diff --git "a/data/dm_maths/full_data/10446_11255.jsonl" "b/data/dm_maths/full_data/10446_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10446_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 360720598?\nAnswer: 2, 7, 25765757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11572945 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 1)*(8 - 1 - 6). Let f = 3 - s. Solve -f*c + c + 13 = -3*a, c = 5*a + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuuu when four letters picked without replacement from {f: 1, u: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 177117217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xivvzziwzliii. Give prob of picking 1 x and 2 v.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 3357096?\nAnswer: -67141.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s + 47*s = 1863. Let v = s + 18011\/29. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 2. Let h(t) = -t - 10. Let q be h(-8). What is the units digit of o(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.082 + -0.082. Let s = r - 56.89. Which is the nearest to -1? (a) -2\/5 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 4134 + 5654 - 1520.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*-2*4\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 356?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*v + 46 = 0, 4*s + 46 = -2*v - 38. Let z be 0 - 3\/(-1) - 1113. Let h be z\/(-4)*s\/(-25). Round h to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + 16*h**2 + 29*h**3 - 5*h**2 - 30*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 3, n: 2, y: 4}. Give prob of sequence non.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*x - 3*f + 2, 0 = -21*x + f - 62 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*d - d - 22*d + 80*d as h*d + u and give h.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -193\/5. Let z = -4.1 - -0.1. What is the second smallest value in z, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 254 = 93 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -34.6. Let x = -0.4 + t. Let q = -2 + x. Which is the nearest to q? (a) 1\/2 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1100.83 to the nearest ten.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 5*t**3 - 2*t)*(1 - 1 + 2*t) + (74*t**3 + 52*t**3 - 26*t**3)*(10 - 5*t - 10) to h*t**2 + r*t + g + d*t**4 + w*t**3 and give d.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 0.5, -3, -0.12, 0, -557?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-30)*q**(-1\/24))\/(q**(-1\/11)\/q**(1\/36)) assuming q is positive.\nAnswer: q**(24613\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 1, -7 in descending order.\nAnswer: 1, -7, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*c**3 + 111*c**3 - 413*c**3.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 1, s: 2, f: 1, x: 2}. What is prob of picking 2 s and 1 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**4\/4 - 5*h**3\/3 - h**2 + 11*h - 568. Give t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = 4*y - 12*y. Let j = 86 - y. Suppose 2*b = 3*b - j*p - 7, -4*b + 3*p + 41 = 0. What is the greatest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m. Suppose 0 = a - 2 - m. Suppose 3 = v - 3. Solve -v + 0 = a*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 1293944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 - 177 + 90 + 2*x to o*x + c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 6*(sqrt(68) + sqrt(68)*1))\/sqrt(4).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*sqrt(35))\/sqrt(7))**2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*32\/144*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629314 = 6476*z - 78854 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 4*d - 192 = 0, -186 = -4*a + d. Let q = a + -24. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 3, -2.5, -5.\nAnswer: -5, -2.5, -0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2104\/14 - 12\/42. Let p = -1648\/11 + y. Let t be -2*(0 + (-1)\/10). Which is the smallest value? (a) p (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095115 rounded to 6 decimal places?\nAnswer: -0.000951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1672542 and -59\/118620.\nAnswer: 16725420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -18, -69, -172, -345, -606?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6502*-3.5548\nAnswer: 23113.3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015420014 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -820, -826, -832, -838?\n\"Answer: -6*l - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 5*r**2 + 5*r + 2. Let y be ((-1)\/(-2))\/((-4)\/(-48)). Let a be w(y). Let n = a - -19. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 122*w**2 + 114*w + 416. Give z(121).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 1960440?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) -0.039 (c) 0 (d) 1\/3 (e) -4 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37293 + 163633 = 61*r - 103752. Is r a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 938215 and 8?\nAnswer: 7505720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 smaller than 2\/1727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = 4. Find the second derivative of -2*j**2 - j**2 - 4*j - g*j**2 wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 y when four letters picked without replacement from yccciitpcti.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28762?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -152, -1 in descending order.\nAnswer: 2, 0, -1, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1*2 - (sqrt(128) + -2 + 0))**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*q - 31*q + 45*q)*(-1 + 4 + 0) in the form d*q + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 6 + s**3 - 2*s**3.\nAnswer: 2*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49903 + 99794 - 9*m + 3*m - 49891.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.089 + 24.911. Let y = 20 - i. Which is the closest to 1\/3? (a) y (b) 3\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Suppose -5*a = -5*l + 25, 2*l = 5*a - x*l + 24. Let r(t) = -t**3 - 3*t**2 - 4*t - 4. What is the tens digit of r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*25\/(-50)*8\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1 + u - 1 + 14. Let j be q(-10). Suppose 4*p - 2*c - 26 = 0, 2*p + 28 = j*p + 4*c. What is the lowest common multiple of p and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.13 (b) -146 (c) -1 (d) 1 (e) 42 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b - 10*b + 6*b + 1)*(0 + 2*b + 0) to p + z*b**2 + o*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 8614?\nAnswer: -860f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000204995785 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4 + 5. Let x = 52\/33 - -1913\/231. Let f = -10 + x. Which is greater: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 11*x**2 - 4*x - 13. Determine j(8).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 28 = -0*f. Let c = f + -3. Find the third derivative of 3*w**2 - w**2 - 3*w**6 + c*w**6 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5463852 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 2, z: 1, y: 6, q: 9}. What is prob of sequence gyq?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -317 - -347. Calculate the least common multiple of 21 and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -453 - 4?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h**3 - h + 7. Let p(l) = 6*l**3 - 2. What is -7*p(q) - 2*t(q)?\nAnswer: -4*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45136, -45513, -45890, -46267?\nAnswer: -46644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**3 - g**2 + 34*g + 37. What is s(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71080 is divided by 627?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940.17 centuries in months?\nAnswer: 3528204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:24 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3009, -3496, -3949, -4368?\n\"Answer: 17*x**2 - 538*x - 2488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {l: 2, g: 4, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1218*o**4 - 1321*o + 1 wrt o.\nAnswer: -14616*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95375 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 1\/5*q**3 + 0*q - 1\/200*q**6 - 3\/100*q**5 + 1\/40*q**4 + 1\/350*q**7 - 6*q**2 + 0. Let g(l) = 0. What is l?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113, 129, 179, 281, 453?\n\"Answer: 3*x**3 - x**2 - 2*x + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b - 6*b + b**2 - 4*b**4 - b**2 wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -31 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42295 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2 and ((-552)\/(-20))\/6 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4504 times -18?\nAnswer: 62.1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26534082.4307 + -4.\nAnswer: 26534078.4307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*y + 16 + 0 = 0, 24 = 4*r + 2*y. Factor -362*w**5 + 360*w**5 - 4*w**4 + 4*w**3 + 2*w**r.\nAnswer: -2*w**3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5509, -2682, 4983, 19904, 44499, 81186, 132383, 200508?\n\"Answer: 403*g**3 + g**2 + 3*g - 5916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43174230 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 59161\nAnswer: 3\/59161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w**2 + 2*w + 9. Let r be u(0). Let b(y) = -10*y + r*y - 12*y. Let g(z) = -3*z. What is b(g(d))?\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x. Let r(t) = -34*t**2 - 15*t - 12. Let f(y) = y**2 + 3*y + 2. Let l(k) = 5*f(k) + r(k). Calculate g(l(i)).\nAnswer: -261*i**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7707 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -3 + -26064 + -1. Let o be 860345*(-6)\/(-198) + -5. Let m = o + n. Calculate the common denominator of m and 77\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 7*j**3 + (-2*j + 3*j - 3*j)*(-25*j**2 + 8*j**2 + 43*j**2) - 1 + 1 + 2*j**3 to i*j + n*j**3 + z*j**2 + s and give n.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -27\/14, 2, 0.3, -2\/11, -6\/7 in increasing order.\nAnswer: -27\/14, -6\/7, -2\/11, 0.3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8507 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 3, 5, -6\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/3 + 119278*g\/3 + 39760 = 0.\nAnswer: -1, 59640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 9*l + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*k + 251 + 9*k + 15*k + 110 - 48 + 67*k.\nAnswer: -3*k + 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + 5*((sqrt(2736) + 0)*-6 + -4 + -1 + ((sqrt(2736) + 1 - sqrt(2736)) + -4 - sqrt(2736))))**2.\nAnswer: -6706562 - 68880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.5 - -12.3. What is the smallest value in 0, f, 2\/11, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 204 (b) 0 (c) 3 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 - 1. Let k be j(1). Let h(c) = c**3 - 7*c**2 - 2. Give h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -24*q**3 + q**2 + q + 12. List the prime factors of b(-3).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -23*h + 18. Let p be z(-15). Suppose r = -2*q + 182, -3*q = -2*r - 20 + p. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6*(-24)\/45)\/((-5)\/(-50)). Suppose 38*g - w = 37*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -426*y - 6005. What is w(-14)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1788 + 17*b - 1788.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 555*j - j - 8 + 714*j - 12 + 22 to the form o + a*j and give a.\nAnswer: 1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/26*(81\/1701)\/(1\/156)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16170)\/220 + (-456)\/(-8))*(-2)\/(-18)*2.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938991 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6)\/((-35)\/15)*(-46)\/((-6670)\/(-377))\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -1\/24*h**6 - 1\/6*h**3 - 10*h**2 + 0 + 0*h**4 + 0*h**5 + 0*h. Does 2 divide d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 213633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1 - (14674 + -14672)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -c + 34*b - 32*b, -14 = -5*c + 3*b. Let g = 113 - 111. Calculate the least common multiple of g and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1909241*p + 187105614. Determine u(98).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 1\/6*d**3 - 1\/20*d**5 - 36*d + 1\/6*d**4 - 17\/2*d**2 + 1. Find the second derivative of l(n) wrt n.\nAnswer: -6*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*c - 5*v + 5, 7 = c + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i*u**2*v - 20*i*u**2 - 7*i*u*v + 4*u**2*v - u**2 - 235*v wrt u?\nAnswer: 10*i*v - 40*i + 8*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12609*p = 904123 + 508085 for p.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*p + 4536 = 4546, -g - 4*p + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*c - 5*c, -3*c = -s + 173. What is the remainder when s is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*o**2*w**4 - 18*o**2*w - 38*o**2 + 3*o*w**4 + o*w**2 - 2*o - 18*w**4 wrt w?\nAnswer: -1368*o**2*w + 72*o*w - 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -198, -792, -1782, -3168?\n\"Answer: -198*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 261401 (c) 1 (d) -1\/4 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95 + -74 - 23) + (24 - -3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -72. Sort 4, 0, u, -9 in increasing order.\nAnswer: -9, u, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s = -131*s + 71*s + 2314 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -111 + 51387?\nAnswer: 51276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1150*w - 1169*w - 209 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444285 and 960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 93696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-108)*18\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m - 2. Let i(w) = -w**2 - w. Let l(y) = y**2 + 5*y - 7. Let s(x) = -x - 1. Let k be s(5). Let c be l(k). Calculate c*i(r) - v(r).\nAnswer: r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9675*z + 12. Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/832*4\/(-3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60152.33 micrograms in milligrams?\nAnswer: 60.15233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-38)\/((b**(-23)*b)\/b*b))\/(b*(b\/(b**16\/b))\/b*b\/b**(31\/3)))**(-38) assuming b is positive.\nAnswer: b**(-836\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from pvgnkngk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -51152653.1 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -588\nAnswer: 19\/588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -15, -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1039319710 to the nearest integer?\nAnswer: 32238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66583485*b - 66583485*b + 591*b**3.\nAnswer: 591*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6131 + -5?\nAnswer: 612a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > -570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 648 (b) 0.21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456479.5 decades in months?\nAnswer: 54777540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274301*a**2 - 6120300*a.\nAnswer: -548602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/71 and -77\/6.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(2 + 0 + -3). Suppose 4*v - v = c. Suppose -2*p + 6*p - 12 = 0. Sort p, -1, v in descending order.\nAnswer: p, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2212209.3 and -4.\nAnswer: 2212205.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/20*((-1)\/55 - (-2454725)\/19250).\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bb141 (base 12) in base 13?\nAnswer: -402b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 51*h + 164*h - 1 to b + q*h and give q.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-four fifths of a tonne?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 7. What is the remainder when 11 is divided by o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (9 - 14 - (5 + -4))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let u = -1 - 0. Let g be (-1)\/u*(2 + -3). Is z bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*d = 2*d + 7601, -5*f - d + 38005 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:14 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-10)*((-62)\/(-4) - 3). Let u = 72 - l. List the prime factors of 192 - -6*u\/(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p = 120. Let z be 2 + 15 + (-3 - -2). What is the greatest common divisor of p and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-10)*(-10 - 0). Suppose -4*d + 57 = -w*y, -2*y - 3*d = -3*y - 7. Let v = y - -17. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 222\/(-6))\/(4 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224.4, -275.6, -0.3, 5, 2\/17.\nAnswer: -275.6, -224.4, -0.3, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/279?\nAnswer: -4\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879930957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 46 = -0*p + 2*p, 2*p + 34 = -t. Let q = -19 - p. Suppose 5*i + 11 = 36. Sort q, i, 1 in increasing order.\nAnswer: q, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18 + 9 - 2\/(-2). Does 23 divide ((-308)\/z + 4)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/(sqrt(700)*2) + (2*sqrt(18)*-1 - 5*sqrt(162)).\nAnswer: -1017*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243965175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 6*f + 15. Let q = 40 - 45. Let k be w(q). Let x be (29\/10 + k\/(-25))*2. Which is the nearest to 1\/3? (a) -4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18\/151 - -13849\/906. What is the common denominator of x and -2\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(10\/(-4) - -3). What is the third derivative of -z**2 + 2*z**c + 0*z**2 - z**3 - 5*z**2 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1809 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12073 is divided by 634.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 11:12 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -59840.2662 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33.1 - -31.1. Let y = -1190\/6351 - -12\/73. Is b bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.907 + -0.093. Let u = w - -74. Let p = 0 - -1. Which is the second biggest value? (a) u (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*g - 5*s + 5, -5 = -2*g - 3*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*sqrt(117) - (sqrt(39)\/sqrt(3) + -1)) + -5)**2*2.\nAnswer: -47090 - 1520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((((-324)\/(-8))\/(-9))\/2)\/(34*57\/74936)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, o: 5}. Give prob of sequence voov.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -15, 7*y - 2*y - 3*j + 30 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 9\/(-6))*(-1 - -3). Suppose b - 18 = 2*b + 5*g, -18 = -d*b + 2*g. Solve -3*q + 7*q - b = -2*w, 0 = -w - q - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**7\/a))*a**(-2\/7)*a)\/((a**0\/a)\/a**1)*(a**6\/a*a**(-1\/3))\/(a\/(a*a**(-2\/5)\/a)*a*a*a**(-1\/7)) assuming a is positive.\nAnswer: a**(1063\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20220221 + -2?\nAnswer: -20221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -584\/5 + 4103\/35. What is the third smallest value in -0.1, w, 1, -3\/20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180 - 168. Suppose z*o - 18*o = -2016. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -35*h + 5. Let v(g) = -174*g + 28. Determine 11*r(p) - 2*v(p).\nAnswer: -37*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 3*x**3 + 5*x**3 - 5*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = -5*t. Let p(j) = 11*j**2 + 5*j + 5. Let q be p(t). Does 17 divide (8\/10)\/(6\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -9 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 10*a**2 - 12*a - 23. Let z be h(8). Solve 3*i - 5*g + 24 = -0*i, 0 = 5*i + 2*g + z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9*1 - (-24)\/9. Sort t, -1, -3 in decreasing order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*1*-5*2*(sqrt(200) - sqrt(200)*1)*-1)**2 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/132087820 and -35\/788584.\nAnswer: 264175640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/5 - 13398*m**2\/5 - 439956*m\/5 = 0. Calculate m.\nAnswer: -6666, -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxatxzf. What is prob of picking 1 y, 1 f, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*w + 204, 5*g + w - 3*w = 216. Let i = g + -38. Factor -5\/4*f**i - 5\/4 - 15\/2*f**2 + 5*f + 5*f**3.\nAnswer: -5*(f - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 6*v - 168, 5*v = 1530 - 1390 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + 12. Let s(m) = -m**3 + 4*m**2. Let o be s(t). Solve 3*q + o = 0, 2*l + 5*q + 15 = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 1972*u - 265650.\nAnswer: -2*(u + 161)*(u + 825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*m - 1, 3*n - 5*n - 5*m = -25. Suppose 2*b - 1 = -q - 0, -n = -5*b - 2*q. Suppose 0 = 2*z - 7*z + 30. Solve -3*o + b = -z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -199679.\nAnswer: 1797111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - k**2)*(-3*k - 2*k + 3*k) + (3*k + 6 - 6)*(2*k**2 - 5*k**2 + 4*k**2) + (k + 0*k + k)*(-621 - 22*k**2 + 621).\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4.187?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 297*f - 3854. Determine z(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and -26 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - n + 3 + 2 = 0, -4*n + 3 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/38)\/(((7733\/57)\/(-11))\/(1\/(-3)))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clillilailnnnal. Give prob of picking 2 n and 2 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*a - 2*a - 2*a**2)*(0*a - 4*a + 2*a) - 2605 - a - 2*a**3 - 2684 + 5525)*(-3 + 3*a + 3) as z*a**2 + y*a**4 + s + r*a + u*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 371417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 5584*a**4 - 1533564*a**3 + 156472560*a**2 - 5551550784*a + 5396606208 = 0. Calculate a.\nAnswer: 1, 108, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3755059.4 rounded to the nearest 1000?\nAnswer: -3755000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 4. Suppose d - 7*d = 30. Give l(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2848 + 14239\/5. Which is the third smallest value? (a) -3.4 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (147\/(-42))\/(2\/(-4)). What is the greatest common factor of 56 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 9*y**2 + 8*y + 6. Let v be h(10). Let o be 4\/v - 48\/(-21). Suppose 0 = 3*x + o*c - 10, x + 4*c - 3 = -13. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1995 and 4.\nAnswer: 0.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = -0. Is 9 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 6845618.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 71*v**2 - 29*v - 117. Is x(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2033 (base 5) to base 14\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*x**3 + 332*x**3 - 869*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -190*r. Let f(a) = 4*a**2. What is f(c(h))?\nAnswer: 144400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 69. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31022 by -159.\nAnswer: -31022\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -15. Let k = 5 + u. Let i(a) = 3*a - 4. Does 2 divide i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.90187883 and 0.02562?\nAnswer: 43.87625883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*p - 20, p - 5*p + 4*h = 0. Let m = p + -3. Let v = 5 - m. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49b19 (base 13) to base 8.\nAnswer: 411332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/16744 and 74\/21.\nAnswer: 50232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 45\/(-35)) + 104\/28. Let l(g) be the third derivative of 0 + 0*g**3 + 1\/12*g**t - 4*g**2 + 0*g. Let s(w) = 12*w**2. Give l(s(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 8*c**2 - 65*c + 3. Calculate the least common multiple of 69 and b(-13).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-3)\/(-1))*-5. Let r be (0 - 1)*b*-11. Round r to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2696800017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -568*n + 7395. Is g(-75) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:25 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 - 238.0463. Round l to three decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 215*v**3 - 82*v**2 - 101*v - 30. Let y be q(42). What is y rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 243*c + 1582. Give h(6).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*f + 19611, 4*o - 12101 = 3*f + 14047. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 7.048. Let i = c + 0.052. Let j = 517 + -521. What is the smallest value in i, 2, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from qtyutjc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -15. Let r(v) = 2*v**2 - 2*v + 1. Let l be r(m). Solve 3 = -l*i + 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -305, -286, -265, -242, -217, -190?\n\"Answer: x**2 + 16*x - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 37. Suppose 2*x = 6*n - v*n - 20, 20 = 4*n - 3*x. Suppose -2*z + 294 = 2*q + 2*z, q = n*z + 154. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*n + 799 - 2334, 2*a = n - 293. Suppose -305*s + n*s = 8. Let u(h) = 2*h - 2. Determine u(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 72\/29483575 and 52\/23925?\nAnswer: 88450725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:58 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 5*z**5\/12 + 85*z**4\/24 + 5*z**3 + 5*z**2. Factor u(d).\nAnswer: 5*(d + 3)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.1 - -51. What is the nearest to w in -2, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -9*n**5\/40 - 2*n**3 + 12*n**2. Let m(f) be the first derivative of g(f). Let z(q) = 2*q**2. Determine z(m(o)).\nAnswer: 1458*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 - 4*x**3 - 3*x**3 + 7*x**3 + 3*x**3 + 7*x**3 + (3*x + 3*x - 4*x)*(-5*x**2 + 4*x**2 + 2*x**2) + x**2 - x**2 - x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 26*d**2 + 26*d + 19. Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -708, -1040, -1372?\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64994389*s**2 + 25*s - 571264 wrt s.\nAnswer: 129988778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 96946 (b) 0.4 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37693, 75486, 113279, 151072, 188865, 226658?\n\"Answer: 37793*m - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/95745 and 58\/2535?\nAnswer: 1244685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose -2*a - f + 5 = 0, d = -2*a - 3*f + 9 + 6. Solve -w = -a*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -60*s - 11. Let t(a) = 47*a + 10. Let r(u) = -4*k(u) - 5*t(u). Give r(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17435, 17442, 17463, 17504, 17571, 17670, 17807, 17988?\nAnswer: 18219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*o**4*z + 2*o**4 - 20*o**3*z + o**2*z + 3*o**2 + 25*z wrt o?\nAnswer: 96*o*z + 48*o - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/(z\/(z\/(z*z**1))))*(z*z**(-4)\/z)\/z*z)\/(z\/z**1)**(-1\/5)*(z\/z**(-1\/3))**(8\/5)*z\/(z\/z**(-3\/2))*z\/z**5 assuming z is positive.\nAnswer: z**(-101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 9. Let k be r(-9). Let i(d) = -16*d**2 + 5*d**2 + 0 + d - 2 + 12*d**2. Determine i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttrl. What is prob of picking 1 r and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -254.0698 to the nearest integer.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = q - 10, 3 - 33 = -5*q + 5*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 1}. Give prob of sequence tst.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3850080*b + 1925032*b + 1925049*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 7*m - 14. Let c be x(9). Suppose 5*d = 3*z - 107, -7*d + 131 = c*z - 2*d. Calculate the remainder when 133 is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2714 and 57284398?\nAnswer: 2714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -6, 0 in descending order.\nAnswer: 0, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2728 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.99957nm in meters?\nAnswer: 0.00000003399957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 842, -440\/19, -0.2, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312440244 divided by -12.\nAnswer: -26036687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 65028*f**2 + 1558944*f.\nAnswer: 3*f*(f - 21652)*(f - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*-3*sqrt(19) + sqrt(19)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 1. Let k(v) = v + 324. Let t(m) = k(m) - 2*r(m). Calculate the remainder when t(-39) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 2:04 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.63 - -25.23. What is the closest to c in 2\/3, 0.31, 5?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-26)\/117?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19796869 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-18) + (-55)\/(-450).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 180, 396, 694, 1074, 1536, 2080?\n\"Answer: 41*f**2 + 11*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from cchcwcchh.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuue when four letters picked without replacement from {e: 1, u: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = 34*s + 4. Let k(a) = a**3 - 8*a**2 + 9*a - 10. Let n be k(7). Put s, n, 5, 2 in descending order.\nAnswer: 5, n, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4\/4 + 8*x**3\/3 + 3*x + 1. Let y be r(-8). Calculate the highest common factor of 12 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 31 = -11*u, -5*x + 116 = -2*u + 115 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*b**2 + 24*b**2 + 79*b**2 + 52*b**2 - 199*b**2.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*n - 114. Let l = n + -34. Solve -a - l = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2 + 8, -2*k = -4*i + 26. Let c(l) = -l**2 - 6*l + 9. Let s be c(k). Find the third derivative of 3*v**s + 63*v**3 + 71*v**3 - 139*v**3 wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:34 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 3*u**2 - 6*u - 6. Let t(r) = -r**3 - 3*r**2 + 6*r + 7. Let q(b) = 6*l(b) + 5*t(b). Let i be -5 + (5 - (0 - -4)). What is q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -9, -1608, 4, -4, -10.\nAnswer: -1608, -10, -9, -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -179, -167, -137, -83?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1150, 1151, 1152?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589058127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -11660 + 4016. Let i = n + 1938. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 7086864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -104. Suppose 7*o - g = o. Suppose -a - 5 = 2*y - 6*a, a = -3*y + 1. Solve y = -5*i - 15 - o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/94531473 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38376 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5491, 49620 in descending order.\nAnswer: 49620, 5491, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 142?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n)**6 assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 1770, 5890, 13904, 27108, 46798, 74270?\nAnswer: 110820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let v(x) = -781*x - 2. Give l(v(y)).\nAnswer: -1562*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 34927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 16*w. Let y(h) = -4*h - 11. Let u(b) = -2*b - 6. Let o(l) = -11*u(l) + 6*y(l). What is o(t(g))?\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1429*z - 38613. Calculate y(27).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42283122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14060195+-0.09624\nAnswer: 14060194.90376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2441 times 22.726\nAnswer: 55474.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -45*m**2 + 7*m + 5. Let w(v) = -22*v**2 + 3*v + 2. Suppose -u = -6*u - 2*g - 14, g = 2*u + 11. Give u*z(f) + 9*w(f).\nAnswer: -18*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35, 4, -751, 0, -6, -3 in increasing order.\nAnswer: -751, -35, -6, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3191970\/345 + 13\/(1196\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*x + 18, -2*y + 23*x + 2 = 19*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + q + 133 = 0, -3*x + 2*q - 4*q = -148. Let b = x + -32. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8262223180.\nAnswer: 2, 5, 11399, 36241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122 (base 5) to base 2.\nAnswer: 10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -114 (b) -1\/4 (c) -2 (d) 2 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 265486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, w: 4, f: 7, d: 3}. Give prob of picking 1 f and 1 d.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/11)*a**(-1))\/(a**(3\/8)*a**(-16)))**(-19) assuming a is positive.\nAnswer: a**(-24301\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - o + 2. Let r be k(-1). Find the second derivative of 13*u**3 + 4*u**r + 26*u - 4*u**2 - u**3 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 12462.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/360148 and 49\/2515?\nAnswer: 1800740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*y - 4236, 5*q + 6*y - 4*y = 4244. Suppose q*k = 844*k + 5532. Is 70 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/2120*-9*66. Let t = o - -12\/53. Let m = -19\/2 - t. Which is the nearest to m? (a) -2 (b) 0 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/(((-1088)\/160)\/17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 459 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12717214 is divided by 183.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u**2 + 83*u + 49. Determine r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9)*(-2 - 73). Suppose -37 = 3*q + 17. Let n = q - u. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z**2 + 26*z - 38 + 0*z**3 + 3\/4*z**4. Differentiate o(b) wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1975000 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.1. Let q = 0.06 - -6.94. Let z = -11 + q. What is the closest to -2 in z, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 + 5 - 4) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 + 0 = 0. Let s = 19 + -11. Let k(v) = 20 - 13 - s. Let t(z) = -2*z. What is a*k(m) - t(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.3, 15.7, 1\/2, 1?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 3\/4, 3\/6493, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 4, 2, -6, -20, -40?\n\"Answer: -3*b**2 + 13*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26263330, 26263309, 26263274, 26263225, 26263162, 26263085, 26262994?\n\"Answer: -7*z**2 + 26263337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 3*f - 5*q - 213, -4*f + 2*q = 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, w: 2, i: 1, y: 1, s: 2}. What is prob of picking 1 w and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1671902.2808 to the nearest 100.\nAnswer: -1671900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 5*n**2 - 3*n**2 + (-2*n + 2*n + 2*n)*(3 + n - 3) + n**2 + 0*n**2 + 0*n**2 + 2*n - 2*n**2 - 4*n - n**2 in the form s*n**2 + c + f*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)\/(d*d**(-7)) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 267031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {k: 4, w: 1, a: 6}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2205913, -2205916, -2205919, -2205922, -2205925?\nAnswer: -2205928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -41. Suppose 4*k + 30 = 5*w, 4*w + d*w = 4*k + 34. Determine m so that -3*m + 3\/5*m**3 + 9\/5 + 3\/5*m**w = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 1127, 3804, 9019, 17618?\nAnswer: 30447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 + -95. What is the nearest to 1\/3 in h, 5, -7\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -10. Let o = 80 + h. Let u = -45 + o. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*r**3 + 8*r - 2*r**2 + 137*r**3 + 142*r**3 to the form d*r**2 + q*r**3 + w*r + h and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 6*s - 1590 = 0. Let x = s + -101. Let k be -3*(0 - 20\/6). Solve -4*f + x = -3*z, 0*z + 5*f = 3*z + k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1377) + 0)*-2)**2 + -4)*-5.\nAnswer: -991420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*z = q + 34, 2 = z. Let k = q - -17. What is the second derivative of 0*y + 18*y**4 - k*y**4 - 2*y**4 - 5*y wrt y?\nAnswer: 156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 277 - 103. What is the highest common factor of j and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 9*o**2 - 26*o + 44. Let v be a(11). Let b(d) be the first derivative of v*d + 0*d**2 + 1\/3*d**4 + 17 - 1\/9*d**3. What is h in b(h) = 0?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 6*d**2 + 2*d**2 + 8*d**2 - 4*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**5\/450 - w**4\/60 + 2*w**3\/9 - 25*w**2\/2 + 2*w + 49. Let a(c) be the second derivative of x(c). Solve a(r) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23667\/88 + 2121\/8. Let a = -7188 + 330705\/46. Calculate the common denominator of a and t.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)*y)\/(y*y*(y**3*y)\/y*y)*y**5\/(y\/y**(-2\/7)))**(-39))**(-36) assuming y is positive.\nAnswer: y**(-61776\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z**2 + 17*z - 12. Suppose 0 = -2*x - 3*u - 49, 4*x + 9 = 2*u - 49. Let d(m) = 5*m**2 - 6*m + 4. Let s(l) = x*d(l) - 6*t(l). Factor s(f).\nAnswer: -(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574 = -66*k + 112 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 515*i + 13137. What is k(-26)?\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 41. Let c(y) = 448326*y**2. Give x(c(p)).\nAnswer: -401992404552*p**4 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122414407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 31. Suppose f - q = -5*m + 2, -3*f + 20 = 4*m. Suppose 169 = 3*i - k - 25, 4 = -m*k. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422515201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -11, -8, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 q, and 1 n when four letters picked without replacement from vktnktkqntvqtntvnt?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 12 - 12)*(-61*r + 5*r - 10*r) + (0*r - r + 0*r)*(6 - 4 - 1) + 0*r + 0*r + 2*r.\nAnswer: -1121*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*f - 44 = 0, 5*u + 5*f + 10 = 90. Let h = 5 + -1. Solve -v - u = h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:15 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 10*b - 8. Let n be p(-8). Let z(f) = -f**2 + 9*f - 7. Let x be z(n). Solve -3*m - 5 = x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/210 - 7*j**5\/30 + 18*j**2. Find the third derivative of b(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**2\/21 - 13736*a\/21 + 369112\/7.\nAnswer: 2*(a - 86)*(5*a - 6438)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239578870?