - 16796\/5. Sort -1, -12, k, 2.6 in decreasing order.\nAnswer: 2.6, k, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 (base 8) in base 12?\nAnswer: 56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**3\/3 + 3*n - 14. Let i(t) = 44*t**2. Calculate i(j(g)).\nAnswer: 176*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**2*p**3 - 45*c**2*p**2 - c**2 - 4*c*p**4 - c*p**2 - 2*p**5 wrt p?\nAnswer: -54*c**2 - 96*c*p - 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 113*o + 152*o - 58*o**3 - 7*o**2 + 270*o**3.\nAnswer: 212*o**3 + 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70 + -2264?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559358?\nAnswer: 2, 279679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 329*h**4\/12 - h**3\/6 + h - 2555. Let i(n) = n. Calculate d(i(l)).\nAnswer: 329*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - -4.3. Let u be -2 + ((-8)\/18)\/(3\/(-12)). Let j be 2\/(-10) + 9\/(-5). Which is the closest to -5? (a) r (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 1:46 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1057 (b) 5 (c) 0.13 (d) -2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 119*s + 206 + 348*s.\nAnswer: 229*s + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1709 + 0.0291. Which is the third smallest value? (a) -0.4 (b) q (c) 145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5096018 by 3197.\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2240) + -1*sqrt(2240) + sqrt(2240))*5)\/((sqrt(7) + sqrt(343) + sqrt(343)*-2)*-6) + 4.\nAnswer: 10*sqrt(5)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -3\/8 (c) -8900.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhww when four letters picked without replacement from {w: 2, h: 2, b: 1, n: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b. Let l(c) be the second derivative of -c**4\/12 - 5*c**3\/3 + c**2 + 10*c. What is the smallest common multiple of l(-10) and z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a**(2\/7)\/a)\/((a**11\/a)\/(a\/a**11)) assuming a is positive.\nAnswer: a**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(0 - -32) + 80606\/(-656). Sort -2, -9, t in increasing order.\nAnswer: t, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1466 and 43\/18?\nAnswer: 13194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -9 (b) 1 (c) 2\/3 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in -1, 0.2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:09 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 177\/4, -5, 0.5, 7, -21, 1, -0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 397324442 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1607*h + 15 = -1609*h - i, 4*i = -14*h - 96 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39c3b2b1 + -3?\nAnswer: -39c3b2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -77*r**3 + 5*r + 30. List the prime factors of s(-3).\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 9, 15, -5.4 in decreasing order.\nAnswer: 15, 9, -0.3, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3956067 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/19 - 251266*c\/19 + 14064624\/19.\nAnswer: 2*(c - 125577)*(c - 56)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 74, 139, 220, 323, 454, 619, 824?\n\"Answer: w**3 + 2*w**2 + 52*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 + 15*n - 1.\nAnswer: 15*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/(-11))\/(-42*154\/71148)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0932+3.31\nAnswer: 3.2168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3100, 12550, 28302, 50356, 78712, 113370?\n\"Answer: 3151*j**2 - 3*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-11)*1360\/(-120). Which is the smallest value? (a) -4 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.08?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434574 divided by -6?\nAnswer: -2217287\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-4 - -28) - -11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014 - -4240001133?\nAnswer: 4240002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/129 + 92\/387. Suppose 4*h - 128 = 4*m, 5*h + 2*m - 130 = 16. Suppose 4*l + 10 = h. Sort -4\/5, l, u.\nAnswer: -4\/5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 3*n - 3. Let w be s(2). Let q(m) = -6*m**2 - m. Let k(l) = -3*l**2. Let c(d) = w*k(d) + 3*q(d). Factor c(g).\nAnswer: -3*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 9 = 3*s - 24, 2*o - 10 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 447*o**3 - o + 1. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0897 times -4?\nAnswer: -8.3588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232931256.\nAnswer: 2, 3, 109, 89041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2383*j - 4810*j + 2374*j.\nAnswer: -53*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 196\/9, -1\/4, -3?\nAnswer: 196\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x - 685. Calculate t(77).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 7:26 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13415373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*r + 2418611 = -206904 - 86117. List the prime factors of r.\nAnswer: 2, 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-1)*3\/(-6). Let u = s + 2. Suppose 5*z = u*n + 141176 + 273804, 2*z = 4*n + 165980. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*w - 16, -2*w + 5*w = 4*d - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.54883 tonnes to micrograms.\nAnswer: 17548830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23 = 5*f, 11*b - 6*b = 5*f - 5. Let c = 15 - 12. Solve 0 = -x - c + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3114 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*d**6 + 43*d**2 wrt d.\nAnswer: -11040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwf when three letters picked without replacement from fqtkttqqkkwbqt.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-3)))**(1\/83)*((((g*g*g*g**(-1))\/g)\/g)\/g)**45)**(-4\/33) assuming g is positive.\nAnswer: g**(4976\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + u)*(4 + 3 - 6)*(37*u - 116*u + 45*u).\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -5, -2.43, -6, 12 in decreasing order.\nAnswer: 12, 2\/13, -2.43, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2 - 2*k + 7. Let d be l(-4). Let t = -73 + d. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 + 42*r - 234. What is the remainder when t(9) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 4*w)*(-4 - 1 + 7)*(122*w + 170*w + 2*w)*(1 + 3 - 2).\nAnswer: 1176*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/48314196 and 115\/6135136.\nAnswer: 386513568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.49 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113858*c*v*x - 167*c*x + 4*v - 63479398*x wrt c?\nAnswer: -113858*v*x - 167*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293 = -5*f - o + 11092, -7431 = -3*f + 2*o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 2. Let h = 11 - 7. Calculate the lowest common multiple of l(5) and ((-26)\/h + 1)*-2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 3 = 0. Let g be i + (-24)\/(-30) + 1\/5. Solve -z + 10 = 2*c, -c = g*c - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -0.3 (c) 2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let o = 2.1 + n. Let q = -4\/25 + -1\/25. What is the third biggest value in q, -1\/7, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 62625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 2\/7 (c) -0.5 (d) 2\/11 (e) -44.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -281, -451, -621?\n\"Answer: -170*y - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -4, 0 in decreasing order.\nAnswer: 0, -0.14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-4108)\/(-182))\/((-7)\/490).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6575 (base 13) to base 9\nAnswer: -21332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 192 = -5*a, 70 = -4*a + 2*r + 222. Let z = -26 + a. Suppose -8*c + z*c = 3070. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 + 3*y**3 - 13*y**3 - y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + 33\/(-12). Let t = 61\/2 - 29. Put t, q, 1 in ascending order.\nAnswer: q, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*p - 567 + 135. Let g(u) = -u**2 + 13*u + 2. Let o be g(13). Let d(j) = j**2 + 11*j - o*j**2 + 3*j**2 + 8 - j**2. What is d(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1008) + 0)*2)**2.\nAnswer: -96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/5 + -71\/20. Let m = -0.4 - -1.4. Which is the nearest to 0.1? (a) -4 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19570 or 19568?\nAnswer: 19568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*q + 13824 = -440*q. What is the greatest common factor of q and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i + 4*i**2 + 20*i**2 + 34*i + 29*i.\nAnswer: 24*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*z - 6, -12 = z - 4*a - 0*a. What are the prime factors of ((-28)\/(-3))\/(z\/(-6))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*i + 2*i - 6*i)*(-13*i - 90 + 90) - 72*i**2 + 22 - 22.\nAnswer: -98*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/17 (c) -26.2 (d) 4 (e) 2.5 (f) -0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v**2 + 369*v + 13439. Calculate i(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161881677 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 103 + -1 + (-109 - -41) + 43\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1041123 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 + -281. Solve m + 8 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z + 3*z + 24*z**3 - z**3.\nAnswer: 23*z**3 + 25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:14 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 + 34*d**4 + 98*d**3 - 98*d**2 - 244*d + 208 = 0. What is d?\nAnswer: -13, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0.019\nAnswer: 1.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -4, -50 in ascending order.\nAnswer: -50, -4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1446*j**6 + 1678*j**6 - 357*j**2 + 3*j**2 wrt j?\nAnswer: 27840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 11. Suppose -30*n = -l*n - 38. Calculate the highest common factor of 152 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 500103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6\/11)\/o)\/o)\/o*o*o*o**(7\/4))**(1\/28)\/(o**(-2\/9)\/o**(1\/3)*o**(3\/4)*o**(1\/10)\/o) assuming o is positive.\nAnswer: o**(39521\/55440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2936 = 5*d, 4*d - 4*w = 8*d - 2320. Let x(u) = -5*u + 293 - d + 4*u + 291. Let s(g) = -4*g**2 - 13*g. Give x(s(k)).\nAnswer: 4*k**2 + 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + -76.1. Let i = 518 - 443. Let h = i + u. Which is the smallest value? (a) h (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(56)\/(1*sqrt(4)))\/(-3*sqrt(28)\/sqrt(4) - sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-5)\/2)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/7, 0.1, 1.3, 0, -6.1, 5\/4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22176466.\nAnswer: 2, 13, 17, 131, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 4*a + 5*a)*(3*a - a - a) - a**2 - 3 + 3 + 2 - 2 - 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1.5, 38\/7 in ascending order.\nAnswer: -1.5, 0.2, 38\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30325 + 30324.8. Which is the nearest to -2? (a) 2\/7 (b) -11 (c) j (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.4 + 11.6. Let k = f - 0.2. What is the second biggest value in k, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 3*p - 1. Let l be f(-2). Let d = 3.98 + 0.02. Which is the biggest value? (a) d (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuumueuqiijuumei. Give prob of picking 1 q and 3 u.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z + 0*z**5 + 1\/3*z**2 + 1\/45*z**6 + 0 - 1\/9*z**4 + 0*z**3. Solve d(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339 + 2969. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35312.1072 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10580 or 10738?\nAnswer: 10738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/3 (b) -1\/7 (c) 4 (d) 721.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2343 + 9376. Let m = a - -2776. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 9*o**2\/2 + 5*o + 3. Let m(f) = -22*f - 12. What is -12*k(p) - 5*m(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 3 (c) 4 (d) 2 (e) 4105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 272 from 0.009.\nAnswer: -271.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -9. Let a be (-18)\/12 + (-3)\/(-2) + p. Let o(i) = 35*i**2 - 9*i - 11. Does 23 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470 and 5546.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -154, -377, -710, -1165, -1754, -2489?\nAnswer: -3382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-6*-2*sqrt(832) + 1 - ((-6*(-1 + sqrt(832)) - sqrt(832)) + -5)) + -1)**2.\nAnswer: -304*sqrt(13) + 300357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72665 divided by 5?\nAnswer: -14533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 802873151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/24)\/(39\/(-78)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/29, -2.021, 2, 3\/5 in decreasing order.\nAnswer: 2, 3\/5, 8\/29, -2.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.3, -0.5, 2\/11 in ascending order.\nAnswer: -0.5, -0.3, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -383 + 387. Which is the nearest to -1? (a) f (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.073629 and 3?\nAnswer: -0.220887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 62*i**2 - 609*i + 37. Let l(j) = -15*j**2 + 152*j - 9. Let m(o) = 6*g(o) + 25*l(o). Let a(p) = p**2. Determine m(a(b)).\nAnswer: -3*b**4 + 146*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 894*j - 2548. Calculate v(4).\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 293, 261, 197, 107, -3, -127?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -250\/41 + 84057\/13940. Calculate the common denominator of y and 25\/8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32194561, 64389087, 96583613, 128778139, 160972665?\nAnswer: 193167191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u + 486 = 73*u. Calculate the highest common divisor of u and 891.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**6\/8 - 7*c**4\/24 + 2*c**2 + 3. Let h(w) be the second derivative of y(w). Find the second derivative of h(u) wrt u.\nAnswer: 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12169275, -12169268, -12169261?\n\"Answer: 7*t - 12169282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6\/(-45) - 1143\/540).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4592 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*126)\/(1 + 0). Let z = h - 122. Solve -4*c - 8 = -3*y, 5*y + z = -c + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12571 = -122*l - 22*l + 10699 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 740\/(-150) + (-7)\/105?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((72\/16)\/9)\/(3\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5438758 is divided by 366?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*m - 91 + 140*m + 91 - 150*m.\nAnswer: -193*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*o + 3*o + 5*l, 0 = o + l - 8. Let c(p) = -o + 0*p**2 - 4 + 6 + 3*p**2. Let w(d) = d**3 + 4*d**2 - d - 2. Let v be w(-4). What is c(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*u = 193*u. Let j(m) be the first derivative of -5\/3*m**3 + 5 + u*m + 0*m**2. Factor j(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 862a (base 12) to base 2\nAnswer: 11100110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/361185 and 46\/168553.\nAnswer: 2528295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1053) + (sqrt(1053) - 4*sqrt(1053)))**2 - (sqrt(130)\/(sqrt(10)*-1) + (sqrt(13) - (3 + sqrt(52))))**2.\nAnswer: -48*sqrt(13) + 4152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 8*q - 4. Let a(w) be the third derivative of w**5\/60 - w**4\/8 - 7*w**3\/6 - 7*w**2. What is the smallest common multiple of y(-6) and a(-3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 4*m + 1. Let r be f(-4). Suppose 2*d + 2*d = 0. Let x = r - d. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34861 - 34859.2457. Round b to 2 decimal places.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k + 55. Calculate n(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1246, 4539, 10054, 17791?\nAnswer: 27750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 3*a - 1. Let d(o) = -7*o**3 + 7*o**2 + 28*o + 5. Calculate d(r) + 6*q(r).\nAnswer: -r**3 + 7*r**2 + 10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7635, -30825, -69475, -123585?\n\"Answer: -7730*s**2 + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34790992 divided by -1.\nAnswer: 34790992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 14*m**2 + 6*m - 29. Let v be l(17). Let o = -319 + v. Calculate the greatest common divisor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -o - 4*o - 10, 3*o - 5*m = -19. Let h be (-8)\/(-1) - (-64101)\/2787. Solve o*x - 5*p - h = 0, p = 1 - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6\/5)*t)\/t*t*t**18)\/(t**(-7)*t**(-8)) assuming t is positive.\nAnswer: t**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 + 36*n - 36*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.06 (c) 14\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1223*l + 51346 = -1235 - 13461 for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-8\/3)*k)\/(k\/(k\/k**(1\/24)*k*k*k)))**11 assuming k is positive.\nAnswer: k**(671\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679 = k + 2*i, -819*k + 814*k + 4*i + 3437 = 0. Solve -694*o = -k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 0.1192 (b) -169 (c) 2\/9 (d) -5 (e) 1\/4 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 17*t**3 - t**2 + t - 1. Let o(w) = 82*w**3 - 447*w**2 + 4*w + 713. Let g(f) = -5*d(f) + o(f). Find the second derivative of g(k) wrt k.\nAnswer: -18*k - 884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*(-75)\/(-135)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12616 times 3337?\nAnswer: 420.99592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 989*o + 278*o + 2382*o + 360*o - 479*o to the form v*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20255*k**4 + 15717905*k**3 + 19400*k**2.\nAnswer: 5*k**2*(k + 776)*(4051*k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347370*h - 347366*h - 5*t = -7, 3*h + 3*t - 15 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - -1 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*u - 14, -4*i = -u - 2*i - 16. Suppose 1591*z - 1612*z = 231. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 - -124. Let p(i) = -16*i**2 + 11*i + 6. Let g be (-9)\/(-2) - 6\/12. Let a(s) = 3*s + 3*s**2 - s - 1 - g*s. What is u*a(z) + 2*p(z)?\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:26 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 + 4 = -4*y, -3*y + 9 = b. What is the lowest common multiple of (144 - 70) + -1*5 and b?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 + 3*a**3 + 0*a**3)*(-22*a + 26*a - 13*a).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12318, -12287, -12256, -12225, -12194?\n\"Answer: 31*n - 12349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004828 rounded to 5 dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8) - (-372465)\/32040.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 55, 61, 47, 7?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5498592 and 93\/24272?\nAnswer: 203447904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2 + 1)\/3. Let u(o) = -o**4 - o - 1. Let i(p) = 3*p**4 + 6*p + 4. Let y(d) = w*i(d) + 4*u(d). Find the second derivative of y(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*i + 140*i = -120. Let t(b) = -b**3 + 25*b**2 - 25*b + 29. Let a be t(i). Solve -3*p = -n + 2 + a, -4*n + p - 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1916, 3781, 5552, 7187, 8644, 9881?\n\"Answer: -7*y**3 - 5*y**2 + 1929*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 - 0.3?\nAnswer: 410.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 981*a**5 + 372*a**2 - 2.\nAnswer: 58860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2565 - -2573. Solve -5*x + t = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -11. Suppose a = 2*a + r. Let c = 15 + a. What is the remainder when 20 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 5. Let x be z(5). Let q = 146445.07 + -146445. Which is the closest to q? (a) 1\/3 (b) -0.1 (c) -0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 417*r**2 - 6270*r + 228. Calculate u(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*t**2 + 31 - 14 + t**3 - 16.\nAnswer: t**3 + 83*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4780 - -5952. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -702 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4800 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 45008580 to the nearest 10000.\nAnswer: 45010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 - (-3)\/(225\/(-1320)). Which is the fourth biggest value? (a) 3\/2 (b) -7 (c) z (d) -1\/5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 79. Let i = 79 - 49. What is the remainder when v is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98996326439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 183*w - 176*w. Is 6\/305 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 54*h + 110*h + 164 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 22780432*s + 22780430*s = -22, 0 = -3*z - 9*s + 63 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 82*104574\nAnswer: 8575068","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(1870\/(-20))*(-1)\/(-2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280313 is divided by 426663?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 95?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-12)\/11) + -3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t + 1)*(-213*t**2 + 251*t**2 + 433*t**2).\nAnswer: -942*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.5 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 440*k + 9746. Give i(-23).\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7\/5 (b) -7 (c) -0.01 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 130 + 374 + s**3 + 7*s**2 - 120 - 120. Calculate b(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/300 + k**5\/50 - k**4\/20 + k**3\/15 - 7*k**2. Find j such that r(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (7 - 1) - (6 + 5 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8. Suppose n + 5*z - 9 - 2 = q, 5*n + z = 31. Let s = -4 + n. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9152603.\nAnswer: 29, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -7. Let q be (7\/(-7))\/(t\/3). Suppose q*b - 33 = 9. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*i - 9. Suppose -28 = -i*g + 2*x, -2*g - 3*x + 46 + 7 = 0. Let m = 27 - g. Solve -5*y = -y + m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 175 = 5*k, 0 = k + 4*w - 28 - 7. What is the remainder when 68 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - 0) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from tyctpotccyptyc.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + 60 + (20 - 8 - 16 - -13)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-10)*30*3\/36\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f - 11. Let j(r) = 3*r + 3. Let w = 8 - 10. Let p(h) = w*b(h) - 9*j(h). What is p(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*2)\/(-2) + 2. Suppose c - 4*c + 6 = 0. Let i = c + o. 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: Expand (-2 + 4*g**4 + 2)*(-3 + 2 - 1) - 5*g**4 + 5*g**4 + 3*g**2 + 2*g**4.\nAnswer: -6*g**4 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1.8923?\nAnswer: -9.4615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -23\/132, 2\/13, 5, 0.41?\nAnswer: -23\/132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926*i - 619*i = -1043*i + 9036 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72063 greater than 72064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/(-10)*(2 + -1). Suppose -s = -0*s + 3. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 191, -198, -2?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:55 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + k - 27 = 0, u - 4*k = -7*k - 31. Let o(r) = 5*r + 9. Let q be o(u). Let t = q - -140. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**6 + 39*p**5 - 139*p**4 + 41*p**2 - 2*p + 6.\nAnswer: -480*p**3 + 2340*p**2 - 3336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -604*a**2*v - 1463*a**2 - 3*a*v wrt v?\nAnswer: -604*a**2 - 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q\/q**(4\/5)*q)\/q))*q\/((q\/(q*q**(-7\/5)))\/q)*q)\/(q\/(q**(-2\/5)\/q))**(-1\/4))**(-19\/4) assuming q is positive.\nAnswer: q**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2033 greater than or equal to -3430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -233*z + 151. Let g(w) = 941*w - 602. Let l(h) = -471*h + 301. Let c(d) = -6*g(d) - 11*l(d). Let f(i) = 6*c(i) - 13*u(i). Differentiate f(k) wrt k.\nAnswer: 239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-507)\/12870 - 2\/33.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 23*p**3 + 2*p**2 + 2*p - 2. Let n be y(2). Let b = -106 + n. Let t = b + -3. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -181*r + 174*r. Solve 3*y + 4*q - 17 = 0, -3*y - q + 5*q = r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 19 - 19. Calculate the remainder when y is divided by (-1 - (-4)\/(-6))\/(9\/(-54)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let b be (-1)\/g*0 - 1. What is the units digit of 12*b\/(3\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220120023 (base 4) to base 8\nAnswer: -503013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85896749*s + 85896540*s + 6270 = 0 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/59, 2, 0, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, 2\/59, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1086, -1210, -1334, -1458, -1582, -1706?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z - 2. Let j be m(3). Let x be 88\/33*33\/j. What is the highest common factor of 55 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80433, 80503, 80673, 80991, 81505, 82263?\nAnswer: 83313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 32. Solve h*a - 10 = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8723 - -4?\nAnswer: 8727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -0.86. Let x = -1.94 - p. Let w = x + 0. Which is greater: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.62279l?\nAnswer: 85622.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1564, 1561, 1564, 1579, 1612, 1669?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 149*d**2 - d - 44. Let a(r) = -148*r**2 + 2*r + 45. Let y(p) = -3*a(p) - 4*x(p). What is the second derivative of y(w) wrt w?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.459669 minutes in nanoseconds?\nAnswer: 147580140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - d**3 + 6 + 1.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10340.6*11.1.\nAnswer: -114780.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 4*o + 1540 - 790 = 751, -5*o = -3*m - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30675064 is divided by 148?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -f + 45, -579*f + 3*p = -584*f + 239. Calculate the remainder when 119 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -798976 divided by 4\nAnswer: -199744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvvoxu. What is prob of picking 1 x, 1 u, 1 o, and 1 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + m**2 + 4. Let q = -4 - -4. Let p = 300 - 296. What is the smallest common multiple of p and y(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 2503 + 2*p + 1307 + 795 - 339 to the form c + m*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -422636 at most -422645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**8\/14 - 17*q**7\/35 - 27*q**6\/40 + 13*q**5\/20 + 11*q**4\/8 - 3*q**3\/2 - 13*q**2 - 6*q. Find k such that x(k) = 0.\nAnswer: -3, -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132463 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*z - 7*z + 2060, -4*r + 1608 = 4*z. What is the highest common factor of 37 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*11 + (7 - 25)*(-1)\/2. Find n such that 0 + 15\/2*n**4 - 5\/2*n**5 + t*n + 5*n**3 - 30*n**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 1, d: 1, q: 1, h: 1}. What is prob of sequence kdh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 18522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + 2*u**2 - 3*u + 2. Let j(i) = -12*i**3 - 6*i**2 + 10*i - 7. Let r = 117 - 124. What is r*o(d) - 2*j(d)?\nAnswer: -4*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -883321.574 + 881517. Let t = -1774.57492 - k. Let n = -30 + t. What is n rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.183339.\nAnswer: -0.183339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 12*y**2 + 15*y + 14. Give j(11).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1788 and 74244018?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5 - 2 + 199*q - 373*q to b*q + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 5*k + 27*k**2. Let s(t) be the first derivative of 2*t**3\/3 + 423. Determine j(s(u)).\nAnswer: 108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 2\/9, 1\/4, 0.8, -0.051, 2.\nAnswer: -0.051, 2\/9, 1\/4, 0.8, 2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*i**3 + 65*i**2 + 52*i - 20 = 0. Calculate i.\nAnswer: -1, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17647.\nAnswer: 7, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 359 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56650827*g**2*l**2 - 406*g*l + g - l**2 - 8305 wrt g.\nAnswer: -113301654*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 9*w - 64, 16369088*g - 16369085*g - 17 = -2*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4887960 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325.3 + 325. Let r = j + 0.7. Is -16\/9 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30, 5, 3, -5 in descending order.\nAnswer: 30, 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/84 and -33\/10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 24. Let t be (-10)\/15*(3 - 0). Let a be 2 - (0 + 5 + t + -1). Put k, 4, a in increasing order.\nAnswer: a, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Let o = 4 + -2. Let b be -6*((-8)\/(-6) - o). Solve 2*j - 1 - 1 = b*l, 0 = -5*l + m*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56508850 and 0.05?\nAnswer: 2825442.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 51. Let b = -20 - j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32110 and 1040.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, 9, 1, -17?\n\"Answer: -5*z**2 + 17*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-24) - -3)\/(12\/144)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 1418*o + 38905. Give x(-28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.64665 millilitres?\nAnswer: 0.08664665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/10 - 5*g**4\/24 + 7*g**3\/6 - 34*g**2. Let l(w) = w - 1. Determine -5*l(i) - z(i).\nAnswer: 6*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:50 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 606245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 7*c**2 - 9*c - 9. Let d(h) = h**3 - 4*h**2 - 11*h + 24. Let x be d(5). Determine f(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 3*w - 13. Let h be y(-5). Suppose -t - 2*t + 2*d = -28, 3*t - 3*d - h = 0. Let c(x) = -x + 7. Give c(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 9. Let f be q(3). Suppose f*x + 40 = 7*x. What is the remainder when 19 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 - -0.6. Let p(d) = d**2 - 1. Let v(g) = 6*g**2 - 15*g + 35. Let w(j) = -5*p(j) + v(j). Let k be w(12). What is the closest to -2 in -5, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgxu when four letters picked without replacement from sxlxlxixuuxug?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/415 and -57\/166?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 1 + 1 + 0*f + 4*f - 3*f + (-2*f + 4*f - 3*f)*(2 + 2 - 2) + 13*f - 48*f + 97*f.\nAnswer: 59*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7954 and 10670?\nAnswer: 437470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**3 + 1150*n**2 = 0.\nAnswer: -230, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.992 - -0.008. Let z = -30.99969 + h. Round z to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = 143 - 29 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 19, 32, 61, 112, 191, 304, 457?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3977 + 27842\/7. Is 1\/53 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143892 divided by 148?\nAnswer: -7729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w + w)*(2 + 1 - 4) + (-82 - 298 - 34)*(-4 + 4 - w) in the form h + j*w and give j.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.7687 litres to millilitres.\nAnswer: 33768.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/((sqrt(6) + sqrt(6)*2)*2) + -3)**2.\nAnswer: -sqrt(3) + 109\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Let t(g) = 5 + x*g**2 + 0*g + 0*g + g - g**2. Let r(z) = z**2 + z + 7. Let l(w) = -5*r(w) + 7*t(w). Find the second derivative of l(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -88, -213, -406, -679?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116 + -1*(-4 + 3). Suppose -421*q = -2*q + 33*q - 12204. What is the highest common factor of q and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8124689 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05093 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619*s + 2038*s = -5624*s + 138989 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129041 (base 10) to base 4.\nAnswer: 133200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -806552 (base 15) to base 5\nAnswer: -3030041302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11100111011?\nAnswer: -11100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*q + 180, 0 = -5*l + 5*q + 277 - 97. Which is the third smallest value? (a) l (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-9)\/((-9)\/14))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5132591703 to the nearest integer?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -30*p - 16. What is the remainder when k(-3) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9171259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {c: 4, z: 1, v: 2, i: 3, s: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 15*d = 231. Suppose -5*o = -4*w - 0*o + d, 251 = 4*w - o. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:33 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 137*2\/(-10) - -2. Let y = x - -25. Let t be 3 + (-41)\/13 + (-304)\/728. What is the nearest to y in -0.5, t, 0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2697 is divided by 868?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 2:09 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 643 - 8*w**3 + 132 + 0*w**3.\nAnswer: -17*w**3 - 511","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35986, 71975, 107964?\n\"Answer: 35989*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11259943 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 22. Suppose -m = -0*m - t. Let l = 25 - m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*39\/(-572)*(-22)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((164\/(-1))\/(-4))\/(32*43\/(-1376))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5 = 5*i, 76*i + 3*k = 79*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29515395)\/(-78) - 6\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -19?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1551736054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 (base 13) in base 15?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 79526\/(-32746) + (-1)\/((-14)\/10)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 704476*s + 38476.\nAnswer: 704476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/160 - h**5\/24 - 11*h**4\/96 - h**3\/6 + 26*h**2 - 5*h. Factor b(g).\nAnswer: -(g + 1)**2*(3*g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + 6 + 503 + -530\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Let m(a) = -u*a - 3*a**2 + 4*a - a**2. Let n(q) be the third derivative of q**5\/60 + 2*q**2. What is n(m(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 5, 67, 23 in decreasing order.\nAnswer: 67, 23, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11434 + -10330. Calculate the lowest common multiple of p and 120.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2632 - -1772. Let y be 4\/(-22) - q\/11. Suppose x + x = -c + y, 2*x - 2*c = 72. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*54\/(-405)*(-18864)\/480?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24596418 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x + 4. Let o = -54 - -46. Let u be y(o). Calculate the greatest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, e: 6, o: 3, z: 6}. What is prob of sequence ezf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1468*y - 11743 = 1710*y - 128890 - 60821 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323310 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/357 and (129\/3096)\/(14\/(-248))?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 1 = k, 4*k + 4*q = 4. Let s = 47 + -23. Solve -3*j - 23 = 4*o + 6, -3*j - s = k*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzzf when four letters picked without replacement from fzfmfzzzczcfcfczfcc?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 44964*j**2\/5 - 252224832*j\/5 + 5570730176\/5.\nAnswer: -2*(j - 22)*(j + 11252)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11601 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -33*r**3 + 20*r**4 - 34*r**3 + 16*r**5 + 92*r - 44*r**2 - 41*r**3 + 24 = 0.\nAnswer: -3, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -42, -113, -242, -447, -746, -1157?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -146666*c**3 + 177*c**2 - c - 202390012?\nAnswer: -439998*c**2 + 354*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*h + 46*h - 4*r - 21, -5*h + 3*r - 13 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3)\/x*x)**(-2)\/((x\/x**3)\/x)**(-14\/11) assuming x is positive.\nAnswer: x**(-214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 1. Let s be w(-1). Suppose 0 = a - 6 + 3. Solve 0 = p - s - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2*3\/24). Let f be (-4)\/(-18) + m\/18. Find the common denominator of (-31 - f)\/(-4 - 2) and 69\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 14. Let j be l(-7). Calculate the greatest common factor of 315 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136998757*d**3 + 3*d**2 + 2065979*d wrt d?\nAnswer: -821992542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*y - 91 = 0, 5*v + 2*y - 135 = 7*y. Let s = 1801 - 1736. Calculate the remainder when s is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61341022 and 77058?\nAnswer: 2854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4 - 2*l**3 + 28*l**2 - 30*l - 423712?\nAnswer: 8*l**3 - 6*l**2 + 56*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11120 and 6811.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 27*j + 133. Give i(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 divided by 293?\nAnswer: 244\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 19*n**2. Let d(g) = 6*g**2 - 3*g. What is d(j(l))?\nAnswer: 2166*l**4 - 57*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 + 68?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 264731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 195, 310, 399, 456, 475?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.3, 53.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/37 (b) 16 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12567684 or -0.12?\nAnswer: -12567684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 5603412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 495\/135 + (0 - (-6)\/(-9)). Factor 4*r**d + 0 - 16\/3*r - 4\/3*r**4 + 0*r**2.\nAnswer: -4*r*(r - 2)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271298 is divided by 90401?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1. Let j be (-2)\/4*(-72)\/156*-13. Let t(l) = -l + 1. Calculate j*t(a) - 4*n(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 6*g**2 + 8*g + 3.\nAnswer: -(g - 3)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 5*i**5 + 7*i**5 + 0*i**5 + (-1 - 2*i**2 + 1)*(0*i**3 + 0*i**3 - 2*i**3).\nAnswer: 6*i**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-5\/3)*x*x*x)\/x)\/x**(-14) assuming x is positive.\nAnswer: x**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 854, -13017, -36136, -68503, -110118, -160981, -221092?\nAnswer: -290451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6558501*x - 13116860*x + 6558350*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/23*((-51545)\/26685 - -3). Let m = w + 2\/1779. Let n = -2\/69 - m. Which is smaller: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 3*i**2 - 4*i**2 + (162*i + 112*i - 7*i)*(-7*i + 13*i + 18*i) + (2*i - 2*i - i)*(-3*i + 5*i - i).\nAnswer: 6402*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -125248 to the nearest one thousand.\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139748*u - 139818*u - 1260 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + -109.1. Is 24\/7 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319*l**3 - 319*l**3 - l**2 - 27*l**4 wrt l?\nAnswer: -648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 1. Let p(y) = y**2 + y + 5. Let h(z) = c(z) + p(z). Let s be h(-3). Put s, 1, -5 in ascending order.\nAnswer: -5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*t - 1 + 9, 0 = t + g + 2. Suppose 7*u + 2 = -2*m + 2*u, t = m - 4*u - 25. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Suppose -6 - 6 = -3*x. Which is the second smallest value? (a) 1\/4 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/11 (b) -0.5 (c) 2\/5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2. Let d be (9 - (-805)\/(-91)) + (-2)\/13. Let b(w) = 1019 - 1019 - w**2 + d*w**2. Give u(b(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (256\/80)\/((-2)\/(-60)). Suppose -2*j = -w - 12. Calculate the greatest common divisor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.02 (b) 3.7 (c) 5\/4 (d) 34 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22660237 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 - -1)\/(-4))\/(-2). Let x be (s + -3)*(-1 - 0). Suppose x*z = 2*z + 85. What is the remainder when z is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**4 - 194*s**3 + 1600*s**2 - 512*s = 0. Calculate s.\nAnswer: 0, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*((-4)\/6)\/(-2). Let v = -6387 + 6395. Solve -l + v = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8051 less than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 + 48*f**2 + 3621*f - 60690 = 0.\nAnswer: -35, 17, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863192761?\nAnswer: 61, 383, 36947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -59baa1?\nAnswer: 59ba8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) -6570\/13 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) + sqrt(104)*-2 + sqrt(104))*-5)\/(sqrt(162)*-4).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 5, 0, 0.2, -1\/9 in descending order.\nAnswer: 5, 0.2, 0, -0.05, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**4 + 6*y + 4*y**3 + 36*y**3 + 4*y**4 + 2 - 2*y**4 - 2*y**4 - y**2 in the form j*y**2 + a*y**3 + d*y**4 + z*y + k and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2295 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40643?\nAnswer: 97, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -112, 21212, -3, -4 in decreasing order.\nAnswer: 21212, 0, -3, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38781 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -29*c - 12. Is 71 a factor of n(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**3 - 3*p**2 - p + 1. Let v be h(-1). Solve -3*t + 12 = -v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -21. Find the common denominator of 23\/6 and -4 - ((-167)\/o - -3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.025 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 7*y + 59. Calculate the remainder when 133 is divided by v(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3363, -3374, -3397, -3438, -3503, -3598, -3729, -3902?\n\"Answer: -o**3 - 4*o - 3358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*m - 84*m - 83*m)*(-1 + 1 + 5)*(0*m**2 + m**2 + 0*m**2) as y*m**3 + v + o*m**2 + a*m and give y.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 5 (b) 2 (c) -2975\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0168 and 176.6.\nAnswer: 176.6168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*j**2*l**2*r**3 + 4270*j**2*l**2*r**2 + 5*j**2*r**3 - 400546*j*l*r + r**2 wrt l.\nAnswer: 90*j**2*r**3 + 8540*j**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 17550460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 184*m - m**5 - 184*m + (2*m**3 + m**2 - m**2)*(-56 - 2*m**2 + 56) + 2*m**5 + 3*m**5 - 3*m**5.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 5*v + 21. Let d be p(-5). What is the greatest common divisor of d and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/112*4*-1*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4567991944733+5\nAnswer: -4567991944728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124667 or 124665?\nAnswer: 124665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -381458*m - 363784?\nAnswer: -381458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01121953374 rounded to six dps?\nAnswer: -0.01122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 475?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k - 5. Let q = 6 + -5. Let w(h) = h - 6*h + 0*h + q + 1. Determine -3*f(z) - 8*w(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from xoxxgxoggggxggx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0, -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4\/9 + 2812*n**3\/9 - 2490*n**2 + 6528*n - 5592 = 0.\nAnswer: 2, 3, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 28*m - 69*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*j + 4*s - 0*s, -7*s + 5 = -8*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(2057) + 3)*-4.\nAnswer: -264*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16584692*f*o**2 - 6459635*o**2 wrt f?\nAnswer: 16584692*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2404, 18956, 63820, 151132, 295028, 509644, 809116?