\nAnswer: 2, 5, 23957887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(4\/(-7)) + 1. Let t(c) = -c - 12. Let s be t(-11). Let d be (31 - 5) + s\/1. Solve 3*g - z*g = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -35*r**2 - 2*r**2 - 7*r**2 - 41*r**2 - 39*r**2. Let l(y) = -111*y + 0 + 109*y + 0. Give j(l(v)).\nAnswer: -496*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 125 - 89 = 2*m, -4*v + 5*m = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + -2. Suppose -3*y = 2*y - 15. Sort x, y, -2 in descending order.\nAnswer: y, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 25*d. Let s(t) = -5*t**2. Determine s(c(g)).\nAnswer: -3125*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d - 57*d - 68*d + 246*d - 58*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/(-2 + 8). Let c = -5 + 9. Let f be (24\/220)\/(21\/35). What is the second smallest value in v, f, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 100*v - 97*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*v - 0*f - f, 0 = 5*v + 3*f - 7. Find x such that -7\/5*x - 2\/5*x**v + 7\/5*x**3 + 2\/5 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(280)*1 + sqrt(280) + sqrt(280))\/sqrt(10))\/((sqrt(256) + sqrt(4))*1).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 196 = 63. Suppose -2*j - 6*p + v*p + 110 = 0, 4*j + 4*p - 244 = 0. What is the highest common factor of 95 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*z + 4 = 0, -2*y - 3*z - 1 = 2*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20340414*j**2 + 7161033.\nAnswer: -40680828*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.87459 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2. Let y(w) = 11*w - 8. Determine z(y(u)).\nAnswer: 121*u**2 - 176*u + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**5 + 108*r**4 - 668*r**3 - 892*r**2 + 672*r + 784 = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 + (0 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 2. Let t be p(1). Let o(h) = -6*h - 2. Let z(m) = -7*m - 3. Give t*z(x) + 5*o(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -9, 21\/22, -887?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 b, and 1 j when four letters picked without replacement from {b: 7, u: 2, j: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 68, 7163, 3 in increasing order.\nAnswer: -7, 3, 68, 7163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4682 divided by -2\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1.27?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3123 = 2*g - 3183, 0 = -g - 3*n + 15 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736304 is divided by 5986.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.525\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 4)*(2 + 1 - 4)*(3*b - 3*b - 2*b**3).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 172189.6nm in centimeters?\nAnswer: 0.01721896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37579070 is divided by 1342109.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1552 divide 195607081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10237 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 452132507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 90616504.\nAnswer: 271849512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 + (-7 - 0) - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -2*w**5\/65 + 3*w**4\/26 + 12*w**3\/13 + 4*w**2\/13 - 48*w\/13 - 147. Solve s(y) = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**4 + 4*d**4 - 5*d**2 + d**2.\nAnswer: 4*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from crxbyybcv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a - 74*a + 581208 - 583665 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*a - 12 = 0, -a = 4*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3186421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + y**2 - 426 + y**2.\nAnswer: 2*y**2 - 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j**(-8)*j)\/j)\/(j*j\/(j\/(j*j*j\/j**(2\/39)))))**(-4\/5) assuming j is positive.\nAnswer: j**(1396\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5557 + 6328. What is the remainder when z is divided by 194?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38.2 or -5898?\nAnswer: -38.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.1, 0.4, 1021, 21 in increasing order.\nAnswer: 0.1, 0.4, 10, 21, 1021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2, -8, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1021826719*s**3 - 48*s**2 + 22*s + 136961 wrt s.\nAnswer: -6130960314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10867\/4 or 2718?\nAnswer: 2718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3120 - 31?\nAnswer: a30ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 84*z**2 + 6488*z - 4980. Determine v(-78).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(4\/(-4)) + 0\/4. Let x be ((-4 - 3\/q) + 4)*15. Let h(r) = -r**2 + 4*r - 1. Determine h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - (279\/(-36) - -8). Which is the closest to 2\/7? (a) -40 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/49)\/3 - (-15)\/35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59208193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 1, -20, 492?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144161788 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 327*c**3 - 4*c**2 + 11*c - 2. Does 98 divide j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.02 (b) 1\/6 (c) 0.03 (d) -24 (e) 2 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 47555, 2, 1 in increasing order.\nAnswer: 1, 2, 47555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2860150 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w - 2. Let t(a) = -1. Let z(g) = -2*t(g) + x(g). Let s(c) = -c. Give s(z(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 51.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270 - 266 - (16 + 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1076)\/(-807)*(-2)\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icuigczzaicuuzau. Give prob of sequence ac.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10122 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6880538 divided by 23974.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a factor of 12733920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83.879 + 0.121. Let p = 89.82 - z. Round p to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1168 and 2851088.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7 - 3 - 6*b + 1 + 10*b. What is the units digit of q(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42837491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.545 rounded to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48746481 rounded to the nearest 10000?\nAnswer: 48750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2522714594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = r, -2*r + 12*z = 17*z - 4. Solve -5*m - 2*j - 35 = 0, 0 = -3*m + 4*j + r - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*j = j + 3, 2*j = 2. Solve 2\/3*q**2 + 1\/3*q**4 + 0*q + w + q**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 24*u**3 - u - 1. Let o(z) = -71*z**3 + 3*z + 4. Let j(d) = 7*c(d) + 2*o(d). Let p be 2 - 11 - -12 - 8\/4. Is 4 a factor of j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/5 (c) -2\/3 (d) 0.2 (e) 3\/2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w + 81 = 37*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*k - 3*m, -5*m - 51 - 6 = -3*k. Let g(y) = y**2 - 14*y + 1. Let t be g(k). What is the greatest common factor of t and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2953857 is divided by 812.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 3*d**2 + 9. Calculate the remainder when 43 is divided by j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/8)\/9*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 + -3) - (-7 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4428767947.\nAnswer: 37, 119696431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131.036 - 131. Let c = q - 4.036. Let b = -4.7 + 5. What is the third biggest value in b, c, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.549 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.5 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -4 - f - 5\/2*f**2. List the prime factors of m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.086 in -826, -0.2, 0.3, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190*t - 3*o - 4754 = 0, t - o + 2122 = 2116 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841463 is divided by 56095?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -574734.474 to the nearest 10.\nAnswer: -574730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -269 + 2*f + 885*f**2 - f**3 + 44 - 886*f**2 as z*f**3 + i*f + o*f**2 + n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = 13. Let v(d) = 6*d**3 - d**2 - 8*d - 1. Let y(g) = g**3 - g**2 - g - 1. Let m(w) = h*y(w) - v(w). Is m(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 769262, 769322, 769420, 769556, 769730?\nAnswer: 769942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 2. Let t = 2 - 6. Calculate the smallest common multiple of 10 and v(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*f + 55 - 21. Let s(j) = -2*j**2 - 15*j - 10. Calculate the smallest common multiple of 48 and s(f).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8486 + -8499.73. What is u rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j - 3. Suppose -8 = o - 4*w, -4*w + 3*w - 17 = -5*o. Suppose 2*g - 3*r = -6, o*g + 0 - 8 = r. Determine n(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 43. Suppose -3*n - 2*n - 1 = -4*j, n + 5*j = 23. What is the least common multiple of n and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28175 times -2251\nAnswer: 63421925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 + -2.08. Let v = -1.3 - -1.7. What is the nearest to 1\/4 in p, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1539*p**2 - 7. Let h(l) = 3080*l**2 + 12. Let a(d) = 3*h(d) + 5*s(d). Let i = 2 + -1. Is a(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21420 (base 6) to base 9.\nAnswer: -4053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*(-1 + 16). Let p = a - 3. Find the third derivative of p*i**2 + 4 - 2*i**3 - 4 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -7*l**5\/2 - 23*l**4\/3 - l**2 + 2*l + 1892. What is the third derivative of c(d) wrt d?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.2 (c) -9\/4 (d) -2 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*z - 14 = -p, -p + 3*z - 11 = 0. Suppose p*g = g + 1437549. Let s = g - -14020817. What is s rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w - 3. Let k be n(4). Let o be k\/(-3) - 2\/6. Let a(j) = j**3 + 8*j**2 + 5*j + 4. Is a(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**3 + 4*g**2 - 2*g + 2. Let o(x) = -x**2. Let p(m) = -6*o(m) - u(m). Let n be p(2). Let h = n - -33. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 + 66 = 5*w, -5*w + 2*o + 78 = 0. Let s be ((-30)\/25)\/((-9)\/30). Let h be (-165)\/(-5)*s\/6. Solve -4*k = 3*f + h, 0*k = f - 4*k - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:09 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 84614, -4, 171 in increasing order.\nAnswer: -4, 171, 84614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -25*w - 48. What is the lowest common multiple of 2 and h(-6)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, d: 1, l: 5, v: 1}. What is prob of sequence dvlm?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2368 and 705368.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 5, 1 in decreasing order.\nAnswer: 5, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812962 divided by 24?\nAnswer: 1906481\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t. Let h = 15 - 9. Suppose 0 = h*p - 3*p - 15. Let c(j) = 8*j**2 + p*j**2 - 11*j**2. What is r(c(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163.76069 + 10763.66769. Let y = 10609 - a. Let p = -0.107 - y. Round p to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 16*c**2 + 27*c + 16. Let j be g(14). Solve -x - 4*y - y = 21, 3*x = j*y + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5210521, 20842073, 46894659, 83368279, 130262933, 187578621?\nAnswer: 255315343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 21 + 3\/3. Let f = d + -15. Let n = 20 - f. Calculate the greatest common divisor of 121 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2*g**5\/5 - 137*g**4\/2 - 1160*g**3 - 7088*g**2 - 19072*g - 3415. Factor k(c).\nAnswer: 2*(c - 149)*(c + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 29 = 4*l, 2*b + 4*l - 1 = 3*l. Solve 2*o + r + b = 0, 3*o + 6*r = 2*r + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.397471 to three dps.\nAnswer: 0.397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let q be 0 + 2\/(4\/(-6)). Let m(c) = -2*c. Let s be -1*4 - -1 - (-14 - -18). Calculate q*m(h) + s*g(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 540 - 336. Let h be (6\/4*1)\/(9\/u). Suppose -3*n + 4*q + 95 = h, 0 = -2*n - 3*q + 52. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1)*(-8)\/8. Suppose 2*b + i = 2, -8*i + 3*i + 1 = b. Let u be b\/(0 - 2\/(-28)). Solve 2*g - 4*v + u = c, -1 = g - 0*v + 4*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 40*a - 23. Let j be q(29). Let h = 931 - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose 2*v + v - r = 89, q*v + r - 79 = 0. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 259*k**2 - 67081*k - 17373979\/3.\nAnswer: -(k + 259)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.08955\nAnswer: 5.08955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptptppqttpttpppppp. What is prob of sequence ptpq?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3.1. Let s = -0.1 - -0.9. Let m = s - 0.5. What is the nearest to 0 in m, 2\/15, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*j - 3*j - 5414, 4*r = 4*j + 10868. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 15217535?\nAnswer: 15217532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 62. Suppose 0 = 4*d + d + 60. Let w = n + d. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -16, 3*r - 396*u = -398*u + 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 - 3) - -3 - 302\/(-60).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*k - 26. What is the common denominator of k\/14*(-161)\/(-4) and ((-48)\/528)\/(1\/(-29))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in -2\/3, -0.4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -7 + 3 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1279 + 311. Suppose -615*v + 617*v - a = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-18)*(-27)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 12*s - 4*u - 68, -2*s + 80 = -u. Suppose -s*k = -38*k - 1020. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 34*t**2 - 36*t - 25. What is s(35)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2*o + 33 - 16 to the form y*o + i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 6:40 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5\/4 + 6365763*f**4\/4 + 1688466913863*f**3\/2 + 11819096521947*f**2\/2 - 16884923768385*f\/4 - 253266695066025\/4 = 0.\nAnswer: -1060957, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 2*f**3 + 3*f**3 + 1028*f**2 - 1028*f**2 + 2315*f**3 + (3*f - 4*f + 7*f)*(f - 3*f**2 - f) in the form o*f**3 + w + l*f + i*f**2 and give o.\nAnswer: 2296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1793610 divided by 730\nAnswer: -2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s + 14*s + 268 = -74*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*17)\/(4 + 7). Let l = -1\/22 - v. Let w(p) = -p. Let j be w(5). Which is the nearest to -1? (a) j (b) l (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6778520034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 186779?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**4 + 27063570*l**3 + 20345485296397*l**2 + 27127277643780*l + 9042421871844.\nAnswer: (l + 1503531)**2*(3*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131962 is divided by 43985.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/12)\/(-3*(-1)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 6:39 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5, -3*n = -4*x + 7*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4678084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4579366 is divided by 377?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -33*i**2\/2 - 30*i - 233. Let p be z(-1). Solve 8*k - 3*d + 5 = p*k, 0 = d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1740131 and 4911.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 1335, 3008, 5325, 8280, 11867, 16080?\nAnswer: 20913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u = 1238 + 197. What is the lowest common multiple of u and 212\/6 + (-2)\/6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -39, -3, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010659417 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*b - 2 = -17, b - 5 = 5*o. Suppose -a + 55 = 4*z, o = 3*a + 2*z - 3*z - 139. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 16. Let b be c(-4). Put 0, 66, b, 4 in descending order.\nAnswer: 66, 4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84891, -84900, -84923, -84966, -85035?\nAnswer: -85136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 45 - 65. Let a = 39 - z. Let p = 21 - a. Are 13\/5 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 38, 112, 238, 434, 718, 1108, 1622?\nAnswer: 2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/7, -0.1, 6\/47 in descending order.\nAnswer: 6\/47, -0.1, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(1\/22)\/(a*a\/a**0*a*a)**7)**(4\/11) assuming a is positive.\nAnswer: a**(-8620\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 j when four letters picked without replacement from {r: 4, j: 3, h: 4, w: 1, l: 2}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -10) + 1 + (1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let i = 10\/21 - 1\/7. Let s = -0.1 - 2.9. Sort f, s, i in decreasing order.\nAnswer: i, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {v: 8, o: 1, a: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (12 + 0 - -33) - (5 - 11).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5) + (7 - (-2 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -310 + 208. Let v = 1383.34803 + -1281.3469. Let h = m + v. What is h rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + (-7 + -2 - -7) - 46) + 14\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-14 - -1) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 402351115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/11)*(n*(n*n**(-5))\/n)\/n*(n\/n**0)\/(((n\/(n*n\/n**(-2\/19))*n)\/n)\/n)*(n*n**1)**12*(n\/((n**7*n*n)\/n)*n)\/n*n\/n**(-2\/5) assuming n is positive.\nAnswer: n**(17153\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - (-10)\/20. Let x(k) = -4*k**2 - 4*k**2 + k + 4 + 7*k**2. List the prime factors of x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {b: 1, i: 1, r: 1, o: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-93)\/(-2)*5\/15*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25574 is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 5, -4, 57, 230, 557, 1080?\n\"Answer: 7*i**3 - 28*i**2 - 2*i + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58286*c*h*l**3 + c*l**3 + 2*c - h*l**3 - 12*l**3 - 109*l wrt h?\nAnswer: -58286*c*l**3 - l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 546 - 510. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 3*d + 20. What is h(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -23 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -0.54977?\nAnswer: 0.0054977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let y be (-1 - 1)\/m + 1. Let z be y + (11 - -1 - -2). Calculate the highest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**7\/105 + o**5\/60 + o**2\/2 - 2. Let w(f) be the second derivative of r(f). What is the third derivative of w(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2257 + -2243. Solve -18*q = -m*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/7 + 4*d**4\/7 - 70*d**3 + 460*d**2\/7 + 1928*d\/7 - 272 = 0. What is d?\nAnswer: -17, -2, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1619 - 1619.00000557. What is d rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2)\/(1\/3). Let g be 3\/1 - (5 - 7)\/(-2). Suppose 3 = -g*i + 7. Solve i*k = -5*r + 10, r + 15 = z*k + 4*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 237 = -u, 0*q + 5*u = 4*q - 984. Let j = -238 + q. Solve -p = -0*p - 5*r - 6, 1 = 4*p + j*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 142714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 12668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*v + 125*v - 2405 = 86*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 598.2503 millennia?\nAnswer: 7179003.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/(-21) + 0. Let l = -41694 + 41689. Which is the nearest to p? (a) 1\/4 (b) -19 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 364?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11904*o**4*r**3 - r**3 + 2*r + 212 wrt o?\nAnswer: -47616*o**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w + 3 + 0*w - 72*w)*(4 - 6 - 2*w + 11*w)*(2 - 2 + 3*w).\nAnswer: -2646*w**3 + 669*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-31 + (3 - -7)) - -18\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6228 - 3387. Let d = u + -1936. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.6 - -18. Let p = -2\/307 - -931\/1535. Sort u, -0.5, p.\nAnswer: -0.5, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80225544.\nAnswer: 2, 3, 7, 68219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 4:51 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18918?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 3*f - f - 4 + 4 + 4*f - 2*f + 0*f + (-1 + 2 - 2)*(f - 2*f - f) - 3*f + f + f + 0*f - f + 3*f)*(-4*f + 0*f + 2*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163130 by -16313.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9125*m**2 - 584*m. Let q(t) = -78*t**2 + 5*t. What is 5*i(o) + 584*q(o)?\nAnswer: 73*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37\/6 + -11\/2. Which is the third biggest value? (a) 5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*u + 16, -26*c + 23*c + 5*u - 29 = 0. Let y be (-104)\/(-91) - c\/7. Put -1, -74, -0.1, y in ascending order.\nAnswer: -74, -1, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-11 + 6)) + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3\/7 + 1075344*x**2\/7 - 6760320*x + 172083200\/7 = 0.\nAnswer: -268880, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.13 - 0.13. Let b = 24 + -35. Let m = l + b. Which is greater: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9937 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 - 314*f**2\/9 + 1828*f\/9 - 2416\/9.\nAnswer: 2*(f - 151)*(f - 4)*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 + -275. What is the remainder when 15 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -24. Suppose -a = -4*a - 42. Let t = a - g. Calculate the highest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-28) - (90\/(-49))\/(-6). What is the third smallest value in 5, -1, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*u**2 + 460*u**2 - 328*u**3 - 860*u**3 wrt u?\nAnswer: -7128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(2) + 3))**2 + sqrt(8)*6 + 3.\nAnswer: 30 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + d + 44 = 0, -44 = 4*k + 2*d + 3*d for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4063410 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 102*l**2 - 442*l - 24367. Give a(-100).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5542787 (base 9) to base 2\nAnswer: 1011010111101110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-348)\/19778*31)\/(0 - 6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 482016193?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 3, r: 1, m: 5, d: 1}. Give prob of picking 1 m and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 4\/29 (c) 15 (d) 11.4 (e) 0.1 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 0)*-4 + -2*(sqrt(128) - sqrt(128)*-1))**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**6*o - 24*c**4*o - 3*c**3*o**2 - 4*c**2*o**2 + 77*c**2 wrt c.\nAnswer: 600*c**3*o - 576*c*o - 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -81155 (base 9) to base 3\nAnswer: -2201011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 60271971?\nAnswer: 301359855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*l = l + 74, 4*j = -4*l + 120. Let z(r) = 4 - 2 - 5*r**2 - 3*r + j*r**2. Let a be z(1). Calculate the highest common factor of 50 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2. Let n(u) = -14*u**2 - 45. Calculate n(p(f)).\nAnswer: -56*f**4 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -47*o**3 + 2*o**2 + 3*o + 1. What is the tens digit of u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*s - 85. Let g be s\/4*1\/2. Find the second derivative of -k**3 + 5*k - 2*k - g*k wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 - 622*j**2 - 1143*j + 20509. Determine g(209).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*q = -28, d + 4*q = -d + 4. Let k be d\/(108\/(-6))*6\/4. Sort k, 1, 6\/47 in increasing order.\nAnswer: k, 6\/47, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = -8, 26 = 2*x + 3*j. Suppose 108 = t - x*t. Let b = t - -18. Solve -q + 2*h + 12 = b, 2*q + 16 = -0*q - 4*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2 - 16*d - 16. Let w(u) = -u**3 + u**2. Let t(m) = c(m) - 3*w(m). Determine i, given that t(i) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123157*p - 263369?\nAnswer: -123157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 125*p**2 - 35*p - 3011. What is the tens digit of o(123)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1173312 and 733320.\nAnswer: 5866560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - m + 2. Let i be w(0). Suppose 0 = p + i - 6. Suppose 22*j + 8*j - 420 = 0. Solve 0 = -2*o - 5*f + j, 3*o - p = -0*f + f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 4*a - a - 7*a**2 + 11*a**2 + 642 + 95 as c*a**2 + w + m*a and give w.\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/39*117156\/(-20277)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 9*n**2 - 16*n**2 + 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65552195 by -13110439.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836)*2 + sqrt(51) + sqrt(51))\/(-4*sqrt(3)*-2).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -80990?\nAnswer: 1619.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 27916?\nAnswer: 307076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Let f(z) = 2*z + 1. What is the tens digit of f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:12 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u - 127*u = l - 8, 88 = 23*u + l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/34 and -67\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -30*y - 9. Let x(z) = z - 3. Let b(u) = -r(u) + 3*x(u). Let k(t) be the second derivative of -t**3\/3 - t. Calculate b(k(h)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*x - 25*x - 7*x**5 + 53*x wrt x.\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11799167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5673536*g. Let f(v) = 6*v**2. Calculate f(j(c)).\nAnswer: 193134064459776*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a + 337 - 156 = -346 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16455895.\nAnswer: 5, 3291179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 - -1 - (3 + -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*14\/168*28*396\/(-42).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91072?\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.72431t in milligrams?\nAnswer: 43724310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 34*i - 12*i = 16*i + 7*i + 11, 0 = 10*t - 11*i - 25 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9496636 is divided by 1192.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1555 - g**2 + 1380 - 1759 - 1809 in the form h*g**2 + x*g + o and give o.\nAnswer: -3743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-9)\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.053 - -0.002. Let l = i + 0.131. Let y = 4.92 + l. Which is the closest to -0.2? (a) 2 (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 7*m**2 - 3*m**2 + 3*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2731*x - 26 - 1 = -2722*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31791 (base 13) to base 11\nAnswer: -61004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*b. Let z = 1 + b. Factor -z*t**3 - t**3 - 2*t**3 + 2*t - 3*t**2.\nAnswer: -t*(t + 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/137, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.327543235 to 0 decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**6\/60 + 7*u**5\/120 + u**4\/72 - 7*u**3\/36 + u**2\/6 + 90*u. Suppose t(r) = 0. Calculate r.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/11 + 134*s**3\/11 - 7442*s**2\/11 - 84974*s\/11 - 77400\/11 = 0. What is s?\nAnswer: -100, -9, -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q = 2187000. What is q rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 71 + 32. Suppose -859 + f = 3*g. Is 10 - 9 - g\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.44 - 0.56. Let k = 0 + 3. Let a = k + w. Which is smaller: a or -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - 2*j**2 - 2*j**2. Let i(u) = 2*u**2 - 5*u. Let l(k) = -13*k**2 - 6*k + 0*k + 15*k**2. Let s(q) = 6*i(q) - 5*l(q). Give s(p(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89, 91, 93, 95?\n\"Answer: 2*u + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 plus 839526?\nAnswer: 839516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (12 + -12) - (-11 + -16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/633?\nAnswer: -2\/633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d**2 + 7*d - 10. Let o(w) = -9*w**2 + 6*w - 9. Determine -4*c(n) + 5*o(n).\nAnswer: -n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8)\/(-28) + 33\/(-105).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*q + 51. Let p be 8\/(-28) - q\/14. Let d be (2 + 0\/p)\/(-7). Is 0.4 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * 1691353\nAnswer: -3720976.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 103. What are the prime factors of (582\/9)\/(j\/(12\/(-8)))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**7\/105 - 16*h**6\/75 - 23*h**5\/25 + 24*h**4\/5 - 27*h**3\/5 - 3041*h + 2. Factor a(y).\nAnswer: -2*y*(y - 1)**2*(y + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638070 divided by 1.\nAnswer: 638070","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -0.8 (c) -22 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 116, 214, 1 in increasing order.\nAnswer: -2, 1, 116, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:39 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 7416*z - 14829.\nAnswer: -3*(z + 2)*(z + 9886)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/10 - (-4)\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 199680?\nAnswer: 199680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 27*j = -26*j + 104, -4*m + 108 = -2*j. What is the remainder when 872 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1922 and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400 is divided by 987?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4+-0.15368\nAnswer: -4.15368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 35 = -485. Suppose a = -10*y + 12*y. Let k = y + -58. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 58, 0.1, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2*n + 14 = 0, n + 7218 - 7215 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**3 + 5*p**2 + 3*p + 2. Let v(n) = 3*n**3 + 3*n**2 + 2*n + 1. Let i(g) = 4*b(g) - 9*v(g). Let l be i(8). Suppose -38 - l = -w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = h - 0*h. Let u(b) = -4 - 4 + 2*b**2 + 2*b + 4. What is the remainder when h is divided by u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15016 - 4*i + 15016. Let w(j) be the second derivative of j**3\/3 + j. Calculate w(n(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 474306*h - 28925224.\nAnswer: -2*(h - 237092)*(h - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from fjlyblflbbjblfyfb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-424)\/7632)\/((-182)\/(-252)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -877*p**2 - 1028*p + 1215. Find the first derivative of c(r) wrt r.\nAnswer: -1754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000170819 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*b - p - 0*p, -11*p = -b - 49 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 745536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/(6*(-6)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 11*f + 6. Let u be x(-6). Suppose -4*t + 23 - 3 = u. Factor 2\/11*d**t + 0*d**4 + 2\/11*d - 4\/11*d**3 + 0*d**2 + 0.\nAnswer: 2*d*(d - 1)**2*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565289.\nAnswer: 565289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 13*n + 375. Let h be n\/100 + -2 + (-11)\/(-4). Suppose 1 = -3*f + 7. What is the greatest common factor of f and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93 - 9b?\nAnswer: -12e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*g + 2 = 5, 2*k - 23 = -g. Let h be -44*(k\/4)\/(-3). Suppose -2*z - 5*o + h = 0, -4*z - 3*o = o - 36. Let p(s) = 3*s - 5. Give p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2830*s**4\/19 + 48128*s**3\/19 + 45586*s**2\/19 + 288*s\/19 = 0.\nAnswer: -16, -1, -9\/1415, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = 2*i, -74*i - 4*n = -60*i - 396. Calculate the remainder when i is divided by 54\/7 + (-2)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:22 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(68) + 0 + sqrt(68) + sqrt(68) + sqrt(68) + 5 - (1*sqrt(68) + 4 - (sqrt(68) - sqrt(68)*1)*6)))**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*f - 1, f - 4*f - 15 = 0. Suppose 2*o - w = -14. Is (o\/5)\/((-3)\/75) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274357064 - 0.79?\nAnswer: -274357064.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/276003 and -37\/16848.\nAnswer: 39744432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -6*z - 8*z. Put z, -2, 4, 2 in decreasing order.\nAnswer: 4, 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 35*p**2 - 20*p - 61. Determine i(-8).\nAnswer: 2339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(900) - sqrt(36)*-2)\/(3*sqrt(12)*-6))**2*-3.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2829*i + 30 = 2832*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/6 + 3426*z + 17606214 = 0. What is z?\nAnswer: -10278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 621, 684, 747, 810, 873?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -1\/33*x**3 + 0*x**2 + 0 + 1\/66*x**4 - 4*x. Factor d(c).\nAnswer: 2*c*(c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = z + 4*d - 31, 192 = 5*z - 4*d. Suppose -398 = -4*n - 5*p, 741*n - 742*n - 2*p + 95 = 0. Calculate the remainder when n is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + o - 22 = 0, 2*p - 5*o + 2 = -0*p. Calculate the smallest common multiple of 11 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - f = 4, 2*m - 5*f + 29 = 10. Suppose -3*a = a - 20. Suppose w - a*w - 71 = -m*p, -p + 27 = -2*w. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.457213 times 3\nAnswer: -70.371639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80955434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -171, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 263638483?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -190.702 * -0.124\nAnswer: 23.647048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 0*v = -79740 - 363780. Is v a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/723 (b) -0.2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117476, -469898, -1057174, -1879226, -2935976, -4227346, -5753258, -7513634?\nAnswer: -9508396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654*c + 27 = -2663*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -89\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -112, -118\/5, -1, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 1. Suppose 53 - 13 = 4*u. Suppose 4*d + u = 2*g + n*d, 5*g - 5*d = 15. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -3*u**2 + 3*u - 2. Does 15 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-6)*3*(-3471 - 11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.6 (b) 0.3 (c) -27.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, 6, 411, 1300, 2835, 5178, 8491?\nAnswer: 12936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4322 times 0.1073?\nAnswer: -463.7506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10140313022112 - 1?\nAnswer: -10140313022113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 6*y**2 - y + 6. Let p be v(6). What is the third derivative of 0 + p + 8*z**2 - 4*z**4 - 5*z**2 wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 6*b. Suppose 4*c = 3*c + 5*g + 15, 2*c + 5*g - 30 = 0. Solve -4*z + b + 4 = 3*p, 3*z - c = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -72, 5, -5, -7, 8 in descending order.\nAnswer: 8, 5, 1, -5, -7, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022207191.\nAnswer: 659, 1087, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -235*w + 475*w - 238*w - 2. Calculate h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(3*40\/(-48)). What is the closest to -2 in 0, -2\/11, k, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6)*c)**(-36) assuming c is positive.\nAnswer: c**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2))\/sqrt(8))**2*-3*4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2 + 19*v + v**2 + 13 + 3*v to the form w*v + s*v**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 31*i**2 + 39*i - 54. Let n be j(29). Suppose -4*p + 5355 + n = 2*m, 0 = 4*m - 4*p - 16252. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7901, 7879, 7833, 7751, 7621, 7431, 7169?\n\"Answer: -2*d**3 - 8*d + 7911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 11*a + 319*a**2 + 289*a**2 - 45*a**2.\nAnswer: 563*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*q - 28. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/14 + 145\/(-2). Let c = x + 78. Solve -3*h + 0*h = -c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4270 + 4270.05081. What is p rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*a**2 - 128*a**2 - 155*a**2 + 4*a - 4*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144116363 (base 7) in base 6?\nAnswer: 540413415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 37 = -g - 3*s, 0 = -6*s - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 271, -207, -965, -2051, -3513, -5399, -7757?\nAnswer: -10635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 - 172. Suppose 0 = 3*o + x*n - 359 - 534, -4*n - 1513 = -5*o. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:53 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12)*38\/(798\/(-35)))\/(10\/24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddqddddqd. Give prob of picking 1 d and 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 41*q**2 - 7*q + 1. Suppose m + 12 = -s + 31, 4*m - 103 = 5*s. Let y = 30 - m. Is d(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -461*-9339\nAnswer: 4305279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/(58520\/(-855)))\/(14*3\/48)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**3 - 2*l**3 + 6*l**3)*(2*l + 0*l - 5*l)*(5 - 18 - 6) + 0*l**4 - 2*l**4 + 0*l**4.\nAnswer: -173*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/10)*d)**(-2\/21)\/(d**22\/d*d*(d**(-13)\/d*d)\/d) assuming d is positive.\nAnswer: d**(-851\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(1700) + -2 + 5 - -6*(5 + -2*sqrt(1700)*4)) + 4)**2.\nAnswer: -44400*sqrt(17) + 6121369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 144683 + 9790 = 0. What are the prime factors of q?\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 35*k + 2*k**2 + 9*k**2.