\n\"Answer: 2356*k**3 + 20*k**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*u + 15 = 5, 5*s - 5*u = 30. What is the third smallest value in 1, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 489793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x - 17 = -3*f, -5*x + 4*f + 28 = 0. Suppose 4*m - 35 = -7. Let t = 20 - m. Calculate the remainder when t is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-7)\/(-49)*4. Let l(n) = n**2 + n + 1. Let g(z) = z**3 - 7*z**2 - 4*z - 3. Calculate x*l(d) + g(d).\nAnswer: d**3 - 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 29*k**5\/20 + k**3 + 6*k. Find the second derivative of c(x) wrt x.\nAnswer: 174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -190, -191, -192, -193, -194, -195?\n\"Answer: -k - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.9? (a) 0.03 (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/28 - (-131)\/7. Let l = 6 - 6. Suppose l = -2*c + 7 + t. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 6026.7?\nAnswer: -542.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.084? (a) -3\/5 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12122002 (base 3) to base 6\nAnswer: 31002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-28 - (-30 - 32)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3\/4 (c) -3 (d) -72 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 573*f**3 - 184*f**2 - 3*f + 2 wrt f?\nAnswer: 3438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 308 + -200. Suppose 2*z + r = 453, 4*z + 3*r - 795 = i. Calculate the greatest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 + s + 1. Let r(i) = -82*i**2 - 5*i + 4*i**3 + 71*i**2 + 0*i - 2. Let u(b) = -r(b) - 5*z(b). What is u(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from oaaoa.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m. Let w be s(7). What is the lowest common multiple of -1 - ((-33)\/6)\/(-11)*-26 and w + (-1 - -1) + -1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**30*b*b)\/b*b\/(b*b\/b**40)*b assuming b is positive.\nAnswer: b**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3858 divided by -1286.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(6560\/1230).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3293 - -3298. Solve -14*f + 11*f + 9 = 4*b, 0 = o*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + 0 - 89\/(-84) and (254\/(-81))\/(2 + 1*(-20)\/30)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 5*q**2 + q. Let o be g(-5). Let f(i) = 5 + 4*i + 3*i - 5*i. Determine f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15708 (base 9) to base 12.\nAnswer: -62a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 40. What is the least common multiple of k and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {q: 1, i: 3, n: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 252 + 145. Calculate the remainder when l is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/18 - (-20)\/(-15)*15\/(-6). Let a(b) = -5*b - 1. Let y be a(-2). Let u = y - 55\/6. What is the closest to 1 in u, d, -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*i = 3*y - 21, 0 = -2*y + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/39)\/((-510)\/14586).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 515\/277, -4, -3\/10, 0.5 in ascending order.\nAnswer: -4, -3\/10, 0.5, 515\/277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34048)\/7 - -3)\/((-6)\/18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/83 or -243?\nAnswer: 28\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465952581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11 = 3*p, 4*c + 4*p - 17 = 11. Suppose -l - 3*q = c*l - 77, -2*l + 22 = -q. Solve -6*y + l*y = 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 - 19 = -5*l, 5*w - 15 = 5*l. Solve -m - 2*m + 3 = 0, w*u = 4*m + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -16068?\nAnswer: -16067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(30)\/sqrt(6) - sqrt(45)*-6)*6)**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**3 - 46*l**2 + 58*l - 364. Calculate i(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 4 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.045 + 0.045. Let r = -1332 + 1329. What is the nearest to 1\/19 in -5, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - 94\/(-18). Suppose 5*l = f*d, -d = l - 1 - 9. Suppose -j = l - 54. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**2 - 7927*g**2 + 7895*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-70)*27625\/(-3315)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 513\/4. Let r = -0.473 - -0.54. Let s = 0.047 - r. Which is the third biggest value? (a) -0.5 (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -15. Let s be (-16)\/l + (-3)\/(-9). Let g be s*1*7\/14. Which is the closest to g? (a) 0.2 (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v. Suppose -2*l + 5*q + 20 = -0*q, -4*l - 3*q - 12 = 0. Suppose l + 6 = 2*z. Let b(a) = 2*a**2 - z*a**2 - a**2. Give n(b(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/3)*n*(n\/((n\/n**(3\/2))\/n))\/n*n*(((n\/(n**(-2\/19)\/n*n))\/n)\/n)\/n**(1\/6) assuming n is positive.\nAnswer: n**(59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 400974 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l + 12. Suppose -4*f + 2 = -0*b - l*b, -3*f + 10 = 2*b. Suppose 2 + 0 - 6*j**b + 4*j**2 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - o)*(-6 - 1 + 3)*(-3*o**2 + 3 - 3).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41372 + -77372. Round u to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (2 - 1)\/(2 - 3). Solve 3*t - 7 = -2*u - 2*u, 0 = -h*u - 4*t + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11313 (base 6) to base 8\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269016249 > 269016250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*y - 437. Let t = 9 - y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10001011011?\nAnswer: -10001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-3)\/(189\/90)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159305 is divided by 79398?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120087.7 and 0.3.\nAnswer: -36026.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 1. Let r(f) = 42*f**2 + 38*f**2 + 4*f + 36*f**2 + 44*f**2 - 155*f**2 + 4. Determine -4*g(v) - r(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 344*x + 0*x**3 + 3*x**3 - 331*x - 2*x**3 - 2*x**4 to i*x**3 + t + v*x + n*x**2 + o*x**4 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111010100000 (base 2) to base 10.\nAnswer: 16032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9477.84549 + -0.45\nAnswer: 9477.39549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b + 41*b - 2418397 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1940 - 12652 = -16*w. Is 38 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-210)*6)\/((3\/(-45))\/((-156)\/(-72))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 7\/6*d**3 - 8*d**2 + 20*d + 0. Calculate the remainder when m(9) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1895*s - 5*s**2 + 8*s**2 + 1990*s + 1.\nAnswer: 3*s**2 + 95*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 1, n: 2, c: 4}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7612 divided by 692.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (306\/12)\/(((140\/(-110))\/(-7))\/(16\/44)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(21))\/sqrt(7).\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 10 = 23*h - 18*h, -4*h + k = 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7280*k**2 + 7280*k**2 - 5*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o + 0 - 1\/3*o**4 + 1\/3*o**3 + 2*o**2 + 1\/20*o**5. Let i be ((-58)\/(580\/(-75)))\/(5\/2). Give z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 30408.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3098*m + 3087*m + 3037*m + 3092*m - 12321*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0 - 128\/15*g**6 - 7\/12*g**8 + 62\/15*g**7 + 4*g**2 + 32\/3*g**3 + 40\/3*g**4 - 8\/15*g**5 + 0*g. Find w such that b(w) = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3.8, 0.2, -1, -5, -0.5, -0.017?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414570 and 468.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, 46, -3, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + w + 1122 = -0*w. Calculate the highest common divisor of 18598 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + (7 + -5 + 16 - (-7 - -5))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**5\/60 - 5*t**3\/3 + 4. Let d(c) be the third derivative of u(c). Let b(p) = -11*p. Calculate d(b(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*z**4 - z**3 + 90*z**2 + 19*z - 351 wrt z.\nAnswer: -480*z**2 - 6*z + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -5, -13, 15 in descending order.\nAnswer: 15, 5, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlwnlwmnlmll. What is prob of picking 1 w and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-18 + 17). Let l(g) be the first derivative of -1 + 2\/5*g**5 - 1\/2*g**4 + 1\/3*g**6 + 0*g**2 + 0*g - s*g**3. Factor l(w).\nAnswer: 2*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.554 - -0.546. Let l = -36 + p. Which is the closest to l? (a) -5 (b) 9 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*j - 5 = 501*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 = -3*z - 1, 0 = 3*z - 4*l + 8. Suppose 2*w + 18 = 6. Let p(t) = -t**3 - 5*t**2 + 2*t - 2. Calculate the smallest common multiple of p(w) and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, y: 5, q: 1, s: 1, u: 1}. What is prob of picking 2 a and 2 y?\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 18 = 16. Suppose -d = -3*r - 2*d + 39, 2*d = -2*r + 30. Calculate the remainder when j is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:49 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1681 or -1\/200?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320687052.\nAnswer: 2, 6353, 51971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 9*u - 2. Let f be o(-4). Let n be 32\/3*27\/f. Suppose n = 2*y - 134. What is the remainder when y is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 730151?\nAnswer: -730157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/((-219450)\/1634) - 4\/14?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*b = 0, 3*h + 5 = -5*b + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/4 - (-7)\/28. Let z be (-3)\/30 - 6\/(-10). Which is the nearest to z? (a) v (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11316367.\nAnswer: 67, 168901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3226 is divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 6967438.\nAnswer: 41804628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1198 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -12*a**4 + 53140*a**3 - 58626232*a**2 - 452347792*a - 275493344 = 0.\nAnswer: -7, -2\/3, 2218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1263 - 4?\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -29*l. Let u(n) = 37*n. Calculate u(t(a)).\nAnswer: -1073*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 301, 600, 899, 1198?\n\"Answer: 299*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Suppose 3*b + i*b = 4*s + 72, -4*s - 120 = -5*b. Suppose -4*h = -132 - b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 12. Let j(t) = -t**2 - 6*t - 5. Let d be j(-5). Let n be a(d). Let p = 0 + n. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52903396289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(200)*1*-1 + sqrt(200)*-2 + 4 + sqrt(200))**2 - -1*sqrt(200)*-1*-5) + -5.\nAnswer: -110*sqrt(2) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14590026 and 3242228?\nAnswer: 29180052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6)\/(u**(-1\/4)\/u))\/((u*u**(1\/2))\/u*u*u**(5\/2)\/u*u))**(-2\/13) assuming u is positive.\nAnswer: u**(35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-4))\/(36\/(24\/4)). Let l = 0.3 - 0.7. Let r be (-13)\/(-3) + (-4)\/(-6) - 5. Which is the nearest to r? (a) -0.5 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 121583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110723*b**2 - 2*b + 55344*b**2 + 26*b + 55349*b**2 - 2*b.\nAnswer: -30*b**2 + 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 14*y + 7. Let v be s(7). Suppose -17 = -v*n + 81. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70349.96 centuries in months?\nAnswer: 84419952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.2, -0.5, 1, 4, -578?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22383 - -37558. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015154329 to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 1 = -28*i + f, 4*f + 4 = 6*i. Put -3, -0.05, -4\/3, i in decreasing order.\nAnswer: -0.05, -4\/3, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 5 - (-5 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1108, 3462, 7478, 13162, 20520?\n\"Answer: u**3 + 825*u**2 - 128*u + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 5*l - 4*l + 0*l + (4 - 4 + 3*l)*(-3 - 7 + 6).\nAnswer: -11*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.695414ml to litres.\nAnswer: 0.000695414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3096\/11 - 282. Let x = 0.299702 - -0.000298. Put -3, x, u in descending order.\nAnswer: x, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20764360, -20764358, -20764356, -20764354?\nAnswer: -20764352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h**2 - 12*h - 44. Let j(w) = -45*w**2 + 36*w + 137. Let r(l) = -2*j(l) - 7*o(l). Determine r(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 7*v + 1. Let z be s(-5). Let f be 102\/27 - 2\/z. Suppose f*j - 2*j = 100. Calculate the greatest common divisor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306\/7 less than 614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/(-2)*318\/(-63). Let x = -98 + y. What is the third biggest value in x, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by -3516.\nAnswer: -29\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v + 0*v**5 + 0 - 1\/4*v**4 + 1\/14*v**7 + 0*v**2 + 0*v**3 + 0*v**6. Find the third derivative of j(l) wrt l.\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2292*u**2 + 3109?\nAnswer: 4584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.309 - -0.4.\nAnswer: 28.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*c**2*d**2 - 4*c**2 + 1253*c + 297*d**2 + 206*d + 290 wrt d.\nAnswer: 80*c**2*d + 594*d + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 195*b**3*r**2 + 91*b**3*r - 17853*b**3 wrt r?\nAnswer: 390*b**3*r + 91*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.9109km to centimeters.\nAnswer: 3891090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29426 is divided by 1548?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 - 4*h. Let z(l) = -6*l**2 + 2*l. Suppose -188646*b - 460 = -188554*b. Let q be (-1)\/((-2)\/(-6))*1. What is b*z(u) + q*f(u)?\nAnswer: -3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (8 + -30 - (-31 - -32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from ttqqnbbqtyttuuuquqqu.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**5\/60 - p**3\/3 - 35*p**2 - 122. Let c(t) be the second derivative of b(t). Give c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 3*f + 20. Let c be t(3). Suppose -5*s - 2132 = v, -5*s + 556 = -c*v + 2697. Let i = -156 - s. List the prime factors of i.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/119, 2, 4, 0.1, 3.\nAnswer: 1\/119, 0.1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeog when four letters picked without replacement from {e: 4, o: 1, g: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 31 - 41 = -5*t, -4*t + 66 = -5*m. Let h = t + -2. What is the highest common factor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*j = -2 + 853, 5*z - 1427 = -2*j. Let t be ((-20)\/(-6))\/(10\/z). Calculate the greatest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*r = 77, -162*q + 164*q - 2*r = 38. Solve 24*n - 28 = q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854250 divided by -5025.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 31 - 12 - 11 + 11 - 19*r**2.\nAnswer: -19*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0, -0.034, 9, -0.1?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2171190 is divided by 8448.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3721 by -121.\nAnswer: 3721\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, -14294, 4, 12.\nAnswer: -14294, -5, 0, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000161574042 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/4 (b) -281 (c) -0.2 (d) -51 (e) 1451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*z - 103 + 390, -4*z + 1387 = 5*o. What is the units digit of (-24)\/36*(1 + -7) + o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 6*f - 6*f)*(4 + 1 - 3) + 82*f**3 - 19 + 19 + f**3 + 2*f**3 + 6*f**3.\nAnswer: 93*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-2 - 1))\/(4 - 3). Suppose 0 = -f*a, i = -4*i - 3*a + 3850. List the prime factors of i.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8061.\nAnswer: 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 179251, 179261, 179273, 179287?\n\"Answer: m**2 + 7*m + 179243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15952112 by -68464.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -870269 - 0.000195\nAnswer: -870269.000195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**4\/4 + j**2 + j + 10. List the prime factors of x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, 0.5, -1, -0.04.\nAnswer: -1, -0.37, -0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 23, 1\/4, 2\/11, -12, 3, -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 86595*v**2 + 86498*v**2 - v + 1 to the form q*v + a*v**2 + d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*x + 83*x + 2058 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 9. Let t(u) = -11*u + 5*u + 3 - 3 - u**2. Let a be t(-7). Is 12 a factor of s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-13)*8\/(-36)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/((m\/(m\/(m*m\/(m\/m**10))))\/m)))\/m**(-1\/4))\/((m\/(m*m**(-10)))\/(m*m**5)))**(-30) assuming m is positive.\nAnswer: m**(-375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9875633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q - 8*p + 32 = -53*q, -5*p = q - 2 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a**(8\/7)\/a)*a*a)\/a)*a)**(5\/7)*a**(-8)\/a**(1\/6) assuming a is positive.\nAnswer: a**(-2371\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8905 rounded to 1 decimal place?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - 5*v - 4. Let j = -23 - -40. Suppose 3*g + 8 = r, 0 = -g - 3*g - 5*r - j. Let m be y(g). What is the greatest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/3, 10, -50?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d - 6. Is h(-3) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13.1 times -6.97\nAnswer: 91.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 19*n**3\/6 - n**2 + 1604*n. Calculate f(-4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -460 + 176?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 6*i + 3. Let o = -22 + 32. Let y be 24\/(-10) + (-6)\/o. Let p be (-2)\/y - (-102)\/(-18). What is c(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -29. Solve -i - d = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 8 + 74*b - 78*b.\nAnswer: -4*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4.011. Round f to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 2*d - 152. What are the prime factors of d?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169986310, 169986307, 169986304, 169986301, 169986298, 169986295?\nAnswer: 169986292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:08 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*o + 0 - 312*o**2 + 5 - 3 + 212*o**2 as x*o + d*o**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*q + 535968 + 469421 = -564201. Is 88 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-114))\/(1\/4)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21044 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*p + 35, -p - 10 = p - 5*o. Solve 5*u - 2*u - 4 = -j, p*u - 25 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33996448?\nAnswer: 2, 941, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 10*j**2 - 10*j - 96. Determine q(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -185. Let x = b + 129. What is the highest common divisor of x and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u - 5. Let c be 1\/2 + 3510\/52. Let q = c + -73. Calculate t(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1916 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m - 6. Let s(y) = y**2 + 5*y + 6. Let n = 5650 + -5655. Let k(z) = -2*z**2 + 21*z - 7 - 27*z - z**2 + 2*z**2. Calculate m*s(b) + n*k(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -6, 1, 0, 69 in descending order.\nAnswer: 69, 1, 0, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/17 + 16600\/3400.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac (base 13) to base 15.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = -120. Let z = q + -73\/3. Is z less than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26156 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: Let r(o) = o**3 + 32*o**2 + 244*o - 1. Calculate r(-19).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 421 - 418 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*j - 4*h, 3*h = -12. Let w be (-210)\/9*j\/(-5). Is w - (-2 + (-4)\/(-1)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 204*y + 1615. Determine c(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/(-1) - (16 + 368\/(-23)). Let o = -1 - 0. Which is the nearest to w? (a) -5 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/27)\/((-4)\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 63. Suppose 13*m - w*m - 513000 = 0. What is m rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78059296, 156118596, 234177898, 312237202, 390296508, 468355816?\n\"Answer: a**2 + 78059297*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(36)\/(1*sqrt(108)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -238f?\nAnswer: -2392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8152*a - 831507. Give i(102).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let g = -8 - -6. Suppose 0*q = q - 10. Calculate the remainder when q is divided by n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -868 + 2530. Suppose 9*b + l = 12*b. What are the prime factors of b?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88544.3ns to microseconds.\nAnswer: 88.5443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2082, 2019, 1908, 1743, 1518, 1227, 864?\n\"Answer: -a**3 - 18*a**2 - 2*a + 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g**2. Suppose 0 = b + 2. Let l be 51\/b*18\/(-27). Let k(c) = c - 8*c + l*c - 8*c. Calculate k(p(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*l - 128 = -0*i, -2*i - 62 = -2*l. Let g = i + 31. Let c be (g\/(-8))\/(15\/(-12)). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 2*x - 9, 26 = 4*w - 3*x. Let r(p) = -p**3 + 7*p**2 - 6*p - 16. Let v be r(w). Solve 3*y - 20 = 5*c, 4*c + 9*y + 16 = v*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/6257 + -28075195\/25028. Let k = -49141\/44 - b. Calculate the common denominator of k and -20\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19340360, -77361441, -174063244, -309445769?\nAnswer: -483509016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 + 188. What is the remainder when l is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 13*d - 113460 = 0. Let a be d\/(-5816) + 16 + -11. Let g = -1\/727 + a. Calculate the common denominator of 9\/11 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6. Suppose -s = -4*s. Let c be y(s). Solve -4*l + c*l + 2 = -r, -5*r - 19 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 + u**2 - u - 1. Let s = -14 - -13. Calculate n(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 147\/5671?\nAnswer: 147\/5671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1034*w - 1042*w + 2101*w)*(w**3 + 0*w**2 + 0*w**2).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 74 = -3*c + p, 4*p = 20. Let q = -33 - c. Solve q = -j - 5, 3*j - 10 = 5*n - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 131255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1658 - 1656. Suppose -4*n + 24 = t - 26, -50 = -2*t + 2*n. Let k be (-28)\/t + (-2)\/(-6). Sort j, k, -0.1 in descending order.\nAnswer: j, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15500132*i**2 + i + 139348755.\nAnswer: -31000264*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5755 divide 191123550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j**2 - 201*j + 30 = 0 for j.\nAnswer: 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995701064 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 961975 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1312920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0 - 0)\/(-2)*-3. Which is the second smallest value? (a) -0.2 (b) 2 (c) 0 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/t**(-1\/3))\/((t*(t\/(t\/(t\/(((t*t\/t**3)\/t*t*t)\/t)))*t)\/t)\/(t*t**(-3\/7))))**(1\/11) assuming t is positive.\nAnswer: t**(-2\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.025 take away 2151.5?\nAnswer: -2190.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -103, -238, -427, -670, -967, -1318?\nAnswer: -1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 0 - (2382 + -2361)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:27 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 142768?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13132 (base 7) to base 4\nAnswer: 312232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab45 (base 15) in base 12?\nAnswer: -19002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**3 + 21*a**3 + 0*a**3 + 4*a**3 + a**3 - 3*a**3.\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1030110200?\nAnswer: -1030110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.63 in -2, -4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1941052 (base 10) to base 14\nAnswer: -387548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/72 and -77\/1500?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -21378.07?\nAnswer: -17102.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80194757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2451192859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from {g: 1, x: 7, b: 5}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - ((-5 + 11 - 5) + (-4 - 3) + 5).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152970 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1216) + 2 - sqrt(1216))**2 + sqrt(1216) + -1 + sqrt(1216) + sqrt(931) + 1.\nAnswer: -137*sqrt(19) + 30404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 0*i + i)*(1 - 3 + 1)*(-29*i + 8*i - 16*i) in the form b + k*i**2 + p*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/18 and -113\/798.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.51 (c) -5 (d) -0.2 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - h**2 + 9 - h**3 + h - 3*h**2 + 5*h. Let b be z(-6). Solve -o = 5*w + 26, 4*o = -3*w - b - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 5. Let l be i(4). Let g(c) = -2*c + 3. Let j(v) = 4*v - 6. Let d(z) = -5*g(z) - 3*j(z). Determine d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**2 + 31*n + 11. Let w be h(8). Do w and -251 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 + 115. Let s = 109 - w. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -274, -607, -1072, -1669, -2398?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 + 8*h**2 - 61*h + 30. Let j(o) = 4*o**3 + 9*o**2 - 60*o + 36. Calculate -4*j(y) + 5*w(y).\nAnswer: -y**3 + 4*y**2 - 65*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2 = -2*n. Let c = 7.86 - 0.26. Let a = 8 - c. Sort -1\/2, a, n in decreasing order.\nAnswer: n, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162\/27 less than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 + 4*z - 4. Let i(l) = 13*l**2 + 9*l - 9. Suppose 0 = -67*k + 747*k + 3400. Calculate k*x(u) + 2*i(u).\nAnswer: -4*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0358, 2\/7, -2\/9, 0.189.\nAnswer: -2\/9, -0.0358, 0.189, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.063, -1\/2, -12, -1?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6177874.\nAnswer: 2, 593, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.950647 tonnes to micrograms.\nAnswer: 6950647000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 81*t. Let f(v) = -4*v**2 + 3*v + 3. Let i(a) = 9*a**2 - 7*a - 7. Let h(u) = 14*f(u) + 6*i(u). Give h(c(s)).\nAnswer: -13122*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48231 and 932?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2701 - 621. Does 65 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -137, -399, -781, -1283, -1905, -2647, -3509?\n\"Answer: -60*h**2 - 82*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in microseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 1:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 38794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244*k**3*y**4 + 2*k**3*y**2 - 1750*k**3*y wrt y.\nAnswer: 2928*k**3*y**2 + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5415601385?\nAnswer: 5, 37, 29273521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/51*24*(-3)\/((-18)\/12) - 4.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*k + 590, 10*k - y + 589 = 13*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (0 - -2) - -6. Let b = 6 + c. Let j = -3 + b. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6096767)\/(-445) - 2\/(-5).\nAnswer: 3, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, -5, -2 in ascending order.\nAnswer: -26, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9830\/50 + 4\/10. Let i = y - 198. Put 0, i, -4, 2 in ascending order.\nAnswer: -4, i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/21)\/(4\/12*-1). What is the nearest to -9 in 0.5, -0.3, 0.4, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151.81 + -153. Let r = m + 0.55. Round r to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 h when four letters picked without replacement from oohhhhhhfhhohoohoo.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 56 + 96 = 0. Suppose 5*c + f = 13. Let p = 0 - c. Sort -4, p, 3.\nAnswer: -4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62996, -4, 6 in decreasing order.\nAnswer: 6, -4, -62996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = -2*z, -2*v = 2*v + z - 18. Suppose -v*u = -20 + 30. Let w(s) = -s**3 + 7*s**2 - s + 4. Let h be w(7). Which is greater: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*j**2*s**3 - j**2*s**2 - 4855*j**2 - 600*s**6 wrt s.\nAnswer: -1056*j**2 - 72000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44616 divided by -3718.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxx when four letters picked without replacement from cxccxxxxxxxxxxx.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 71*v - 454. Let u be j(-6). Let z(f) = f**3 - 6*f**2 - 9*f - 3. Give z(u).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*100\/180)\/((-17)\/(-51))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12942427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22156632 rounded to the nearest 10000?\nAnswer: -22160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200745 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/31 (b) -2\/35 (c) -5 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**5\/30 - 3*n**4\/8 + 3*n**3 + 2*n**2 + 2*n. Let h be l(-6). Is h < -2\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 2*w**2 - 5*w - 3. Let b(q) = -3*q - 1. Let o be b(1). Let g(m) = m**2 + 5*m + 1. Let c be g(o). Determine s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 5*c**8\/1176 - 2*c**7\/735 - c**6\/42 + 2*c**5\/105 + 5*c**4\/84 - 2*c**3\/21 + 2*c**2. Determine q, given that o(q) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - w. Let l be m(-1). Suppose l = n + 4*n - 10. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -6 + 14. Let v = x - 3. Suppose h - 1 = 0, v*y + 2*h + 0*h - 72 = 0. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*v - v - 543, -4*j - 4*v + 1084 = 0. Suppose 9*o - 1757 = -j. Suppose 5*z = -0*z + o. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.00136 kilograms in milligrams?\nAnswer: 13001360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = 3, -4*x - z = 35. Is ((-2)\/(-3) - 1)*(-431 - x) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*h - 0*s - 4, s = 4*h. Let n(a) = 11*a**2 + a - 3. Let p(q) = -5*q**2 + 4*q**2 + 2*q**2 + 1 - 2. Let x(t) = h*n(t) - 4*p(t). Determine x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 7 + -2 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*z**4 + 36*z + 27*z - 20*z**3 - 6*z**5 + z**5 - 63*z.\nAnswer: -5*z**3*(z - 4)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.7, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390965851?\nAnswer: 4021, 97231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/347136 and 17\/48.\nAnswer: 347136","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/198 and 74\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3209 times -7?\nAnswer: -22463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -317 + 267 + -1 + 0 + -3 - 78\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1011303?\nAnswer: -1011300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3 + 0*w**2 - 4\/3*w**3 + 4*w. What is the derivative of z(u) wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 402 and 5845482?\nAnswer: 5845482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(55)\/sqrt(5)))**2*5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6473773 to 2 decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 4. Let p(h) = -h + 9. Let q be p(r). Suppose 3*y + 2*n = 12, 0*y = q*y - 2*n + 2. Solve 3*g - 12 = -5*f, -y = 5*g + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/(-8) - (-2)\/8. Let g be 2\/r - 2\/(-6). Let m be (4*(-2)\/(-9))\/(-25*(-88)\/9900). Solve g*j - 4*j = l - m, -j = -l + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190784 is divided by 135?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 16 = 9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18053 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + -10 - (2 + (-2)\/2). Let m = -10 + 3. Let t = m + 6. Sort t, 5, q in decreasing order.\nAnswer: 5, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**9\/15120 - j**7\/1260 + j**4\/4 + j. Let z(p) be the third derivative of w(p). What is the third derivative of z(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1.2. Suppose -25*l - 718 = -1293. Which is the third smallest value? (a) j (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:58 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99\/625 - 73\/1250. Let l be 6\/(-33) + (-48)\/99. Which is the nearest to 1? (a) -27 (b) l (c) o (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4402 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 29*k = 6*k - 2431 + 2227, -2*k - 33 = -x for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.036 + -0.022. What is k rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 - 4*u. Suppose -4*j + 16 = f - 0, 0 = -5*f. Suppose 11 = -j*h + 147. What is the remainder when h is divided by i(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319395 rounded to the nearest one thousand?\nAnswer: 4319000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f = -40. Suppose -7*z + 0 = 14. Which is the closest to -1? (a) f (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*y + 19. Let l be 8\/28 + 47\/7. Let c be 28\/l*(-4)\/(-2). Solve 2*g - c = y*g + 3*r, 5 = 2*g - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -738 + 1125. Is s a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 61*n - 51. Give t(-31).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(5 + (-15)\/6). Suppose -v = -q*v + 3*d + 572, -2*v = -d - 288. What is the remainder when v is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -42*x**5 - x**4\/2 - 28*x**3\/3 + x + 360. What is the third derivative of v(o) wrt o?\nAnswer: -5040*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 217, 503, 901, 1411?\n\"Answer: 56*q**2 + 6*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 1 y when three letters picked without replacement from {y: 3, j: 5, l: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44874, 89796, 134706, 179604, 224490, 269364, 314226?\n\"Answer: -6*z**2 + 44940*z - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y - 1972 = -4387 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53750, 107521, 161292?\n\"Answer: 53771*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2962, 5945, 8928, 11911, 14894, 17877?\n\"Answer: 2983*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6688 and -37\/2432.\nAnswer: 26752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a factor of 199052516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 17 (b) 0.3 (c) -1\/3 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -596*m**5 - m + 600?\nAnswer: -11920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 59966.929 to the nearest one hundred.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixteen fifteenths of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -300. What are the prime factors of f?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/550 and 61\/385.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204461100 is divided by 51115272.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 bigger than -1\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -188, -376, -564?\n\"Answer: -188*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/((180\/2)\/6*144\/(-480)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0.0121, -2, 44.\nAnswer: -2, -1, 0.0121, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425499577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/905 and (7 + (-154)\/49)\/(35\/(-14))?\nAnswer: 6335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11562 - 12278. Suppose 2*z = 5*y + 3443, -2*z + 7*z + 3*y - 8530 = 0. Let r = z + f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -404?\nAnswer: -161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 - 4 = 0. Suppose -o*w = 14 - 144. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 6\/(-10))\/(270\/675)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451531 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3299400, -3299408, -3299420, -3299436?\nAnswer: -3299456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*4*6 + sqrt(200) - (sqrt(200) + 4*sqrt(200) + 4))**2 + 0 + sqrt(100)\/sqrt(50) + -4.\nAnswer: -1599*sqrt(2) + 80012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1012101011 (base 3) to base 12\nAnswer: 117aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 4104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25074444 divided by -2?\nAnswer: 12537222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 112b0 (base 15) in base 4?\nAnswer: 31111113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 8*f**2 - f**3 - 3*f**2 + 2*f**3 - 12 - f**2. Let w be n(12). Which is greater: 2\/9 or w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108690*c**5 - c**2 + 1490*c - 116?\nAnswer: -2173800*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/9 and 149\/135606.\nAnswer: 406818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 648 - 5524*s - s**2 + 5524*s as k*s + d + i*s**2 and give d.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -17, -5, 64, 4 in increasing order.\nAnswer: -21, -17, -5, -4, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*s**2 - 624*s**2 - s + 1 + 0*s.\nAnswer: -560*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -877*n - 874*n + 5*n**3 - 2361*n.\nAnswer: 5*n**3 - 4112*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m - 1. Let d be y(-2). Suppose 4*q - 49 = d. Calculate the greatest common factor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.416 + 1.584. Let w be (-6 - -7 - -1) + 2 + 2. Which is the nearest to w? (a) -0.3 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 59*b + 18. Let p(v) = v**2 - 88*v + 23. Let j(k) = -7*i(k) + 5*p(k). What is j(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9. Let o(w) = 1. Let b(h) = -3*o(h) + x(h). Let v(g) = g. Suppose 4*z - 9 = -0*z - s, 4*s - 15 = 5*z. Let c(d) = z*v(d) + b(d). Give c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 122 = 5*q - q, 0 = -q + 2*r + 26. Let g(k) = 11*k**3 - k**2 - 4*k - 6. Let m be g(3). What is the highest common divisor of q and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*d + 9, -5*d + 10 = l - 0*l. Sort -4, 0, -2, d in ascending order.\nAnswer: -4, -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 5 + f + 4 + (2 + 3 - 2)*(-5*f + 4*f + 0*f) - f + 0*f - f + (2 - 4 + 3)*(-17*f + 6*f - 13*f) as s*f + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 35\/2*x - 37\/2*x**2 + 1 = 0.\nAnswer: -2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11683 is divided by 1318.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyzzyzyzyzzyzzyzzy. What is prob of sequence yy?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1358821692 and 25.\nAnswer: -1358821667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*v + 3*g, -2*v + g + 15 = -48. Let t = v + -63\/2. Put -0.3, t, 1\/3 in increasing order.\nAnswer: t, -0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 387 = p, 0 = -4*m - 9 - 11. What are the prime factors of (-9)\/(-2)*p\/42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 11:42 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -81 + 1\/12*l**4 - 96*l + 16*l**2 + 22\/9*l**3. What is i in j(i) = 0?\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5962\/3 not equal to -1987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*h + h - 93, 4*u = -4*h - 92. Let x = 57 + h. Calculate the remainder when x is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8185 or -2013449\/246?\nAnswer: -8185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28469 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-228 - -2)*(-28)\/616?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 39 = -8*o. Are 13 and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26306761 times -0.9\nAnswer: -23676084.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2270 and 6129.\nAnswer: 61290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/75)\/((-130)\/105 - (-20)\/35).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/1)\/((-72)\/16)*102. Suppose 46*u - c = 12*u. Let q(y) = 9*y**2 + 4*y + 3. Let g be q(-2). Solve u*k - g = 5*s, 0 = 5*k - 2*s - s - 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7701*k - 6 - 2558*k + 6 + 10315*k)*(-1 - 2 + 2) to f + l*k and give l.\nAnswer: -15458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.4 and 563?\nAnswer: 3040.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-25)\/1 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 159?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = -g, -s - 4 = s. Let c be (8\/(-2))\/(2\/4). Let i = c + 20. What is the greatest common factor of g and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5492, 14380, 23270, 32162, 41056?\n\"Answer: w**2 + 8885*w - 3394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*3*(-2)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2) + 1)*1 - sqrt(2))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6750, 6873, 7078, 7365, 7734, 8185, 8718?\nAnswer: 9333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 200 = 2*z, 0*z - 2*z = -2*b - 188. What is the greatest common divisor of z and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*f + 5*a - 20, -20 = -6*f - 4*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -534 - -538. Put 3\/5, -5, w, 1\/5 in descending order.\nAnswer: w, 3\/5, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260749 is divided by 4669.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*j + 17 - 56*j + 127*j + 22 - j**2 - 63*j.\nAnswer: -j**2 - 56*j + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:19 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 66 + -14 + (1 - (-4 + 0)) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*u + 146, 0*n = 2*n - 5*u - 43. Let b = n + -31. Find the third derivative of -2*x**3 + 7*x**b - 5*x**3 - 5*x**3 - 12*x**2 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {j: 1, b: 1, i: 4, u: 2, v: 6, f: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -5 + (-1*sqrt(18) - sqrt(2)))*4)**2.\nAnswer: 1280*sqrt(2) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17015 + -11626. Suppose -4*u - 5*z = -4301, 0 = -5*u - 13*z + 11*z + o. What are the prime factors of u?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.7*-12\nAnswer: 428.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -78 * 3\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-6) - 2\/6. Suppose 10*j - 4*k - 16 = 6*j, 4 = -3*j - 5*k. Let g = j + l. Solve g*d + 3 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*l + 7, 0 = -2*k - l + 6 - 1. Solve 0 = w + k*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51097 to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 969*k - 6771. Let y = 2 + -2. What is the remainder when 3*(y - 29\/(-3)) is divided by v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32334 divided by 3\nAnswer: 10778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5168 + -831. Suppose 6*m - c = 4447. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6124, -18411, -38898, -67591, -104496, -149619?\n\"Answer: -s**3 - 4094*s**2 + 2*s - 2031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/27 and 55\/4671.\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 24325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {o: 2, l: 7, m: 6}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**2\/2 - 1312. Let y(a) = -1174*a - 4. What is i(y(v))?\nAnswer: 1174*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -12, -4, 166\/7, -0.5, -1\/4, 5\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.3 (b) 3\/4 (c) -5 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2 - 1 + h + 9*h**2 - 10*h**2 - h**3. Let y(d) = 5*d**3 + 7*d**2 - 2*d - 3. Let k(p) = -6*g(p) - y(p). Determine k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62465292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-2)*3\/(1\/((-40)\/60))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 4*x + 9. Let g be k(7). Suppose -5*f + g = -15. Suppose 5*h - 110 = 2*r, 4*h + f = 2*r + 95. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 4. Suppose -4*t - 27 = -3*r, -r + 7 = -t - 0*r. Let m be a(t). Is (1\/m)\/(3\/(-24)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 632 + -632. Let m(u) be the third derivative of 0*u + g*u**5 + 5\/24*u**4 + 0 - 1\/20*u**6 + 0*u**3 - 2*u**2. What is the second derivative of m(h) wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from andnaaddnrn. Give prob of sequence na.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 10*o**2 - 10*o - 24. Let h be i(7). Let g(v) = h - 7*v - 53. Let m(c) = 23 - 2*c**2 - 17 - 6. What is g(m(l))?