\nAnswer: 10*k**2 + 35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 10*u - 12. Let h be z(-8). Let r(k) = k**3 - 4*k**2 - k - 5. Let q be r(h). Let j be 15\/q*42\/(-35). Solve j*w - 3*w = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (185\/(-25))\/((11 + (-12 - 0))\/5)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 16*u**2 - 57*u + 27. Let a be i(11). Solve 3*z + 0 + 9 = -5*f, a*f + 19 = 2*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - ((29 - (-6 - -16)) + -35 + 23).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -1\/2, -3\/5, -12, -301?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/12)\/((-1 - -7)\/5556)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -45, 0, 64, -18, -4.\nAnswer: -45, -18, -4, 0, 1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 7*g + 3. Let z be i(6). Is (z + 1)*879\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {t: 3, q: 3, i: 2, g: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5*2\/4)\/((-2)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20\/(-230) - ((-5720)\/16)\/(115\/240)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -53\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5667*i**3 - i**2 + i - 92.\nAnswer: -34002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 464216*m**3 + 4*m**2\/5 = 0?\nAnswer: -1\/580270, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 41. Let y(a) = 6*a + 5. Let v be y(f). Let o = v - 11. Let u(d) = d**2 - d + 11. Calculate u(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) 0.1 (c) 5 (d) -0.5 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2530 divided by -230\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from ooojjjooojoooooj.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1466*q**2 - 4*q + 7. Let w be k(2). Let l = w + -175819\/30. Find the common denominator of l and 50\/69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.694 + -0.6. Let s = -0.024 + x. Which is the fourth biggest value? (a) 3\/5 (b) -1\/8 (c) s (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2392, 4908, 7780, 11008, 14592?\nAnswer: 18532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -2872, 0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965 is divided by 310?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 799 + -247. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 5*d**3\/3 - 9*d**2\/2 + 9*d. Suppose g - 3*g + 8 = 0. What is the units digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/4 and -1 - ((-31)\/11 + 1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c12dbe (base 16) in base 6?\nAnswer: -1131203502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (1 - 2) - (0 - 1)) + 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*h**2*y - 1567*h**2 + 2*h*y - 3*h + 255*y - 257 wrt h?\nAnswer: -352*y - 3134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1))\/g*g)**(-5\/3))**(-28)*(g**(4\/5)*g**(-5)*g)**(2\/5) assuming g is positive.\nAnswer: g**(-32\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -130. Let v = s - -15. Let r be v\/(-25) + (-24)\/110. Which is the third biggest value? (a) 0.11 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = 14*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*c + 29. Let o be -4 - 7\/(c\/(-4)). What are the prime factors of (o\/(-6))\/(6\/261)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14\/45 + -4\/45. Let x be -1 - 5 - -1 - 11\/(-2). Let h = 21 + -103\/5. Which is the closest to h? (a) 4 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.161259 and 0.3?\nAnswer: -1.2483777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 10:19 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 32 = 5*h - 12, 4*h = -5*l + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 (base 12) in base 13?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45058 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48b - b?\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 1, -30, -85, -170, -291?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374*k - 1446*k - 2403*k - 106745 - 187780 = 0 for k.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4596 is divided by 2284?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(15\/50)\/(6\/(-8)). Let b be ((-6)\/2)\/(3\/z). Determine y, given that 20\/7*y**b - 10\/7*y - 2\/7*y**5 + 10\/7*y**4 + 2\/7 - 20\/7*y**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003958426 rounded to five decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 28 - 16. Solve 2*a - 4*a - 9 = p*s, -5*s - 15 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, 3, -4, -14, 0 in ascending order.\nAnswer: -14, -4, 0, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 349287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a + 4. Let d(k) = -10*k + 3. Let w(f) = 4*d(f) - 3*o(f). Let i(p) = -p**2. Give w(i(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108710933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 8 + 29*10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p - 8 = 30*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4144.821nm in kilometers?\nAnswer: 0.000000004144821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2416323?\nAnswer: -2\/2416323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*g + 3570, -9*q - 3568 = -4*q + 4*g. Let n = q - -32038\/45. Let t = n - 221\/90. Which is the smallest value? (a) 0.2 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ooiiloidifljoioii?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from qvy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011010 (base 4) in base 14?\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27103, 27068, 27031, 26992?\nAnswer: 26951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, r: 5}. What is prob of sequence rtrr?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 858 = 8*k + 6*k + 30*a, 3*k = -a - 245 + 63 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -y - 1804, c - 392 = 2*y + 66. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/360 + o**5\/60 + o**3\/3 - o**2. Let u(d) be the first derivative of r(d). What is the second derivative of u(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1500 divided by 250\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 36797993.03 to the nearest 100000.\nAnswer: 36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (-2*(sqrt(1573) + -1) - sqrt(1573) - sqrt(1573) - sqrt(1573))*5) + -2)**2 + -5.\nAnswer: -5500*sqrt(13) + 983220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 5*t + 10*t - 1 + 7. Is 26 a factor of q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885793?\nAnswer: 885793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 46*d**2 - 4*d - 7. Let n be t(-2). Let q = n + -177. Let j(i) = -i**2 - 6*i - 5. What is the least common multiple of q and j(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63344678473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 3}. Give prob of sequence qddq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i + 0*i + 8*i**3 - 7*i**3 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/13 + 3688*p**2\/13 - 14776*p\/13 + 14784\/13.\nAnswer: 2*(p - 2)**2*(p + 1848)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 8 - (7 + 4) - -283.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 6*d - d - d**2 + 1. List the prime factors of v(5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 1160, 2627, 4684, 7331, 10568, 14395?\nAnswer: 18812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2)\/(-6) - -1. Suppose l*j = -0*j. Solve -3*t + j*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 - 435\/(-21). What is the highest common factor of v and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*v**2 - 204*v - 118*v**2 + 309*v - 108*v.\nAnswer: -259*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 - 2*x + 2*x)*(2 + 0 - 3)*(-7 + 2 + 1) as y*x**2 + l + i*x and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**7\/f*f)\/f**8)\/(f\/(f*f**(-4))*(f\/f**1)\/f))\/((f**(-2\/5))**(-15)\/(f*f**1)**(-1\/33)) assuming f is positive.\nAnswer: f**(-299\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8\/55 - 1\/22. Let r be 1*(-2)\/4 - (72 + (-2900)\/40). Is v less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -13213?\nAnswer: -13203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 10368*i**2 - 504723*i + 515088 = 0. What is i?\nAnswer: -49, 1, 3504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3209 divided by -318?\nAnswer: 3209\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36244*p**4 - 21209.\nAnswer: -144976*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/24 (c) -5\/6 (d) 27\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27859466*w**2 + 51370874 wrt w?\nAnswer: -55718932*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -29. Suppose 0 = -5*n + 3*s - 142985, a*n + 4*s - 28580 = n. Round n to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 7*m - 9*m + 1384 = 0, -10*s + 10*s + 3 = -3*m for s.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10657 = o - 10628, -7*r - 13 = o for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5237*g**2 + 3*g**5 + 5097*g**2 + 13*g**5 wrt g.\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -150*z. Let w(a) be the third derivative of a**4\/24 - 14*a**2 - 2. What is w(l(o))?\nAnswer: -150*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 0*c**3 - 5*c**3 + 2*c**2 - 5*c**3 + 2*c**3 to the form u*c + h*c**2 + l*c**3 + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -4\/3*h**3 - 6 + 1\/4*h**4 + h**2 + 4*h. Calculate o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 366 - 360. Let x = -5 + 27. What is the smallest common multiple of x and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916280353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40*4\/32*4. Suppose -3*j + r = j. Suppose 0 = l - 4, -q + 2*l - l - j = 0. Sort q, 0, -2.\nAnswer: -2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.34215 or -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 182*i**3 + 1288*i**2 + 22*i + 4. Calculate s(-7).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -4\/5, 2\/13, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - -36*10\/(-150)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + s**5 + 0*s**5 + (0*s - 2*s + s)*(0*s**3 - 2*s**4 + 0*s**3) - 12*s**5 + 30*s - 30*s + (2 + 2 - 2)*(5*s**5 - s**5 - 2*s**5).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Calculate the remainder when 67805740 is divided by 1241.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a factor of 5965800655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 + 19*j + 39. Let z be n(-7). Solve -3*o = 3*c + 21, 0 = -5*c + z*o - 3*o - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h + 1. Suppose 4*k = 62 - 6. Suppose 2*y = -u + 59 - k, 5*u = -2*y + 33. What is the remainder when y is divided by l(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166909783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -5*d. Let k(j) = -5*j - 5*j**2 + 4*j**2 - d*j**2 + 2. Let x(m) = -4*m**2 - 6*m + 2. Calculate -6*k(y) + 5*x(y).\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-136 - -142).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 2*a**2 + 1. Let y(j) = -2*j**3 - 5*j**2 + 2. Let b(r) = r**2 + 3*r + 6. Let m be b(3). Let n = m + -14. Determine n*i(w) - 4*y(w).\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u - 8 = 0. Let c be (-12)\/u + 3 + 0. Solve 3*g + 6 = 2*w - c*w, 0 = 2*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152 + 169 - (1 - 19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:39 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -1\/24*t**4 + 0 + 2*t**2 - 1\/120*t**5 + 1\/360*t**6 + 0*t - 1\/3*t**3. Let x(d) be the first derivative of k(d). What is x(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 - t**2 + 4*t**2 + 20*t**3 - 19*t**3 - 4*t**4 + 2*t in the form g*t**2 + f*t**4 + y*t**3 + j + l*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2 + 575*z - 9. Let o(r) = r**3 + 6*r**2 + 576*r - 6. What is -2*j(g) + 3*o(g)?\nAnswer: 3*g**3 + 578*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 42. Suppose z + 4 = -b. Let v = z - -37. Calculate the highest common factor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012200 + 1200?\nAnswer: 2021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3285\/32176 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4317026 is divided by 6601?\nAnswer: 6573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6949 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + (0 + sqrt(243))*3 + 0)*6.\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209 + 208.13. What is u rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 4\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -51*s**2 - 2 + 0*s + 0*s**3 + 1\/12*s**4. Let f(b) = 30*b**2. Give f(p(n)).\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 2*o**2 + 5*o + 1. Suppose 4*q + 3 = 3*t + 5, -3*q + 12 = 3*t. Let h be f(t). Let v(s) = -4*s**2 - 52*s + 3. Is v(h) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*i + 575 = 584, 0 = 5*m - 2*i + 68. Let n(u) = 6*u + 96. Calculate n(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111 (base 2) in base 3?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/6)\/(((-178)\/(-445))\/(8*3\/(-30)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/42 - (-7 - -8). Which is the nearest to -0.1? (a) 3\/4 (b) p (c) -3 (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108466 divided by -193.\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 629c (base 16) to base 6\nAnswer: 312512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 389449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*m + 5196. Let q = -117 - m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11348 and 2087090116?\nAnswer: 11348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 6*b**2 - 2. Let f be p(-6). Let u = -1 - 1. Are u and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 25 - 24*x + 22.\nAnswer: -24*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) -2\/59 (c) 2 (d) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*s - 2*s - 1178, -n - 2*s = -297. Let d = 1614 - n. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k + 3. Let c be b(2). Suppose 5*p = -5*r - 5, -4*r + r = -2*p - 7. Sort p, c, 1.\nAnswer: c, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3357 = i, -i + 11490 - 3105 = 5*s. Suppose -6*u + 2*u = -s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -10. Solve 0 = o + 2*i - p + 5, 2*i = -2*o - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40*135590\nAnswer: -5423600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.36611 millilitres in litres?\nAnswer: 0.08136611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -13*r + 32. Suppose 3*t + r*l = -2779, 5*l - 3726 = t + 3*t. Let u = t + 1960. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Let z(v) = 324*v**2 - 544*v**2 - 4 - 3 + 221*v**2. Give z(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 84 = 11*m. Let x = -26 + 23. What is the closest to -0.1 in m, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (254 + 3*t + 73 - 355)*(-3*t + 2*t + 3*t).\nAnswer: 6*t**2 - 56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 3*b + 2*x, -x = 0. Suppose -b*w + 6 = -0, -5*u - 4*w = 113. Is 2\/5 + (4 - 29015\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 + 5*k**3 - 13 - 3*k**3 + 3 + 0*k**3 - 18*k.\nAnswer: 2*(k - 5)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 7\/2*o**4 + 0*o**2 - 18*o + 16 + 0*o**3. Differentiate l(u) with respect to u.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -12 (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-59520)*-24*4.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - 3 + 3)*(-1 + 2*u**3 + 1) - 3*u**2 + 3*u**2 + 3*u**4)*(2 + 11 - 2).\nAnswer: 77*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*s - 2*s - 240*s - 60 to i + q*s and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2. Let b(z) be the second derivative of z**4\/24 - 3*z**2\/2 - 9*z. Let p(c) be the first derivative of b(c). Calculate d(p(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.232953634 rounded to one dp?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3026261 or 3026259?\nAnswer: 3026259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4355 is divided by 843.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119*27\/459)\/(-2)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3 + 3)*(-2*w**2 + 5*w**2 - w**2) + 61987*w**2 - w + 4*w - 7*w**3 - 61960*w**2 + (0*w**2 - 3*w**2 + 2*w**2)*(w - 3 + 3) + 2*w - 2*w + 2*w**3.\nAnswer: -8*w**3 + 27*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060623551 rounded to four dps?\nAnswer: -0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 20, 2*j - 27*s + 23*s = 56. Solve -5 = 17*d - j*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 5*z - 1560. Which is the third biggest value? (a) -4 (b) z (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10*d - 6*d + 18 = 0, -4*m = -d + 18. Sort -2, -1, m, 0, 0.6.\nAnswer: m, -2, -1, 0, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10637 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.2 (b) -0.5 (c) 0 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*k**2 - 51*k**2 + 7 - 5 + 11*k + 2*k**2 - 2*k**2 + 2*k**2 + (1 + 2*k - 1)*(-4*k + 6*k - 4*k) + 4*k - 4*k - 2*k**2 - k**2 + 0*k**2 + 3*k**2.\nAnswer: -8*k**2 + 11*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4136, 6626, 9116?\nAnswer: 11606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2413, -4767, -6965, -8929, -10581, -11843, -12637, -12885?\nAnswer: -12509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 41*x**3 - 20*x**2 - 6*x + 32. Let g(l) = 14*l**3 - 7*l**2 - 2*l + 11. Let v(r) = 17*g(r) - 6*w(r). Let i be v(7). Is i\/(-18) + 6\/(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 60*i - 203. Does 5 divide v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 6*k**2 - 8*k + 7. Calculate the lowest common multiple of 39 and p(3).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhr when three letters picked without replacement from hrhrjmr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 + 0 = p, 3*p - 3 = 0. Calculate the greatest common factor of g and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -8.21\nAnswer: -16.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26553 is divided by 736.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/390 and -19\/154453?\nAnswer: 4633590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 378190\/15*(-1 - (-40)\/16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/246 and -53\/2.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -923*o. Let f(k) = -2*k**2. Give h(f(d)).\nAnswer: 1846*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**8\/6720 - o**5\/60 + o**4\/12 + 3*o**2. Let u(s) be the second derivative of q(s). Differentiate u(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = -5, 2*g = -5*r - 21. Suppose 5*n - g*x = 4, -2*n = 2*n + x - 11. Find the third derivative of -4*v**n - 5*v**2 - 4*v**4 + 7*v**4 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193 - 962\/5. Let d = 0.1 - 46.1. Let v = d + 51. What is the second smallest value in k, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d*d*d*((d*d*d**(-4)*d)\/d*d)\/d*d))*d)\/(d\/d**(2\/11))*((d\/d**(3\/7))\/d)**(-1\/5) assuming d is positive.\nAnswer: d**(1258\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -2\/52927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*g**3\/7 - 846*g**2 - 80364*g\/7 - 136440\/7 = 0. What is g?\nAnswer: -10, -2, 2274\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40*((-88)\/(-20) - -2). Suppose 5*t - j = -26. What is the remainder when t is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 564852.\nAnswer: 564855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 351395, 2, -29, -3 in increasing order.\nAnswer: -29, -3, -2, 2, 351395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -32b8 (base 14) in base 11?\nAnswer: -6668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/4, -3, -80?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - sqrt(462)\/(sqrt(22)\/sqrt(2))) + -1*sqrt(5082))\/(5*sqrt(726)*2 + sqrt(726))*-6.\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -174093.\nAnswer: -174093.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11011001011010110111 (base 2) to base 3\nAnswer: -1200020121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221998788?\nAnswer: 2, 3, 11, 439, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60 + 29 - 65*v - 7*v**3 + 69*v - 308 + 345*v wrt v?\nAnswer: -21*v**2 + 349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883770837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65011 is divided by 1683?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 289935 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 85. Which is bigger: 2\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56217075 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -3*s. Suppose s*i + i = -2*u, u + 1 = -2*i. Let l(o) = -3*o - 2*o**i - 2 + 1 + 4*o + 2. Determine l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*(-24)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 90 = -6*s. Sort s, -4, -7.\nAnswer: -7, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/567 and -76\/440073.\nAnswer: 3080511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-26)\/156). Suppose y*r = 6*r - 32. What is the greatest common divisor of r and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, v: 2, c: 1, z: 4}. What is prob of sequence jb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -770326.\nAnswer: -3\/385163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16320\/180 + (-8)\/12 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 309 + 258 = 2*i, -5*i - 3*m + 1427 = 0. What is the greatest common divisor of 130 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 10*j - 98. Let o be h(6). Put -4, 7, o, 2, 5 in ascending order.\nAnswer: -4, o, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -3\/8 (c) 1 (d) -8 (e) 0.04 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2964, 3452, 3938, 4422?\n\"Answer: -w**2 + 491*w + 2474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 7*m + 2. Let w(a) = -a**2 + a - 1. Calculate 2*f(r) + 6*w(r).\nAnswer: -2*r**2 - 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1077 - -1.0077. Is s at most 1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16568399 is divided by 3863?\nAnswer: 3855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/101? (a) 14\/3 (b) 0.4 (c) -3\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2\/3 (b) -3 (c) -0.029779\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/120 + 2*t**5\/15 + 3*t**4\/8 + 5*t**3\/6 - 12*t**2. Suppose -34*o + 42*o = 22*o + 98. Give h(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - 0 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -60. What is the lowest common multiple of c and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63155*y - 2 - 39054*y + 2.\nAnswer: 24101*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Let z(a) = 4*a + 0 + 2 - v. What is the units digit of z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 699*k**4 + 5885*k**2 + 206253 + 3*k**5 - 206253 wrt k?\nAnswer: 180*k**2 + 16776*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggdggg. What is prob of sequence gd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*a - a + 8 + (57 - 19 - 158)*(2*a + a - a) - 7*a + 3*a + 6*a.\nAnswer: -241*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25842020 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6*21177\/(-9412)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7369 or 7371?\nAnswer: 7371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -1742*n**3\/3 + 610*n - 919. Find the first derivative of r(c) wrt c.\nAnswer: -3484*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 85. Suppose 8*c = 56 + v. Let m = -25 + 55. What is the remainder when m is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 24865356?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + -13 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-462)\/(-189)*(-17 + (470603\/(-736))\/(-37)).\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - a**4 - a**3 + 2*a**3 + 168*a**5 - 169*a**5 + 0*a**2.\nAnswer: -a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydy when three letters picked without replacement from {n: 1, d: 2, y: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -860 + -1303. Let a = 480 + g. Let n = a + 1682.99999221. Round n to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166.3 + 57.7. Let h = x + 110. What is the nearest to 0 in 1, -3\/4, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 7:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/4? (a) 2\/33 (b) -0.3 (c) -1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = 5*t, -6 = 3*t - 4*t - 3*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1385)\/554)\/(10\/56)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 7*m**2 + m - 7. Let j(x) = -6 - 10*x + 15*x - 6*x**2 - 4*x. Let z(y) = 7*j(y) - 6*l(y). What is z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*3 + sqrt(2) + (sqrt(98))**2 + -2.\nAnswer: 25*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39982 = 9*x - 14063. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from ttntttttnn?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054222 to 7 decimal places.\nAnswer: -0.0000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -3, 5, 3 in descending order.\nAnswer: 5, 3, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8)**(-1\/43)\/(q*q**(-9))**23)**31 assuming q is positive.\nAnswer: q**(245024\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1744 divided by -44554.\nAnswer: 872\/22277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*2*7\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4338 divided by -6\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3, 165, -4 in increasing order.\nAnswer: -20, -4, 3, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*k**2 + 2 + 4 - 12*k**2 - 4.\nAnswer: 31*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/11 - 64*d**3\/11 + 997*d**2\/11 - 5310*d\/11 + 648 = 0. Calculate d.\nAnswer: 2, 9, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + -1*(sqrt(1053) + (sqrt(1053)*-1)**2) + -2.\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/5)\/(s*s**5)*s**(-6)\/s*s**(-2)\/s assuming s is positive.\nAnswer: s**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 + 3*w**3 - 12 - 22*w + 2*w**3 wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**2 - 1137*d - 3831?\nAnswer: -6*d - 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 495\/(-10))*-2. Let w = f + 101. Solve 2*z - w*z = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20034 and 20776.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.712 - 4.9. What is v rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4107*c + 78*c**2 - 4107*c)*(0*c - 2*c + 3*c)*(29 - 29 + 106*c)*(2 + 0 + 2) in the form z*c + r*c**2 + q*c**3 + d*c**4 + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 399*x - 207*x - 172*x.\nAnswer: 20*x + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125470 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**6 - 2*v + 11\/6*v**4 - 19\/20*v**5 - 3\/14*v**7 + 4*v**2 + 3 + 14\/3*v**3. Find k, given that m(k) = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let y(c) = -7*c + c**2 + 3*c + 0 - 2. Give y(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 45. Let b = 280 - h. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 0*l + 0*l + (-l + 0 + 0)*(3 + 3 - 4) + 15 - 15 + 6*l as q + c*l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*k - 44*k + 11*k + (5*k - 5*k - 3*k - 3*k)*(3 + 0 - 2 + (4 + 2 - 3)*(8 - 4 + 4)) to the form y + u*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from glfggpc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1980 or 1911?\nAnswer: 1980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/4 + 81*f**2 + 6075*f\/4 + 13851\/2 = 0.\nAnswer: -9, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/36 - ((-132)\/(-108) + -1). Suppose -32*n = -37*n + 20. Sort y, 0, 8, n in descending order.\nAnswer: 8, n, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 6, g: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*r**4 - 54843*r**2 - 293*r - 529?\nAnswer: -132*r**2 - 109686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*a**3*s + 174*a**3 + 10*a**2*s - a - 12855*s + 8 wrt a.\nAnswer: -132*a*s + 1044*a + 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Let t(f) = -4*f**2 + 75*f + 81. Let o be t(21). Let m be 9\/o*39 + 5. Which is the second biggest value? (a) 2 (b) l (c) m (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -457316 and 8292.1452.\nAnswer: -449023.8548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*p**3 - 2218992*p**2 + 5*p**3 + 739667*p**2 + 739660*p**2 + 739665*p**2.\nAnswer: 124*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-32))\/(1\/12). Suppose 0 = k*c + 17 - 56. What is the remainder when (322\/28)\/(1\/2) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7056 divided by 894?\nAnswer: 1176\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppuppuupppppprp. What is prob of sequence rp?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 14\/3*w + 2\/9*w**3 - 13 - 8\/3*w**2. Factor d(n).\nAnswer: 2*(n - 7)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.1. Let a = g - -0.22. Round a to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13731 + -8907. Suppose 0*k = 4*k - 5*g - l, -3*k + 2*g = -3611. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*1.1\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5206147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*b**2 + 374*b**2 + 167*b**2 - 1538*b**2.\nAnswer: -520*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 11*w - 12*w + 84, 2*w + 4*x = 176. Calculate the highest common divisor of w and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 190 - 268. Let x = -389\/5 - u. Determine w so that 8\/5*w - w**2 - 4\/5 + x*w**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-13 - -16) + 21 - (-1 - -15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 5 - 1874*s - 1747*s - 5 to the form g*s + i and give g.\nAnswer: -3621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-10))\/(8\/(-20)). Suppose -22 = 3*g - x*g. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 5 (b) -6148 (c) 0.5 (d) -172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3 - 61*g**3 - 7 + 62*g**3. Let t be w(0). Let v = 3 - t. Calculate the smallest common multiple of 8 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (952\/(-51))\/(4\/(-18)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 3, z: 1, g: 2, u: 7}. What is prob of picking 1 x, 1 u, and 1 e?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97485 = 51*o - 99321 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 114*l**4 + 767*l**3 + 1946*l**2 + 2148*l + 856 = 0. What is l?\nAnswer: -107, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -109) + 1 - 2. Suppose -5*w - 3*a + l = 0, -w + 0*a = 3*a - 29. Solve 0*c - w = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(4\/18). Put k, 0.5, -2\/7 in descending order.\nAnswer: 0.5, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-56)\/23) + (-3 - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 18 - 7. Let s(x) = x**2 + 4*x - 3. Let f be s(m). Does 18 divide (27 - f\/(-1))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34231638.\nAnswer: 2, 3, 7, 41, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 103\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 1170?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39.7 or -67?\nAnswer: -39.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3387 - 3387. Which is bigger: r or -18\/1951?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grbrggggbr. Give prob of sequence grg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24673937317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 464\/(-714) - (-4)\/6. Let m(a) = -a**3 + 5*a**2 - 4*a + 4. Let x be m(4). Let d(y) = 4*y - 16. Let g be d(x). Is g less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104580 by -210.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -208*g + 111*g + 1455. Suppose -2*q - 1 + 7 = 0. Suppose -q*y + 4*t = -26, t = -4*y + 4*t + 23. Solve -8*b + 3*b = -y*c + g, 5*c + 5 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33944, 67692, 101428, 135146, 168840, 202504, 236132, 269718?\nAnswer: 303256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9116 and 12932?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 95. Let g = -10 - q. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(56)*-1)\/sqrt(8) + 4 + sqrt(7) + sqrt(70)\/sqrt(160))*-3)**2.\nAnswer: 162*sqrt(7) + 7407\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/6 + 1\/(-3). Let u(i) = -3*i + 9 - 6 + 2. Let j be u(-3). Solve j = t*x + 34 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 112710?\nAnswer: 112715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -744 and -73.\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f**(-29)\/f*f*f\/f**(-23\/4) assuming f is positive.\nAnswer: f**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1019 - -117197\/6114. Suppose 4*h + 27 = -4*y - 53, 0 = -y + h - 22. Calculate the common denominator of 49\/182*15\/y and r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611, 636, 707, 848, 1083?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 48, -3, 28.6, 0.5 in descending order.\nAnswer: 48, 28.6, 0.5, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93139.7, -1\/4, 7 in descending order.\nAnswer: 7, -1\/4, -93139.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 a factor of 336663720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181665200 rounded to the nearest 1000000?\nAnswer: 1182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -2*o**2 + o + 3. Let k be t(-3). Solve 3*m + 1 = k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 518 and 43253.\nAnswer: 86506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*b + 23*b + 92. Let s be b\/(-10) - 9\/((-225)\/10). Solve -5*r + 5*j = -10, -s*j = 3*r + 9 + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230296 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13190*1)\/(106\/(-53)). Let h(f) = -g*f - 5 - 2 + 6593*f + f**2. Give h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 750944572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.09287, -1\/6, 0.5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 37647 = -3*b - 37671, 21 = 3*b + 2*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-24)*(-1696)\/1590\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2444?\nAnswer: -2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a459 (base 12) in base 16?\nAnswer: 9705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6091772.\nAnswer: 2, 227, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 337625 and 15725?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1462 - -6834. Is 68 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3857 + 0.0143. Let k = -2 - -7. Put -3, x, k in decreasing order.\nAnswer: k, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4304513*r - 4304513*r - 26*r**2.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.09 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -143*k**2 - 89*k + 735. Let r(p) = 21*p**2 + 13*p - 105. What is -6*h(f) - 41*r(f)?\nAnswer: -3*f**2 + f - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1279\/2 or 641?\nAnswer: 1279\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -377193*0.9\nAnswer: -339473.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/42 + 128500\/(-155400) - (-4)\/(-74)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25726541 to the nearest integer?\nAnswer: 5072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0088669 rounded to five dps?\nAnswer: 0.00887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -106*q + 70*q. Solve l - 3*y - 6 = 0, 2*l - 5*y = -q*l + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -76 - 1?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -325 - -325.03. What is the second biggest value in -5, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 6, n: 8, r: 2}. What is prob of picking 1 x, 1 n, and 2 u?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63, -70, -77, -84?\n\"Answer: -7*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2518128 divided by -10.\nAnswer: -1259064\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*33\/22*(-12)\/(-2)*(-508)\/127?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210 + 196. Let n = u - -14.6. What is the nearest to 2\/7 in 3, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23333130 + 11?\nAnswer: -23333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 4*v + 8. Let u be i(5). Let o(h) = -12 + h - u + 25. Let s(w) = 4*w. What is o(s(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 64*n. Let x(o) = -o**2 - 8*o. Let a(w) = -8*x(w) - y(w). Let q(m) = 27*m - 2. Determine q(a(g)).\nAnswer: 54*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.3 + -14.2. Let h be (2 - 1)*-7 + 2. Put p, h, 0.2 in increasing order.\nAnswer: h, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455276 divided by -4?\nAnswer: -113819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 + 2*r**2 + 2*r**2)*(-r + r - 4*r**2) + (2*r + 0*r**2 + 5*r**2 - 4*r**2)*(-129*r + r**2 + 259*r - 132*r).\nAnswer: 9*r**4 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -9. Let g(m) = 7*m**3 - 4*m**2 + 4*m - 2. Let z(y) = 6*y**3 - 3*y**2 + 3*y - 2. Let t(i) = h*g(i) + 4*z(i). Differentiate t(a) wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.3 + -34.7. Let z = h - -45.97. Let p = -78 - -153\/2. What is the nearest to -0.1 in z, 0, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*t*x**2 - n*x**2 + 6*n + 2*t*x - 22*x**2 wrt n?\nAnswer: 2*t*x**2 - x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2304)\/2688)\/(208\/28).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -65, -119, -225, -401?\n\"Answer: -3*r**3 + r**2 - 2*r - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 30 = 0. Let o be 36\/(-21)*(-7)\/2. Let i(t) = -o*t - 2 - 3*t + 4*t + 9*t - t**2. Give i(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*l + 2, -5*l + 2 = -h - 5. Let j = 10 + -7. Suppose -u + 2*t + 7 = -2*u, 0 = 2*t + 2. Sort u, j, h, 1 in ascending order.\nAnswer: u, h, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 58, 196, 420, 748, 1198?\nAnswer: 1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + u - 30, -2*u = 2*i - 6*u - 6. Let b be (-1)\/(-3) + 51\/i. Solve 0 = 3*f - b*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11300233 + -4101?\nAnswer: 11241132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 7*o = 4*o + 22, 3*o = 3*z + 6. Suppose 9*v = -z*v - 2376. Let m = 589 + v. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0. Let v be (-1958)\/(-55)*10\/372. Let b = 9\/31 - v. Sort b, -3, d.\nAnswer: -3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n + 84*n**2 - 964*n**3 + 942*n**3 - 23*n - 2*n**4 - 112.\nAnswer: -2*(n - 2)**2*(n + 1)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 6 - (-112 + 113)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f**2 - 9*f - 6. Determine b(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7428 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2\/5*w**3 - 6\/25*w**5 - 3\/10*w**2 + 6 + 1\/10*w**6 + 0*w**4 + 0*w. Determine d, given that g(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40198*p**5 - p**3 + 47*p + 1175.\nAnswer: -803960*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/547 or 1?\nAnswer: -48\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/744)\/((-7)\/(-28)*-1).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26718854 and 7882?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-54)\/(-15))\/9)\/(2\/32). Factor -x*i**2 - 14\/5*i**3 - 22\/5*i - 4\/5.\nAnswer: -2*(i + 1)**2*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 105*u**3 - u**2 + 2*u - 1. Let i be q(1). Let k = i - 62. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 338 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6648 at most as big as -6649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2241172, -4482349, -6723526, -8964703, -11205880?\n\"Answer: -2241177*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.55063mg in tonnes?\nAnswer: 0.00000001955063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1188077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-462)\/4))\/((-3)\/9)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -10*l - 49 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16328784 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 take away -12126?\nAnswer: 12242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.5. Let x = 0 - h. Let w = x + 0.4. Which is smaller: w or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 39 (b) 6\/7 (c) -182 (d) -0.1 (e) -4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilzx when four letters picked without replacement from lvzzzllxxxzxi.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -4. Suppose 0 = y + 2*f - 41, 20 = -4*y + f + 292. What is the least common multiple of y and v?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7201620, -7201619, -7201618, -7201617?\n\"Answer: c - 7201621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 164 + 182 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 18. Let v(j) = -j + 3. Let g be v(-4). List the prime factors of d(g).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - (-11020)\/6. Let g = -14723\/8 + p. What is the common denominator of -71\/12 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 173, 3\/2, 5, -2\/89, 0.14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -814, -813, -810, -805?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -0*i + 36. Solve -5*g - 2*j = -i*g - 4, 28 = -3*g + 4*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30371 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -12. Let i = 9 + g. Which is the biggest value? (a) 0.4 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + ((-1 - 18) + 7 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**4 - 2379*m**3 - 464838*m**2 - 26606580*m + 27073800 = 0.\nAnswer: -534, -130, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = -16*y - y + 1202 - 682 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-41)\/(f\/f**(-1\/16)*f\/(f\/f**(-2\/27))) assuming f is positive.\nAnswer: f**(-18139\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 38. Solve 3*l + 5*k = -14, -5*l - s*k + 18 = -5*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 306\/(-765)*(-5)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25228 and 252.\nAnswer: 227052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/937730 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2396 = -179*y - 459 - 2157 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 4*z - 40, 0 = -2*z - 4. Let y be w\/(-7)*(-21)\/6. Let d be 30\/y + (-13)\/(-52). Solve -6 = -2*g - 2*a, -g - 3*a - d = -5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5211898898.\nAnswer: 2, 127, 20519287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3166071568 to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*z + 1499801*b**2 - 4*b*z + 335*z + 215 wrt b.\nAnswer: 6*z + 2999602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 4*h)*((1 + 5 - 4)*(-2*h + 2*h - h**2) + h**2 + 4*h**2 + 0*h**2) + (-h**2 + h - h)*(6*h - 3*h - h).\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2418534, 4837085, 7255636, 9674187, 12092738, 14511289?\n\"Answer: 2418551*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 29*c = -265975. Suppose -c = 2*t + 17205. What is t rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**2 - 65*w**2 + 32*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172.995 - 167.995. Let f = 1.5 - 2. Which is the nearest to -2\/9? (a) t (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5287340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 64. Let o be g(7). What are the prime factors of ((-1786)\/10)\/(o\/(-170))?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4775b (base 12) to base 11.\nAnswer: -66241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k**2. Let x(h) = 4*h**2. What is x(u(n))?\nAnswer: 900*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let w(t) = 11510193*t - 2. Give w(r(b)).\nAnswer: 23020386*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 2)*(-34*m**3 + 24*m**3 + 47*m**3).\nAnswer: -185*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1250*p + 1248*p = -212. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 21.3. Which is the third biggest value? (a) -3 (b) m (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1196 divide 515476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 697.2473 millimeters?\nAnswer: 69.72473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 552277550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 6*k. Sort 10, -5, k, -3 in decreasing order.\nAnswer: 10, k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5705, 6196, 7015, 8162, 9637?\nAnswer: 11440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 34*a - 2820. Determine k(33).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 379 by 4.\nAnswer: 379\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -x + 13, 2*u - 7*x + 2 = -5*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8, 0 = 61*h - 58*h - 5*z + 10. Suppose 0*u = -3*u + 4*n + 24, 9 = -3*n. Let j = -5 + u. Is h >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 0. Suppose p = 2*s + 2*s + 5600. Round s to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60 - 20 - 10*w**2 + 27 - 2 + 2 + w**2 + (-4*w + 2*w + 0*w)*(-w - 2*w + 2*w) + 2*w**2 - 2*w**2 - 2*w**2.\nAnswer: -9*w**2 + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4342 + 4346. Solve 5*v + 17 = -4*f, -8 = 2*v + 3*f - a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**3 - c**2 + 5*c - 3. Let f(s) = -877 + s**2 + 4*s + 439 + 13*s**3 - 10*s + 442. Calculate 5*f(d) + 6*y(d).\nAnswer: -7*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -818588\nAnswer: -20\/204647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((76\/2)\/38)\/((25\/(-3))\/(-5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/((-9)\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0735, -4, 5 in decreasing order.\nAnswer: 5, 0.0735, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 3*y**2 + 20*y - 14. What is the tens digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*f = -77. Let x = f + 83. Solve -x*r + r - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35549601 and 867.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*a - 3*a. What is the smallest common multiple of a and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1146 in increasing order.\nAnswer: -1146, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4489994 months in centuries?\nAnswer: 0.0012074995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-2 - 2)) + -1. Suppose 0 = -g + 4 - b, -2*g = -2*q + 8. Solve m - 4*m + q = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 (base 16) to base 11\nAnswer: -671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -467.217.\nAnswer: -467.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g**3\/3 - 112. Let n(u) = -100*u**2. What is y(n(w))?\nAnswer: 20000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 274.08 and -910?\nAnswer: -249412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1071 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0 - 13 - 18*x + x. Let d(a) = 4*a + 3. Give -9*d(w) - 2*m(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkzzzzzzkz. Give prob of sequence zzzk.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-576)\/180 + -17 + (7 - -6)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3628, -9 in decreasing order.\nAnswer: 3628, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4095?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*s - 1870, -5*c = -3*s + 89 + 1043. Let z be (208\/(-130))\/(-4) + 203\/5. What is the highest common factor of s and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 6. Let l be q(7). What is the tens digit of 6\/(-18)*l*-81?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42317 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142507308 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - 1010110111011?\nAnswer: -1010110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1.721597 days to microseconds.\nAnswer: 148745980800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 668 - 663. Solve -h - 10 = m, h + k*m + 25 = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 4. What is the derivative of -k + 11 + 2*w - w wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - m + 7 = 4*m, 5*f - 3*m - 175 = 0. Let k = -17 + f. Solve -5*o = 5 + k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3784263200.\nAnswer: 2, 5, 277, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g. Let d(n) be the third derivative of -47*n**5\/15 - n**4\/24 + 135*n**2 + 3*n. Calculate j(d(b)).\nAnswer: 564*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or -2956660?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34074 + -8924. Let q be (l - -2) + -4 - 0. What is q rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let u(v) = 8 + 14 + 15 - 13*v**2 - 31. Let i(l) = -25*l**2 + 11. Let n(p) = 6*i(p) - 11*u(p). Calculate n(m(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.6 (c) -2\/13 (d) -3 (e) 0.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -50 - (7 - (-72)\/(-8)). Solve m*j + 5 = 51*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1430)\/33)\/13*(-3)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 20*q - 30131 - 153639. What are the prime factors of q?\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + -6*(-4)\/12*(-252)\/(-14). Solve 4*h = -4*f + 40, -f = 4*h - q + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(4*x**2 + 2*x**3 - 4*x**2)*(-11*x + 31 - 31)*(5 - 2 - 1)*(515 - 55 + 103) to w*x**4 + p*x + o*x**2 + i*x**3 + z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:17 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6662810 and 1904?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/630 and 127\/17383464?\nAnswer: 86917320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943.1407 milligrams to kilograms.\nAnswer: 0.0009431407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -38*z - 663. Give i(-17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 39 = p, -5*c + 1341996*p = 1341993*p + 113 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*-6*(sqrt(1008) - ((sqrt(1008) + 2*sqrt(1008) - sqrt(1008) - sqrt(1008)) + sqrt(1008)))*5 + -4)**2*-3.\nAnswer: -43545652 - 34560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sum 4.4 and -11544632554.\nAnswer: -11544632549.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = d - 13, 4*d - 5*c = 82. Suppose -7*x + 18 = -10*x. Let p = x + d. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + r + 1013 = 122, 5*r - 873 = -4*c. Is 10\/35 + c\/7 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66581976*b**6 - 7*b**2 - 29*b + 3754?\nAnswer: 7989837120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356318784 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/3 + 7*s**2 - 20*s + 13. Determine b(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 56) + (3 - -25).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1363 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4068569.\nAnswer: 4068569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 4*k + 5. Let y be a(1). Solve -y = -21*x + 22*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uquggzggugggggqgbub. What is prob of picking 1 q and 1 u?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let p(n) = 3*n - 8 - n + n. Let s(y) = -2 + 10 - 5 - y. Let h(v) = 3*p(v) + 8*s(v). Determine h(u(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -244, -361?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8.9, 0.5093, 4?\nAnswer: 0.5093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-16)*(r*r**(-10)\/r)\/((r\/(r*r*r*r**4*r*r))\/r) assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40026029 + -195.22\nAnswer: -40026224.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1007, 998, 987, 974, 959, 942, 923?\n\"Answer: -p**2 - 6*p + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r + 547. Let m be o(0). Let k = -142 + m. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3447631 + -11?\nAnswer: 3447620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 + 59*k + 491. What is f(-7)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 31 + (1 + 0 + 0)*(2 + 5 + 5))*(0*c - c - 4*c).\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.59 and 0.14?\nAnswer: -0.2226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((-1)\/5). Suppose 5*g + 3 = 4*x + 21, 0 = 5*g + 4*x - n. Let v be (-2)\/(-9)*24\/8. Which is greater: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767, -3012, -6779, -12098, -18999, -27512, -37667, -49494?\nAnswer: -63023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*h**2 + 3)*((0*h - h - h)*(-3 + 5 + 0) + 0*h + h + h - h + 4*h - 4*h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 - 46*l**2 - 58*l + 11 wrt l.\nAnswer: -6*l - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + (-36)\/(-5). Let u(m) = 48*m + 11 - 43*m + 49*m. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109390.7536 rounded to the nearest one thousand?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102970 by -5.\nAnswer: 20594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z**3 + z**2 - 2*z - 2. Let v be (-6)\/4*(-34)\/(-3). Let a = -18 - v. Let f be g(a). Solve 1 = 5*r + f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -43 + -54 - ((5 - 14) + -5)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-7 + 74\/11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-560)*(1\/8 - 78\/176).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/9))**46*a**(2\/27)*a\/((a\/(a**(-26)*a*a))\/a) assuming a is positive.\nAnswer: a**(-67\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4674*q = 4455*q - 2628 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(40)*3)\/(sqrt(125)*-1 - (sqrt(180) - (sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180)*2 + sqrt(180))) + sqrt(180)))).\nAnswer: -36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2 - 2)*(4*b - b - 2*b)*(0 + 0 + 2*b**2).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 7*c**2 - c**2)*(-4 + 0 + 2) + (3*c - c - 6*c)*(-5*c + 9 - 9 + (-2 + 0 + 0)*(1 - 1 + c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1523 = -21*g + 1754 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((5*sqrt(847)*2 - sqrt(847)) + (sqrt(847) + 3)*-4 + sqrt(847)))**2.\nAnswer: -25344*sqrt(7) + 490176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (0 + 60\/(-27)). Let t = 5 + -4.6. What is the third biggest value in t, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532389976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560341043, 560341048, 560341055, 560341064?\nAnswer: 560341075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -15*g**2 - 115*g - 568. Calculate v(-6).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302 divided by 8.\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxqnwwqwwxxxxnxwxw. What is prob of sequence nwxn?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ttaaahahhhaa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -70*m**2 + 5*m + 85*m**2 - 20 - m**3 + 2*m**3 - 11 - 20*m**2. Give l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5277 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 9. Let w be -2*(-5 + -8 + 16). Calculate x(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13.2, 1, 36, 0.1 in decreasing order.\nAnswer: 36, 1, 0.1, -5, -13.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -185*j**3 + 4*j**2 - 12*j + 4. Let a(n) = 8326*n**3 - 181*n**2 + 543*n - 181. Calculate -4*a(r) - 181*t(r).\nAnswer: 181*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -32\/213307?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 0 + 0)*(-2*k**2 - k**2 + 5*k**2)*(8249 - 9*k - 8249).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18085)\/(-3))\/((-126)\/27). Let v = -1291 - y. What is the common denominator of 0 - 15*15\/36 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110100101110000 - 0?\nAnswer: 100110100101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (246\/164)\/(3\/42). Solve -m = f - 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 + 0*j**2 - j - 7\/6*j**3. Let y(i) = -i**2. Determine l(y(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -bc2545?\nAnswer: -bc254b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*x + 5*x + 1050. What is the remainder when 200 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 + ((-399)\/196 - -3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 5. Suppose -4*n - 2*x = 3*x - 535, -n + 4*x + 139 = 0. Calculate the greatest common factor of m and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(38)\/sqrt(2) - (1 + sqrt(475)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12665*g**3 - 15186*g**3 + 46 + 625 + 1400 - 424 wrt g?\nAnswer: -7563*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Suppose -k - 2*a - 14 = -x*k, -5*a - 5 = 0. Let f = k - -2. Calculate the greatest common factor of f and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1331 - 1240. Calculate the remainder when u is divided by 76.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen sixteenths of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -9*u - 4576. Let c = 419 + u. Solve -x + c*l = -3*x + 14, -18 = -2*x - 5*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153495 - -1687123\/11. Let k = -1314\/11 - h. Find y such that -k*y + 2\/11*y**4 + 0 + 2\/11*y**3 - 8\/11*y**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0 - 1\/2*g - 1\/2*g**4 + 1\/2*g**3 + 1\/2*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1818 - -29666580\nAnswer: 29666579.8182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3652976.\nAnswer: 2, 228311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046982 to four decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (159\/(-5))\/(2\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/54 and -79\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5688 = 110*z - 340 + 418 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383 is divided by 689.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 2. Let a(g) be the first derivative of -g**4\/4 - 2*g - 1. What is a(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*135894.\nAnswer: 27178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(448)*-4 - sqrt(448)) + sqrt(448)*2*3)**2.\nAnswer: 36293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 338. Let u = 144.588 - m. Let x = u + 0.4. Round x to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5135\/7 or 735?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-324)*((-66)\/8 - -3)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153740\/48 - (-1)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 14131718*k. Let i(p) = -4*p. Calculate i(g(q)).\nAnswer: -56526872*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - a - 10, d - 2*d = 4*a - 12. Suppose -d*c + 20 = -4*m, 2*m + 20 = c + 3*c. Solve 6*r - 3*r = 2*g + 15, r - 5*g = c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321244 + 1142022?\nAnswer: 2013321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27 - 18 - (-8 + 17). Sort -12, -26, -3, f in increasing order.\nAnswer: -26, -12, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:48 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64539*n**2 + 423*n - 60 wrt n?\nAnswer: 129078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 5. Let d(i) be the third derivative of -i**5\/60 + 75*i**2. What is t(d(m))?\nAnswer: -2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 + 12*z - 5. Let g(p) = 11*p**2 - 19*p + 8. Let x(h) = 5*g(h) + 8*s(h). Factor x(f).\nAnswer: -f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48948.78295 to the nearest integer.\nAnswer: 48949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -14. What is the second biggest value in -1, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.42 and 0.2.\nAnswer: 0.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5 - 14 - 6*j - 89*j**2 + 90*j**2 + 4*j. Give y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3*a\/a**(1\/4)*a\/(a*a**(3\/7))*a*a**(-9) assuming a is positive.\nAnswer: a**(-131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/((-138)\/2208))\/((-1)\/7*-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and -7218.56?\nAnswer: 461987.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/40 + m**5\/60 - m**4\/24 - m**3\/6 - m**2 - 115. What is the units digit of q(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 145, 492, 1071, 1882, 2925, 4200?\n\"Answer: 116*a**2 - a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565502 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 43 = -g - 0*g, -4*g - 83 = 5*x. Let m = x + 30. Is 4 a factor of (-2)\/(-10) + 117\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 44274150.\nAnswer: -1\/22137075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -222 (b) 4\/23 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-10))\/(2 + (-17)\/8). Suppose -3*w + 3 = -a - w, 4*w = -h*a + 36. Suppose 0 = -j + k + 3, a*j = 2*k + 15. Solve -j*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 122, 0.47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 2*u - 4, z + 25 = 3*u + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*(-1 - (-16)\/6). Suppose 0 = -2*c - c + s. Suppose -c*r = -2*r - 27. Calculate the highest common divisor of r and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a. Let i(w) = w**2 + 250*w. Calculate i(n(o)).\nAnswer: 16*o**2 - 1000*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9077 - 9209. Which is smaller: -125 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-4))\/(((-6)\/(-29))\/((-988)\/(-7163)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + -7 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d + 25*d + 30*d - 9*d - 3*d.\nAnswer: 63*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32182687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 30, 51, 90, 153, 246?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 10. Let f be z(3). Suppose 5*d - f = 29. Differentiate 2 - d - 1 - 4*q**2 with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose 0*h = q*h - 69. Let p = -23 + h. Solve -2*r = 2*t - p*r - 16, 0 = -5*r + 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 + 7*k + 2. Let b(n) = -2*n**2 + 4*n + 1. Suppose -2*y - 24 + 74 = 0. Let h = -38 - -61. Suppose -18*l + h*l = -y. Determine l*b(g) + 3*m(g).\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*z**2 + 112*z - 213*z + 101*z.\nAnswer: 355*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 34*h + 75. Give t(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 9*g**2 + 8*g - 22. Let o be c(-9). What is o rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 18. Let f be g(6). Which is the closest to f? (a) 0.4 (b) -0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 909 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34189 and -578055?\nAnswer: 612244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7*n - 8 = -9*n, -16 = -4*n. Differentiate x - 4*a + 63*a - 18 + 0 wrt a.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(3) + sqrt(75)) - (sqrt(112) - sqrt(112)*-2)\/sqrt(4))\/((sqrt(128)\/sqrt(8))\/sqrt(4) + sqrt(4) - (sqrt(4) + sqrt(16)*6)).\nAnswer: 17*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16185917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*z + 1032*z**3 + 1 - 2*z**2 - 1030*z**3 - 9*z to the form m*z + o*z**3 + c + x*z**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58334464.\nAnswer: 2, 227869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1917\/27 + 14)*60\/102.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 + -2 - (-2724 - -85) and 6?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -317?\nAnswer: -3\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 125224.696 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from {x: 3, s: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.063?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 2*f**2 - 3*f**5 + (-2*f**2 + 2*f - 2*f)*(-2*f**3 + f**2 - f**2) + 9*f**4 + 2*f**5 + f**3 - 9*f**4.\nAnswer: 3*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 6*d - 2. Let y be w(-5). Suppose -2*x - y = x. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(175\/20 - ((20 - 28) + 19))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 + 9*i + 22. Suppose -5*k + 2*p + 12 - 32 = 0, 5*k + 4*p - 10 = 0. Calculate d(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17851 + -9540. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 21\/565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23904*i**4 + i**3 - 47*i**2 - 9971435*i wrt i?\nAnswer: -286848*i**2 + 6*i - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/241 and 77\/334?\nAnswer: 80494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 + 3*v**4\/2 + 3*v**3 + 15*v**2\/2 + 2*v. Let m be q(-9). Let n = m - 406. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107229 (base 10) to base 4.\nAnswer: 122023131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12885876.\nAnswer: 2, 3, 19, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5 + 6*c + 2*c**2 - c**2 + c**3 - 10*c**2 + 3*c. What is p(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p + 20, -3*p - 106 = -v. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*y - 6*y**3 + 6*y**2 - 14*y**2 + 149*y + 2*y**5 + 4*y**4.\nAnswer: 2*y*(y - 1)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 821 divide 330353159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-110)\/50)\/(-11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74897 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 15 (c) -119 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - -221?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 18. Solve f - 5*w + 21 = l*f, w - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/(-26) - (-4)\/(-26). Let v = c - -6. What is the tens digit of (-2 + -33)*v\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/350)\/((-2)\/(-60)))\/((-18)\/189)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -12830\/3?\nAnswer: -12830\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*v - 12, -3*p + 18 = -2*p - 4*v. Suppose -3*k = -0*k, 5*g = 2*k + 35. Let w = 3 + -3. Solve -g*d + p*d - 20 = w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337733995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7408899?\nAnswer: 3, 373, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 389975 and 1890975.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3087 - -3082. What is the biggest value in 49\/4, -7, r?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 22. Let s be z(-5). Suppose 0*o + s = 4*o + 5*w, -6 = -3*o - 3*w. Find the second derivative of -94*p + 3*p**2 + 13*p**o + 86*p - 3*p**2 wrt p.\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30722270 is divided by 4388895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and 10133?\nAnswer: 10149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((2 + -5 - -3) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1605042 (base 8) to base 7\nAnswer: -3631014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4260 + 222 = 437*h - 6443 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0605 + -313.9395. Let k = -312 - s. Which is the second smallest value? (a) -3 (b) 0.4 (c) k (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a + r - 60 = 0, -40 = 3*a - 2*r. Let i be (0 + 3)\/((-12)\/a). What is the biggest value in 0.06, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 363*b - 77. Let p be 21\/(-42) - (-14)\/4. Let x(c) = 14*c - 3. What is p*t(y) - 77*x(y)?\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 6*y**2 + 3*y + 15. Let t(b) = -12*b**3 + 38*b**2 - 7*b - 89. What is 3*t(q) + 19*w(q)?\nAnswer: 2*q**3 + 36*q + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + -3*15\/(-12). Suppose 0 = a*n - 112 + 8. Suppose -n*i + 25*i = -1657. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/300)\/((-12)\/160).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1252613912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -162, -156, -150, -144, -138?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -525, -609, -693?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3*i*i*i**19\/i*i*i)\/(i\/(i**(-4\/7)\/i))**17)**36 assuming i is positive.\nAnswer: i**(-4716\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 + 268*x**2 - 266*x = 0. What is x?\nAnswer: 0, 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/127 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 8*i + 7. Let v be a(-8). Let x = v - 5. Suppose 0 = n + 5*d - 16, -d - 2 = -x*d. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/6 + 2\/(-4). Let p(q) = q**2 + 9*q. What is the remainder when 28 is divided by p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + (-17)\/(-3). Suppose 0*l - 20 = -w*l, f = -2*l + 18. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0 + 1 + 6*p)*(226 + 226 - 491 + 5 + 0 - 3 + (2 - 3 + 2)*(7 - 3 - 3)) - 1 + 1 - p.\nAnswer: -145*p - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Suppose 0*s + 5*d = -2*s - 20, 2*s + p*d = -16. Suppose s = -3*f + 2*f + 40. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 6*u**2 - 7*u + 4. Let q be b(4). Let p be 94\/q + 1\/4. Suppose -p = -2*k + 10. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 5*n**2 - 5*n + 36. Let m(c) = c**2 - c - 1. Let l(i) = b(i) - 6*m(i). What is the units digit of l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h, -5*h = -3*x - 2*x + 120. Solve -x = -4*q + q + 4*s, -2*s - 11 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -13 - -5) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 6707?\nAnswer: 6725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 162 = -6*b. Calculate the greatest common divisor of 162 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 6*n - 6*n)*(5 - 5 - 2*n)*(-2*n + 2*n + 2*n).\nAnswer: 20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -159 + 183. Suppose o*v + 9350000 = 23*v. Round v to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 6377744576?\nAnswer: 6377744575.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25682832 and 342104?\nAnswer: 8344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 3. Let g be b(-15). Let c = -10 - g. Let u(p) = p**3 - 3*p**2 + 1 + 0*p**2 + 2*p**2 - c*p**3. Calculate u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 5*u - 2. Let v = -13 + 43. Let n = 35 - v. Let g be f(n). Let q(c) = c**2 + c - 1. Give q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**4 + 2*l**4 + 0*l**4)*(-4 + 3 + 5)*(-9 - 2 - 19) to the form a*l**2 + o*l**4 + z + m*l + p*l**3 and give o.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a9 (base 11) in base 4?\nAnswer: -100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 3, 2, -116, 4 in descending order.\nAnswer: 4, 3, 2, -24, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 5, r: 2}. Give prob of picking 1 r and 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 55 = -2*d, 5*x + 145 = 3*d + 2*d. Calculate the greatest common factor of d and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4148549\/1555707 + 1\/518569. Let u be (-1)\/(-2) + (-5)\/(-2). Which is greater: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5522 and 74045.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1277086.\nAnswer: 1277086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 98*x**2 + 6*x - 8. Let r be l(2). Suppose 21*f = -f + r. What is the smallest common multiple of 14 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a meter in millimeters?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*-1 - 11)\/(-1). Let q be (-6)\/1*6\/(-4). Let g = o - q. Solve -2*p = 3*z + 11, -5*z + 0*p = g*p + 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7941 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 263.\nAnswer: 23\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169974127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + s + 154, -5*s + 7 + 42 = i. Let r be (2 - i\/9)\/(12\/(-2088)). Calculate the greatest common factor of 58 and r.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 42. Is 9\/r - 5728\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 60789*m**3 + 8*m**2 - m + 1. Let r(g) = 30395*g**3 + 4*g**2 + 1. Let x(n) = 4*l(n) - 9*r(n). Let v be x(5). Round v to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 4*i**2 - 8*i + 8. Calculate the lowest common multiple of 19 and u(3).\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from nzdnzddnnnnd.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w - 10. Let m be c(-4). Let a = m - 13. Let f = -8 + a. Put f, -3\/5, -0.3 in ascending order.\nAnswer: -3\/5, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)\/f)\/((f\/f**4)\/f)*(f*f\/f**(-2\/13))**12 assuming f is positive.\nAnswer: f**(1836\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (360\/3)\/10*51\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 3*v - 997 = 0, 0 = -3*f - v - 601. Let z = 1 - f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = j + 4*j. Find the common denominator of -59\/68 and (303\/j)\/((-9)\/6).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841837213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**3 - 3*l**2 + 3. Let i(x) = -7*x**3 + 4*x**2 - 4. Calculate 3*i(t) + 4*p(t).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, 1\/7, -7.4, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54\/7 - 3\/7*y**2 - 51\/7*y.\nAnswer: -3*(y - 1)*(y + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = 15*r + 51. Sort -4, r, 3\/7 in descending order.\nAnswer: r, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -18*j - 55. Let z be r(6). Let d = -145 - z. What is the remainder when d is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - z = 87, -27 = 2*w - 3*z - 112. Suppose 0 = 2*h - h + 12. Calculate the remainder when w is divided by h*(-12)\/(-9)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 33148.\nAnswer: 165740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**9\/u)\/u)\/u)\/u*u*u*u**4*u*u)**(-13)*(u*u\/u**(1\/4))**21*(u**(2\/3)\/u)**8 assuming u is positive.\nAnswer: u**(-1619\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 52968.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281 - 59. Suppose -z*b = -225*b - 54. Let t(c) = -c - 16. Calculate t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -657641 and 2023.8.\nAnswer: -655617.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 314*z - 343*z + 89 = 0, -u = 2*z + 18 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 46. Suppose 2*h = -h - a + k, 0 = 2*h - 2*a - 6. Suppose -h*r + 420 = -r. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0, -110, 2 in increasing order.\nAnswer: -110, 0, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 207 - -173. Let x = c - 379.999997928. Round x to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15049, -15054, -15069, -15100, -15153, -15234, -15349?\n\"Answer: -g**3 + g**2 - g - 15048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10166 and 17702134.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times -966\nAnswer: 2801.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (57\/114)\/(2\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -131*z + 884. What are the prime factors of q(-49)?\nAnswer: 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b - 12. Let i be w(-11). Suppose -5*o - i = -123. What is the least common multiple of 14 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267 - -266 - (3 + -22)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-2) - (-6)\/4. Suppose -68 = -5*z + 2*x, 6 = g*x + 1. Let f = 4 - 2. What is the least common multiple of z and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.14, 0.2, -0.4, -2 in descending order.\nAnswer: 9, 0.2, -0.14, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 37 = g + 3*w, 4*g - 5*w = 13. Let j = 33 - g. Solve 0 = -u - 5*r + j, 4*u - r = r - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 31\/5)\/(13\/159835). Let d = u - -87239. What is d rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 5*z + 7, -1749487*z = -3*f - 1749491*z + 22 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3803137.7 take away -5?\nAnswer: -3803132.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7196*r**3 - 26*r**2 - 9*r + 56. Let y(j) = j**3 - j - 12. Let p(k) = -u(k) - 5*y(k). Find the third derivative of p(q) wrt q.\nAnswer: 43146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41967*q = -41956*q + 132 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 0, 2, -51, 1, -26 in descending order.\nAnswer: 2, 1, 0, -26, -51, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2160002 (base 8) to base 6.\nAnswer: 20244430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlslnkrsslnrk. Give prob of picking 1 l, 1 k, and 1 n.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, d: 1}. Give prob of sequence dj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 17898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/76 and -23\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/10)\/((-4)\/(-20) + 0). Solve -4*d = 2*a - 2 - 2, 0 = 2*d - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2, 40 in descending order.\nAnswer: 40, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 8:07 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x. Let q(d) = -9*d + x*d + 5*d. Let c(w) = -14*w**2 + 11*w + 11. Let b(r) = 5*r**2 - 4*r - 4. Let s(v) = 11*b(v) + 4*c(v). What is q(s(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271800 divided by -3020.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4099 - 4085. Sort d, -2, 3 in increasing order.\nAnswer: -2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvn when four letters picked without replacement from {v: 11, n: 3}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h - 6201 = -5442 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -156*z + 19255. Calculate h(118).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -120*k**2 + 2 + 88*k**2 - 44*k**2. Let b(s) = 3 + 0 - 3 + 5*s - 6*s. Calculate i(b(v)).\nAnswer: -76*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 245 - 244.974. Let x = k - -0.074. What is the nearest to x in 10, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -176986, -707780, -1592432, -2830936, -4423286, -6369476?\n\"Answer: g**3 - 176935*g**2 + 4*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137733?\nAnswer: 3, 31, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -29*o**2 - o. Let t be q(-1). Let n = -33 - t. Is -19\/3 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 132 + 8*z**3 + 2*z**2 - 120 - 2*z. Is 35 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/((-3)\/(-24)) + 154\/11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2428 + 3.9572. What is the second biggest value in o, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76816 is divided by 120.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 3*c - c + 0 + c + 0 + (-c + 4*c - c)*(4 - 2 - 4) - 2*c - 2 + 2 + c + c - 3*c - c - 2*c + 4*c + (1 + 0 + 2)*(c + 2*c - c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 4) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.9 + 48.89999764. Round w to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (172 + -173 - (6 - -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g - 7 - 8 + 2 + 4 - 1. What is u(-7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 5. Let c(n) = -11*n**2. Calculate c(k(p)).\nAnswer: -396*p**2 - 660*p - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 834292, 1668489, 2502590, 3336595, 4170504, 5004317, 5838034?\nAnswer: 6671655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2 - 11\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 14 - 26. Solve 2 = v*h - l, -2*l + 7 = 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710184 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 91, -1\/4, -5, 20, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7))**(6\/13)*(j**(-1))**(-2) assuming j is positive.\nAnswer: j**(170\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1500134 - -2?\nAnswer: -1500132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5107390307 to the power of 1\/3, to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 167, 582, 1181, 1886, 2619?\n\"Answer: -13*p**3 + 170*p**2 - 4*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/(a*a*a**(-3)\/a)*a**(-5)\/a*a\/((a\/a**(-2\/9))\/a)*((a**1*a*a)\/a)**(-15\/4)\/((a*a\/a**(-3\/4))\/(a*a**6)) assuming a is positive.