\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12988 and 281343.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5791457 to the power of 1\/2, to the nearest integer?\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 4*r**2 + 4*r - 4. What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/13 + 344*q**2\/13 - 15130*q\/13 + 28900\/13 = 0. Calculate q.\nAnswer: 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/6 - 7*a**2\/2 - 60*a. Let o(y) = -y - 8. Let r = -2407 - -2403. Give r*b(s) + 5*o(s).\nAnswer: -s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 13203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ab (base 16) in base 2?\nAnswer: -1110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 5\/9986303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**5\/60 + a**4\/3 + a**3\/2 - 27*a**2. Give u(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - o - 3. Let p be b(4). Let j(n) = n + 3*n + p + 5*n. Let q(f) = -4*f + 3*f - 3*f - 4. Determine 3*j(s) + 7*q(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**3\/7 - 54*m**2 + 1401*m\/7 + 1098 = 0.\nAnswer: -3, 7, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104309 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((437\/(-19))\/(-230))\/(0 - (-1 - 0))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 89 + 308*i - 128*i - 36*i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p - 8*p + 0*p + 15*p. Let t be (2\/(-6))\/(2\/(-18)). Let c(f) = t*f + 3*f + 6*f. Determine h(c(m)).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 13*j + 4. Let f be z(-13). Let p be f + (-3 - (1 + -5)). Let y = 98 - 86. Solve 0 = -p*u - 2 + y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 255\/15) + 2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = 5*i - 7, -5 = -i - n. Suppose -i*r + 89 = 23. What is the remainder when 43 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -739*n + 362 + 6 + 371 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/24 - 6*n**3 - 4*n**2 - 41*n. Let d(b) be the first derivative of m(b). What is the first derivative of d(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 25*m**3 + 435*m + 148*m**2 - 435*m + 20*m**3 + 11*m**3 = 0.\nAnswer: -37\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -0.9. Let x = -0.5 - -0.8. Let t = x - 0.6. Sort m, t, 2 in decreasing order.\nAnswer: 2, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**3 - 98*y**3 + 0*y**3)*(4 + 3 + 26 + 6).\nAnswer: -3471*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1418*k + 12124 - 1423*k - 12124.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3488 = -67*w + 2213 + 4223 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297.6120252 - -202.61199. Let v = q + 95. Round v to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Suppose 438*p - 704 = 350*p. Sort 4, 1, p, k in ascending order.\nAnswer: k, 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57665.083 + -134238.3. Let b = -76564.21699954 - g. Let f = -9 + b. Round f to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/10 - 1012\/(-10) is divided by (12 - 10)*1*13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f - 89. What is v(15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/4)\/(h\/h**(-3\/2))*h**(-2\/39)*((h**(-1\/30)\/h)\/h*h)\/h assuming h is positive.\nAnswer: h**(-1127\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179*a**4*b - 2780*a*b - 2*a wrt a?\nAnswer: -2148*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -852*w**4 - 480*w**3 + 24326896.\nAnswer: -3408*w**3 - 1440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 370 - 51 - 2*q**2 - q**2 + 9*q**2 - q**3 + 20*q**3 wrt q?\nAnswer: 57*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -19 - -11) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 65*z - 358. What is the units digit of r(33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/((t*t*t\/(t\/t**(-6)*t)*t*t*t)\/t))\/t*t)\/((t\/t**(-2\/17))\/t))\/((t*t**(-2\/13)*t)\/(t\/t**(-7))))**(-25) assuming t is positive.\nAnswer: t**(-55450\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9.2, -0.3, -0.22, 1, -0.4?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 266*y**3 + 980*y**3 - 216*y**3 + (-y**3 - 5 + 5)*(0 + 2 - 4).\nAnswer: 1032*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 8 = -t, t + 13 = 2*x. Let w = -1 + x. Solve 3*m + 0 = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 2 (b) -4 (c) -0.5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827 is divided by 861.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4722755054 to four decimal places.\nAnswer: 0.4723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310 divided by -2.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 16 = 4*p, -1 = p + 3*y + 4. Find the common denominator of 11 - p - 8 - (-190)\/12 and -145\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/45 and (5995\/180)\/(-11) + 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260*-2.4506\nAnswer: -637.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/49 and -64\/47847?\nAnswer: 2344503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 - 1822846*k**2 + 415345031040*k + 415346853888 = 0.\nAnswer: -1, 455712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) 0.2 (b) 0 (c) -0.2 (d) 59\/7 (e) 5\/423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 12*f + 30. Let c be j(10). What is the greatest common factor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-502.\nAnswer: 4016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 817.\nAnswer: 32\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -8029, -0.2, 8, 11 in descending order.\nAnswer: 11, 8, -0.2, -7, -8029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1539)*-5)**2 + sqrt(19) + ((sqrt(209)\/(sqrt(11)*-1))**2 - sqrt(19)) + sqrt(171) + (sqrt(171) - (sqrt(171) + (sqrt(171)*2)**2)) + sqrt(19).\nAnswer: 4*sqrt(19) + 345610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 1 + 6*f - 10*f**2 + 14*f**4 - 6*f + 12*f**2 to t*f**3 + p*f**4 + h*f**2 + s*f + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.77583 * 0.41.\nAnswer: 24.5080903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/35 and ((-5786)\/4648 - -1) + (-121)\/(-484).\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -50?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 25 = 26. Solve -3*t + y - 20 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f + 16. Let b be 10 + 3752\/(-420) + 4\/(-10). Sort 2, f, b, 4.\nAnswer: f, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*p + 13. Suppose 5*k + 5*i - p + 84 = 0, 0 = 5*k - 2*i + 40. Let s be 158\/4 + 5\/k. What is the greatest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -79, 1503, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-99)\/(-396))\/(7\/24))\/(((-10935)\/252)\/(-27))?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 67824 divided by 144\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 + 3. Let r = 1.8 + j. Let l = -2.63 - -1.63. What is the smallest value in 0, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000453172247 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:04 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78917033 and 706?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/1350 + 6\/45.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141635860 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18765317 times 0.09?\nAnswer: 1688878.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 940693195 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19340 + 7*b + 9670 + 9670 + 2*b**3.\nAnswer: 2*b**3 + 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 36 = -5*n - 29, -n = -3*y - 6. Put n, -1, 4 in decreasing order.\nAnswer: 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -76*y**2. Let p(q) = -2*q. What is p(i(d))?\nAnswer: 152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((-48)\/1008).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1922 + -959. What are the prime factors of o?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -78, 0 = 2*y - y - 1478*g + 1479*g - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdccfucvufcu. What is prob of picking 3 u?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2\/43, -4, -1\/4, 65\/7?\nAnswer: 65\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 13. Let h = k + -4. Let a = h + 4.000112. What is a rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -0.1 (c) -0.3 (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 961705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3798 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(0*t + 2*t + 0*t) + 4*t + 2 - t - t.\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 + 20 = 0. Let q(z) = -z + 11. Let n be q(v). Is (17 - 6)*(n + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 14*a + 44353. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21785657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*s = 228 + 552 - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 16, -4*d + 20 = 5*f - 2*f. Which is greater: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241173 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -248506147\nAnswer: 248506140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 88.\nAnswer: 17\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/25*(1 - -34791). Let l = r - -1392. Let h = 38\/275 - l. Which is the third smallest value? (a) 1\/8 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6376 (b) -13 (c) -3 (d) -0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 1100?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145391.137 + -145463. Let b = -0.563 - s. Round b to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**2 + 3283744*r + 673935916096 = 0?\nAnswer: -410468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35304587 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, n: 2, q: 11}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -12) + (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -121943 (b) 0.3 (c) -0.5 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 625*f**2. Let i(y) = 7*y**2. Determine w(i(k)).\nAnswer: 30625*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - -1633. What are the prime factors of s?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 41*u - 213. Let l be m(-9). Let j(v) = 18*v + 33 - 3*v**2 + v**2 + 4*v**2. Let p be j(l). Put 1, p, 0 in ascending order.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 6. Let q(c) = -3*c + 4. Let a be q(r). Suppose -2 = -2*f + 2*v, 0*f + v - 7 = 5*f. Sort f, 5, a.\nAnswer: a, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 79*q**3 + 3*q**2 + 2*q + 91. Is p(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*g + g - 89, 5*g = 4*b - 83. Solve -3*f + f - 2 = 4*r, 0 = 5*r - 4*f + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1635 and 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 - 3 = 2*a, 4 = -3*a - 2*m. Suppose 0 = -7*s - a + 203. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.77 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 13*a - 225 = 0, 0*c + 3*a + 25 = c - 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54716\/241 or -228?\nAnswer: -54716\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + f = 5 + 13, l + 9 = 4*f. Let h(z) = -19*z**3 - 11*z**2 - 10*z + 17. Is h(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 228 = -10*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 + 9 - 2)*1430\/858\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*r + 1435976 = -120*r - 129*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3997*g**2 - 4013*g**2 - 2 - 3994*g**2 + 16019*g**2 - 3993*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126474, 504601, 1134818, 2017131, 3151546, 4538069?\nAnswer: 6176706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = -p + 20, 3*p - a - 32 = 0. Let o be ((-42)\/8)\/((-3)\/p). Let g(i) = -43*i - 2. Let x be g(-2). What is the highest common factor of o and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 534*y - 16285. Give o(31).\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/17)*k**1*(k\/k**(-3\/7)*k)\/k**(-1\/4)*(k*k\/k**(3\/4)*k*k)\/(k\/((k**(4\/5)*k)\/k*k))*(k*k**(1\/8)*k)\/(k*k\/((k*k*k**1)\/k)) assuming k is positive.\nAnswer: k**(46343\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1786.6 + 4973.2. Round r to the nearest ten.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/889088 and -99\/39872?\nAnswer: 553901824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 - b)*(1 - 2 + 4) + (-2*b + 9*b + 5*b)*(45 + 79 - 21))*(0 - 1 + 2) to a*b + h and give a.\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8116, 65218, 220202, 522010, 1019584, 1761866?\nAnswer: 2797798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(3\/2)\/a)))**(1\/31)*((a\/(a*a*a\/(a\/(a*a**17*a*a))))\/a)\/a*a**(-4\/9)*a assuming a is positive.\nAnswer: a**(-12515\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*s + 34, 2*s + 34 = 2*g + 6. Let b(n) be the first derivative of -9\/2*n**2 - 14\/3*n**3 + 0*n + g. What is the second derivative of b(w) wrt w?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -17. Which is the biggest value? (a) -2\/7 (b) w (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 13 - (0 - 2) - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57017275 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323385?\nAnswer: 5, 7, 37811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 98810 = -5*o, 2*l - 15635 - 4115 = -o. List the prime factors of o.\nAnswer: 2, 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 2 (c) -50\/117 (d) -1.931 (e) 3\/7 (f) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94682 and 13080.\nAnswer: 619220280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 5*g - 4. Let o be z(-6). Let n(f) = -f**3 + f**2 + f + 5. Let l be n(0). Let b(x) = -3*x - 2 - x + l. Calculate b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 406, 822, 1244, 1672?\n\"Answer: 3*l**2 + 407*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = j + 4*r - 43, 2*j + 2*r = 94. What is the common denominator of 0 + 2 + j\/12 and 41\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 174.\nAnswer: -121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**17)\/l*l))\/l**(7\/5) assuming l is positive.\nAnswer: l**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -105, -143, -179, -213, -245?\n\"Answer: n**2 - 43*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j**2 + 6*j - 7. What is the tens digit of q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/3 + 0 + 1. Let h(c) = -6*c - c**y + 3*c + 3*c. Let k(b) = -b - b + 0*b. Give k(h(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13038 and 15396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.572 - -0.072. Which is the biggest value? (a) 0.07 (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -120?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2580, -5164, -7748, -10332?\nAnswer: -12916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -451, -449?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7 - 5 - 3 + f. Let t be z(5). Let i be t\/60*(-3)\/2. Is 1 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241 - 543. Let o = -204 - z. Let c = o + -35. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*u**3 + 473*u**3 - 14*u**2 + 14*u**2 - 916*u**3.\nAnswer: -55*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, i: 4, k: 4}. What is prob of picking 1 i and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 - (-12 + (-13 - -8)). Suppose -2 = v - 2*v. Let k(j) = -3 + 3*j**2 + 0 - v. Let c(w) = -2*w**2 + 3. What is b*c(d) + 3*k(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*i*t + 16*t - 6 with respect to i.\nAnswer: 151*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 203.11?\nAnswer: -101.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.79, 0.11, 1\/183?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - v + 31, 27 = 4*x - 2*v - 31. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2\/3. Which is the third biggest value? (a) -2\/9 (b) 2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 0.5 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*r - 214 = 0, -4*u + 0*r + 822 = -3*r. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*q = 9, 1 = -2*t - 3*q - 4. Solve 5*k = -t*h + 25, 5*h = 4*k + k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1274 and 539821191?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 175\/217932 and 61\/4?\nAnswer: 217932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -5 (c) 12\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 2. Let g be k(-3). Suppose 3*f = 2*f + g*m + 12, 5*f - m = 22. Solve 0 = -5*t - 4*a + 25, -2*t + 2 + 8 = -f*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.0535 + -0.0535. What is the biggest value in -2, k, 1\/7, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 241 - -415. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -614*r + 17*r**2 + 4*r**3 - 24*r**2 + 5*r**2 + 2*r**2 to the form z*r + n*r**2 + h*r**3 + g and give z.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259722027*l**5 - 303249755*l**2?\nAnswer: -15583321620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221406*m**2 - 3 + 14*m + 8 - 221409*m**2 to the form i*m + u + r*m**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972873543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = -29*b + 516. Let n(f) = -134*f**3 + 2 + b*f**3 - 2*f**2 + 2*f - 3. Let y(c) = 11*c**3 + 5*c**2 - 5*c + 2. Give 5*n(q) + 2*y(q).\nAnswer: -3*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000489568857 to seven dps.\nAnswer: -0.0004896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(((n*n**(16\/5))\/n)\/n*n)*n)\/(n*n**24))\/(((n**(-1\/3)\/n*n)\/n*n)\/(n*n**(-10\/7))) assuming n is positive.\nAnswer: n**(-2656\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 3*m**2 - 2*m. Give o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7683745 or -7683748?\nAnswer: -7683748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -132.18. What is the fourth biggest value in -4, z, 0.4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 287280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*v - 2, q - 5*v = -q - 2. Suppose q*s - 372 = 5*s. List the prime factors of s.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41002 + 42341?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/6000?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 2. Let c(d) = -4*d - 2. Let s = 25 + -3. Let q = s - 16. What is q*c(a) + 5*x(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**7\/135 - 23*t**6\/540 - 11*t**5\/135 + 2*t**4\/27 - 2823*t**2. Let c(y) = 0. Calculate y.\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 738 + -1128. Is -390 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/10 - (-14)\/35. Let r = 4 - d. Suppose -3*v + 2*v - 5*c + 22 = 0, 0 = -r*c + 6. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 5*p**2 - 3*p - 3. Let j(l) = 18*l**2 - 5*l - 13*l**2 + 0*l**2 - 4*l**2 + 4. Suppose 0 = -d + 5*d - 20. Let n be j(d). What is m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + 3. Let j = 15 + g. Let p = j + -33.99914. What is p rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34315, -137250, -308791, -548932, -857667, -1234990, -1680895?\nAnswer: -2195376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6270 + 2622 = 26*y. Calculate the remainder when 691 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)*w)\/((w**(-4\/5)*w)\/w)*(w\/((w\/(w\/w**(-2)))\/w*w*w))\/(w*w**2\/w)*(w**1*w)\/w*w*w\/w**4*w*w*(w**(2\/7))**(2\/23) assuming w is positive.\nAnswer: w**(2389\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.3 (c) 784 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4152931 is divided by 574.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s - 11. Let m be h(9). Suppose 4*z = -4, 0 = 3*b + z - m + 971. Let i = b - -520. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 1539?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-2))\/(10 + -7)*2*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7))**(-1) assuming r is positive.\nAnswer: r**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635 = -55*b + 729 + 685 + 2796 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (3 - 1 - -12 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12477 and 0.6?\nAnswer: -7486.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83739772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let f = l + -1.58. What is f rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b = -4. Suppose -b = -3*q + t, -2*q = 2*q - 4*t + 8. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 2. Let j(f) be the third derivative of -f**5\/60 - f**3\/6 + 28*f**2. Calculate -2*j(y) - s(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21345693.\nAnswer: 3, 17, 571, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 8*b**2 - 4*b + 31. Let v be z(-8). Suppose v - 93 = -15*d. Solve -u + d*h = -4, 0*h = u + h - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5154817 (base 10) to base 14.\nAnswer: 982813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 21*y**2 + 60*y**2 + 1 - 33*y**2. Let j be v(-1). Suppose 0 = j*h - 2*h. Solve -t + 6*t = h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -7, 3, 2, 773 in decreasing order.\nAnswer: 773, 3, 2, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440392963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u)*(u**2 - u**2 + 2*u**2 + (1 - 1 - 2)*(-u**2 + 3*u**2 - 3*u**2) + 2*u**2 - 6*u**2 + 5*u**2 - u + 2*u**2 + u).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 18. Suppose -4*d = f*l, l + 2*l + 2*d + 4 = 0. Find the common denominator of -13\/14 and 2\/(-8)*-405*l\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpyp when four letters picked without replacement from pyrybbrbbpbr?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 12*v**4 + 10*v**3 - 24*v**2.\nAnswer: 2*v**2*(v - 1)*(v + 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, b: 1}. What is prob of sequence bg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 12*k**2 + 13*k + 17. Let n be h(-13). Let z = 486 - n. Let o be z\/7 - (4 + 0). Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1754784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14414220454 - 0?\nAnswer: 14414220454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2. Let b = -64 - -77. Let n(w) be the first derivative of 10 + 2*w**3 - 19 + 16 + b. Give n(g(i)).\nAnswer: 96*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/33, -0.1, 5, -2.25, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggmm when four letters picked without replacement from ggmgmmgg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83050 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11 = 9. Let b(z) = -2 + c*z + 1 - 1. Determine b(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5957406 and 73\/756496?\nAnswer: 47659248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 11) in base 14?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4940)\/7904)\/(1460\/(-64)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.19724, 2\/51, -0.1?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d + 152. Let g(o) = -8*o - 302. Let y(a) = -3*g(a) - 5*p(a). What is the tens digit of y(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(104) + (sqrt(104) - sqrt(104)*2)))\/(sqrt(8) - (sqrt(8) + (2*sqrt(1152) - sqrt(1152)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/8)\/11*6\/1*172\/(-22360)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 5*f - 12. Let r be k(-7). Solve 4*l - r*w = -7*w - 4, 4*l + 4 = w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/4 + 89 + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 175*o**2 + 4*o**2.