\nAnswer: a**(-53\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 99. Solve -c*k + 31 = -4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 19. Let l be (-36 + q)*42\/(-35). Calculate the greatest common factor of l and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 + 3. Let f(b) = 6*b**3 - 9*b**2 + 14*b + 25. Determine 18*c(z) - 2*f(z).\nAnswer: 6*z**3 - 28*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -u + 28 + 4, -u + h + 35 = 0. Suppose -w + 46 + u = 0. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**6\/360 - b**5\/60 - b**4\/24 + 4*b**3\/3 + 2. Let f(i) be the third derivative of r(i). Is f(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0*n**3 + 20*n**2 - 1\/8*n**4 + 0 - 2*n. Let o(t) = -17*t. Give o(x(i)).\nAnswer: 51*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 102*w + 1141. Calculate d(-5).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2909 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 63*x + 7056. Let o be s(-112). What is t in o*t - 1\/6*t**2 + 0 - 2\/3*t**3 = 0?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162658 is divided by 81329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286409792.\nAnswer: 2, 3, 1871, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-5)*(5 + -25). Solve 33*d**2 + 77*d - 9*d**4 + 42*d**2 + 4*d**4 - 4*d**3 + 13*d - g*d**3 = 0.\nAnswer: -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1\/834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -138*n + 9699. Let i(t) = 21*t - 1491. What is 33*i(o) + 5*m(o)?\nAnswer: 3*o - 708","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 4. Let c = 10 - 6. Let x be n(c). Solve -2*i + 8 = -x*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l*r**4 + 3*l*r**2 - 2551*l + 12*r**4 with respect to r.\nAnswer: 12*l*r**3 + 6*l*r + 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 - 171.94. Let i = 0.06 - s. Let z = -8 - -8.4. What is the nearest to -1\/2 in -0.1, i, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154*5.5.\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14243 - -23146. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1086878, 2\/3, 2\/7, 2?\nAnswer: -0.1086878","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j**3\/4 + 2516*j**2 - 16533*j + 22932 = 0.\nAnswer: -294, 2, 156\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -103\/5, 5\/6, -2\/7, -2\/35, -0.06?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -285053, -570106, -855159, -1140212?\n\"Answer: -285053*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4 - (-8 - 1)) + -16 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389300408?\nAnswer: 2, 7, 17, 29, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/8172027 and -71\/8172027.\nAnswer: 8172027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxvdvdvdkkdhd. What is prob of picking 1 x and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 6 + 1 + 0 - 2*l**2 as c*l + q*l**3 + t*l**2 + v and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + 12*n + 62*n**2 - 27*n - 2 + 9*n - 199*n**2 to the form a*n + k*n**2 + x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = p + 23, 84*h - 89*h = -2*p - 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 1386\/36. Which is smaller: 73\/2 or k?\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36550 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*y + 1051*y + 225*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 + 0*d**4 - 4*d**4)*(5 - 10 - 3)*(-4*d + 3*d + 4*d).\nAnswer: 24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7) - 192\/112.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**(-2\/13))\/y)\/y)\/y**(-2\/33))\/(y**(-1\/2))**(-15))\/((y**(1\/4))**17)**(-40) assuming y is positive.\nAnswer: y**(138751\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 = 68. Let w(k) = 2*k**3 - 9*k**2 - 3. Let r be w(7). What is the highest common factor of r and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24225 - 604 + 11381 = -66*g + 1012*g for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45613 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(441) - (2*sqrt(441) + sqrt(441))) + -5.\nAnswer: -5 - sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1227*u**2. Let b(a) = 48*a**2 + 50*a**2 - 100*a**2. What is b(h(j))?\nAnswer: -3011058*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 1. Let y be h(-1). Let w(r) = 0 + 2 + 1 - 2*r. Determine w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(200)*-2).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Calculate 2 - 28 - (722 + -707).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.9 + 25.9. Let x be 14\/(-330) + 17\/(-187). Which is the fourth smallest value? (a) y (b) -4\/3 (c) 2\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/133714 and -69\/38204.\nAnswer: 267428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3839 + 1003 + 1679)*(3*d - 5*d + d) + 4 + 3*d - 4.\nAnswer: 1160*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684 = 32*l - 30*l. Suppose w + 2499 = 5*u, -5*w - l = -u + 177. What are the prime factors of u?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + a + 73 = 0, -2*o + 7*a - 2*a - 77 = 0. Let z = o + 43. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 0*s**3 - 9*s**3 + (7*s**2 - 3*s**2 - 5*s**2)*(s + 6*s - 4*s) - 2*s**3 - 2*s**3 + 2*s**3 to d*s**3 + l*s**2 + v*s + w and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3\/4, -3\/1298, 0.4 in descending order.\nAnswer: 3\/4, 0.4, -3\/1298, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 584496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 116 - 178 - 222*w - 93 - 73 - 228.\nAnswer: 3*(w - 76)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1684 + -1683. Put -4, 2, t, 9\/11 in increasing order.\nAnswer: -4, 9\/11, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 531b969?\nAnswer: -531b973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/5*15\/(-6). Let w(i) = 6*i**2 - 1182*i + 9091. Let p be w(189). Solve -5*b + p = -2*b - 4*y, -j*b = -5*y - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03878 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -4, -18, -2, -58 in descending order.\nAnswer: 12, 4, -2, -4, -18, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 22 (c) -3 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 31730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31, -8, -69, -146, -233, -324?\n\"Answer: x**3 - 17*x**2 + 5*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1582, -2941, -4300, -5659, -7018, -8377?\n\"Answer: -1359*z - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, s: 1, p: 3, h: 5}. Give prob of picking 3 i and 1 h.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -0.063, -0.07, 3\/58 in increasing order.\nAnswer: -0.07, -0.063, 3\/58, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13288 and 4197800.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4\/18 + 1078*d**3\/27 - 72899*d**2\/9 + 144722*d\/9 - 1037. Factor y(n).\nAnswer: -2*(n - 269)**2*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 83.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -869865*i**4 - 153*i**2 - 183703071*i.\nAnswer: -10438380*i**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4674 = -3*a, 2*z - 135 = -4*a + 6091. Suppose -174 = 3*r + g - a, -5*r + 2298 = 4*g. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/60 - 23*i**4\/12 + 173*i**3\/6 - 13*i**2 - i. Let k be j(42). Solve -2*l = p - 1, -k*p = -2*l + 4 + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 6\/5 (c) 0 (d) 357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 6:49 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*11\/66*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122038304?\nAnswer: 2, 41, 191, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7183731 to the power of 1\/2, to the nearest integer?\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8424 and 1777464.\nAnswer: 1777464","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6645080 and 1220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -1143, -2470, -4203, -6270, -8599, -11118?\nAnswer: -13755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 - 4*j**2 + 4*j - 4. Let w(z) = z**3 - z**2 + z - 1. Suppose 3*m = 2*c - 1, 2*c + 9 = -3*c - 4*m. What is c*d(s) + 4*w(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42662*y**2 + 43589*y**2 - 86214*y**2.\nAnswer: 37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*g**2 - 13520*g + 913952.\nAnswer: 2*(5*g - 676)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 29*v - 4064. Let b = 128 - v. Solve -n + 1 = -b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 3*b + 341 - 473.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -156228a (base 12) in base 16?\nAnswer: -42810a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyg. Give prob of sequence yyg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 21 - 429. Suppose -37 - 32 = -c. Let q = c - y. Put -8, q, 2 in ascending order.\nAnswer: -8, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + ((sqrt(162) + 1)*4 - (sqrt(162)*-2 - sqrt(162))*5)**2)*-2.\nAnswer: -233988 - 5472*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892069590.\nAnswer: 2, 3, 5, 127, 234139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3 - 1. Suppose -4*d = 5*p + d - 20, -2*p + 3*d = 2. Let v(y) = 6*y**2 - 7*y**2 - 2*y**p. Give j(v(t)).\nAnswer: -27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5 + 9*w - 1 + 4 to r + p*w and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(-32))**(2\/79) assuming c is positive.\nAnswer: c**(-128\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 2 = j, -3*i = -5*j - 41. Suppose 4*z = 2*z - 2, 4*z = 2*u. What are the prime factors of (-5)\/j - 23\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x. Let n(o) be the second derivative of -o**6\/360 + o**4\/4 + o. Let m(j) be the third derivative of n(j). Determine m(v(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*l = 6, 5*w - 8*l + 6*l - 30 = 0. What is the remainder when 23 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1824?\nAnswer: -1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 8*p**2 + 6*p + 10. Let k(t) = -t. Let a be k(-7). Let u be c(a). Solve -f + u*o = -0*o + 8, 3*f = 3*o - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 - 3*p**2 + 8*p + 10. Let u be n(-1). Suppose 6*x**2 - 10*x**4 + 7*x**u + 2*x - 7*x**2 - 4*x**3 - 10 + 2*x**5 + 14*x**2 = 0. What is x?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 + -3.5. What is the third smallest value in 1, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k\/((k*k**(-9)*k)\/k)*k*k*((k*(k\/k**(2\/21))\/k*k)\/k)\/k*k**(-10)\/(k**(1\/6)*k*k*k) assuming k is positive.\nAnswer: k**(-11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397671193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -12*w + 8*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 + 218508*v + 1092490 = 0.\nAnswer: -109249, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/6 - 2*z + 31. Let u(g) = 3*g**2 - 48*g. Determine s(u(r)).\nAnswer: 18*r**4 - 576*r**3 + 4608*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -445 + 221 + 225 - 557*v**3 - 685*v**3 to b*v**2 + x + r*v**3 + w*v and give r.\nAnswer: -1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 129657.8 and -0.05.\nAnswer: -6482.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 - ea5a?\nAnswer: -ea7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5368685*y**2. Let t(f) = f**2. What is t(q(v))?\nAnswer: 28822778629225*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(24) + -4*sqrt(24)))\/((2*sqrt(64))\/sqrt(8)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6)*2490\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/4 of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 754 and 2668.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j + 4*f - 32, 3*j - f = 16. What is the remainder when (54\/24)\/(j\/32) is divided by (-3 + -2)\/(2\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let h(p) = p**3 - 4*p**2 - p + 1. Let k be h(4). Let q be (-3)\/(36\/16 + k). Let n(y) = -9*y + 6*y + 5*y + q*y. Give n(x(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from jfqbbtoo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-247)\/665 - (-12)\/15?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270.6 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1501 (base 12) to base 8.\nAnswer: -4621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1274\/(-56) - 162\/(-45)*5\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7035 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than -5888674.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {z: 3, r: 1, c: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76128 + 31?\nAnswer: -76087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -1*(1 - -1). Let t = y - 2. What is the common denominator of (t\/22)\/(2\/(-50)) and -19\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-5)\/((-5)\/(-43)). Let n = -16 - i. Let a = 683 + -583. Calculate the highest common divisor of a and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170630*u**3 - 358879*u**3 - 29960*u**3 - 68277*u**3.\nAnswer: -627746*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 63*x**5\/5 - 3*x**2\/2 - 766*x - 42. Find the first derivative of h(u) wrt u.\nAnswer: 252*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -4, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -34*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(180)*-1)\/((sqrt(640)*-2 - sqrt(10)) + sqrt(10) + sqrt(10)))\/(2*sqrt(6)*-2 - 3*sqrt(6)*2).\nAnswer: -sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b - 4*h + 30, 4*b - 8*h - 8*h = -18*h + h + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -46, -63, -84, -109?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/35)\/((-1)\/(-25)). Suppose 9*l - 4*l + x = 0. Is l not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84559698 equal to -253679090\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + a - 32)*(2*a**2 - a**2 + 0*a**2) + 158*a**2 + 6*a**3 - 158*a**2.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4026190 to the nearest integer?\nAnswer: 2007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 5*o + 17. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zxxxz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1572579 millennia in centuries?\nAnswer: 1.572579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 24349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.3 (c) 1592815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((12 - 27) + -22)\/((-2)\/4) is divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/4 - i**3\/6 - i**2\/2 + i. Let y be l(-1). Calculate the least common multiple of 10 and -1 - (-1 + y)*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5856)\/(-2562)*(-175)\/(-8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -123, 25629, 4 in ascending order.\nAnswer: -123, 0, 4, 25629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/((a**9*a)\/a))\/(a*a**(2\/27))**7 assuming a is positive.\nAnswer: a**(-437\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*j**4 - 3*j**4 + j**5 - 53*j**4)*(-1 + 0 - 2)*(2 - 1 - 2).\nAnswer: 3*j**5 - 450*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 - -130. Does r = -47\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*o + 48 = 0, 5*o - 56 - 95 = -2*w. Suppose 2*v + n = -143, 4*n = 4 + 8. Let s = v + 105. What is the remainder when w is divided by s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*5*(sqrt(176) + 1 - sqrt(176))**2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203482603*t**3*u**2 + 2*t**2*u**2 - t**2*u - t - 13285*u**2 - 3*u wrt t?\nAnswer: -1220895618*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164836554 is divided by 8315?\nAnswer: 8309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/40*(-3)\/(-84)*8?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 69*s - 5. Let o be b(5). Let y(m) = -m**3 + 4*m**2 + 4*m - 7. Let d be y(4). Suppose d*x = 14*x - o. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23311.\nAnswer: 23311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0718 - 145906515.\nAnswer: -145906515.0718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/3 - 57*v - 2. Let h(y) be the first derivative of 7*y**3\/3 - 41. What is f(h(u))?\nAnswer: 196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:58 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -140530889614210?\nAnswer: -140530889614208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -85. Calculate the remainder when 107 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175.97 - -178. Let x = i - 0.03. Let u = -1.99995 + x. Round u to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -1. Let l = -9.5 - -9.437. Let f = 0.263 + l. Which is the smallest value? (a) f (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0212317809 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 6*v - 2*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1555, -3, 32 in increasing order.\nAnswer: -3, 4, 32, 1555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 469, 998, 1739, 2692?\nAnswer: 3857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, -0.266, -0.1, -7?\nAnswer: -0.266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44067540 divided by -5\nAnswer: -8813508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -30*b + 105. Let g = 1.1 + -0.1. What is the closest to g in b, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 9. Let n(z) = -25*z. What is n(r(d))?\nAnswer: 50*d - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -31954178\nAnswer: -159770890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18791.\nAnswer: 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9704 + 9706. Let w(d) = -d**2 + 8*d - 8. Let f be w(6). Solve -30 = -t*j - f*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2.1 (b) 2 (c) 4\/7 (d) -2 (e) 2\/3 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose 52 = z*b + 2*f - 33, 0 = -5*b - f + 137. Let s = 43 + b. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -67. Solve -3*i = i + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833)*3 - 6*(sqrt(136) - -2*sqrt(136))\/sqrt(8)) + 1.\nAnswer: -60*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 3:17 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.344 - -11.29. Let s = 0.0153 - 0.0693. Let g = s - v. What is the second biggest value in -9, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 4. Let u be n(0). Let h be u\/14 - (-230)\/(-315). Let l = 0.08 + 2.92. Which is the smallest value? (a) l (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 1. Let f(t) = -3. Let x(b) = -1. Suppose -66 = 3*o + 3*o. Let n(q) = o*x(q) + 4*f(q). What is 3*n(l) - 3*p(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84995250 + 84995664.00181. Let z = k - 414. Round z to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5)*(-10)\/4. Let o(q) = -2*q - 7. Let l be o(-5). Suppose 2*v = l*v - 9. Solve t + 0 + v = -u*z, -2*z - 4 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*k = -877 + 183, 0 = -5*u - 5*k + 710. Does 45 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.807453mm in nanometers?\nAnswer: 6807453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122100 (base 4) in base 10?\nAnswer: -9872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/5*o**2 + 0*o + 2\/5*o**4 - 2\/5*o**5 + 8\/5*o**3 + 0 = 0 for o.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 386518.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 24*c**2 + 9*c - 49. Let v be w(24). Let b = 165 - v. Let q(l) = l**3 + l**2 + 1. What is q(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/120 - t**5\/30 - t**4\/24 - t**3\/6 - 46*t**2 - 2*t. What is o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5158 - -5158. Put t, -7, 4 in ascending order.\nAnswer: -7, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 39 = -345 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (14 + -6 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/120 + c**5\/60 + c**4\/24 + 7*c**3\/6 + c**2. Is k(0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-8))\/(6\/(72\/(-2)))*1408\/(-96)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.33 + 5.33. Sort -4, -3, 1, c in decreasing order.\nAnswer: c, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 20*v**3 + 1 + 42*v**2 - 18*v**2 - 1.\nAnswer: 20*v**3 + 24*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2472*n + 5724. List the prime factors of c(28).\nAnswer: 2, 3, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 2*w = 16*b + 10, 20*w - 22*w + 30 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6014501?\nAnswer: 277, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -36, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2990*q**2*r**2 + 35*q**2 + 12*q + 2*r**2 + 152*r + 1 wrt q?\nAnswer: -5980*r**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 368099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = y, -2*z - 14 = -2*y + 2. Calculate the lowest common multiple of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 1. Suppose -6 = -3*m + 5*d, -l = -m - 2*m + 3*d. Suppose -3*v - m*i = i + 6, v - 4*i = -22. Sort -3, 0.1, v in descending order.\nAnswer: 0.1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 64579005.\nAnswer: 64579005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7.6 times 1\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18045\/(7 - (-481)\/(-78)). Calculate the highest common divisor of y and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 528 - 524. Solve 0 = 2*l - k + 6, 0 = k - c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((266\/(-171))\/(7\/(-21))))\/(44\/(-14)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16064896.79 rounded to the nearest one thousand?\nAnswer: -16065000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(112) + 4 + -2 + 0 + sqrt(112) + 2 + -1 + 5)**2 + -5.\nAnswer: 48*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912933 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 - 171*u - 511. Let w be m(-3). Let n be 0\/(-2 - (-1)\/1). Let o be n + 28 + 2 + 0. Calculate the greatest common divisor of o and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 118*w - 150. Let v(u) = -119*u + 149. Let x(z) = -3*a(z) - 4*v(z). Differentiate x(k) with respect to k.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8\/5, -4\/9, 5, 0?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157801181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15420876782 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (153\/(-204))\/((-44)\/64*54)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus 10751.6?\nAnswer: -10751.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*q - 12*h + 32, -4*h = -q + 18. Let v(p) = -3*p + 3. Let o be v(2). Let t be o + q\/3 - 2\/6. Is t smaller than -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/8, -9.66, -2\/5, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 451452.437 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.34 to the nearest integer.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t - 5. Let l be (-20)\/15*(-18)\/4. Let d(j) = 5*j - 6. Let h(s) = l*q(s) - 5*d(s). Let v(c) = c. Give v(h(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004282 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620516.\nAnswer: 2, 13, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/24 + 19*l**2. Let r(f) be the first derivative of -3*f**3 - 5 + 5*f**3 + 3. What is k(r(h))?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 17*h + 5. Solve 0 = y, -2*z = z - h*y - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241338695 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 3. What is the remainder when n(-13) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + 27. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(288) + sqrt(288))*-3 - (4 + (sqrt(2) + sqrt(2) + -2 + sqrt(2) - sqrt(2)) - sqrt(12)\/sqrt(216)))**2.\nAnswer: -36533*sqrt(2)\/3 + 4623403\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (112\/(-24))\/(1078\/(-396)). Determine o, given that 8\/7 + 18\/7*o + t*o**2 + 2\/7*o**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 6*i - 1. Let c = -153 - -156. Suppose -3*b + x - 12 = -x, 0 = 2*b - c*x + 8. Determine u(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 753339 and 113703?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 836, 1673, 2510, 3347, 4184?\n\"Answer: 837*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20486541.0000021 - 20486516. Let m = -25 + w. What is m rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/147)\/(17\/(-48790)*10).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10256466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*50\/(-1500)*165.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-5)*480\/(-672)*(-28)\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*p = -17562, 3*h - h + 3*p - 17567 = 0. Is (h\/(-16))\/(2\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 23583?\nAnswer: -5\/23583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 12:11 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62307 - -139624. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c - 117 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 45 = 0. Suppose 0 = 10*q - u*q + 30. Calculate the smallest common multiple of q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 divided by -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12401242 to the nearest integer?\nAnswer: 3522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 3*z**2 - 3*z**2 + (-3166 + 3166 + 34*z)*(8 - 4*z**2 - 8) + (7 - 4 - 2)*(-2*z**2 + z**3 + 2*z**2) - 2*z**3 - 5*z**2 + 5*z**2.\nAnswer: -138*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2982 + -2967. Calculate the remainder when (-690)\/(-25) + 2\/5 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4470 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/1 + -2)\/((-15)\/(-56700)*18). Solve 3*x = -67*x + n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15377232 - 9093017\nAnswer: 6284215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*12\/16*2\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*h**2 + 0)*(-2 + 10 + 1) - 2*h**2 - 1 + 1 + (488*h - 488*h - 243*h**2)*(1 - 5 + 1) + 3*h**2 - 4*h**2 + 2*h**2.\nAnswer: 710*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 7, -56, 4, 3, 5, 246 in increasing order.\nAnswer: -56, 3, 4, 5, 7, 11, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from wozswszssssw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 1 = 2210*b - 2212*b, -4*b = 4*p - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7447)\/(-44628) + (-2)\/12. Let k = u + 338417\/59504. What is the common denominator of k and 5\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l = -165 + 944 + 313 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + 110*p**2 - 5*p - 123. What is r(-55)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3 = -5*t, -105*m + 6*t - 4 = -104*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6464 + -6463.951552. What is v rounded to 3 dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002496666 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 7*q = -6. Suppose 4*p - 85 = q*o, 3*p - 4*o = 2*p + 5. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 670081 = -4*b, 398195 = 5*b + 2*y - 439416. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1045*v - 493*v + 69*v to j*v + r and give j.\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g - 5*g**2 + 5*g - 32*g**4 + 199*g**4 + 68*g**4 wrt g.\nAnswer: 5640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*h + 6*h + 7, -3*h = -j + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -0.017.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 630793.3um?\nAnswer: 630.7933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2763408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -202*g + 47477. Give b(235).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*z**3 - 4 - 4*z**3 + 3 + 8 wrt z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.53034 times 35?\nAnswer: -88.5619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 825, 798, 767, 732, 693, 650?\n\"Answer: -2*s**2 - 21*s + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2164 (base 13) to base 9\nAnswer: 6331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*m - 14 + 5, m - 6 = -u. Suppose p = -5*f + 14, f + m*p - 5*p - 5 = 0. Solve 0 = -r + f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/473 (b) 0.3 (c) 4 (d) -1.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -227*u. Let j(m) = -3*m. Determine l(j(q)).\nAnswer: 681*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 3*d + 39 = 27, -5*d - 20 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + (6 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 + 107. Let d(f) be the second derivative of 0 + l*f**2 - f + 0*f**3 - 1\/12*f**4. Let r(a) = -2*a. Determine d(r(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04936 * 3362.\nAnswer: 165.94832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13, -2, 0.941, 4\/3, -5?\nAnswer: 0.941","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) -1\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 1766115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4 = -20 + 1, 39 = 3*c - 19*t + 99 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 3. Let x be c(0). Suppose 8*k - d - 74 = 3*k, -4*d - 58 = -x*k. Suppose 0 = 3*a - k - 19. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5896*a - 187684 = -7289*a - 31668 for a.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -525 - -526. Suppose f + f = 6. Suppose -f*b - b + 16 = 0. What is the greatest common factor of v and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201200 (base 3) to base 12.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5380+3973.059\nAnswer: 9353.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 2*a - 42*a**2 + 54*a**2 + a to the form t*a + d + k*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -4*l + 8*l. Let y(s) = -s**3 + 6*s**2 + 9*s - 8. Let o be y(7). Suppose 0 = -3*r + o*r - l. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 698 + -694. Let h(r) be the first derivative of -4 - 1\/2*r**2 + 1\/3*r**3 + 0*r. Give h(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/27, 0.3 in increasing order.\nAnswer: 2\/27, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.118 + 68. Let b = h + 0.198. Let p = -3.08 + b. Put 0.4, p, -0.18 in decreasing order.\nAnswer: 0.4, -0.18, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 3. Let x be m(5). Let w(i) = -5 - 102*i + 98*i + 1 + 2. Give w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 18. Let n = 8909 + -8899. Calculate the smallest common multiple of o and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.115124 - -4.884876. Let j be (-2 - -27)*2\/(-2). Which is greater: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) 2\/67 (c) -1 (d) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/23, 0, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11893 and 496.8.\nAnswer: 5908442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51892*u**4 - 55*u + 379.\nAnswer: -622704*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7979444491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2203557033 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*o + 15 = 4*s, -2*o - 2 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Suppose 4*w = -5*o + 23, 0*o - 5*o = -5*w - 5. Suppose 0 = 4*d + 1 + o, -2*c - 5*d - 1 = 0. Sort c, 1, z in decreasing order.\nAnswer: z, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 - 2. Let t(f) = -22*f**2 - 9. Let z(v) = 18*d(v) - 4*t(v). Let b(c) be the third derivative of -c**5\/6 + c**2. What is b(z(p))?\nAnswer: -40*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249309, -249332, -249387, -249486, -249641?\nAnswer: -249864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 49*u - 56. Let c be t(12). Let n = 539 - c. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1644343 or -1644331?\nAnswer: -1644331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 471 and 2.03?\nAnswer: 956.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*j*k**2*r**2 - 41*j*k**2*r + 2*j*k*r + 2*j*k - 2*k*r**2 - 61*k wrt k?\nAnswer: 32*j*r**2 - 82*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8239)\/(-11) + 0\/(-2).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by 68\nAnswer: 50\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyjpcp. Give prob of sequence pc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -23*x**2 + 3253*x + 1816. Give l(142).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 240d?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-925)\/10*84\/(-10). Let o be 4\/22 - h\/99. Let b = -15 + 8. Are b and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0*y**2 - 1\/6*y**6 + 0 + 0*y**3 + 1\/6*y**4 + 0*y**5 - 2*y. Find the third derivative of f(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -25*c**2 + 8*c - 15. Let m(q) = 12*q**2 - 4*q + 7. Let h(j) = 5*m(j) + 2*v(j). Is h(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2526652.68 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 101*y - 1065. What is s(-9)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -16*s + 66 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 0 - ((-198)\/(-28) - 10). Let z = 64\/35 - h. Put -0.2, -3\/2, z, -95 in decreasing order.\nAnswer: z, -0.2, -3\/2, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-39) + (-1617)\/4459?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 10 + -12 + 2 + (2 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 6*b**2 - 9*b - 44. Let z be r(-6). Let h(i) = 9*i - 80. Suppose 17 - 1 = 4*w. Calculate the smallest common multiple of h(z) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 - b**2 + 5*b + 3. Let o(q) = q**3 + q + 1. Give 5*o(y) - u(y).\nAnswer: 2*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 5*f + 4*f**2 + 2*f**2 - 3*f**2 + 3. Does 17 divide u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/59 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*o + 2*o. What is the remainder when 136*((-99)\/18 + 6) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1 + 2 - 15*p + 8*p + 10*p. Let z(c) = -11. Let t(y) = 7. Let f(h) = 8*t(h) + 5*z(h). Let a(k) = d(k) - 3*f(k). Let r(i) = -2*i**2. Calculate a(r(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68\/23*k - 2\/23*k**2 - 578\/23.\nAnswer: -2*(k + 17)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 20, 0 = -4*q - d - d + 8. Let i be (-9)\/(36\/(-104)) + q. What is the greatest common divisor of i and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -2*d + 4*z, 3*d + 5*z + 21 = 0. Let q be (d - -1)*10\/(-35). Suppose 0*t + 0 - q*t**2 = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22351042.8ms?\nAnswer: 0.258692625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqjnewnjjneq. Give prob of sequence wqn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66915 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15.9 * 11353\nAnswer: -180512.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -10, 1, -67 in descending order.\nAnswer: 1, 0, -3, -10, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 - w**2. Let n = 39 - 35. Suppose -12*s = -8*s - n. Calculate o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550, -519, -468, -397, -306?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 706 + 10666?\nAnswer: 11574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 731761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -456817, -456814, -456811?\n\"Answer: 3*f - 456820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -330, -320, -310, -300?\n\"Answer: 10*h - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (77 + -8)) + 32 + 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**2 - 68*h**6 - 9*h**2 - 227*h**6 - 2*h**2 + 2*h - 13*h**2 wrt h?\nAnswer: -35400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -q. Suppose 5 + 10 = -3*d. Let b(s) = -s**3 - s**2 + 4*s + 1. Let y be b(-2). Sort y, d, q in increasing order.\nAnswer: d, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -5 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9908.\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -13 + (-5 - -10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49, -101, -151, -199, -245, -289?\n\"Answer: s**2 - 55*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*s**3 + 138*s**2 - 4870*s?\nAnswer: -72*s + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-22 + 4 + 3)) + 198 + -201?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 325342 and -365534.7.\nAnswer: -40192.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + 25. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476100 and 2484.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1012)\/(-12))\/(1\/15*5)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v + 40. Determine m(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4483 divided by 50.\nAnswer: -4483\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763705.\nAnswer: 5, 19, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15535 - 10564. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 488 - 458. Calculate the greatest common factor of 225 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3485*d + 349821 = -519*d - 3129*d - 310*d for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*r + 2 + 41, -2*v = -5*r + 66. Suppose -t + 2*u - 30 = 0, -3*u - 3 = -t - 28. Let l = v - t. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258127671 and 1227?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/120 + 7*v**5\/60 - 2*v**4\/3 + v**3\/2 - 1666*v**2. What is l(-9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 17, 56, 131, 254, 437, 692?\n\"Answer: 2*u**3 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4845 + -4839. Solve j*n + 6 = -u + 3*n, -5*u - 3*n = -6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 2. Let r(b) = -3*b**2 - 2*b. Let c(s) = 10*s**2 + 6*s - 1. Give w*r(j) + 2*c(j).\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003966317 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q**(-1\/6))\/((q\/(q**6\/q))\/(q*q\/q**(2\/3)*q)) assuming q is positive.\nAnswer: q**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/11)*w*w**18 assuming w is positive.\nAnswer: w**(212\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -375107, -1500170, -3375275, -6000422, -9375611, -13500842?\n\"Answer: -375021*h**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**3 - c**2 + 2 + c**4 - 3*c**3 + 3*c**2 to the form a*c**4 + r*c + v*c**3 + f*c**2 + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.781987um in centimeters?\nAnswer: 0.0009781987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 31*z - 15. What is a(-28)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0559*-6\nAnswer: -0.3354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -480*-4706\nAnswer: 2258880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 - 138. Let m(z) be the third derivative of 2\/3*z**3 - 2\/105*z**7 - 1\/3*z**4 + 0 - 9\/20*z**j - 5*z**2 - 19\/120*z**6 + 0*z. Factor m(u).\nAnswer: -(u + 1)*(u + 2)**2*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -4*x**6\/3 - x**2\/2 - 11. Find the second derivative of u(s) wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((7 - 4) + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -7*g**3\/3 - 10498*g**2 - 694369*g - 296944\/3 = 0.\nAnswer: -4432, -67, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 667406 a multiple of 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 2*s + 7*s. Let y(w) = w**2 - 5*w + 7. Let n be y(3). What is i(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1955 (base 13) to base 6.\nAnswer: -25312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2028 - -511055\/252. Is 1 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356 + 356. Suppose -4*x + 7*x = 12, n = -o + x + 56. Calculate the highest common factor of 228 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(325) - ((sqrt(325) - (-2 + sqrt(325))) + sqrt(325))) + 1)*-4 - (-5 + (1*sqrt(325)*-6 - sqrt(325)) + sqrt(325)))**2.\nAnswer: -11781 - 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9341, 9342, 9343, 9344?\nAnswer: 9345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 37. Let s = 5 + j. Let w(o) = -7*o**3 - o**2 - o. Calculate w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73\/4 + 373\/20. Suppose 0 = -2*a - 2, 0 = -i - 2*i - 2*a + 16. Let h be ((-4)\/(-10))\/(i\/10). What is the smallest value in h, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-68 - -143) - -8.