\nAnswer: -172*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -10, -34, -58, -82, -106?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 475597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 2)\/(-3)*1. Calculate the remainder when (18\/(-15))\/(117\/15 - 8) is divided by 10\/(4 - v - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50377124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622052, -1244108, -1866164, -2488220?\nAnswer: -3110276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954 a factor of 213717810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2 + 1 + 2*v + 1. Let c(f) = -f**2 - f + 1. Let u(k) = 5*k**2 + 10*k - 10. Let q(p) = 10*c(p) + u(p). What is q(z(r))?\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1174 - -1183. Calculate the smallest common multiple of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Let x(g) = 4*g**3 - 3*g**2 + 5*g - 4. Let k(q) = -q + 1. Let u(h) = -6*k(h) - x(h). What is the units digit of u(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:15 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-287 - -294) + -6 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68929*m**5 + m**4 - 33*m**3 - 2611*m**2 + 20*m + 1?\nAnswer: -4135740*m**2 + 24*m - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**4\/12 + 7*d**3\/6 - 4*d**2 + 1368*d. Determine g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-16)*(-14610)\/(-9))\/1. Suppose -w - u = -m - 343, -5*w = -15. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58372 (base 9) to base 8\nAnswer: -114041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/11 - 5055*j\/11 + 5056\/11 = 0?\nAnswer: -5056, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1031 * -26.6.\nAnswer: 2.74246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/12 + 7317*z**2. Let i(v) = 4 + 3*v**2 - 5 - 21*v**2. Determine o(i(q)).\nAnswer: -36*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*b + 662 = 176*b. Let q = 1040 - b. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Suppose 2*j = m*j - 10. Solve -c + 2*l = 2, -j*c + 0*l - 2*l + 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6204283 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 p when three letters picked without replacement from {p: 8, h: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*f - 5, 117*f = 112*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*p + 27 = t, -t - 3 = 2*p. Suppose 0 = 3*y - t*a + a - 45, 2*a - 74 = -4*y. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -9, 75, 235, 489, 855?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 490\/(-168) + -7 + 10?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1 - 8.1000318. What is u rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 3*q. Calculate t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 + -249.8. Let r = -253.97 - v. Round r to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6173913 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -851, -1703, -2555, -3407, -4259?\nAnswer: -5111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124087 (base 12) in base 6?\nAnswer: -10212251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w\/w**4)**(3\/10) assuming w is positive.\nAnswer: w**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/11 (b) 1829 (c) 604 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 + -80. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -10*j - 54, -737*m + 742*m = 3*j - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2736774*r + 1 + 3*r**2 + 13495046*r + 1224833*r.\nAnswer: 3*r**2 + 11983105*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (570\/(-2280))\/(54\/(-16)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -503 + 491. Let w(i) = -131*i + 383. Is 22 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-2)\/w)))**(2\/13)*(w*w**(1\/4)*w)**(5\/2) assuming w is positive.\nAnswer: w**(537\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = 11*k - 2760. Suppose 3*h + 2 = -c + 6, 3*h = 6. Is k smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*6\/(-27)*42\/(-70).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.438427 to 3 decimal places.\nAnswer: -5.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 830588 at most as big as 830588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(18\/6))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38520 divided by 360?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-414)\/92*4\/(-2). Suppose 10*x - m*x - 11 = 0. Solve 4*u - x = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120002 + 20212?\nAnswer: -22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0*k**3 + 0*k**4 - k + 1\/20*k**5 + 7\/60*k**6 + 0 + 0*k**2 - 1\/21*k**7. Factor m(w).\nAnswer: -w**3*(w - 2)*(4*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28533 + -28416. Calculate the greatest common divisor of 13806 and r.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.4 + -184.4. Let p = f - -66. Let l = 90.4 + p. What is l rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c - 3. Let s be f(-6). Suppose 4 = -u + s. Suppose -u*m = 4*r + 11, -4*r - 3*m = m + 8. Is r greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115+-2\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:38 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*p + 394563 = 2*o, -2*o + 3*p = -157828. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 6*u + 22 + 2*u)*(3 - 6 - 6*u + 4*u).\nAnswer: -16*u**2 - 20*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -47. Suppose -4*o + 105 = -3*s, -s = c*s + 15. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 216, 317, 418?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5 - 5*g + 4 + 3*g - 11. Let j be -1 + 1*(-9 + 2). Let y be u(j). Let z(b) = -4*b + 5. Give z(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 13*w**4\/12 - w**3\/3 + 4*w**2. Let u = 9 - 2. Let n be p(u). Calculate the highest common divisor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/2))**(2\/21)*(b*b**(-3\/2))**45)**(1\/13) assuming b is positive.\nAnswer: b**(-313\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(567\/6) - (-3597)\/(-63). Which is greater: -398\/7 or w?\nAnswer: -398\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.7, 15\/14 in decreasing order.\nAnswer: 4, 15\/14, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpzsp. Give prob of sequence zsp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 205*m - 60. Let h(o) = 5*o**2 + 204*o - 65. Give -12*h(a) + 13*i(a).\nAnswer: 5*a**2 + 217*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -320042343 (base 5) to base 8\nAnswer: -5047435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y. Suppose 2*n - 6 + 0 = y. Find the common denominator of 101\/2 and n\/(-15) - (-153)\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3977 - -4?\nAnswer: 397b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982 is divided by 990?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -2, -269, -33, -30, -5 in decreasing order.\nAnswer: 6, -2, -4, -5, -30, -33, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:12 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, -0.8, -2, -541?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598672 is divided by 63905.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 53*j = -240. Are 217\/57 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361107*t**3 + 51*t**2 - 1361160*t**3 - 4*t**2.\nAnswer: -53*t**3 + 47*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 15 + 52 + -4\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 - 35*v**4 + 90*v**3 - 110*v**2 + 65*v - 15.\nAnswer: 5*(v - 3)*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a factor of 61641446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1674, 3342, 5020, 6714, 8430, 10174, 11952, 13770?\n\"Answer: f**3 - f**2 + 1664*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Let g(w) = -19130*w. Give d(g(b)).\nAnswer: -731913800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/3)\/((-8)\/12). Let n = v + 26. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 396251487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = -1805*n + 1792*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2800, -2801, -2802, -2803?\n\"Answer: -n - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3030489 and -0.094.\nAnswer: 3030488.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1cb (base 14) to base 16\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6526)\/(-117) + (-4)\/(-18). What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768*p - 417*p - 15795 = 0. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22506190 by -26.\nAnswer: 11253095\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/27*3\/30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 1991840*s**2 + 3967422601917*s\/2 + 3967430569281.\nAnswer: (s - 1991841)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26222 or -26221?\nAnswer: -26221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Suppose 5*p + 4*n = -2804, -4*n - 2836 = u*p - 8*n. Is (-6)\/(-15) + p\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {b: 6, r: 2, l: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -50409258.3 rounded to the nearest one million?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -449*l + 5854. Give f(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhrv when four letters picked without replacement from {h: 3, n: 2, v: 2, r: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*k**3*o**3 - 25*f*k**3*o + 2*f*k**2*o**3 + 2*f*k*o**2 - 6*f + 12*k**3*o**3 + 23*o**3 wrt k.\nAnswer: 18*f*o**3 - 150*f*o + 72*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n - 96. Let l = 39 + n. What is the remainder when 29 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32247 is divided by 4729?\nAnswer: 3873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/20 + g**4\/4 - 7*g**3\/6 - 5*g**2\/2 - 2*g - 24. Calculate k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 18 = 7*h. Factor -2*a**2 - a**2 + 12*a**3 - 17*a**h - 2*a**2.\nAnswer: -5*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -7*p**5\/15 + 5*p**3\/6 - 39*p**2. Find the first derivative of a(c) wrt c.\nAnswer: -56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7*a - 3*a - 27, -5*w = 5*a - 60. Let j be 1\/a*(-102532)\/1552. Let o = -105\/388 + j. What is the common denominator of -87\/22 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1400*h**4 + 528*h**4 + 13*h + 510*h**4 wrt h.\nAnswer: -4344*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 66.3976 (c) -0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 19*p - 8*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/90 - a**3\/2 + a**2. Let o(l) be the first derivative of m(l). Let j(w) = 2*w. Determine j(o(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 9. Let k be v(-3). Let j be 9\/(-6) - 1\/k - -1. Put -31, -1, j in decreasing order.\nAnswer: j, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-936)\/96*(-3)\/(-9)*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 65 = 5*j + 192, j = 5*t - 329. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 57936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/2)\/(1\/(-2)). Let y = v - -2. Solve -y - 2 = 4*d - 5*h, -4*d = 5*h + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -5 (b) 0.05 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - 3 + 3 + (-2*x**3 - x**3 + 5*x**3)*(-2*x + x + 0*x) + 8 - 5*x**4 - 8 + 2 + x**4 - 2.\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -32. Let z be (28 - 28) + (0 - j). Let a = z + 18. Solve a*b = -2*x - 4, -4*x + b - 6*b - 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001111 + -101?\nAnswer: 1011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*u**3 - 7*u**3 - 9*u**3 + u**3 - 3*u**3 + u**3 + 1 - 1 - u**3 + (4 + 0 - 2)*(3 + 2*u**3 - 3) - u**3 - 3*u + 3*u - 39*u**3 + 56*u**3 + 50*u**3.\nAnswer: 69*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f + 3. What is u(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 12*h - 5*h - 7*h - 2*h**2.\nAnswer: -2*h**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 2 - -8 - 3. Let u = -817 + 816.6. What is the smallest value in u, x, -0.29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 47*l**2 + 2*l + 11. Let p be n(6). Solve 160*h**2 + 1054*h + 5*h**3 + p - 319*h - 55*h**2 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/45 - 91941\/(-2070). Let p = -120\/23 - z. Calculate the common denominator of p and 81\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -63, 4, 1117, 2 in descending order.\nAnswer: 1117, 11, 4, 2, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*v + 15 = -10, 4*r - 18 = 3*v. Put r, 35, 83 in decreasing order.\nAnswer: 83, 35, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**4 - 18*i**3 - 1413*i**2.\nAnswer: -120*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let n(l) = -5985 - 5966 - 4*l + 11973. What is a(n(g))?\nAnswer: -48*g**2 + 528*g - 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/5)\/(-4) - 2. Which is the closest to -1\/3? (a) 2 (b) l (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = d. Suppose c = -1, 3*c = a + 5*c - d. Suppose 22 = 2*t + a*h, t + 4 = -3*t + 4*h. Solve 3*i = -z - i + 10, -4*z + 14 = t*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169b1ac (base 15) in base 5?\nAnswer: 13202040022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 6950.98\nAnswer: 16682.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 (base 9) in base 7?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60171, 86446, 112721, 138996?\nAnswer: 165271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 2 - 2\/5*p**3 + 0*p**2 + 8\/5*p - 1\/10*p**4. Let n(z) = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 28865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/11 - 7464*z**4\/11 + 9387360*z**3\/11 - 4102984800*z**2\/11 + 156312828000*z\/11 = 0. What is z?\nAnswer: 0, 42, 1230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/8 + 3*o**2\/8 + 3*o\/8 + 1\/8.\nAnswer: (o + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 38*c**2 + 5*c**2 + 6*c**2 + 4*c**2 + 6*c**2 + 8*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 236. Let z be t(35). Solve -30*h - 8 = -z*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 307. Suppose -3*j - 77 = -4*p, -p + 5*j - 7*j = -22. Calculate the highest common factor of n and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 6*l**2 + 2*l**2 + 3*l**2)*(-1876 + 37*l + 1876) to the form y*l**3 + v*l**2 + r*l + m and give v.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-16)*0)\/1. Suppose i = -3*b + 115 - 1. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3714\/54 + (-4)\/(-18). Calculate the greatest common divisor of 46 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 208237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63134 - -63102) + (-25 - (1 - 2)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 70 = 3*d + 21, 3*q - 4*d = 12. Suppose 0 = -27*f + q*f. Let c = 310 + -4024\/13. Is f at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584550.\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q + 10*q**2 - q**3 - 4 + 2 + 9. Let n be h(8). Suppose 33 + n = 3*u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*s + 10, -37*f + 33*f + 2*s = 10. Solve f = -20*n + 16*n + 24 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66720 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 75589 (base 13) to base 15\nAnswer: 42b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -185, -282, -381, -482, -585?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w + 4*w. Calculate the common denominator of w\/2 - (-37)\/(-2) and 4\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 114, 112, 110?\n\"Answer: -2*k + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/23*5\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2977*w - 7 + 15 - 6)*(4 - 6 - 1) to g + i*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113.0135 + 112.2. Let s = -0.3586 - m. Let h = -0.44 + s. What is h rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78\/7 - 57\/7*x + 3*x**2.\nAnswer: 3*(x + 1)*(7*x - 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96470?\nAnswer: 2, 5, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 38*b - 200 = 0. Let h be (693\/(-114) + 7)*b\/(-10). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015506057 to six decimal places.\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -786, -77, 1132, 2853, 5098?\nAnswer: 7879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -19*v**5\/20 + 13*v**4\/12 + 7*v. What is the third derivative of d(x) wrt x?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*g*h**3 + 15*g*h**2*l*o - 109*g*h**2*o - 4*g*h*l*o - g*h*l + 22*h**3*l*o - 5*h**3*l - h**3 - 2 wrt h?\nAnswer: 246*g + 132*l*o - 30*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r - 6. Let w be o(8). Let n = w - 884\/9. What is the closest to 2\/3 in -1\/11, -2, n?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 4, -0.05, 9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.833 - 3.813. Sort 0.3, 1\/2, -3.8, d.\nAnswer: -3.8, d, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -875c9 (base 13) to base 15\nAnswer: -4c852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3 + 3. Solve -v + w + 3 = x, -2*v + 0*v - 3*w - 9 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48\/23 - -670\/299. What is the third biggest value in 1\/8, 1\/6, i, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.2, 0.08, 21, -5, -1\/26, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -835 - -838. Find the third derivative of -20*r**6 + 22*r**6 - 248*r**3 + 464*r**l + 234*r**2 wrt r.\nAnswer: 240*r**3 + 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 6755632.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 3) to base 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(68)*2*5)\/((6*sqrt(32))\/sqrt(2)).\nAnswer: -5*sqrt(17)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -13. Let j = -87 + 106. Calculate the remainder when j is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 + -120111?\nAnswer: -122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7317613 - 0?\nAnswer: 7317613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 265?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/7))\/(h**26\/h*h) assuming h is positive.\nAnswer: h**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*m - 16, 2 = 5*r - 5*m - 13. Suppose -2*d - 165 = -r*d. Let b = 103 - d. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/24 and 85\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -770 divided by 110\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9690447*s**3 + 111712*s**2 + 15*s?\nAnswer: -58142682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2 + 5 = 5*k, -3*f = 5*k - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 6*j - 11. Let v(i) = 2*i**2 - 3*i - 2*i**2 - 1 + i**2. Let q be v(5). Does 8 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvkvddv. Give prob of picking 2 k and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*c - c - 6*c)*(-1 + 1 + 2*c) - 4*c**2 - 2*c + 2*c)*(79*c + 59*c + 17*c).\nAnswer: -1240*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -712*c + 2832*c - 135*c**2 - 708*c + 1 - 714*c - 716*c to b*c + t*c**2 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + 0.52. Let f = -3.5 - b. Sort f, -0.1, -0.3.\nAnswer: f, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 212 and 6.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 34. Let j = -160 + 147. Let r(n) = 11*n + 1. What is the lowest common multiple of r(1) and z(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 46*u - 7. Let j be h(-1). Let a(z) = -21*z - 1. Let o be a(-3). Let s = o + j. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 + 3\/2*o**2 + 3*o.\nAnswer: 3*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + a - 1. Let o(t) = 6*t + 6*t - 11 - t + 10*t**2. What is 2*o(x) - 22*s(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-6)*(-28 - 0). Suppose -81*g + 1214 = -3322. What is the highest common factor of g and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 8*y**2 + 5*y - 16. Let q be h(-7). Let w(z) = 10*z**2 - 11*z - 11. Let n(o) = -o**2 + o + 1. Calculate q*w(f) - 22*n(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -231, -225, -219, -213, -207, -201?\n\"Answer: 6*s - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 9*s + 15. Calculate the smallest common multiple of 22 and m(-5).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -40. Suppose 12*l = f*l + 16. What is the remainder when 5 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3359063 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136636?\nAnswer: 2, 34159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -542.162 to the nearest integer.\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -w - 12, 5*w = 3*s + 2*s - 60. Let n be 4\/w*0 - -63. What are the prime factors of (n\/(-12))\/((-15)\/40)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31445.34 kilometers to millimeters.\nAnswer: 31445340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, -15, 4, -0.5, -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 128893 + -4a?\nAnswer: 128844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 146. Solve -r*z + 10 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let d(j) = j. Let p(y) = 2*d(y) - r(y). Let b(o) be the first derivative of o**3 - 5. What is b(p(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*u + 10116 = -3*u + 3*g + 10081, 0 = 38*u + g + 147 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17561.\nAnswer: 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3004 from -1.\nAnswer: -3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3028 + 3028.8. What is the closest to 0 in 3, k, 16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 732 divided by 107.\nAnswer: 732\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 59*n**2 - 2*n. Give o(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**2 - 7*s + 130. Let g(t) = 19*t**2 - 6*t + 133. Let d(z) = -3*g(z) + 4*n(z). Give d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.8 + 44.8. What is the third smallest value in j, 3, 2\/181?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4736.727 years to decades.\nAnswer: 473.6727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8300 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaasaaasa. Give prob of sequence aaaa.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 m, and 1 w when four letters picked without replacement from wywypwoywoooyym?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14*b**2 - 32*b + 614. Let l be s(-41). Round l to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - 115)*(-6)\/8*6\/9. Solve h*v - 168 = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -156. What is the smallest value in h, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 47 = -2*y, -y - 36*k - 34 = -40*k for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 186605+-25.859\nAnswer: 186579.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830170 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: Suppose 0 = 2*c - s - 4, 3*s - 8 = -4*c. Suppose -2*r = 4, 0 = -0*m - m - c*r + 22. Suppose -36 = -5*y - 11. Solve 2*t + t + 9 = -x, -2*x + y*t = -m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 4*s + 4. Let i(y) = 3*y**2 + 3*y + 3. Let c = -367 - -363. Give c*i(o) + 3*u(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7611 bigger than -7500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 - (5 + -3 + -10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 + 2*p. Let s(w) = 2*w**2 - 6*w - 6. Let v(y) = -m(y) + s(y). Calculate v(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4950112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-198)\/(-42) - (-2)\/7. Suppose -3*s = -a*d + 3*d - 33, 3*s + 3*d = 18. What is the least common multiple of s\/(-6)*(-44)\/6 and 29?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-4284)\/48))\/((-36)\/(-14)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*i**2 - 50*i = 0. Calculate i.\nAnswer: 0, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-135)*20\/(-8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a**2 - 5*a**2 + a**2)*((-2 + 2*a + 2)*(0*a + 2*a + 0*a) + 11*a**2 - 6*a**2 + 0*a**2) in the form f*a**2 + s + v*a**4 + d*a + r*a**3 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, 579 in increasing order.\nAnswer: -0.4, 0.3, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(50\/(-5)))\/((-275)\/(-4180)*19)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + g**2 - 2)*(0*g + 0*g + g) + 65*g**3 - 38*g**3 - 40*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaysqzjq. Give prob of sequence az.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 217014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23684072, -47368142, -71052214, -94736288, -118420364, -142104442?\nAnswer: -165788522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247989, -247970, -247937, -247884, -247805, -247694?\nAnswer: -247545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -395606 - 2192224. Let h = -107322 + a. Round h to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 85, 135?\n\"Answer: 50*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60\/17, -32, -2, 0, 2\/11 in ascending order.\nAnswer: -32, -2, 0, 2\/11, 60\/17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10110101100010?\nAnswer: 10110101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - h**2 + 1. Let b be u(-1). Let d be -1 + (-2 - -2) + -2. Let l = d + 4. Solve 0 = -m - b - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 802740 + -74407. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/133 (b) 4 (c) -3\/7 (d) 2\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a second in milliseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -103 - -2?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 6. Let c = l + 8. Suppose -19 = -c*r + 49. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353a (base 12) in base 11?\nAnswer: -451a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 44 + (11 - (-3 - 44\/33)*-5).\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2693, -2701, -2727, -2783, -2881?\n\"Answer: -2*u**3 + 3*u**2 - 3*u - 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -190. Let u = b + -116. Sort u, 3\/5, 1\/40 in increasing order.\nAnswer: 1\/40, 3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 622*(-4)\/72 - (40 + -31). Which is the smallest value? (a) -2\/7 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 45. Suppose 4*h - 308 = -a*o, 0*o - 3*o - h = -241. Is (o\/8)\/((-15)\/(-60)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 9. Let x = 1.526 - -0.474. What is the nearest to x in 3, 0.3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 139?\nAnswer: -5\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1065.789 - -1065. What is v rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**3 + d**2 - 3. Let q(r) = 4*r**3 - 4. Suppose 5*c + 8 = t, -2*t + 68*c = 64*c - 10. What is t*q(h) - 2*n(h)?\nAnswer: 2*h**3 - 2*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -10*a + 62. Suppose 0 = 3*x + 3*m - 3, -a*m = -8*m + 3. Suppose -12*q + 16*q - 1324 = x. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from sawwwbwb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -411, -537, -663, -789?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1. Let w(r) = 2*r**2 - 4*r + 455. What is -3*q(l) + w(l)?\nAnswer: 2*l**2 - l + 452","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5145 + 1456.7.\nAnswer: 1459.2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4078051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 25*i**2 + i + 21. Determine r(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 51. Let n = -15 + g. Let s(m) = m**2 + 7*m + 8. Let y be s(-6). Put -3, 0, n, y in ascending order.\nAnswer: n, -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -230. Let r = 125 + m. Which is the biggest value? (a) -0.3 (b) r (c) -6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n + 71. Let y be c(-21). Let b = y + 238. Which is bigger: 20 or b?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317811 divided by -8149?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:34 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 729048 and 214230?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/63 - 311*u**3\/63 - 155*u**2\/21 + 841*u. Solve h(v) = 0 for v.\nAnswer: -155, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637750 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 23*y**2 - 114*y + 3010. Calculate i(22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuudud. Give prob of picking 2 u.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11131031200 (base 4) to base 11.\nAnswer: -897725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3118283.\nAnswer: 7, 29, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320.28 - -320. Let q = -1.3 - -1.52. Let w = y + q. Put w, -2, -0.4 in descending order.\nAnswer: w, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 71733\nAnswer: -3\/23911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -334, -325, -312, -295, -274?\n\"Answer: 2*x**2 + 3*x - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcc when three letters picked without replacement from ccwcwwpccwpppp?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162950 is divided by 40456.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -0.1 (c) 0.4 (d) -0.046 (e) -197\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 5*g**2 - 7*g + 5. Let j = -5 - -9. Suppose -19 = -3*u - j. Let s(h) = -h**3 + 3*h**2 + 4*h - 3. Calculate u*s(k) + 3*c(k).\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10819260 divided by 10819260.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-60))\/((-3)\/(-15))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100011101110111010011?\nAnswer: -100011101110111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:03 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 30*x + 127. Let d be p(-5). Solve 0 = -23*q - d + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 70, 89, 104, 109?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 + 10*r + 2. Does 58 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 528392211*a**2. Let r(l) = 2*l**2. What is i(r(p))?\nAnswer: 2113568844*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q**2 - 26*q**2 + 82*q**2 - 29*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6 and 43\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 2466353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.4, 16, 8, 0, -27.\nAnswer: -27, -16, -0.4, 0, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(1 + (-2)\/6). Let g be (-15)\/5*4\/y. Let z be 6\/g - (-9)\/(-4). Which is the third smallest value? (a) 0 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 60 (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1272*r**2 - 11*r - 2. Let c be s(4). Suppose -c = 21*v - 43*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 4.948.\nAnswer: 14.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 2025?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/5)\/(6\/(-15)). Sort m, -30, -2 in ascending order.\nAnswer: -30, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - l**2 - 3*l**3 + l**3 + (11*l**2 - 20*l + 20*l)*(-2*l + 0*l + 3*l) + 4*l**3 + 0*l**3 - 2*l**3 as j + k*l**3 + u*l**2 + s*l and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188665 * -3.\nAnswer: 565995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -307320*c - 1843919. Give t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355955 is divided by 15476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5600 and 13009500?\nAnswer: 104076000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 + 6699*k**2 + 246523821*k - 2200224709079 = 0 for k.\nAnswer: -16439, 11569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1274 divide 3229929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i - i)*(-2 + 1 + 0).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -32, 2\/13, -3.5, -0.65?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {k: 6, y: 2, g: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m + 2. Let r(s) = -2*s**2 + 4*s**2 + 1927*s - 7*s**2 - 1927*s. Give v(r(f)).\nAnswer: -50*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363900 to the nearest 10000.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 2 + 2. Let t(d) be the first derivative of -d**2 - 5 + 3*d**2 - 25 + 4. Determine r(t(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.2. Let m = 1186\/9 - 132. Let q = 0.8 - 0.9. What is the closest to q in 2\/9, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -36. Suppose 2*w + d*g = -3*w + 20, -38 = -5*w + 4*g. Find the third derivative of -6*p**6 - 5*p**w - 8*p**2 + 2*p**2 - 4*p**2 wrt p.\nAnswer: -1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:00 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/3))**(-2\/59)*(s*s**(-1\/4)\/s)\/s*s*s**(7\/3)*s**(3\/2)*(s*s*s**(2\/19)*s)\/s*s**(-2\/5)\/(s**(2\/5)*s) assuming s is positive.\nAnswer: s**(257747\/67260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 833706645 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77.17077616 + -1.17071716. Let u = -250 - -174. Let z = c + u. What is z rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 436 = -5*l, 5*l = 3*d - 252 - 180. Let v = l - -152. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 0*l + 4 = 2*r, 0 = -l + 5*r - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 - 11*j + 28. What is the remainder when w(4) is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8 = -q. Let m = q - -1. Suppose -m*y - 14 = -4*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/640225 and -68\/75?\nAnswer: 1920675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21 - -5)\/(3\/(-6)*22\/(-33)). Let w(j) = 22*j - 1. Let h be w(-3). Let n = h - -146. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*h, 5*h - 5*a = -3*a + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.38774 - -16.01226. What is the closest to 0 in -1, i, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27779426*u**5 - 113111199*u wrt u?\nAnswer: -555588520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 + 22 = 0. Suppose -1076 = -101*r + 136. What is the lowest common multiple of y and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -68*i + 6488. Calculate m(100).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - -0.2. Let x = r - 1.3. Which is the smallest value? (a) 0 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47569, -95157, -142745, -190333, -237921?\n\"Answer: -47588*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36\/11? (a) -4 (b) -0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 489952453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 59 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 42440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 14*x - 24. Determine u(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84)*3 - sqrt(84))*-5)\/(sqrt(108) - (-3*sqrt(108) - sqrt(108))))**2*-3*-3 + -1.\nAnswer: 822\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*k + 6, -3*k - 5 = -f + 2*k. Suppose o = 3*o - 8. Suppose -10 = b + o*b. Put -3, b, f in ascending order.\nAnswer: f, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 - 10*i**2 + 5*i + 19. Let n(u) = -u**3 + 5*u**2 - 2*u - 9. Let x(j) = -2*a(j) - 5*n(j). Let q be x(-5). Solve -2 = o - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -291\/4 - -73. Put -5\/11, 2, y in descending order.\nAnswer: 2, y, -5\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 16*m - 29*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4575698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -1 - 21\/(-7). Suppose -3*x = -5*t + 410 - 41, 2*x + 150 = h*t. Suppose n - 5*n + t = 0. Calculate the remainder when 34 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -0*h + h. Let q = h + -17. Solve -q*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -8. Let h = 2 - o. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62354 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.7 (b) 2.78 (c) -0.5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38\/19)\/((-2)\/(-8)). Solve -r - 5 = -g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*m + 11, -m + o + 2*o = 0. Let u(a) = a + 3. Let r be u(m). Determine f, given that 0 + 2\/5*f**5 + 6\/5*f**4 + 2\/5*f**2 + r*f + 6\/5*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 38 - 252. Let x be ((-212)\/8)\/(22\/132). Let c = i - x. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 7:01 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (29 + (29 + -36 - 119)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/23532 and -19\/24653988?\nAnswer: 1306661364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a - 9 = -66*a. Let p(q) = -q**2 - 10*q - 12. Let n be p(a). Let o be 9 + 0 + n + -4. Solve 2*y + 2*y = -5*l - 15, 0 = -o*y - 2*l - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 + -2 - -8) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r**2 + 1896*r + 24041. Determine u(-12).\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23311322 (base 5) in base 10?\nAnswer: 213337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -91, -307, -735, -1447, -2515, -4011?\nAnswer: -6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -27, -43, -59, -75, -91?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8*84190\nAnswer: 673520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*q + 37 = -4*l, -4*q + 132 = -4*l. Let f = l - -50. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*-2*(-1*sqrt(38))\/sqrt(2) + 5))**2.\nAnswer: 1500*sqrt(19) + 17725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -167\/5, -5, 401.6 in descending order.\nAnswer: 401.6, 1, -5, -167\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -5400?\nAnswer: -5366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from {x: 1, h: 5, n: 1, b: 1, v: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 202966811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*c + 11 - 11 as s*c + l and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.9041535 rounded to 1 dp?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4))\/(6 + (-221)\/34). Solve 5*w + a*w = -30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213323203 (base 4) to base 2\nAnswer: 1100111111011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087917830.\nAnswer: 2, 5, 108791783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -219*y + 525. Let o be a(7). Round o to the nearest 10.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -9*a**5 - 5268*a**4 + 341556*a**3 - 7130160*a**2 + 51115200*a - 31008000 = 0.\nAnswer: -646, 2\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -285, -281, -277, -273, -269?\n\"Answer: 4*t - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2695.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -843\/13, -3\/17, -8, -0.4, 4, 2.\nAnswer: -843\/13, -8, -0.4, -3\/17, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -3, 4, 5 in decreasing order.\nAnswer: 5, 4, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 144\/(-14) + (-8)\/(-28). Suppose -3*h = -2*j + 19, 5*h + 3*j = 14 - 52. Let r = h - m. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 - 2715)\/(-3*(40\/(-44) + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113324942.\nAnswer: 2, 56662471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -70761?\nAnswer: -71004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 + 7*d**2 - 3*d - 4. What is g(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q - 4*g + 173 = 0, 0 = 2*q + 4*g - 354. Calculate the remainder when q is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 613*w**5\/5 - 307*w**3\/3 + 173. What is the third derivative of n(z) wrt z?\nAnswer: 14712*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.152? (a) -1 (b) -0.4 (c) 0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/4 + 7384\/5104 + -1 and 13\/8?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -27\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 22*h = 9*h + 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6717.865mm to micrometers.\nAnswer: 6717865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/7034 and 43\/10.\nAnswer: 35170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40083483943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**3 + 43*w - 4409*w**4 + 38*w + 4408*w**4 - 5*w**3 - 11*w**2 - 52*w**2 = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 900*28\/560 + (-24)\/4\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfipeppxpdfpeixff. What is prob of sequence xpf?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2998, 3001, 3004, 3007, 3010, 3013?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvv when three letters picked without replacement from {t: 2, v: 17}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/40 and 111\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4943937.\nAnswer: 3, 1049, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 13*z - 22. Let n be x(-12). List the prime factors of 13\/(3 + 100\/n).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1953 - 1953 - 38*z in the form p + h*z and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1, 79, -5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 8698*w + 107. Let j(i) = -3*i**2 - 6523*i - 78. What is -8*d(p) - 11*j(p)?\nAnswer: p**2 + 2169*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.86 - 0.9. Let u = p - -0.14. Let z = 0.1018 - u. Round z to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1064\/(-10))\/((-170)\/425) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 4 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.09 + 23. Let o = -0.19 - m. Let w = 0.5 - o. Round w to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -11 + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*7\/(70\/(-1755)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + 3 + -13 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3887*r + 1547013. Calculate p(-398).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/44 or -1.4332?\nAnswer: -1.4332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 185568*o**3 - 132325?\nAnswer: 556704*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 39, 45, 53?\n\"Answer: l**2 + l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 0.032, -1\/14, -2\/11?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/60 + 13*k**2. Let l be p(3). What is the remainder when 43 is divided by 2*(-1 + l)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -20210021100?\nAnswer: 20210021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/126 and -47\/12810.\nAnswer: 38430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Let h = -4 + t. Let f = h - -0.1. Which is the nearest to 0? (a) 0.2 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j. Suppose -141*w + 33 = -130*w. Let c(t) be the third derivative of 0 - 1\/30*t**5 + 0*t + 5*t**2 + 0*t**4 + 0*t**w. Calculate c(u(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 1 k when three letters picked without replacement from {v: 4, f: 1, s: 1, t: 4, w: 4, k: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13*k - 12. List the prime factors of d(-8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515915872 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2403\/(-2670))\/((-4)\/30))\/((-2)\/(-24))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 1. Suppose 0 = 4*p + 5*g - 36, 4*p = 196*g - 197*g + 20. Let s(o) = -6*o + 1. Calculate p*v(c) + s(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -460 + -101. What is the common denominator of 3\/5 and n\/99*6\/(-74)?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 4. Let s(q) = q**2 + 5. Determine 3*r(w) + 2*s(w).\nAnswer: 2*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 96*f = -91*f - 26, 32 = -3*l + 4*f. Let c(t) = t + 27. What is c(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 7)*5 + (-7)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/4? (a) -3 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-32))\/(1\/(-2))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91.1 + 86. Let j = -5.146 - n. What is j rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*i + 12 = 638*i - 4*s, -4*s - 20 = -3*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:14 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from hhxxhhxhxxxhhxxhhhx.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 198 times 3\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5625167*u**4 + 24*u**2 - 119126 wrt u?\nAnswer: -135004008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3\/2 (b) -1.07 (c) -0.7 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/8)*j**(4\/3)\/j)\/(((j\/(((j**(-3)\/j*j)\/j)\/j))\/j)\/j**(-3\/4))*(j**5*j*j**7)\/(j**(-4)\/j**(-1)) assuming j is positive.\nAnswer: j**(263\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 205\/4 - 12\/(-16). Suppose 6*u + 7*u = z. Let r(l) = -l**2 + l + 22. Let n be r(u). Solve 3*i + n = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 134, 201?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 5*i. Let z(k) be the second derivative of k**4\/4 - k**3 + 3*k - 2. What is -6*c(q) - 5*z(q)?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12196*u - 280 = 12252*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-10 - (5 + -9)) + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/7 - 1338*d**2\/7 - 207600*d\/7 + 5506936\/7 = 0.\nAnswer: -346, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awn when three letters picked without replacement from {n: 4, w: 1, a: 2, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10877\/7 + 1548. Find the common denominator of 47\/12 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 30*x**2 - 2*x + 1. Let u be m(1). Let o = 33 - u. Suppose -28 = -6*a + o*a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) -2\/15 (b) 2\/5 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, -911, -892, -873, -854?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47437278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltwlwlwwfwwljfwt. What is prob of sequence fwt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 7. Let g = -14 - -7. Let m be q(g). Solve m*b + 4*b = -2*s + 4, 2*s = 4*b + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/3618841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0298 and -1.9.\nAnswer: 0.05662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from {l: 5, h: 11}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*r = -3720 - 17868 + 62 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/1 - 0) + 11. Let q = -15 + 18. Suppose -12 = -3*n + 2*g, -2*n - 3*g - 457 + 465 = 0. Put d, q, n in ascending order.\nAnswer: q, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 194*x. Let i(z) = 12*z**2. Calculate i(a(b)).\nAnswer: 451632*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(9\/8))\/(u**10*u))\/(((u**(-9\/8)\/u*u)\/u)\/u)**15)**(5\/8) assuming u is positive.\nAnswer: u**(715\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 200853671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79 - 3045?