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-6)*(144414\/9944)\/213.\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1800 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 6*n + 3. Let w be m(8). Suppose -w*r - 40 = -23*r. Solve -r = -g + 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.79 + -81.3. What is n rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10995 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 h(l) = -7 - 443*l**2 + l**3 - 2*l + l + 453*l**2. Let p be h(-10). Let o(a) = a - 1. Let q(i) = -5*i + 6. Calculate p*o(t) + q(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 15\/2*c**2 + 3*c + 10*c**3 + 1\/2*c**6 - 1 + 15\/2*c**4 + 3*c**5. What is n in t(n) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b826 (base 13) to base 10.\nAnswer: -168356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19843839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17ab24 (base 14) in base 15?\nAnswer: 117c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 + -1)*(-1)\/(-3). Let l be ((-28)\/(-6))\/(q\/6). Calculate the highest common divisor of 63 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*o - 21, 0 = v - 4*o + 9*o - 7. Suppose -r + 2 = -4. Suppose r*i = 43 + 11. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 278\/9. Let l be 6 + (-7)\/((-49)\/(-84)) + 5 + -1. Which is the second biggest value? (a) q (b) -1\/3 (c) 3\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = -5*v + 7, -4*v - 5*x + 17 = 0. Suppose 15 = 2*g - 7*g - 4*b, v = -g - b. Round g to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25178040 by 14724.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-195)\/(-21) + (-8)\/28. Suppose -2*x + o = 2*g - 11, 3*x - 18 = -g. What is the lowest common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 19.0041.\nAnswer: -133.0287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dhhdipzdhzchcdpdd?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9369628153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2 - 3 + v**2 + v + 0. Suppose -5 = 3*y - 23. Let k be ((-2)\/(-6))\/((-2)\/y). Let q(b) = -4*b**2 - 7*b + 7. Give k*q(a) - 6*u(a).\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 34055274?\nAnswer: 34055271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1997724 by 6.\nAnswer: -332954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/8, -2\/7, 0.21, -0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(6\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 + 4320*r**2 - 70100*r + 264000 = 0. Calculate r.\nAnswer: -880, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8692, -8694, -8758, -8878, -9048?\nAnswer: -9262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/195 and -24.483 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 6*w - 3. Let g(h) = -h**2 + 8*h + 1. Let u(i) = -g(i) - p(i). Let y(j) = -5*j**2 + 4*j - 4. What is 11*u(z) + 6*y(z)?\nAnswer: 3*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from pgggggzggz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:27 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 240*y + 747.\nAnswer: -3*(y - 83)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.6. Let d = -0.16 - -1.46. Let b = -1.1 + d. Sort b, -2, k in decreasing order.\nAnswer: k, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3390 + -3246. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + c = -22, 5*y = -2*c + 21. Let m(o) = o + 2. Let g be m(0). Suppose -g - 3 = -y*n. Are -1\/6 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6794965*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/15 - (-42)\/70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3454, -7004, -10768, -14854, -19370, -24424, -30124?\n\"Answer: -18*t**3 + t**2 - 3427*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34628045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3 - 2 - 4*t**2 - 547*t**3 + 6*t**2.\nAnswer: -547*t**3 + 2*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 65818*f**2 - 1153*f + 8. Is k(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311054877.\nAnswer: 3, 7, 127, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(1\/30*5). Let c = j + -1510\/9. What is the third biggest value in c, 3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(612)*2 + 5 + sqrt(612)) + -5 - (1*sqrt(204)*-6)\/(sqrt(12) - (sqrt(972) + sqrt(972)*1 + sqrt(972)) - sqrt(12))*-5)**2.\nAnswer: 6580*sqrt(17)\/3 + 7378613\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7513654814.\nAnswer: 2, 3756827407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -4*j**7\/105 + 7*j**4\/24 + 7*j**2. What is the second derivative of r(a) wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j + 5*m - 16, -3*j - 3*m = -42. Suppose -5*w = -0*p - 2*p - 1, j = 3*w. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -2479, 3, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 10. Let k be (-8 - -4) + 2\/b. Is ((-1 - k) + -966)*1*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t + 1. Let g(f) = 8*f**2 + 9*f + 9. Let i(q) = 2*g(q) - 18*n(q). Let u(v) be the third derivative of -7*v**4\/12 - v**2. Give i(u(j)).\nAnswer: -392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 1418*g**2 + 10*g.\nAnswer: -1418*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3399 - -0.0831. Let b = -0.077 - w. What is the third smallest value in -4, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - (-17 + 10) - -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 20 = -4*y. Suppose -4*p - y*i + 256 = 0, -2*i + 124 = -3*p + 316. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 5*u = 29*p + 10, -p + u - 7 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 - 6*a**3 + 3*a**2 + 6*a = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 9*l**2 - 10*l + 11. Let w(j) = -j**2 - 3*j + 10. Let i be w(2). Suppose i*k = 4*k - 32. What is t(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 8:58 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - 1. Let g = -56 - -58. Let u be (-21)\/(-55) + (g\/(-11) - 0). Which is the third biggest value? (a) f (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-8)\/(2112\/(-270)). Let k(g) = -g**3 - 5*g**2 + 5*g - 6. Let r be k(-6). Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -21.5. Let u = -3.6 + 8. Let f = -4 + u. What is the closest to -2\/7 in 0.5, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/(4\/(-54))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 126 - 2. Let u = -16 - m. Suppose 6*o + u = 3*o. Put -2, o, -1 in decreasing order.\nAnswer: -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/5 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o*q**2*u*x - 2*o*u**3*x + 2*o*u**2 + o*x - q**2*u**3 - 3251*q**2*u**2*x + 6*q*u + 3*q - 2*u**3*x + 23*u**3 wrt q.\nAnswer: 8*o*u*x - 2*u**3 - 6502*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203663 - -287557. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*-46*-26*(-15)\/195.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27729 is divided by 5532.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -89903 divided by 35?\nAnswer: -89903\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.968 + -34. Let u = v + 0.062. Let j = u + -2.03. What is the fourth smallest value in j, 0.5, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.239542ns in minutes?\nAnswer: 0.0000000002873257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3220\/1329 (b) 1 (c) 11 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5643.392 and 1.\nAnswer: 5643.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 556, 876, 1422, 2200, 3216, 4476, 5986?\nAnswer: 7752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.764177 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30 = -3*p. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 11}. What is prob of sequence vjvv?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/19? (a) -0.095 (b) 0.2 (c) -0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 102881674\/9 and 11431297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2, -0.05, -26, -3\/464?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3492 times 134.2\nAnswer: -468626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, 0.1, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - 2*(sqrt(931) + 0) - (-2 + (sqrt(931) - (2*sqrt(931) - sqrt(931)) - sqrt(931))))**2 - -5*6*(sqrt(1900) + 0 + sqrt(1900)).\nAnswer: 4 + 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 2*f**2 + 4*f + 2. Does 20 divide x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-48))\/((-6)\/(-37)) and 47\/30?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d - x = 2, 4*d + x = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48 + -13.68. Let u = x - -13. Which is the smallest value? (a) 0.5 (b) -0.01 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0 - 12, -2*j + 78 = 4*o. Let y(i) = i**3 - 5*i**2 + 52*i + 6. Calculate the least common multiple of y(0) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20535, 41059, 61581, 82101, 102619, 123135, 143649?\n\"Answer: -i**2 + 20527*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 7*m**2 - 5*m - 12. What is the remainder when 45 is divided by p(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3159 + 181*q + 3159)*(2 + 0 - 3) to j*q + t and give j.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(sqrt(132) + 2*sqrt(132))*2)\/(sqrt(60)\/(sqrt(30)\/sqrt(6)) - -3*sqrt(432)).\nAnswer: 54*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 9*n - 1. Calculate z(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -1. What is the least common multiple of w and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8*200\/30. Let v(w) = 158*w - 1268. Let p be v(8). Which is the third smallest value? (a) -2\/15 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b. Let d be j(3). Let g = d - 12. What is the units digit of 3*g*(-8)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(4\/17)*m**(-44)\/m*m assuming m is positive.\nAnswer: m**(-735\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 20*l + 2. What are the prime factors of c(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 25*h**2 + 15*h - 469. Give j(11).\nAnswer: 2721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*u - 73*u - 245 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, e: 1, y: 7, q: 2}. What is prob of picking 1 q, 1 l, and 1 e?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (0 - -12 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94059 (base 10) to base 12.\nAnswer: -46523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12030 - -14496. Calculate the greatest common divisor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 2\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43456*d**3 - 46*d + 348.\nAnswer: -260736*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -827 + 821 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-49)\/(-3)*(4 - (-4726)\/(-22)). Let m = a - -3441. Find the common denominator of 1*(-4)\/(-16) + (-14)\/24 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by 78650?\nAnswer: -49\/15730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -17)\/(1\/(-24019)). Let h = -499532\/3 - j. Let s = -1639 + h. Which is bigger: s or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 438858.\nAnswer: 438861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opbbobyyohip. What is prob of sequence bbo?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t**(2\/23)*t)\/(t\/(t**(-1)*t*t))**26*(t\/((t**(1\/3)\/t)\/t*t*t))**(-48)*(t\/(t**1*t))**8 assuming t is positive.\nAnswer: t**(-3603\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*o + 113*o - 193215 = 51315. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198800 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 4*s**3 - 12*s**2 + 4*s + 8.\nAnswer: 4*(s - 2)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 6*k + 28. Let a be s(-9). What is the least common multiple of 18 and 33\/(-11)*(a + -12)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -22 + 5 + 40\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2792 = -21*t - 5713. Let k = 403 + t. Let s(a) = -2*a. Let f(h) = -h - 1. Determine k*f(n) + 2*s(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23305*c - 23314*c - 23349*c + 70148*c.\nAnswer: 180*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26803 + 14759 - 17361 - 8739 - 35294)*(-1 + w + 1) to the form y*w + x and give y.\nAnswer: -73438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4640 - -4640. Let i(v) be the second derivative of 1\/2*v**3 + 1\/14*v**7 + 17*v - 3\/10*v**5 + 0*v**6 + 0*v**2 + p + 0*v**4. Find n, given that i(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2. Let d(g) = 13*g**3 - 11*g**2 + 31*g + 10. Let r(k) = d(k) + 5*w(k). Let x be r(15). Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from walwnlowanwznnl. What is prob of sequence lnz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -5*r**4\/24 - 28*r**2. Let m(v) = -2*v. Determine -4*k(u) + 11*m(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 75*f**3 + 429*f**2 + 507*f.\nAnswer: 3*f*(f - 13)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (2 - 4))\/(-1). Let u(z) be the first derivative of 1\/3*z**3 - 3 + z**2 + o*z. What is the second derivative of u(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 18*n = 23535. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y + 8. Calculate z(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*i + 152 = 0, 0 = -3*p + 3*i - 7*i + 109. Suppose 0 = -p*y + 12063 + 5643. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from rzreeeebz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.019241\nAnswer: -0.0038482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11231 + 859?\nAnswer: 12090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472340881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 8*o**2 + 9*o - 12. Let i = 599 + -604. Calculate c(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001758 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 78 - 4*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3 - (6 - 254\/39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4428731 grams?\nAnswer: 0.0000004428731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 = -3*u - 1, -2*u + 3*d = 0. Let t(x) = x**3 + 27*x**2 - 4*x - 105. Let m be t(-27). Sort -0.04, u, m in descending order.\nAnswer: m, -0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269240926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, o: 1}. Give prob of sequence kkk.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 13*d**2 + 16*d + 14. Let l be c(-12). Let b be l\/60 - 1\/(-6). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 - 377. Let w(b) = 6242*b + 19. Is w(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3.554, -1\/2?\nAnswer: 3.554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2631*c + 15792. Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9108 and 305532.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 4. Let m(l) = -l + 3. Let k(i) = -5*m(i) + 4*v(i). What is the remainder when 37 is divided by k(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 - -3735?\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktkkctktqakcck. Give prob of picking 1 c, 1 t, and 2 k.\nAnswer: 135\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -53.029. Let v = r + 0.071. Let u be 3 - ((-128)\/(-28) - 2). Which is the third biggest value? (a) u (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11906\/4965 + 2\/993. Are f and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 15 = 9. Let f(r) = -3*r + 5. Let d(n) = 4*n - 6. Give b*d(i) + 5*f(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + -3 + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 707 + -415. Let h = k + -292.0000637. What is h rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {z: 1, s: 1, g: 3, p: 1, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11))**(-21)*(w**2*w)**(19\/2))**(2\/31) assuming w is positive.\nAnswer: w**(543\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/18, 101, -35, 0.3, -1\/2 in descending order.\nAnswer: 101, 0.3, -1\/18, -1\/2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 2*a**2 + 3*a + 2. Let d be g(-2). Suppose -x - d*q = -2*q - 107, x - 131 = 4*q. Does 24 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1250554 + -3?\nAnswer: 1250551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 4, r: 10, h: 5, m: 1}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 13 + 102*d + 4*d - 3*d + d - d - d + d + (0*d - 3*d + 2*d)*(-2 + 0 + 3) + 3 - 3 - 2*d as l + o*d and give o.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73064607 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3206.79 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*x + 97829, 0 = -2*x - 18*i + 21*i + 65232. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62230894*r**3 - 150453098*r**2.\nAnswer: -373385364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1357\/72 - -170\/9. Let s(v) be the third derivative of -1\/6*v**3 - 1\/40*v**6 - 1\/30*v**5 + 0 - v**2 + 0*v + w*v**4. Determine s(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 297 + -300.63. Let k = g - -3.13. Which is the second biggest value? (a) -3\/5 (b) -3 (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 32*p**2 - 4. Let n(o) = o**3 + 46*o**2 - o + 5. Let z(i) = 3*b(i) + 2*n(i). Let t(v) = -v**2 - 1. Calculate t(j) - z(j).\nAnswer: j**3 + 3*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -13. Let n(i) = -i**3 + 10*i**2 - 8*i - 7. Let z be n(k). List the prime factors of 11\/1 + 4\/z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 20. Let o be c(10). Suppose -z - 4*z - 4*n + 249 = 0, -4*n - 241 = -5*z. Let v = z + -44. Solve 0 = -v*b + o + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**5 + 2*l**5 - l**5)*(1 - 2 + 2) - l**5 + 4*l**5 - 5*l**5 - 1377*l**5 + 993*l**5 - 2547*l**5.\nAnswer: -2935*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-330)\/(-75) - (-6 + 4 - 4)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 267.6117217 + 0.35\nAnswer: 267.9617217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.038 and 4542?\nAnswer: 172.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 2*y)*(-2*y + 2 - 2) + 16*y**2 - 2071 + 2071.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 16719.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3758\/1073 - -150\/37. Let l = -45 - -63. Calculate the common denominator of ((-1)\/(-6))\/(4\/l) and z.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 7. Find the first derivative of -3 + 5*o**4 + 4*o**4 - j*o**4 - 2*o**4 wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2650 and 91\/2930.\nAnswer: 776450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36740320, -36740322, -36740324, -36740326, -36740328, -36740330?\nAnswer: -36740332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 74763 * -0.24\nAnswer: -17943.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5609.4 to the nearest ten.\nAnswer: -5610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12*c**2 - 357*c. Let r(s) = -3*s**2 + 89*s. Give -4*o(j) - 15*r(j).\nAnswer: -3*j**2 + 93*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 30*d**2 + 21*d**2 - 2*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12.78 + -5231175199\nAnswer: -5231175211.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/28 and -73\/148.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:40 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2307520 - -4165870. Let p(y) = 914713*y**3 + 2*y**2 - 5*y + 6. Let m be p(4). Suppose w + m = -4*j. Round j to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -7 + 10 + -30 - (-3 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:13 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 281220 and 104404.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2 - 13. Suppose f*p - 90 = p. Suppose 11 + 34 = 3*k. What is the greatest common divisor of p and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - u**3 + 0*u**3 + (4*u + 0*u - 5*u)*(-u - 15*u + 6612*u**2 + 10830*u**2 + 16*u) as d + n*u + s*u**3 + a*u**2 and give s.\nAnswer: -17444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and 35.70650545?\nAnswer: 35.71650545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 5 + 46*2. Let m = -63 + d. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 4189*r**2 + 4189*r**2 - 29*r - 11*r - 5*r**3.\nAnswer: -3*r**3 - 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 - 11 - 2\/2. Suppose f*b - 12 - 137 = -t, b + 468 = 3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**6 - 220*z**5 + z**4 + 652*z**2 wrt z.\nAnswer: 120*z**3 - 13200*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 10:52 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.943 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/1263270 and -11\/1010616.\nAnswer: 5053080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6236, 24432, 54768, 97250, 151884?\n\"Answer: y**3 + 6064*y**2 - 3*y + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*c + 6 = 4*n, 0 = -2*n - c - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*n = 15261 + 2729, 3*s = 4*n + 10792. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9883352 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4818 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 + 249823*n**2\/2 - 124911*n.\nAnswer: -n*(n - 249822)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 7, i: 7}. Give prob of sequence bi.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 + 6*v**2 - 96*v\/5 + 96\/5.\nAnswer: -3*(v - 4)**2*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 11. Let c be (9 - 12)*x\/(-3). Suppose 4*p + o = 36, 2*p - c*o = -0*o + 40. What is the lowest common multiple of p and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53500 - 53500 + 7*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 105\/(-10) - ((-50)\/(-4))\/(-25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + 372\/(-45) + 6\/10. Suppose 1\/3*w**3 - 1\/3 - 1\/3*w + i*w**2 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/15479647 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15 - (6\/(-3) - 3). Let p(n) = -n**2 - 6*n + 22. Let c be p(z). What is the tens digit of (-364)\/c - 56\/252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 108. Let a be x(-11). Solve 2*r - 4 = -4*v - 8, -5*r + a*v = -14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8324750977 and 0.07?\nAnswer: 8324750976.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyppppwyppwyyyywy. What is prob of sequence py?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 16 = -3*q - 0, 4*m = -20. Let k be (-4)\/(-25)*-1*5. Which is the second biggest value? (a) q (b) 2\/17 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1226, -2 in ascending order.\nAnswer: -2, 1, 1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 * 1.2\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 4570 = -124*p, -7*r - 200 = 5*p + r - 3*r for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t. Calculate the least common multiple of b(-1) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**3\/9 + 17767*w**2\/9 - 31078*w\/9 - 2960\/3 = 0.\nAnswer: -1\/4, 2, 4440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 3 (c) -17 (d) -91.4 (e) -1\/11 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*r - 11. Suppose 4*w = 2*u - 12, -r*u + 24 = -w - 3*w. What is the third derivative of -6*c + 6*c + u*c**4 + 3*c**2 + 2*c**4 wrt c?\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04679 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (10 + -8 - (-104)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-13))\/((-364)\/676).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -748, -759, -818, -961, -1224, -1643?\n\"Answer: -6*d**3 + 12*d**2 - 5*d - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1, -16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 2. Let f(w) = w**3 - w**2 - w + 13. Let r be f(0). Suppose 5*p + k - 73 = 0, -2*p - k + 32 = -2*k. Let j = r - p. Determine z(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 5*n + 4. Calculate v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3 - 5)*6. Suppose -3*f + 7*r - z*r = 48, r = -4*f - 64. Let w = f - -42. Solve -4*l + 17 = -k, w = -8*k + 4*k + 2*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01179 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*w = -10, -4*w = n - 3*n + 10. Let y be 1 - (-2 + (n - 2)). Suppose y = -4*b, -v - 2*b + 4 = b. What is the remainder when 9 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25894, -51793, -77690, -103585, -129478, -155369, -181258?\nAnswer: -207145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f - 232 + 256 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10*f = -f - 30, 14320*z - 5 = 14321*z + 2*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002.958 hours in milliseconds?\nAnswer: 3610648800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 85\/(-425) + (-6)\/(-105). Sort 8, g, -1\/4, -0.4, -0.12 in ascending order.\nAnswer: -0.4, -1\/4, g, -0.12, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1166, -1193, -1220?\n\"Answer: -27*s - 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 9}. Give prob of picking 4 s.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 496 and 7143082?\nAnswer: 57144656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + c**2 - 2 + 0*c + 0*c + 2*c**2 + (0 + 3 - 4)*(-c**2 - c + c) + 3 - 3 - c**2 + 18*c - 18*c - 4*c**2 in the form l + z*c**2 + h*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 22*w**2 - 2*w + 56. Let l be g(22). Let a = 1 + -8. Let r = a + l. Calculate the highest common factor of r and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*k**3 - 59 + 28 - 14*k + 31 wrt k.\nAnswer: 150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.26 - 12312154360.5.\nAnswer: -12312154363.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/24*1*(-16)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117694 and 2437378?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5192945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10653 + 10653.000004453. Round o to 7 dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggs when three letters picked without replacement from ggggsgggggggggsggggg?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 9}. Give prob of picking 2 e and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, s: 15}. Give prob of sequence zss.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/126)\/((648\/36)\/36))\/(18\/(-14))?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76 - 3*20\/15. Let k = -5 + x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d**2. Let w(u) = -u**3 - 9*u**2 - 2*u - 8. Let j be w(-9). Suppose 2*b - 4*b - 2 = 0. Let s(o) = o**2. Let v(m) = b*i(m) + j*s(m). Factor v(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 212?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 14*j**2 - 13*j - 76. Let p be m(17). Let y = p - -91. List the prime factors of y.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 255 = -3*a, -34 - 211 = 3*t + 2*a. Let b = -82 - t. Is 11 a factor of b*2\/4 + (-500)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4734993*x + 28. Let j be (-13)\/((-208)\/(-24))*(-8)\/3. Let k be n(j). Round k to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b + 16. Let v(u) = 2*u - 3. Suppose 0 = -2*k + 5*k - x + 50, -2*x + 84 = -5*k. Suppose 5*q = -17 + 2. Calculate k*v(o) + q*m(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17169 + -17139. Calculate the remainder when 12415 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 4. Let n(u) = -3*u - 8. Let q(t) = -7*f(t) - 3*n(t). Let y(g) = -3*g + 33. Let a be y(10). Let p(o) = -2*o + 5. Determine a*p(k) + 4*q(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 488 (c) -2\/17 (d) 15392\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 340?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 4) to base 11.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -872 + 44. Calculate the greatest common divisor of p and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 305274628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -289*j**2. Let v(a) = -2*a. Give q(v(o)).\nAnswer: -1156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -442868.119 + 443053. Let m = 184.92 + 0.08. Let s = w - m. What is s rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5bcd47 (base 15) to base 2.\nAnswer: 10000110001100010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.5, -3245?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1073086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 + 7370*m**2 + 193648*m + 6. Determine h(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 740?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/8 - (-7)\/(-28). Let l(d) = 143*d**2 + d + 1. Is l(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 10*t**2 + 3. Let g(q) = q**2 - 3*q + 2. Let p be g(2). Suppose 0 = -i - 2*o + 6*o - 26, p = 5*o - 20. Let s be b(i). Solve 4*r - r = -s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 2, q: 1}. Give prob of sequence bq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at most -3577\/186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -64. Suppose g*z = -4*o + 184, -2*o - 5*z = -21 - 74. Let k = 114 - o. Calculate the remainder when k is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6491033 microseconds in hours?\nAnswer: 0.00000000045808425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 645254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -26. Suppose -y*g = 4*z + z - 236, 5*g + 4*z = 376. Let l = -48 + g. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 477*k**3 + 2*k - 87 wrt k?\nAnswer: 2862*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, s: 6, j: 1, x: 1, l: 1}. What is prob of picking 1 u and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(84\/(-112) - 17\/(-4)). Solve 33*p + k*p - 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3449 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9 + 0*l - 3*l + 2*l + 0*l. Let v be y(-12). Solve -5*p = 2*u - 25, -u + v*p - 18 = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z = -73*z, -3*t - 5*z + 36 = 0. Solve 0 = 2*f - 4*v - t, 3*f + 0*v + 14 = -2*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 + g + 2. Let o(p) = 13*p**2 + 3*p + 4. Let k(z) = 9*b(z) - 4*o(z). Let d be k(2). Let v = 4 + 0. Solve 0 = 2*u - d*u - v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.9 and -1370.24.\nAnswer: -19046.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y + 225 = -22*y + 41*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 899683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -2767*p + 2749*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-5062*y + 18*y**2 + 5062*y).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37748 = -238*s - 29418 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 6*b - 13*b. Suppose -28*p + 369 = b*p. Calculate the remainder when p is divided by 16\/5 - 1\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222998 (base 11) to base 3\nAnswer: -200001022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -23*v - 11. Let d(c) = -8*c - 4. Let j(p) = -8*d(p) + 3*r(p). Let m be j(-1). Let x(f) = m*f + 0*f + 2 - 5*f. Give x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.092 (b) -0.2 (c) 14 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*o = 4*b + 224*o + 52, 3*b + 9*o = 171 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 49)*(0 + 2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 11. Suppose 3*a = i - 3. Suppose p + a*r = -4*p + 953, -4*p = 2*r - 762. What is p rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37703.36 millennia to months.\nAnswer: 452440320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 10*m - 204. What is the highest common factor of m and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {z: 1, a: 3, x: 2, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 446224 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461551?\nAnswer: 401, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (10 + -6 - (-48)\/(-14)). Let -4\/7 + c*n**2 + 2\/7*n**3 - 2\/7*n = 0. What is n?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**3 - b**2 + 2*b - 3. What is n(-2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4004 - -0.0004. What is the second smallest value in w, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -367 + -15?\nAnswer: -37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.9990992 rounded to two dps?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1221 + 0.0221. Which is the closest to u? (a) -2 (b) 5 (c) 0.1 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.115?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c - 14. Calculate the least common multiple of 2 and m(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847 + 1003 = 2*l - 4*s, 3670 = 4*l + 2*s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2332 and 15052?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-30) - 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 18, 4 in decreasing order.\nAnswer: 18, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.6 - 55. Let x = w + -4.6. Which is the third biggest value? (a) 4 (b) -2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmk when three letters picked without replacement from {k: 13, m: 3}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118694.\nAnswer: 2, 17, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.29.\nAnswer: 1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 - 5*b - 294. Let d(u) = 38*u**2 + 26*u + 1477. Give -22*c(s) - 4*d(s).\nAnswer: 2*s**2 + 6*s + 560","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**2 - 7*n. Suppose g + 4 = -2. Let o(l) = -7*l**2 - 6*l. Let m(r) = g*s(r) + 7*o(r). Let a(u) = 5*u. Determine m(a(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -278, 3 in decreasing order.\nAnswer: 4, 3, 0, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*q - 3257 = -72 + 2379 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 - 4*b - 2 - 7*b**2 - 4*b - 4*b**3. What is c(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640777 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/((-9)\/4) - 10. Let q(t) = 2*t**2 + 23*t + 9. Let r(s) = -s**2 - 11*s - 4. Calculate a*q(h) - 13*r(h).\nAnswer: h**2 + 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 152590.\nAnswer: 457770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 10. Solve -10 = -4*t - 30, -3*t = 5*o + y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 507 - 34*f - 33*f + 65*f.\nAnswer: -2*f + 557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:06 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 31 + 36 + -73 + 6 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 2456?\nAnswer: -17\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {g: 1, z: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (211 + -215 - (-9 + -1) - (-56 + 7)) + -2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22121 divided by 5?\nAnswer: -22121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50092 divided by -2?\nAnswer: -25046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 - 198. What is the third derivative of z*b + 1923*b**4 + 5*b + 2*b**2 - 1926*b**4 + 11*b**6 wrt b?\nAnswer: 1320*b**3 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/3116*112\/(-140)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qivigkvqvqvqjgjqq. Give prob of sequence kv.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26904*o**3 + 207*o**2 + 24619572*o?\nAnswer: -161424*o + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/(1\/(-7)). Let x = n + -5. Suppose u + x*u + y - 63 = 0, u - 5*y - 5 = 0. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*b**6 + b**3 + 1967*b**2?\nAnswer: -12600*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1329, 5222, 11765, 20958, 32801?\nAnswer: 47294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6518747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2*f + 4. Let w be q(5). Let g(i) = -i**3 - 4*i + 2. Let h(n) = 6*n**3 + 21*n - 11. Determine w*g(j) - 2*h(j).\nAnswer: -j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**3\/3 - 5*r**2 + 11*r + 9. Let k be u(9). Suppose k*m = 3*m - 54. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314349 is divided by 9281.\nAnswer: 8076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32984 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 283.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81.32 - -1.68. Let p = -797 - -881. Let j = f - p. Which is the closest to 2\/9? (a) -1\/3 (b) -6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8080 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 13 = 3*r, r + 4*r + 27 = -3*u. Let p = -4 + 8. List the prime factors of 11 - (p - -4)\/u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let r = -4 + 7. Let s(z) = 0*z**3 + r - 2*z - 3*z**3 + 2*z**3 - 5*z**2. Let t be s(-4). Calculate m(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5779, -5751, -5677, -5533, -5295, -4939?\nAnswer: -4441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**13)**47\/(w**(-8))**(-32))**(3\/22) assuming w is positive.\nAnswer: w**(1065\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1785911 = -4*d + 5*u, -3*u + 6*u = 15. Let p be d\/(-90) - (-3)\/5. Let q = 208643\/42 + p. What is the common denominator of 87\/2 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*h + 6*h. Let m be 12\/h + (-332)\/(-3). Suppose -5*c = -10*c + 55. Calculate the highest common divisor of m and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y**4 + 2*y + 7. Let a(p) = -p**4 + p + 1. Let l(n) = -28*a(n) + 4*j(n). Find the second derivative of l(v) wrt v.\nAnswer: -192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -670*p - 330304. Give w(-493).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 13*k**2 - 9*k - 39. Determine c(-13).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9633, -19265, -28897, -38529, -48161, -57793?\n\"Answer: -9632*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 35*p - 416. What is f(-46)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34302 - -7574?\nAnswer: 42876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rar when three letters picked without replacement from arrarjrrjjj?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p*p*p**(2\/11))\/p))**(-2\/53))**(-27)\/(((p*p**(-1\/4)\/p)\/p)**(-1\/5))**14 assuming p is positive.\nAnswer: p**(-4297\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) 1\/2 (b) -0.1 (c) -0.8 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -594*m - 1185. Let i be o(-2). Determine t, given that -i*t + 0 - 2\/3*t**3 - 3*t**2 = 0.\nAnswer: -3, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*w - 217626 - 218389 = 0. What are the prime factors of w?\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 6:52 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000752664 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 1, m: 1, r: 3, s: 1}. What is prob of picking 2 r, 1 s, and 1 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1, 16, -24, 4, -116, 3 in descending order.\nAnswer: 38, 16, 4, 3, -1, -24, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*t - 9. Let j be 3*((-14)\/t - (-6)\/9). Which is the nearest to -1? (a) 3 (b) -1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**3 - 4*q**2 + 4*q. What is o(2)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4289 in -0.2, -13, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 35.203?\nAnswer: -70.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21527 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(133) - -2*sqrt(133)*4)\/(sqrt(42)\/sqrt(24)))**2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 21*l - 132 = 0. Suppose -2*y - 28 = 2*y. Do y and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-54)\/(-3474)). Let j = c + 33. Let t(l) = l - 3. Let u be t(4). Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 260*p + 2755. What is the tens digit of v(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 4*k**2 - 4*k. Let p be d(5). Let m be (39\/9 + -1)*36\/8. Suppose -m = 3*t - 21. Solve -p*l = 23 + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.5, -3\/7, -2\/11, 5\/31?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.211 - -4.589. What is the second smallest value in s, 4, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 687.\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a54d (base 15) to base 6.\nAnswer: 1500101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (6 + (2 - 4)). Suppose g = -3*x + 177 - 15. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**4 + 103*b**3 - 858*b**2 + 1062*b + 2012. Let c(h) = -15*h**4 - 1647*h**3 + 13728*h**2 - 16995*h - 32190. Let i(a) = 2*c(a) + 33*q(a). Factor i(n).\nAnswer: 3*(n - 4)**2*(n + 1)*(n + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b9766 (base 12) to base 14\nAnswer: 243cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 612 by 17.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 12*h + 13. Let j = -27 + 16. Let q be n(j). Let b(g) = 1 - 2*g**2 - 2 + q. Give b(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.3 - -34. Let y = 10.5 + h. Round y to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2 + 10. Let u be (5\/2)\/(c + (-54)\/12). What is the tens digit of 2*(2475\/(-6))\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 2*t**2 - t + 1. Let y(h) = 3*h**2 - 3*h - 3. Let j = -170 - -171. Let v(m) = j*y(m) + 3*g(m). What is o in v(o) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Suppose 0 = 5*m - l, -3*i + m + 9 = -2*m. Suppose -5*t + 329 = -0*x - i*x, 0 = 4*t - 5*x - 265. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = -5*g, -4*g + 2*t - 2 = -4. Let y be 3 - (g - 39) - 0. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 3*g. Let v(a) = 4*a**2 - 5*a. Suppose -15 = 4*d - 5*t + 27, -5*d = -5*t + 50. Let b be (d\/(-6))\/(10\/(-30)). Determine b*v(i) - 7*j(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1 (b) 23 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/42)\/((-180)\/(-70)) + 128\/(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5) + ((sqrt(15)\/(sqrt(3) + sqrt(30)\/sqrt(10)))**2 - sqrt(5)) - sqrt(5)))*-1.\nAnswer: -17\/4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2054003 + 2?\nAnswer: -2054001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*18\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 27\/42249247?\nAnswer: 27\/42249247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/60)\/(((-44)\/198)\/(8\/3))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*-21*(9 - 11). Suppose -d = 3*c - 13*c. What is the greatest common divisor of c and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266671.44 milliseconds to days.\nAnswer: 0.003086475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1866\/9*9\/12*-2. Let o = -210 - g. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1396005, -1396047, -1396089, -1396131, -1396173, -1396215?\n\"Answer: -42*b - 1395963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/24 - j**2 + 31. Let d(l) = 193*l. Calculate p(d(t)).\nAnswer: 193*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12*d - 131. Let l be n(-11). Let g be -15*(-1 + (-126)\/(-130)). Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3882509 is divided by 242655.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 40*o**3 + 14*o**3.\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 + 5*r - 12. Let p(t) = 9*t**2 + 5*t - 10. Let l(f) = 4*o(f) - 3*p(f). What is l(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3519 - -0.4519. What is the closest to 0.07 in 1\/11, 1, 1\/5, p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/2 + 3*c\/2 + 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003045264 to 6 decimal places.\nAnswer: 0.000305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 + -0.1. Let z = 5.2 + v. Let w = 0.219 - z. Round w to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 0.04, 14, 2\/11, 2.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 5:48 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 280831 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: What is prob of picking 2 c when two letters picked without replacement from lcccllccccccccclcccl?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4770 or 4769?\nAnswer: 4769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-5))\/((-10)\/850)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1986 + -1985.9. Let f = -6.2 - -5. Let z = 4.2 + f. Which is the closest to -2\/7? (a) z (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q + 83*q - 208 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 12*o - 11*o. Suppose 248 = 4*w + o*w. Solve 4*i - n = -13, 7 = 3*i + 4*n + w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 88975429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*(-18)\/(-75))\/4)\/(96\/128)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 498101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844721230.\nAnswer: 2, 5, 23, 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 26. Suppose 0 = -j, l = 3*m - 2*j - 5. Suppose -3*u + m = -2*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950527.\nAnswer: 1950527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 89, -30.6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -671, -2687, -6051, -10763, -16823?\n\"Answer: -674*j**2 + 6*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1565019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.4 - 0.6. Let f = c + 27. Let h = f + 13.14. What is h rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -10*n + 0 + 0*n**2 + 29\/6*n**3 - 1\/7*n**7 + 0*n**6 + 0*n**5 + 0*n**4. What is the second derivative of d(x) wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3*m**2 - m**4 + 3*m**2 - 61*m**3 - 4*m - 56*m**3 + 115*m**3 to n*m**2 + k*m**3 + l*m + d + t*m**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let q(b) = -672*b**2. What is q(s(j))?\nAnswer: -2688*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q + 21. Let j be a(-2). Solve -j*p + 7*p - 3*v - 11 = 0, 4*p + 2*v + 18 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41058383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/9 - 338*f**3\/9 - 4256*f**2 - 1480192*f\/9 - 2809856\/9.\nAnswer: -(f + 2)*(f + 112)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n + 1801020. Suppose -241640 = -2*x + 57680. Let f = n - x. What is f rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 606*o**2 + 662*o**2 - 1268*o**2 - 2 + 2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 98 = 86. Sort o, 0, 4.\nAnswer: 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vbbpepvpbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 3*v. Let q be i(-2). Let s(h) = -2*h + 14. Let f be s(6). Suppose d + f = 3*d. Which is the closest to q? (a) -2 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((3 - 1) + -3). Suppose -h - 3 = -4*j. What is the highest common factor of j and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(4 + (-5 - 0)). What is the tens digit of t\/1*(-21 - -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose q*h + 5 = 13. Let y be (-660)\/9*(-30)\/h. What is y rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.39 - -0.39. Let s = -7.1 - l. Which is the second biggest value? (a) 0.2 (b) s (c) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.4593 nanograms in kilograms?\nAnswer: 0.0000000001214593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 2, 14240 in increasing order.\nAnswer: 0.06, 2, 14240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -72.7 times -243\nAnswer: 17666.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3\/5)*(11 - 101). Suppose -i*y + 21 = -33*y. Suppose -27 = y*g - 8*g. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmmfqmmfnqqqfqmfmn. Give prob of picking 3 f.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 2231232303?\nAnswer: 2231232311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*z = 348*z - 3*p + 944641, 5*z - 4*p - 944627 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/30 + (-220)\/150)*-3. Solve -17 = 3*k + 5*x, -d*k - 11*x + 20 = -15*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458779597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 - 13. Suppose 5*y - 42 = -4*r, -5*r = -2*y - 0*r - 3. What is the highest common divisor of m and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -1\/4*h**5 + 0*h - 1\/20*h**6 + 1\/4*h**4 + 0*h**3 + 0 + 5*h**2 + 1\/14*h**7. Determine s so that x(s) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 17*v**2 - 5*v**2)*(52*v + 24*v**2 - 52*v).\nAnswer: -600*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-8 + 18 - 13 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -23\/2. What is the closest to -1 in 1, b, 0.07?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*a - 715*a + 9674 + 4262 = -985*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m**2. Let u(d) = -373013*d**2. What is g(u(o))?\nAnswer: 1947941774366*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.99 - -19. Let r = h - 2.71. What is r rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 45 - 11. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6 - 0\/(-1). Let r = 152.4 + -152. What is the smallest value in u, 1, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.082 times 200\nAnswer: -10816.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 7*k**2 + 4*k + 2. Calculate h(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36423702, 72847388, 109271074, 145694760?\nAnswer: 182118446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/24, -4, 4\/57, -1\/2, 3\/29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -247.7. Let n = -62 + x. Let r be 4\/2*(-10)\/4. Put n, 5, r in decreasing order.\nAnswer: 5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -108, -347, -26 in ascending order.\nAnswer: -347, -108, -26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 17059282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-3 + (-44)\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*l = 63, 0 = -15414*d + 15414*d + 6*l + 108 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26196 to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 7. Let y = -450 - -455. Let f(n) be the third derivative of n**4\/4 + n**3 + 9*n**2. What is y*u(o) - 6*f(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(351) - (sqrt(351) + (sqrt(351) - -2*sqrt(351)*-5) + sqrt(351) + sqrt(351) + sqrt(351))))\/(sqrt(1323)\/sqrt(9) - (-2*sqrt(432) - sqrt(3))))**2.\nAnswer: 9477\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14302595?\nAnswer: 5, 71, 40289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/832)\/(((-2)\/1)\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 550643041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 - 196964*q\/9 + 65654\/3.\nAnswer: 2*(q - 98481)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2432866.4345 and -0.5.\nAnswer: 2432865.9345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 2, -74.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91, -168, -235, -298, -363, -436, -523?\n\"Answer: -y**3 + 11*y**2 - 103*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-78*(-3 - -2))\/((-188)\/(-12502))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q - 15 = 0. What is the tens digit of -4 + -92*(q - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + (1 + 1 - 4)*(-7 + 11 + 7))*(-2*g + 3*g - 2*g)*(-9*g - 24 + 24).\nAnswer: -207*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/73))**(-47)\/(z**(19\/4)*(z*z**(-2\/85))\/z) assuming z is positive.\nAnswer: z**(-149271\/24820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000044368939 to 6 decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 3*p**2 - 27*p - 27.\nAnswer: 3*(p - 3)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 7173?\nAnswer: 7191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:47 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158332.\nAnswer: 2, 23, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 346616.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(2880) - sqrt(45)) - (-3*sqrt(45) - (-1 + sqrt(5) + 0)).\nAnswer: -8 + 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.4 + -14.399999844. What is n rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-4 - -5) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1094.8896ns?\nAnswer: 0.000000000304136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z**3 - z**2 + 1. Let v be i(1). Let y(r) be the first derivative of r**2\/2 - 11*r + 57. Let s be y(v). Solve -s = -2*q + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 23 in increasing order.\nAnswer: -5, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4883 + -4880. Solve -23 - 5 = -4*u + 4*y, -2*y + 6 = h*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 5, w: 1, v: 7, d: 1}. What is prob of picking 1 f and 2 v?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43880 is divided by 121?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5\/3, 0.2, -2\/33, -164, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 2*l**2 + 14*l - 5. Calculate n(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(832))*-3)**2 - (sqrt(832) - (-1 + sqrt(832) + 0)) - ((2 + sqrt(832)*3 + sqrt(832))**2 + -5).\nAnswer: -5788 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 6*j**4 + 10*j**4 + (2*j**2 + 3*j**2 - 3*j**2)*(-5*j**2 + 7*j - 7*j) + 0 + j**4 + 0.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 117.93483 (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -19909.\nAnswer: -19909.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-3 + 2 - 0). Suppose -k + 2*d = 6, 15 = 5*d - 2*d. Suppose -5*f + 2*w - k*w = -31, -4*f - a*w + 35 = 0. Let h(t) = -t**2 + 4*t + 2. What is h(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8996, -26457, -55558, -96299?\n\"Answer: -5820*f**2 - f - 3175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 22*h - 20. Let c = -5 + 10. Suppose 120 = c*n + 10. Calculate the highest common divisor of n and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(168\/(-368)*2 + 16\/(-184)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6799+-0.5\nAnswer: 3.1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let x(j) = 6*j. Let r(m) = m. Let k(a) = 11*r(a) - 2*x(a). Determine c(k(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 56 = 19*r + 2*k, -r + 3*k = 16. Suppose -304 = f - 118. What are the prime factors of (-2 + r\/(-15))*f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*p + 815 + 1301 + 4124. What is the greatest common divisor of 2060 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (198\/352)\/((-6)\/8)*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**5\/15 - u**4\/6 + u**3\/9 + u**2\/3 + 12. Suppose x(i) = 0. What is i?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 192.\nAnswer: 3, 4, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**6\/120 - c**5\/80 - c**4\/24 + 10*c. Determine m so that f(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 696 = -11*h. Let w = -3478\/15 - h. Let z = 14\/9 + -8\/9. What is the third biggest value in z, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, 72, 2\/23, 0.4 in descending order.\nAnswer: 72, 5, 0.4, 0.3, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*x = -215, x - 2*x - 395 = 4*s. Let g = 177 + s. Let u be (-1)\/(-4) - g\/(-28). Solve 0 = -3*r + u*i + 6, -7 - 1 = -4*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -74*k**3 - k**2 + 2*k + 3. Is w(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7712 times 65\nAnswer: 375.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = -4*g + 28, 18 = -2*c + 5*g. Suppose 0 = -128*b + 103*b + 100. Let w be 3 + (b + c - -4). Solve -w*v - 3 = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1618 - 1620. Let d(m) = 18*m**2 - 2*m + 1. Let u(c) = 54*c**2 - 7*c + 4. Determine n*u(k) + 7*d(k).\nAnswer: 18*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 11*d. Let p = d - -1\/3. Which is greater: -2\/27 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450555*w**5 - 337156*w**2 wrt w.\nAnswer: 27033300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g + 48 = 2*q, -g = 0. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**4 + 18*l**3 + 10*l**2 - 72*l + 55. Let h(x) = -2*x**4 - 12*x**3 - 7*x**2 + 48*x - 37. Let u(z) = -7*h(z) - 5*n(z). Determine g so that u(g) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 - -57?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*s - 7*c**2 + c*s + 28*c - 4*s - 38 with respect to c.\nAnswer: 2*c*s - 14*c + s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojtooooioroo. What is prob of picking 1 j and 1 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92*110\/(-8)*(-87)\/145. Solve -764*y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -1334?\nAnswer: 15\/1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.19976.\nAnswer: -0.19976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.193 + 2.08. What is a rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -261669005*v - 492533479?\nAnswer: -261669005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + 61. Suppose 0 = -o*b + 77*b - 111200. What is b rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -4, 0.1, 2\/173, -10?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*n - 2*n = 4, -3*g - 5*n = -29. Suppose -2*h = g*h - 2*v - 65, 52 = 4*h + 2*v. Calculate the remainder when 23 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/30 + i**2. Let z(u) = -887 + 887 - 7*u. Determine g(z(b)).\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = -2*b, 4*b - s = 9. Let x be 68\/(-3)*(-3)\/b. What is the highest common divisor of 51 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-16 - -9) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2*d - 2)*(13*d - 7*d - 5*d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.012 + -44.012. Let h = -39 - z. Let k = -55 + 219\/4. Which is the nearest to 0? (a) k (b) -2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 4*g**2 + 20*g + 74. What is u(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-504)\/35)\/((-6)\/(-20)). Is 22 a factor of 33\/(-2)*l\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182 (base 13) to base 6\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3886)\/(-469) + -7 + -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.314 + -89.686. Let b = g - -120.4. What is b rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/16, 0.4, 6, -1\/6 in increasing order.\nAnswer: -1\/6, 3\/16, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -9, -34, -89, -180, -313, -494, -729?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 40 = -4*u, -5*u + 2*y + 78 = 4*y. Suppose -1786*t + 1777*t = -2520. What is the highest common factor of t and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 638723800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*b - 4209*b + 666*b.\nAnswer: -4219*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-33)\/(-30))\/((-15)\/85) and 49\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - -4)\/((-1)\/2))\/(-2). Let k(i) = -i**2 - 4*i - 1. Let d = 3 + -6. Let c be k(d). What is the highest common factor of c and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 105, 5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 886*m**2 + 276*m**2 + 5*m**3 - 5*m - 1105 + 476*m**2 - 533*m**2 = 0.\nAnswer: -221, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 18. Let i(m) = 5*m + 71. Let n(d) = -i(d) - 4*j(d). Let r be 11\/4 - (-4)\/16. Suppose -5*o = 2*a + 3, 0 = -r*a + 4*a + 4*o. Determine n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2098 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54777359.1 plus 1?\nAnswer: 54777360.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.93 + -11.13. What is the closest to p in -0.04, -0.2, -3\/4, 0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 39118771056923?\nAnswer: -39118771056923.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4535566, 4535565, 4535564?\n\"Answer: -p + 4535567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/3 - 57710*a**3\/3 + 277460051*a**2 + 6661811560*a\/3 + 13325470096\/3 = 0.\nAnswer: -4, 28859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25310 (base 6) to base 3.\nAnswer: 12012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let f(y) = y**2 - 8*y - 3. Let t be f(7). Let n = 14 + t. Which is the third biggest value? (a) n (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -7 - (-9 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9811114762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -4. Let d = 16 - y. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*p + 869*p + 66*p + 24768 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:50 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 4*n, 0 = -2*x + n + 5953. List the prime factors of x.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 3332 = 122*g + 51*g. Let x(n) = -n**3 - 16*n**2 + 13*n - 64. Calculate x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ff9 (base 16) to base 3.\nAnswer: -121211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 13) to base 11.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 36*g + 11. Calculate u(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/283 - -34399\/3396. Let z be (182067\/6)\/(5*1194). Let k = -1\/1990 - z. Find the common denominator of k and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + -2 + 1. Let l(t) = t**3 + 7*t**2 + 5*t + 1. Let a be l(-6). Let f = -7 + a. Sort n, f, 4 in descending order.\nAnswer: 4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000101 - -1010001010001?\nAnswer: 1000101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*s. Calculate the remainder when (-51)\/(-2) + (-1)\/s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 505\/45 + -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-31)*i\/i**(-4\/5) assuming i is positive.\nAnswer: i**(169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 13*o**2 + 10*o - 20. Let p be r(-12). Let x be p + 1\/((-2 - -1)*1). Solve x*q = 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1254, -2493, -3742, -5007, -6294, -7609?\nAnswer: -8958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50780.\nAnswer: 2, 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1701617, -3403239, -5104861, -6806483?\n\"Answer: -1701622*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 12) to base 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + 0*f**5 - 4*f**5 + 126*f**3 - 126*f**3 - 111*f**5 + (f**5 - 3*f**5 - f**5)*(-1 - 3 + 0).\nAnswer: -100*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -614, -1368, -2402, -3704, -5262?\nAnswer: -7064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8664 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + 18. Let y(u) = 4*u**2 - 6*u - 4. Let c be (34\/3)\/((-2)\/(-3)). Let j(z) = 11*z**2 - 18*z - 12. Let p(r) = c*y(r) + k*j(r). Factor p(a).\nAnswer: 2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181673546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-13 + 2 - (25 + -27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/6 - 2*r - 67. Suppose -2*y + 5*y = 12, 26 = 3*q + 5*y. Let s(t) = 2 + 7*t - q. What is p(s(i))?\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.5 - 13. Let g = -243 + 238. Which is the fourth biggest value? (a) g (b) 4 (c) -1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 + 2*h - 7. Let g(r) = r - 2. Let x be g(8). Let w be q(x). Let u = w - -11. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 2, -5\/3, 0.1721?\nAnswer: 0.1721","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/9 - 352*m**3\/9 + 464024*m**2\/9 + 1860256*m\/9 + 206848 = 0?\nAnswer: -576, -2, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**3\/3 + 11*z**2\/2 - 9*z - 71. Give v(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7) + -7 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 19*n + 16. Let t(y) = 296*y. Determine j(t(o)).\nAnswer: 5624*o + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + 22*y**2 - 28*y + 54. What is n(5)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.0858552 rounded to 1 dp?\nAnswer: -79.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 4*l - 5*l)*(-8 + 5 - 9)*(-134 - 17 - 167)*(-4*l + l + 4*l) to the form y*l**2 + x + i*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -243*j**2 + 1046*j**2 + 36*j**3 + 2896*j**6 - 36*j**3 wrt j?\nAnswer: 347520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -70 - j - 7*j**2 - 6*j**2 + j + 8*j**2. Let x(p) = 17*p**2. Give r(x(t)).\nAnswer: -170*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((2\/(-1))\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151.6 - -151.603154. Round k to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u + 44*u - 21*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(7) - -4*sqrt(7)) + sqrt(84)\/sqrt(588))*-5.\nAnswer: -180*sqrt(7)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/8, 110, -1, 30, -1\/2 in increasing order.\nAnswer: -2, -1, -1\/2, 1\/8, 30, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 6*f**3 + 6*f - 4. Differentiate q(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909000 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccuae. Give prob of sequence ca.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 - 4*l + 4*l + (6 - 7 + 3)*(3*l - 3*l + 2*l**2) as m*l + f*l**2 + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 265*u - 87. Let m(k) = -2*k + 2. Let n(g) = 2*j(g) - 18*m(g). Find the first derivative of n(v) wrt v.\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (sqrt(117) + sqrt(117)*5))*4)\/(sqrt(576)*-3))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338381 or 338378?\nAnswer: 338378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(2*sqrt(36)) + -1 + -2 + (sqrt(28)\/sqrt(4))**2.\nAnswer: sqrt(7)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*h + 5*n, 3*n = 4*h + 5*n + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8576.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565*z - 686 = 1467*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*r**2 - 55*r**2 + r + 3*r.\nAnswer: -120*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 - 2*s - 4. Let q be k(4). Suppose 0*p - q*p + f + 6 = 0, 3*f = 4*p - 10. Do 0.2 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 18*f - 20. Let k(i) = 41*i + 8 - 12 - 42*i. Let j(q) = -5*k(q) + z(q). Let u(t) = -4*t**2. Determine j(u(r)).\nAnswer: -92*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 4) to base 6.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223.7 - -223.7. Which is the fourth smallest value? (a) 5 (b) 0.09 (c) q (d) 0.4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 309 + -116. Suppose -5 - r = -2*c. Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52224281.\nAnswer: 52224281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 99?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11067 (b) -3\/5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*((-60)\/175)\/((-6)\/(-15)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*-2*((2*sqrt(272) + sqrt(272))*1 - sqrt(272))*2)**2*2 + -1.\nAnswer: 4351999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (2*sqrt(84) - sqrt(84) - sqrt(84))*-1)\/(sqrt(4) - 2*sqrt(16)\/sqrt(4)))\/((sqrt(448) - (sqrt(448)*-2 + sqrt(448)))\/(sqrt(36)*1)).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77, -423, -1511, -3187?\n\"Answer: -294*b**2 + 382*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*f - 156, -2*z + 0*z = -4*f + 48. Let l = 21 - z. What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:40 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/12 and 31\/1572.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 14 = 40. Solve -d*t + 2 = -7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (22 + -23) - -4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.7239 centimeters to meters.\nAnswer: 9.987239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 252 = 6*h. List the prime factors of h + (-7)\/(28\/8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6527002366 + -0.6527. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*u - 37*u - 90. Suppose 6 = 2*z + z. Solve -s + u = z*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 15*n + 10. Let q(m) = m + 1. Suppose 2*t - 3*v + 18 = 0, -53*v + 51*v - 4 = 4*t. Give t*p(j) + 30*q(j).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o. Let f(i) = -i**3 + 4*i**2 + 12*i - 26. Let l(t) = f(t) - 4*s(t). What is the derivative of l(j) wrt j?\nAnswer: -3*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(5 + sqrt(1620) + (1*sqrt(1620))**2*-6 + sqrt(1620) + (sqrt(1620) - (2 + (sqrt(1620) + -2)**2)) + 5).\nAnswer: -181376 + 2016*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + c**2 - c**2 - 2*c**4 - c**4 + 2*c**4 + (-2*c**3 + 3 - 3)*(-c + 1 - 1) + (3 - 1 - 3)*(0 - 1 + 0)*(15*c**3 - 15*c**3 - 5*c**4).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11732*f**4 + 11735*f**4 + f**3 - 168*f**2 + 59*f**2 + 3 to the form a*f**3 + o*f + k + g*f**4 + u*f**2 and give u.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3607371, 2, -3\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-47)\/7 - -5)\/((-2)\/(-14)). Let u be 17 + x - (0 - -1). Solve -u*y + 4*h = -4 - 0, -31 = 5*y + 4*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -3*k**2\/2 - 3*k - 3. Let a be h(-3). Let l be 9200\/a*150*3. What is l rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 36516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9121095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20217*s + 20181*s = 40638*s - 11040 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72305152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2172708342?\nAnswer: 2, 3, 7, 17243717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 25. Suppose -3*w + 41 = -4*x - 3, v = -5*x. Let g = 14 - w. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210 + 131. List the prime factors of z.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g - 15 - 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-56)\/20)*(88\/(-20))\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 4*n + 2. Let a be h(2). Let t = 15 + -11. Suppose a*m - t = 12. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -8. Let h = u - -6. Let t = -3728 - -3727.5. Which is the biggest value? (a) h (b) -0.05 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 194.9557g?\nAnswer: 194955700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 - 42 + 22 + 2*l**2 + 22 + 2*l**4 to a + k*l + v*l**3 + w*l**2 + t*l**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -24890077?\nAnswer: -2\/24890077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by 3.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5404, -21437, -48130, -85477, -133472, -192109, -261382, -341285?\nAnswer: -431812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 1, -7, -19, -35, -55, -79?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 470438\nAnswer: -5\/470438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*w**6 + 58*w**3 - 9635*w**2 wrt w.\nAnswer: -1560*w**3 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 + 25)*1\/2. Is w*9\/126 - 34114\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90110719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*m**3 + 71*m**3 + 57*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, j: 1, z: 2, o: 1}. What is prob of sequence bozj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5322943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231706458*r**2 + 73301764*r + 3.\nAnswer: 463412916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 458*0.053\nAnswer: 24.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 62, 130, 224, 344, 490, 662?\n\"Answer: 13*i**2 + 3*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2009? (a) 13\/6 (b) 0 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3795033.52 rounded to the nearest 10000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 + -0.61. Let r be -1 + (0 - -1) + 0. Which is the closest to r? (a) -5 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by 3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 664400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 8*q**2 - 71*q + 212. Give d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 + 5*b**3\/3 - 3*b**2 + 1. Let t be j(-5). Suppose 0 = 4*o - t - 6. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 494 + -600 + (-3 - (-4 - 4)) - (-3 + -4)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1427646, -2855364, -4283062, -5710734, -7138374, -8565976?\nAnswer: -9993534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 3246.\nAnswer: 25968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*y + 78 = -47*y. Let q be (7 + -8)\/(1\/3). Let u = 0 + -1. Put u, y, q in descending order.\nAnswer: y, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -7*c + 477. List the prime factors of c.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2256149*r**4 - 1130212 wrt r?\nAnswer: -9024596*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let c(u) = -2 + 2*u - 4*u**3 - u - 3 + 3*u**3 - u**2. Determine c(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 6:46 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g*g*g**(1\/8))\/((g\/g**(1\/4))\/g*g\/(g\/((g*g\/(g\/g**(1\/11)))\/g*g))))**(-2\/73) assuming g is positive.\nAnswer: g**(63\/3212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 56*p - 5*p**2 + 2*p**3 + 1 - 28*p - 25*p. What is the remainder when t(3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 259*t**2 - 301 wrt t.\nAnswer: 518*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/5137 and -67\/124915962?\nAnswer: 1374075582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.086308 years to months.\nAnswer: 109.035696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/676? (a) -1.1 (b) -4\/5 (c) -0.032 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 - 104*x - 212. Let u be a(-2). Solve u = -2*g - 4*z, -5*z - 4 - 14 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1036\/13 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 4*m + 2, -4*p - 5*m + 8 = 0. Suppose -3 = -2*b - n + 5, -2*n = -5*b + p. Suppose 4*c - b*c = -774. What is c rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 2405*t**3 + 516*t**3 - 4*t**2 + 2*t**2.\nAnswer: 2921*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6550 - -6549.8. Let o = 0.5 - 0.1. Which is the closest to 0.3? (a) o (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r)\/r*r**(-2)\/r*(r*r**1)**(5\/7))\/((r**1)**(3\/10)\/(r**(1\/3)*r)**29) assuming r is positive.\nAnswer: r**(8987\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from ppgppipgggggpipppig?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 872570620*p**4 - 2122617*p**2 + 52*p - 1?\nAnswer: 20941694880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*d - 2. Let v be -3 + 2 + (d - 0). Suppose 2*n + 101 - 311 = v*o, 3*n - 303 = 2*o. Calculate the remainder when n is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 12. Suppose -2*d + 6 = 2*u + 2*u, 0 = -5*d - u + 33. Let s be 99\/21 - (-2)\/d. Let t be k(s). What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/12))**(18\/11))**(-1\/4))**(-37) assuming z is positive.\nAnswer: z**(111\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 - 93 = 42*z - 181. Solve 19 + z = -12*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f + 58*f - 324 = 107*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217834000?\nAnswer: 2, 5, 53, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 124, 165, 192, 205, 204, 189?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 11:58 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 4. Let d be u(0). Let y(m) be the first derivative of -3 + 3\/4*m**d + 0*m + m**2 + 0*m**3. Find the second derivative of y(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -683 - -692. Suppose -5400 = -o*y + 5517. What are the prime factors of y?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:24 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 at most as big as -2501\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 246, 244, 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -197*b + 66. Let x be s(2). Let r = 880 + x. What are the prime factors of r?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -1503?\nAnswer: 1503.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-30))\/(65\/6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:40 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.69, 2, 8, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(3*(sqrt(117) - (sqrt(117) + 2*sqrt(117))) - 2*(sqrt(117) + 2*sqrt(117) + sqrt(117)))\/((1*sqrt(54)*1)\/sqrt(6)).\nAnswer: -84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 - -209. Let i = c + 83. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 842, 839, 832, 821, 806?\n\"Answer: -2*w**2 + 3*w + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59.8 - 60.828. What is r rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*q = -0*q + 23, 5*u + q = -10. Let g(c) = -24502*c**2. Let j be g(u). Let k be j\/(-7) + (-4)\/14. What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045264887.\nAnswer: 199, 10277713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ystv when four letters picked without replacement from ussvvsvysoutsuusvsv?\nAnswer: 35\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.47469 hours in weeks?\nAnswer: 4.59211125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2) + (4*8\/(-128))\/(29\/684).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 16*z**2 - 103*z**3 + 224*z**3 - 8*z + 4*z - 114*z**3 as w + f*z + y*z**3 + p*z**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:38 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 99 = -2*v. Let h be (1029\/14)\/(6\/v). Calculate the highest common factor of 49 and h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 36.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -1.49.\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1263\/20 - 63. Let g be (-6)\/40*546\/54. Let s = j - g. Put s, 8, 1\/4 in decreasing order.\nAnswer: 8, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54296 is divided by 1619?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = u, u - 7*p + 10 = -2*p. Differentiate 65*g - 65*g - 28 + u*g**4 with respect to g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*y + 4734 = 2622 - 3883 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - 6075803?\nAnswer: -6075747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-775)\/62 + 820\/(-40).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29428926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - n + 3*n + 2, b - 3*n + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*b = 24, -6*g + 5*b - 25 = -10*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -17. Let d(z) = 2*z**3 + z + 1. Let r(h) = -11*h**3 + 4*h**2 + 2*h - 4. Let p(g) = -5*d(g) - r(g). Give p(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21788)\/(-8) + (-2)\/(-4). Suppose 404 = -5*g + h. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 7*r**3 + 5*r**3 + 2*r**3 + 0*r**2 + 0*r**2 + (4*r + r - 6*r)*(r**2 + 3 - 3) + 2*r**3 - 4*r**3 + 0*r**3 + 0*r**3 + 3*r**3 + 3*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 at most 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwnnnwwn. Give prob of sequence nnww.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -20, 589*f - 592*f - 2*r + 22 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.5863198 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = o + 3*k + k, 5*o = -3*k + 443. Let l(c) = 10*c**2 + 4*c + 5. Let f be l(-1). What is the highest common divisor of o and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s - 6. Calculate b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.5 (b) -14.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, k: 5, u: 2}. What is prob of sequence kuuz?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 - 12\/(-7). Suppose 395 = a*d - 1. Let o = 25 + -7. What is the highest common divisor of d and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31*50\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 7:38 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/70*1750\/1575\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 384843 (base 10) to base 9\nAnswer: 645813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -3 - (-19 + 7). Suppose c*t = 18*t. Suppose t*g = 5*o - g - 7, 2*g = -o + 8. Solve 3*d + 5*l = -d, -o*l = -8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388554 is divided by 3847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/3 + b. Let m(a) = 20*a**2 - 6*a**2 - 3*a**2 - 6*a**2 - 4*a**2. Give g(m(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) -0.2 (d) -5 (e) 0 (f) 27728\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*l + 3*v = -148*l + 499, -5*v + 625 = -5*l. Put 3, 0, l in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 21, -10, -63, -144?