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 3*w - 42. Suppose 5*n = -s + 45, -188 = -w*s + n - 21. What is the least common multiple of s and 35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 6, 2*s - s - 5*a = -13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/34 and -17\/794?\nAnswer: 13498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1410 - 886. Let i(s) = -50*s - 2. Let t be i(7). Let a = j + t. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1787 + -1070. Calculate the remainder when m is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2553 and -756\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 524936639 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g + 10. Let w be g*(1 + 1) + 1. Let q = 0 - 2. Sort w, 1, q in ascending order.\nAnswer: w, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 170455559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ab623 (base 14) to base 6.\nAnswer: -210023223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -324*p - 65 wrt p?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1959*s - 6. Let w(y) = 7833*y + 28. Determine 9*j(p) + 2*w(p).\nAnswer: -1965*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84552?\nAnswer: 2, 3, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2 + 4\/8. Let t(v) = v**3 - 3*v**z - 3 + 0*v**2 + 2*v - 3*v. List the prime factors of t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 15496921.\nAnswer: -7748460.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -2*b + t, 42*b - 3*t = 44*b - 115. Let y(o) = o**3 - 53*o**2 + 2*o - 101. Let x be y(b). Solve -d + 13 = -x*d + f, -4*d + 17 = 5*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2770324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - t**2 + 4*t**2 - 2*t + (-5*t + 0*t - 2*t)*(-22 - 51 + 10)*(2*t - 2*t - 2*t) to j*t + x + z*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.096 * -5483.5\nAnswer: -526.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.265832111 to 5 dps.\nAnswer: -0.26583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus -2.601?\nAnswer: 9.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 120 - 96 = j, 5*j = d + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-8 + 3 + 3 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 50621 = 12539. What is the thousands digit of (d\/4)\/((-12)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35ec (base 15) to base 6\nAnswer: -125040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 138*s - 148*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 178. Let f be (-1314)\/v + 1\/(-5). Which is smaller: f or 20?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1099 = -1805. What is the tens digit of h\/8 - 12\/(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*p + 23, 4*p + 4*r + 17 + 11 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 341962.\nAnswer: -341958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (0 + 0 + 2) - (-10 - -13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226.179 decades in years?\nAnswer: 52261.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 + -223. What are the prime factors of 10340\/34 + -10 + (-672)\/j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 95?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 8, 2*g = -2*d + 5*d - 8. Suppose -13 = l - v - 4*v, -4*l = 3*v - 17. Suppose g*f = 4*f + 3*a - 36, -l*f + 40 = 4*a. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1756 = -16*i + 4836. Suppose -70 = z - i. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + x. Let j(z) = 44*z**2 - 5*z + 1. Let q(f) = 5*b(f) + j(f). What is the units digit of q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**4 - 10520*a**3 + 6916900*a**2 = 0?\nAnswer: 0, 1315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at most -1\/753588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13133*r**3*t**5 + 33885*r**3*t**2 - 11*r**3 + 7*t**6 wrt t?\nAnswer: 787980*r**3*t**2 + 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:01 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1436, 2874, 4328, 5810, 7332?\n\"Answer: 2*f**3 - 4*f**2 + 1436*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 12 - (-7 - 2). Let r(z) = -3*z**2 + z + 3. Give r(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**5*t - 7*d**3*t**2 - 2*d**2*t + 70*d*t**2 - t wrt d.\nAnswer: -180*d**2*t - 42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:23 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 + 6*n - 2. Let r(v) = -v**3 - 5*v**2 - 7*v + 1. Let j(o) = -5*r(o) - 6*u(o). Calculate j(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000914107 to 7 decimal places.\nAnswer: -0.0000914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 9) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = -2*h, 0*h - 22 = -5*h - c. Differentiate -i**h + 14 - 9 - i**4 with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2137235 to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a year in months?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 - 2)\/(-1))\/(-1 - -2). Suppose -27 = -2*s - 5*r + 1, z = 4*r - 16. Suppose 0 = f + 3*u + s, f + 6*u + 6 = u. Is f at most as big as -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/6)\/(1\/3). Suppose -k*o - 19 = -4. Suppose 5*h + 14 = 39. Put -1, o, h in decreasing order.\nAnswer: h, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moimiciioiihcho. What is prob of sequence coi?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 + 23*x\/7 - 7524\/7.\nAnswer: (x - 76)*(x + 99)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6976969*n**3 - 3488449*n**3 - 3488504*n**3.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (18\/10665*6)\/((-132)\/440*(-8)\/(-6))\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1188*j - 1165*j - 46 = 0. Solve -42 = -j*i - 52 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*h - 7455 = 67*h - 124*h for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*x - 5*x. Suppose 2*n + 20 = x*n. Suppose r + 21 = j - 1, 0 = n*j + r - 63. What is the remainder when 48 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364 + -354.96. Let u = i - 10. What is u rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31954 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/17 (b) 4 (c) 101 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 - 4.8. What is the closest to 3 in -5, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9094 is divided by 8972?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 - -6060626?\nAnswer: 6061158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (10 - 2) + (-960)\/(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -5bdc?\nAnswer: -5bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 1.1. Let q = 21\/100 + -103\/300. What is the closest to t in 0, q, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 + 5*u + 3. Let q be l(-4). Is 4\/14 - (-2439)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 321476045, 321476046, 321476047?\n\"Answer: b + 321476044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:14 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-206)\/156 - 11375\/(-9750)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-8))\/((-2)\/(-8)). Suppose 4 = o + q - 8, l*o + 4*q - 36 = 0. Let a be (-3)\/(1\/(-36)*1). What is the greatest common divisor of o and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r\/(r*r*(r\/((r\/(r\/(r*r**(5\/4)\/r))*r)\/r*r))\/r))*r**(-5\/3)*r*r*(r**(-6\/13))**(-1\/15) assuming r is positive.\nAnswer: r**(869\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30369350 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vra when three letters picked without replacement from avjqr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.861 from 0.7.\nAnswer: 5.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14835*x + 14835*x - 335*x**4 + (0 + 2*x**2 + 0)*(-x**2 + 0*x**2 + 2*x**2) - 4 + 4 + x**4 + (3*x**3 + 4*x**3 - 5*x**3)*(-3 + 3 - x).\nAnswer: -334*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 28 (c) 0.16 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 18*v - 66. Let x be y(-6). Suppose 0 = -5*w - 4*d + 6, -4*w + x = -3*d - 5. Solve 2*b = 4*n + 3*b - 25, 3*b = -w*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 58*r + 110. Let p be u(-2). Sort -4, p, 5 in increasing order.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531, 554, 579, 606?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 4361.333.\nAnswer: -1308.3999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1573)*5 + -1)**2 + -4.\nAnswer: -440*sqrt(13) + 39337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 5*x**3 + 2 - 8*x - 4*x**3 - 3*x to the form p*x**3 + f*x**2 + r*x + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -16. Suppose w = 5*a - 4*b - 10, b = a - 6. Let y(m) = 2400*m**2 + 2*m - 2. Let j be y(a). Round j to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 12) to base 3.\nAnswer: 212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 e when four letters picked without replacement from {e: 2, y: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*d + 23 - 59, -4*m + 4*d = 64. Is m equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27524664 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m**2 + m**3 + 160*m - 36*m - 193*m to t + j*m**2 + r*m + v*m**3 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/74, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 16, 27, 30, 19?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b - 93 = 19*b + 5*y, -5*b + 10 = 2*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-602)\/258*6\/4).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116913 is divided by 2157?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (112\/49)\/(60\/18). Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/(6\/171) - 1. Let s = r + 24. Solve 2*y = s*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14214376 is divided by 1649.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/15)*k*k*k\/((k\/(((k**7*k*k)\/k)\/k))\/k)*k**4\/k*k**(-2\/23)\/k assuming k is positive.\nAnswer: k**(4064\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a millennium?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 8155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12584 = 24*f + 2*f. What is the remainder when f is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -46\/3. Let r be (-10)\/(-15) - 2\/(-6). What is the biggest value in m, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1556 + -10916\/7. Which is the smallest value? (a) -1 (b) -4 (c) s (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:41 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from rkkrnnrnnnnkrrr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - h - 19, 2*r - 12 = -2*h - 2. Suppose 0 = -t - r*t + 392. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-186)\/(-4030)*-13)\/(((-22)\/360)\/(-11))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**2 - 3*j - 8. Let g be p(-2). What is the third derivative of 0*d**2 - 2*d**2 + 11 - 8*d**4 + g*d**4 + 26*d**4 wrt d?\nAnswer: 1056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5136732 divided by 97\nAnswer: 52956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 46. What is the remainder when 30 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66588000*(6\/(-8))\/((1530\/(-160))\/(-17)). What is f rounded to the nearest one million?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-7))\/((-4)\/10*(-440)\/(-1232))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -567667 divided by 9.\nAnswer: -567667\/9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6 + (-17)\/(-2). Suppose z*h = 4*h + 30. Suppose -h = -3*m - 0*m + 3*o, -3*m - 15 = 4*o. Sort -2, m, -4 in decreasing order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 - 1662\/13. Which is the nearest to -19? (a) 0.2 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/(-32)*(-6)\/15)\/(17190\/15280)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1367\/140 + -1\/28. What is the common denominator of f and -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*g - 1410 = 118*g - 48*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 9*l**2 + 9*l + 12. Let p be z(10). Let n(q) = 8*q - 5*q - p*q - 16. What is n(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + 118\/3. Let d = -419\/12 + v. Find the common denominator of (2\/(-48))\/((-4)\/(-66)) and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 13*z + 13. Let x be f(-4). Let m be (3 + -13)\/(x\/22). What is the nearest to m in -0.4, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84.5 + 84. Let a = 6 - 6.4. Sort a, h, 5.\nAnswer: h, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9657380.\nAnswer: 2, 5, 67, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**2\/2 - 7*p - 95. Determine i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 + 6*c + 1. Let p be g(6). Suppose -p = -4*j - 13. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -525, -876, -1287, -1758, -2289?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 26*o + 7. Let c be y(3). Suppose 5*s - c = 130. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 4, 2\/13, 6244, -22, -4\/13, -0.1?\nAnswer: 6244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 42. Let q = 31 - b. Let a = 14.1 - q. Which is smaller: -10 or a?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 738*l. Let f(p) = -2*p**2. Calculate w(f(y)).\nAnswer: -1476*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4074 + -0.47\nAnswer: -0.0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2506 is divided by 831\/((27\/(-45)*5)\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-189))\/(1*25\/105).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/3 + 6 + -1. Suppose -y*d + 86 = 2. Suppose 19 = 2*a + j, -4*a + 36 = j + 1. What is the remainder when d is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16599.62mg in micrograms?\nAnswer: 16599620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142073 or -142052?\nAnswer: -142052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964*y + 14340 = -944*y. Solve 718*i - y*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.009 - -0.009049. What is d rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 817*r**3 - 870*r**2 + 6. Let a(g) = 1635*g**3 - 1739*g**2 + 15. Let w(s) = 2*a(s) - 5*m(s). Find the third derivative of w(f) wrt f.\nAnswer: -4890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.33106mm in centimeters?\nAnswer: 6.233106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -8 - 6. Let i be (3\/(-3))\/(((-6)\/(-39))\/f). Is -13 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*y = -284*y - 23330. What are the prime factors of y?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -32. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -24. Let i(h) = -1 - 3*h**2 - z*h**3 + 17*h - 3 - 24*h. What is the tens digit of i(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 229.269959274 + -229.27. What is o rounded to 6 decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 7 (b) 38 (c) -0.3 (d) 39.2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 632\/28*(1 + -3). Let s = -45 - v. Let l = -33\/14 - s. Does -4 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 minus 40979?\nAnswer: -40764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304*f**5 - f + 5.\nAnswer: -6080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2281.5152 - -2441.51731. Let m = 160 - p. What is m rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3, 2\/27, 6, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/14765 at most as big as -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1961*m - 100010. Give p(-51).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.9663 + 0.0337. Which is the nearest to -2? (a) 1\/7 (b) l (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -185\/6 + 2363\/78. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 103*t**2 - 5*t - 2. Calculate c(-1).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 42 = 4*b - 8, -104*k + 0 = 3*b + 226 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.2*-71.9\nAnswer: 301.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**3 - 17*z**2 - 17*z - 3. Let g = 2 + -8. Let v(j) = 4*j**3 - 6*j**2 - 6*j - 1. Let n be 258\/15 + (-4)\/20. What is g*y(m) + n*v(m)?\nAnswer: 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -146323 divided by -4\nAnswer: 146323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2231 divided by -1\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -16. Suppose -4*w = -0*w + 4, -r + 6 = x*w. Suppose -2*t + r = -8. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2\/(-10) - (-360)\/50)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - 9. Suppose 5*i + x = -22. Let w = 1.99 - -0.01. Which is the third smallest value? (a) w (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -37, 48, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905*r - 7708 = -54*r - 31683 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 322211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - 42\/4. Let k be 26\/(-22) + (-2)\/y. Let w(j) = 10*j**2 + 2*j + 1. What is the units digit of w(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000416 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 44*y**2 - 3*y - 2. Calculate the remainder when x(-1) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -7735.\nAnswer: -7730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by 366331\nAnswer: -65\/366331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*c - 56 + 23, -2*c + 4*s = 16. Let n(o) = c*o**2 + o**2 + 3*o - 4*o**2 + 7. Let l = 2 + 3. Determine n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 178. Let c(v) = -v**2 + v - 1. Let b(a) = -2*a**2 + 6*a - 1. Determine j*c(l) - b(l).\nAnswer: l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 + 6*w**2 + 3*w - 5. Suppose 36 = -5*h + 66. Let z(v) = -48*v + 7*v**3 - 7*v**2 - 2*v**3 + h + 44*v. Determine -6*g(m) - 5*z(m).\nAnswer: -m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/117 - (-26152)\/26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110 + 30 - (-5 + 60)) + 0 + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/240 and 143\/42.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015677237 rounded to 5 decimal places?\nAnswer: 0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 75.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(35\/10)\/(-1) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {d: 1, h: 4, q: 4, m: 1, b: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9246 + -55429\/6. What is the common denominator of j and 119\/1550?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 90881.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 9*f - 15, 5*g - 195 = -f. What is the greatest common factor of 54 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 24 = 5*p. Suppose 5*f - 2*h - 185 = 0, f - 7*h + 2*h - 60 = 0. Find the first derivative of -10 + f*s**2 - p - 21*s**2 wrt s.\nAnswer: 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*b, 7*o - 6 = 8*o - b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.4 - -7.18. Let y = 79.22 + u. Is -2 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 18. Let f be 2\/(-5)*(-5 + 0). Let p(r) = 2*r + 2. Calculate the lowest common multiple of c(-20) and p(f).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from wewwwegewwwg.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1101011010?\nAnswer: -1101011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*o + 2. What is the remainder when 81 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 138\/(-644) - 250\/140. Let n = -0.31 - -0.3. Let g = 2.01 + n. Which is the nearest to 2\/3? (a) 4 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5543483?\nAnswer: 11, 23, 21911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 2:32 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3302101.0400621 + -3302099.5. Let i = -1.54 + q. What is i rounded to 6 dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 244, 295, 346, 397?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -324*s**2 + 1. Let l(o) = 6*o**2. Give l(q(u)).\nAnswer: 629856*u**4 - 3888*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -31) + -4 + -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -1.2. Let l = -0.11 + -4.89. Let q = 5 + l. What is the smallest value in q, u, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-4 - (-429)\/110).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234886173 to the nearest integer?\nAnswer: 15326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*5*-2 + sqrt(39))\/((sqrt(18)*5)\/sqrt(6) - sqrt(3)).\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14560\/3616 + (108\/(-378) - (-156)\/(-42)).\nAnswer: 3\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 17*u - 7. Let r(c) = 11*c**2 + 35*c - 16. Let f(z) = 9*g(z) - 4*r(z). What is the units digit of f(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9984 and 182494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 - 120*b - 118 = 0.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*3 + (1887\/(-74) - -23).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2515 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 41*h**2 - 14*h - 51. Is 6 a factor of x(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + 1*sqrt(209))*2 - sqrt(209))\/(sqrt(891) - ((sqrt(891) - 2*sqrt(891)) + sqrt(891) + sqrt(891) - sqrt(891))).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**7\/u*u))\/(u*u*u**(-3\/8))*(u*u*u**7*u)\/(u*u*(u*u**(-2)*u)\/u)*(u\/u**(-1\/3))**(-10)*u**(-8)\/u*u**(3\/2) assuming u is positive.\nAnswer: u**(-491\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 207\/5. Let p be (-5)\/(-3)*(-4)\/10. Which is greater: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-2\/17))**(-4\/3) assuming h is positive.\nAnswer: h**(-128\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1534506 (base 7) to base 14.\nAnswer: 56a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 17*u - 17. Let d be l(-18). Suppose b - 5 - d = 0. Suppose -b*k + 124 = -110. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:32 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 131*t**5\/5 - 220*t**3\/3 - 1928*t**2. What is the first derivative of b(p) wrt p?\nAnswer: 3144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34333682167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6420543867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/19 - 62*l**2\/19 + 606*l\/19 - 1890\/19 = 0.\nAnswer: 7, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -423965860 rounded to the nearest one hundred thousand?\nAnswer: -424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 12 + 51)*(3*k - 3*k + 2*k**2).\nAnswer: 158*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*a + 50 = -a, -u + 5 = -4*a. Is (-2)\/6 + (-5300)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times 15006?\nAnswer: 4951.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 2. Let l be t(8). Let w be (-56)\/12 - l\/(-9). What is the units digit of (-5)\/15*(w + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 37 - 9, -5*h - 3*x - 84 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3852 divided by -6\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12 = -r, 41*h + 3*r = 42*h - 16. Let c be (-21)\/(-28) + 49\/h. Let b(a) = -a**3 + 4*a**2 + 5. Let y be b(4). Solve -y*o = -c - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -0.0595, 0.3, 0?\nAnswer: -0.0595","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4 - 68. Solve -9 = -4*x + v - 2*v, o = 2*x + 2*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y + 7. Let h(n) = -5*n**4 - n**2 - 6*n. Let k(v) = -6*v**4 - v**2 - 7*v. Let w(r) = y*h(r) + 6*k(r). Factor w(s).\nAnswer: -s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}