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.75 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.02 + -0.02. Let f = -5.89 + d. Let w = 1.11 - f. Is 0.01 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, b: 2}. What is prob of sequence bt?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26042 (base 7) in base 4?\nAnswer: -1223222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.9956 - 0.0556. Let q = f + -8. Which is the smallest value? (a) 0.1 (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*u + 51251, 34979 = 2*u + 4*p - 16227. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26603838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 3*k + (-3 + 1 + 0)*(5 - 5 - 2*k))*(2468*k + 1910*k - 287*k - 1143*k + 5095*k) to the form q + l*k + o*k**2 and give o.\nAnswer: 56301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 106*r + 71. Let x be z(-35). What is the greatest common factor of x and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q - 1. Let o(b) = 7*b**2 - 17*b + 19. Let u(p) = -6*m(p) - o(p). Let v be u(9). Let s = 44 - v. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/((-16)\/40) + 2050\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 292*t + 13430. What is c(-46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0.2, 0.4 in decreasing order.\nAnswer: 9, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 1\/5, 2\/9, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*t**2 - 5 - 175*t**2 - 174*t**2 + 518*t**2.\nAnswer: t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160557 divided by 3?\nAnswer: 53519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f - 3. Let l be q(3). Let r(a) = -4*a + 7. Let k be r(l). Let n(x) = x**3 + 5*x**2 + 2*x + 7. Give n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2438656, -2438652, -2438648, -2438644?\n\"Answer: 4*n - 2438660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = f - 18, 21*t - 2*f = 26*t - 44 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.048 - 0.0480047. Round t to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2551 + -894. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.96 + 9.05. Which is the closest to x? (a) 1 (b) 5\/3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/(-735)*(0 - (-1)\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2600 divided by -325\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -232351920 divided by 510\nAnswer: -455592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 7*u + 4. Let z be r(4). Let f = z + 2. Let p be -2 - f\/(-6) - -1. Which is the biggest value? (a) 0.3 (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z + 564 = 0. Suppose -n + z = 2*n. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 2a0b84?\nAnswer: 2a0b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((-3*(2 + sqrt(539)))**2 + sqrt(539) + sqrt(539) + sqrt(539) + ((-1*(sqrt(539) - sqrt(539)*-2) + sqrt(539))**2 - sqrt(539))).\nAnswer: -28172 - 1064*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 252934 = -a, -5*a = -12*v + 9*v + 379401. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2481, -2492, -2519, -2568, -2645, -2756, -2907, -3104?\nAnswer: -3353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) + 10\/45. Suppose 3*q + z*q + 3 = -3*b, -3 = b + 2*q. Which is smaller: -1\/22 or b?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 146 = 4*o - o, -114 = -3*o - 3*n. Find the common denominator of (-838)\/140 + 12\/o and -37\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:19 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1, 409833 in increasing order.\nAnswer: -29, -1, 409833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7666471?\nAnswer: 227, 33773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/(i\/i**(2\/71)))))\/(i*i\/(i\/(i\/(i\/((i**(3\/5)\/i)\/i))))))**(9\/7))**4 assuming i is positive.\nAnswer: i**(5472\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -5, 258, 1.\nAnswer: -5, -4, -1, 1, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62913 - 10142. Let w = -34771 + t. What is w rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -2 - (-1 + -3 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3786 - 3789. Suppose 0*t + 21 = 5*u - t, u - 3*t = 7. Sort u, c, -7 in ascending order.\nAnswer: -7, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 + v**2 + 1 + 11 + v - 8*v**3. Let p be t(0). Suppose -3*o - 4 = 2*u - 20, -p = -4*u - o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/10285 (c) -0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 - 22*j + 4. Calculate o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdtdttscssttcct. Give prob of sequence stc.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 5. Let n be t(0). Solve -3*y - 6 = -n*w, -2 = w - 0*w + y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*c - 6*c**3 - 279*c.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 171?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-13408)\/(-432) - 1345\/135.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29000, -2\/5, -0.3, 0.5, 4.\nAnswer: -2\/5, -0.3, 0.5, 4, 29000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 9563497*h**4 + 254 - 9563518*h**4 - 2*h**2 as a*h**2 + d*h + i*h**4 + g + x*h**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 1\/40*x**6 - 8*x + 0*x**2 - 3\/20*x**5 - 1\/4*x**3 + 5 + 5\/16*x**4. Let w(p) be the first derivative of m(p). Factor w(a).\nAnswer: 3*a*(a - 2)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -2116907481?\nAnswer: 2116907489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t + 3*t)*(6 + 4 - 5).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, -4, -3, 244, 4 in decreasing order.\nAnswer: 244, 5, 4, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 4311241?\nAnswer: -4311244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23020433 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2879*z - 95264 - 47705 + 4777 = 0 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 1767a?\nAnswer: 1767c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20225.\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.058, 3, 5, 2, 0.0425, 6\/5 in decreasing order.\nAnswer: 5, 3, 2, 6\/5, 0.058, 0.0425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88483 times 2?\nAnswer: 176966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*n - 189. Let u = 2 + -1. Let q be (u*-3)\/(4\/(-4)). Calculate the greatest common divisor of q and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*l - 3*a, -4*a + 30 = -2*l - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 28 = -5*w, 5*w - 16 = -0*q + 2*q. Sort -5, -3, w, 16 in increasing order.\nAnswer: -5, -3, w, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1 - (1 + -1)). Suppose -4*o - 13 = -r*c, -2 + 0 = -4*o - 2*c. Is (335\/(-10))\/(o\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129980111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 66*n + 186. Calculate the remainder when q(-25) is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Let g = 3 + -4. Sort g, -4, r in descending order.\nAnswer: g, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(6)\/(1*sqrt(200)))**2.\nAnswer: -197\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 253*c**5\/15 - 43*c**4\/24 + 19*c**3\/3 - 1435*c**2. What is the second derivative of f(b) wrt b?\nAnswer: 2024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(25*b - 3*b + b) + (3*b - 2*b - 3*b)*(-1 - 2 + 2) + (-6 + 0 + 8)*(2*b - 8*b + b).\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 2. Let p be a(3). Let y(w) = w**3 - 8*w**2 + 3*w - 9. Let f be y(p). Let l be ((-4)\/35)\/((-6)\/f). Are l and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 6*x + 861. Let p be (-4)\/(12\/x) + 4. Let n = -909 - p. What is n rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*5530\/24332?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, 0.3, -105, -0.5, 0.1?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-298)\/(-745)*3\/((-6)\/(-122875)).\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 248*n - 2244.\nAnswer: -4*(n + 11)*(n + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/24 + 3*f**3\/2 + 15*f**2. Calculate the remainder when m(11) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = 4. Suppose 0 = 2*y - 3 - g. Suppose -y*v - 2*v + 20 = 0. Solve 0 = 3*r + 2*r - v*o + 10, 0 = r - 5*o + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30747291.5996 and -0.4?\nAnswer: 30747291.9996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8168 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: What is -2 (base 6) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-179)\/(-6086)*44\/22?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/2 - 39857435*n**2\/2 + 198576960347896*n - 1390037745928286 = 0.\nAnswer: 7, 19928714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, 70163, 28.\nAnswer: 1, 2, 5, 28, 70163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**9\/1512 + k**8\/420 - k**7\/420 - k**3\/2 + k**2. Let b(q) be the first derivative of s(q). Solve b(h) = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 22*w - 9. What is c(5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -51*((-15)\/(-9))\/(-5). Let n = 30 - 11. Let j = n - g. Solve 4*o - j*y = 10, 0*y + y = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*y**3 - 216*y**3 + 3*y + 55*y**3 + 72*y**3 + 3*y**2 as m*y + s*y**3 + d + q*y**2 and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 3. Calculate l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v - 174. Determine q(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxfr when four letters picked without replacement from {s: 1, r: 1, f: 1, l: 2, x: 2, o: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 - 96\/(-20) - 4\/5. Solve -z = -22*a + 25*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n + 86 = 15*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 8790\/810 + 30?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-84336)\/(-147) - (16\/(-7) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99) + -5)**2 + ((sqrt(99) + 0 + sqrt(99) - sqrt(99)) + 2)**2 - (3 + 3*sqrt(176) + 2)**2)*4.\nAnswer: -5528 - 312*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -74. Solve 7 + o = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.168, -6, -4 in increasing order.\nAnswer: -6, -4, 0.168, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {u: 3, m: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 16*b**2 + 2*b - 24. Let u be t(-16). Let s = 84 + u. What is the remainder when 51 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 = 41*x - 60*x. Suppose 4*t = x*t - 2520. Does 53 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/12 + 19*l**4\/6 - 14*l**3 - 3*l**2 + 185*l. Factor r(d).\nAnswer: -(d - 14)*(5*d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = -l - 30, -3*t = 15. What is the lowest common multiple of l and (-110)\/(-55) + (0 + 0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19299758 is divided by 19299734.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -82064, -1\/3, -1, -5, 2\/257 in decreasing order.\nAnswer: 5, 2\/257, -1\/3, -1, -5, -82064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.865504m to micrometers.\nAnswer: 7865504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -142 - -142. Let g(x) be the second derivative of -1\/3*x**4 + 3*x - 3*x**2 + a + 0*x**3. Differentiate g(t) with respect to t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 6*(-4*sqrt(76) - sqrt(76)))\/(sqrt(160)\/sqrt(10)).\nAnswer: -29*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 77*c - 7. Let k(u) = -115*u + 10. What is -5*k(s) - 7*l(s)?\nAnswer: 36*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12870937 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + sqrt(512) + (sqrt(512)*-3 - sqrt(512)))\/(sqrt(500)\/sqrt(5)) + -1.\nAnswer: -16*sqrt(2)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -25. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 3. Let u be p(5). Suppose -34 = -u*x - 0. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 7*h**2 + 7*h - 4. Suppose 5*j + 5*q = -35, -3 = -j + q - 0*q. Let a be 7 - (9\/3 + j). Let x be c(a). Solve 0 = w - 2 - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408700 is divided by 3957.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((440\/(-33))\/(-20))\/(8\/13884)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 34. Let l(f) = -f**2 - 5*f - 2. Let v be l(-3). Solve -2*x - y = j, v*j - 2*x = -5*x - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35030002 + 22?\nAnswer: 35030024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 218 - 67 = 0. Solve 10 = -5*b + i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 200 = -0*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 + 11*s + 18. Let t be l(-6). Let p(g) = -30*g - 345. Let a be p(t). Calculate the highest common divisor of a and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.13 - -0.36. Let y = -563.5 + 563.73015. Let t = y - w. What is t rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let u = 14 - 12. Let n be 9\/((-2)\/((-4)\/u)). Solve n*p = i*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t - 3*g - 840, 3*t = 3*g - 2556. Let o be 2*(-4 - t\/(-18)). Let w = 104 + o. Put w, 2, 0.1 in increasing order.\nAnswer: 0.1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 2, r: 1, a: 1, l: 1, x: 1}. Give prob of picking 2 k and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = -45*i - 2*i. Is -11 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/85)*b*b**(-9))\/(((b**(2\/3)*b)\/b)\/b)**(2\/49) assuming b is positive.\nAnswer: b**(-100084\/12495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t. Suppose t = 4*a + 3 - 11. Solve 5 = -3*y + a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 40, 82, 124, 166, 208?\n\"Answer: 42*k - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404169 is divided by 138?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*i = 138*i + 264. What is the third derivative of 66 - i - 6*l**2 + 16*l**5 wrt l?\nAnswer: 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*h - 2 + 60*h + 2 in the form s + u*h and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - (-4430)\/1540. Let i = 1\/238 + -2867\/2618. Let y = i + r. Which is the smallest value? (a) y (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1201 or -1198?\nAnswer: -1201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*(-2)\/(-32) + (14 - 10 - 2).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 4:35 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1882 + 2781. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4037595770 + -0.5.\nAnswer: 4037595769.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 - y**2 - 4*y + 3. Let p be r(1). Suppose 0*z = 3*z. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 9 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 57*g**2. Let s(o) be the first derivative of 2*o**3\/3 - 37. Determine y(s(u)).\nAnswer: 228*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 2, v: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -3 + 0*u - 3\/2*u**2 + u**3. Determine v, given that r(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/13 + 120*q**2\/13 + 2400*q\/13 + 16000\/13 = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uub when three letters picked without replacement from {o: 2, b: 3, u: 4, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56469074*o**2 - 25979878*o**2 + 83143878*o**2 - 3.\nAnswer: 113633074*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.9. Let o = 1\/3263 + 74949\/326300. Let b = o - 12\/25. Sort b, c, 5.\nAnswer: b, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a8 (base 15) in base 2?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 6*l - 2. Suppose v - 8*v = -28. Suppose 0 = -3*f + v*f - 1. Let k(z) = z. What is f*h(o) + 5*k(o)?\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 1316790*p - 86696795205.\nAnswer: -5*(p + 131679)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 150. Let x(i) = -22*i - 452. Let y(n) = -11*j(n) - 4*x(n). Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*b + 8, -2*s - 2*s = 4*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/448)\/((-6)\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2 + 168549*q + 2426259?\nAnswer: 4*q + 168549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359210 to the power of 1\/2, to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 304436916 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g - 16. Let v = -37.9 + 38.1. Let x = -1 + 1. What is the closest to x in -0.3, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 30*c**2 + 55*c + 46. Determine j(28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1089 in 4, 3\/2, 139?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 25 - 5 - 14 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004812 rounded to 6 decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 0.4 (b) 1\/2 (c) -3\/5 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-5)*150\/90. Factor 0*m - 8\/9 + 2\/9*m**l.\nAnswer: 2*(m - 2)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752607?\nAnswer: 3, 17, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-6))\/((-93)\/837))\/(2\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -3 (c) -0.0676213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22792177?\nAnswer: 107, 293, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -36.2. Let y = -3.2 + t. Let q = -24 + 17. What is the nearest to 0 in 0.1, q, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 113550*y + 5372334375.\nAnswer: 3*(y + 94625)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 117*h - 1547. Let g be x(12). Let v = -0.37 - -0.07. Let j = 0.4 + 1.6. Which is the closest to g? (a) 0.01 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29\/57 - -3\/19. Suppose 4\/9*s**3 - 2\/9*s**4 - m - 4\/9*s + 8\/9*s**2 = 0. Calculate s.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.07 - 18. Is q smaller than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 + 163*o**3*x**2 + 4*o*x**2 - 2*o*x + 2*x**2 wrt o?\nAnswer: -24*o**2 + 978*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96036 and 1060?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-4)\/2))\/(950\/(-5130))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -748*s**3 + 1873. Let x(v) = -752*v**3 + 1873. Let n(k) = -6*h(k) + 5*x(k). What is the derivative of n(u) wrt u?\nAnswer: 2184*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 10*a**2 - 10*a - 10. Give y(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 1527 = -1352. Let b(x) = -x - 11. Let h be b(-15). Suppose 0 = -t + 4 - 1, 21 = 2*q + t. Solve h*r + u = q*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 165*c**2. Let w(r) = 50*r**2 + r. Determine w(x(m)).\nAnswer: 1361250*m**4 + 165*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*l + 637*l = 3220 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.439 + -61.439. Which is the smallest value? (a) 13 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -583, -747, -981, -1309?\nAnswer: -1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6237490?\nAnswer: 2, 5, 7, 89107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 20*c**2 + 1. Suppose 2*x - 8 = 0, -3*h + 80 = -8*h - 5*x. Let v be p(h). Is (15 - -503) + (v - (0 + -2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7357.416 millimeters to meters.\nAnswer: 7.357416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Let o(t) = -4*t**3 - 6*t + 1. Let u(y) = -3*y**3 - y**2 - 5*y. Let p(j) = 4*o(j) - 5*u(j). Calculate the smallest common multiple of p(g) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -14, -16, -4, -5, -110 in increasing order.\nAnswer: -110, -16, -14, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5032)\/(-2590) + (-8)\/7 - (-2 + 0).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1831945728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4 - 12 = 0. Solve 5*c - h = -12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-7))\/(3\/(-63)). Let a be (-1)\/(-4) - 99\/o. Factor -3\/5*t**2 + a*t - 3\/5*t**3 - 9\/5.\nAnswer: -3*(t - 1)**2*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 6*g - 5. Let p be y(-2). Solve -p*d = -4*h + 22, 18 = -6*d + 3*d + 3*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3939257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*-118.706.\nAnswer: -8784.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 17*u**3 - 113*u**3)*(3 - 3 - 2*u + (0*u + 0*u + u)*(0 - 1 + 2) - 2*u + 5 - 5).\nAnswer: 390*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 9:39 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. Suppose -m + 1 = -r, 0 = -0*r + 4*r + 2*m + 22. Which is the biggest value? (a) n (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 23. Let x be z(10). Let l(c) = c**3 - 9 + 9*c**2 - 22*c - c**2 + 10*c - x*c. List the prime factors of l(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -17*z + 8. Let m be (-2)\/(-2) + (2 - 8). Let t be r(m). Let o = 130 - t. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2849*b*u**2*y + 2*b*u - b - 20243*u**2 - 7*u*y + 21*u + 23099 wrt u.\nAnswer: -5698*b*y - 40486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/6 + 7\/(-3). Sort -1\/3, m, 0.04, -0.1.\nAnswer: -1\/3, -0.1, 0.04, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/sqrt(108) + (sqrt(55) - -1*sqrt(2695)))\/(sqrt(180)*-1 - sqrt(5) - sqrt(10)\/sqrt(2)*-1).\nAnswer: -25*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 26*n - 59. Calculate the remainder when s(8) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 8 = -41*j + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/2)\/7*-6. Solve -3*f = f + 16, a*f = -3*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/2 of a century?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1152 - 107?\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39*(-6)\/54)\/(3\/(-9)). Let d = 2501\/3 - 847. Is d greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 0*f**3 + f**5)*(-49 + 59 - 327 - 832).\nAnswer: -1149*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*y + 0 = 4, 2*p - 4*y = 24. Suppose -h - h = -3*x + p, 2*x - 8 = 0. Suppose 0 = 2*w - 4, 2*k + 4*w = -h*k + 3168. Round k to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28\/313 - -15897\/6260. Let d = -827874753141381409\/283458 + 2920625818087. Let z = d + 2\/20247. What is the common denominator of k and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3122, -3428, -3734, -4040, -4346?\nAnswer: -4652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:43 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + 1 - ((-1 - -15) + -15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(10)*-6 - sqrt(20)\/sqrt(50)))\/(2*sqrt(55)\/(sqrt(77)\/sqrt(7))*1).\nAnswer: 183*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - -1) - (-3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + -44?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*b - 1 - 13, -5*i = 4*b - 33. Suppose -j = -b*j + 6. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 25. Suppose q*j - 5*w = 65 + 28, 4*j = w + 105. Let a = 72 - j. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -479801.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*q**2 + 10*q**2 - 14*q**2 + (2*q + 0*q - q)*(-2 + 2 + q) to v + x*q + d*q**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + 3 + (-1 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13229408 and 66197.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240179230 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 30*p + 6. Let d(o) = o. Let j(n) = 44*d(n) - 2*y(n). Factor j(s).\nAnswer: -4*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20*o + 7. Let k(t) = t - 1. Let v be k(-5). Is m(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.519693ml?\nAnswer: 0.009519693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2692737772 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 28. Let m be o(-15). Let a = m - -40. Let c(k) = -4*k + 6. Let d(z) = z - 1. Calculate a*d(t) - c(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 0*p**2 + 20*p**3 - 23*p**2 - 5*p**2 + 4*p**4.\nAnswer: 4*p**2*(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -183*g**3 - 4760*g**2 - 41*g + 274. Give b(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmomooomoomuom. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -91. Suppose u = -r + 55. Suppose -r = -2*s + 17. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 5, 2, 2\/9, 0.0315?\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.75 - -1.54. Let k = j + -0.29. Sort -0.2, 0.8, k.\nAnswer: -0.2, 0.8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:36 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2912 and 4032.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102431, -102510, -102589, -102668?\nAnswer: -102747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 20*z**2 - 35*z + 196. Let h be q(-22). Put h, -4, 28, 0.2 in decreasing order.\nAnswer: 28, 0.2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 10*b**2 + 10*b + 15. Let y(u) = u**3 - 12*u**2 - 15*u + 20. Let q be y(13). What is the remainder when x(q) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.013 + 4.013. Let q = 5 + -1. Which is the nearest to q? (a) -4 (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4054, 4052, 4048, 4042?\n\"Answer: -y**2 + y + 4054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -74*g + 152 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**6\/15 - m**4\/6 - m. Suppose b(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 16*m + 72. Let f be x(-19). Suppose -11*v = 5*o - f*v - 324, -2*o = -4*v - 120. Solve 2 = -67*u + o*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (99\/2)\/((-6)\/(-8)). Suppose 55*m = 59*m - 4, -3*k + 2*m + 34 = 0. Suppose 0 = 14*y - k*y - r. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*i - 7. Calculate the remainder when 5 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 216, 3, 2 in ascending order.\nAnswer: 2, 3, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15872*g**5 - 9*g**4 + 4*g**3 + 95550110*g**2?\nAnswer: -952320*g**2 - 216*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3374?\nAnswer: -3374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (764\/(-16))\/((-1)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21462583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -b - 48, -m + 205 = -4*b - 2*m. Let r = b - -101. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -13, -3\/7, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 8*w - 2. Let u be s(-3). Suppose -u*f = -2*h + 40, 3*f + h = 2*f - 7. Let d = 11 + f. Solve -2 = d*a + 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-24)*(0 + 6 + 0). Solve -2*l + 9 = -y, u*y - y = -l + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 82*c + 5. Let p be q(-3). What is the units digit of p\/(-5) - (-7)\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11231943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3483 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.10308 and 1032242886.\nAnswer: 1032242886.10308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8388 + 8403. Calculate the least common multiple of o and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604*(-3)\/(5 - 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3, -4*u + 512*l - 508*l + 4 = 0. Let a be 18\/8 - 1\/4. Suppose n + a*n = 0. Solve -u*j + 0*j + 4 = n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8494 - -7723. Which is greater: -772 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-33) - (-84)\/22. Let k(f) = f**2 - 7*f + 4. Calculate k(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 10*a**2 - 11*a. Let f be p(-9). Suppose -c + 19 + f = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 194, 270, 328, 362, 366, 334, 260?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8311 + -8310.990021. Let t = m + -0.01. What is t rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -139, 1\/3, -0.5, 0.1, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2708 - -2708.05358. Let y = -0.063 - -0.01. Let l = n + y. What is l rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:08 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ac + 0?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times -0.3?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2776, -10916, -24414, -43270?\nAnswer: -67484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 13022032011011?\nAnswer: 13022032011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert d1 (base 15) to base 2.\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -240 - -244. What is the greatest common factor of 16 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-27)*5*(-12)\/(-50).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:51 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203331232030 - 2?\nAnswer: -203331232032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + l - 4*l)*(5 + 5 + 11)*(-1 + 1 + 2*l + 0*l + 0*l - l + (-3 + 5 + 0)*(-2*l - 2*l + 2*l)) to x + m*l + w*l**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -1157?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) -3 (c) -5\/3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -11.\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16200, -32285, -48380, -64491, -80624, -96785, -112980, -129215?\n\"Answer: -f**3 + f**2 - 16081*f - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*w - 209. Let g be (-1252)\/(-12) - 2\/(-3). Calculate the highest common factor of w and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - (-80)\/(-12). Let s be -4 + -3*20\/r. Suppose -3*q + 1 = 3*k - 47, -4*k + q = -59. Calculate the highest common factor of s and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 1 + 1 + (35 - 21 - 22)*(-3 + 3 - 2)*(-113*x - 31*x + 2*x) + 0*x - x + 0*x + (-1 - 1 + 1)*(-1 + 1 + 2*x) - 5*x + 3*x + x as d + v*x and give v.\nAnswer: -2275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = a + 7, -3*a + 2*u = 17. Let q = 5 + a. Let k be (q + -1 + 5)*2. Solve 0 = -4*j + k*y + 20, 0 = -2*j + 5*y + 19 - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-240)\/(-130) - 2\/(-13). Let b(n) = -1 + n**2 - n - n - 8*n**2 + 4*n**s. Let z(q) = 2*q**2 + q + 1. Calculate 3*b(p) + 5*z(p).\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 2*d + 10. Let l(h) = 14*h**2 + 97*h - 7. Let t be l(-7). Determine r(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -514 + 522 + 12*y**4 - 3*y**4 - y in the form x*y**4 + p*y + r + m*y**2 + v*y**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11\/(220\/(-30)))\/(2\/(-612)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(112) - -5*(-1 + sqrt(112) - sqrt(112)))*5 - 6*(sqrt(112) + 2)*6) + -1 + 5)**2.\nAnswer: 23064*sqrt(7) + 116281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169222 and 4812?\nAnswer: 1015332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/48 and -79\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655, -1316, -1977, -2638, -3299, -3960?\nAnswer: -4621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253 and 1.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o**2 + 5*o**3 - 94*o**2 + 3*o - 3*o + 65*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2123.3868 months?\nAnswer: 17.69489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 8*x**2 + 2*x - 6. Let i be f(8). Suppose 0 = -3*h + i + 14. Solve -h = -0*c + 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (78 - 16 + 36)*(-q - 1 + 1) - 5*q + 2*q + 5*q + 2*q - q - 3*q + (-3*q + 11*q + q)*(-4 + 2 + 3) in the form y*q + w and give y.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 306 + -204. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348989 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -87*p + 610. Calculate w(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 2)*(-5 + 3 + 1)*(1 - 3 + 3)*(-12 + 3*b - 2 + 19).\nAnswer: -15*b - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 9*z + 19. Let j be c(10). Suppose -3*f = -j*f + 24. Let o(u) = -u**3 - 3 + 0*u**3 + 6*u**2 - u - 4*u. Determine o(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34817566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4*(-608)\/19*1\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9866371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*t + 18, 2*t + 4*u = 3*t + 14. Suppose b - 3 = -t*b. Suppose 44 = 4*x - 4*j, 11 - b = -2*j. Solve 0 = 2*n + n + x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270*m - 2517*m + 581*m - 2778*m + (-5 + 1 + 2)*(-4*m + m + m) to the form b + q*m and give q.\nAnswer: -4440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 444713426 to the power of 1\/3, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 44 = -j. Let q = 254 + -252. Suppose j*c - q = 10*c. Sort c, -13, -1 in descending order.\nAnswer: c, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4938094 rounded to three decimal places?\nAnswer: -1.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 - 31860*j + 126882450 = 0.\nAnswer: 7965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -20*p - 7. Let c be o(-2). Let j = 33 - c. Suppose j = -4*y - y + 235. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182 - -181 - (-16 + -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -24339043*z**2 + 50*z - 7. Let m be o(1). What is m rounded to the nearest one hundred thousand?\nAnswer: -24300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from lnxnlnnxlnlnhnnnzl?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334836.\nAnswer: 2, 307, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 320.5 - 320. What is the second biggest value in x, -5, 4, 2\/19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -1212*z + 1219*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2.1. Let r = f - 2. Let g = -2405 + 2405.4. Which is the nearest to r? (a) -2\/7 (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10141 - -4?\nAnswer: -10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, 1, 5, -26 in decreasing order.\nAnswer: 5, 1, 0, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -126?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2*q**4 + 254*q - 129*q + 6*q**2 + 0*q**4 - 123*q to the form u*q**2 + y*q**3 + x + r*q + k*q**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 31924125.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Suppose 5*f - 8 = 3*f. Suppose 6*r - 2*r = f*i + 172, 0 = -2*r - 4*i + 80. What is the greatest common divisor of a and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 10 = 0. Suppose -2*g + 4 = -3*h, -5*h = -g - 27 + 43. Let y be h*(7\/(-12) + a\/(-3)). Solve 2*l - 12 = 2*b - y*b, -4*l - 5*b + 22 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.9594 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 351 + -359. Let a be (r - 768\/(-104))\/(-1). What is f in 12\/13*f**2 + 2\/13 + 8\/13*f + 2\/13*f**4 + a*f**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16565 (base 9) to base 2\nAnswer: -10110010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29610 divided by 58\nAnswer: 14805\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -22, h + 48*h + 11*h - y - 41 = 2*y + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 - 2*l + 1. Let d(w) = w**3 - 4*w**2 + 3*w - 1. Let j = -53 - -57. Calculate j*d(i) + 6*v(i).\nAnswer: -2*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -2 - -10*1. Suppose -i = -n + 3*u, -u - 17 = -3*n + 3. Suppose 5*c - 2*c = n. Is c bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 445 and 3111905?\nAnswer: 276959545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 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: Express 15 + i + 3*i + 0*i - 13 as t + s*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -156 - -3?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**3 + 7890*l**2 - 2631*l.\nAnswer: 3*l*(l + 877)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0594 - -0.0594. What is the third biggest value in -3, -1\/6, 0.1, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18585692*u**3 - 2702300*u - 3?\nAnswer: -111514152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.4 - -10. Let k = f - 2.6. Let y = -2.9 - k. Which is smaller: y or 2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 0.1 (c) 1\/9 (d) 0.2 (e) -169\/28 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 72, -4, -21, 35 in increasing order.\nAnswer: -21, -4, -1, 35, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6863*d*q**2 + 2*d*q + 236328*d + 523*q**2 + q + 1 wrt q.\nAnswer: 13726*d + 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0, 1\/5, -45\/49, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -932665748 - 8\nAnswer: -932665756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 2, e: 3, w: 1, t: 2}. Give prob of sequence wbb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 + l**3 + 3*l**3 + (4 - 1 + 1)*(1 - 1 + l**3).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(-7*3\/(-294))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 370111, 740222, 1110327, 1480426, 1850519?\n\"Answer: -3*z**2 + 370120*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3, -2*y - 5*j + 0*j + 5 = 0. Suppose 4*u + d - y = u, -2*u + 3*d = -3. Let l(v) = v**3 - 3*v**2 + 3*v + 4. What is l(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -700520 + 316?\nAnswer: -700202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 + n - 1. Let l(o) = 6*o**2 + o - 2. Let h = -13 - -9. Let v(g) = -10*g - 47. Let w be v(-5). What is h*f(z) + w*l(z)?\nAnswer: -2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 162\/21 + 8\/28. Let c be (f\/6)\/((-18)\/(-81)). Solve w = c*w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 103810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 10}. What is prob of sequence hhy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7\/4)\/y)\/(y*y*y**21))\/(y**(1\/2)\/y**1) assuming y is positive.\nAnswer: y**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3195712 - -0.0594\nAnswer: -3195711.9406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:31 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -2, -135 in descending order.\nAnswer: 0.09, -2, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from rryogcoycrryyoco.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*w + 3*s - 154, -5*s + 22 = w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(-2)\/(40\/10). What is the fourth smallest value in 0, 21, 0.2, s?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 + 1.1. Let u = 49 + -52. Suppose 5*q + 19 - 9 = 0. What is the third smallest value in q, u, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 48.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 24 = -5*d, -4*c + 9 - 27 = 2*d. Let w(j) be the first derivative of -1 + 0*j + 1\/2*j**2. Let p(r) = -r**3 - 3*r. Give d*w(h) - p(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/42 + 5)\/((-101)\/(116655\/1188)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192620421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7913, -15431, -22949, -30467, -37985?\n\"Answer: -7518*o - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -2 (d) -6.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -534\/65 + 10837\/520. What is the common denominator of 0 - 2 - 178\/(-80) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/10)\/(13104\/663390)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -6296?\nAnswer: -5\/3148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 + 130 = 24*f. Let -224*m - 28*m**3 - 45 + 70*m**2 + f - 17 - 274*m**2 = 0. Calculate m.\nAnswer: -6, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250*4.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 5, y: 5}. Give prob of picking 2 y.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300686?\nAnswer: 2, 150343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a**5 - 1119216*a**4 - 8118079*a**3 + 6980384*a**2 + 2116887*a + 139960 = 0. Calculate a.\nAnswer: -8, -1\/8, 1, 17495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-115)\/((-98)\/(-21) - 5). Suppose -s + 501 = f. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24631737 divided by 39.\nAnswer: 631583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 35 = 5*r, r - 7596*g + 7 = -7593*g for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8063*s**2 + 11246*s**2 - 20409*s**2 - 65524*s**2.\nAnswer: -82750*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 0*m)*(17 - 10 - 20 + (0 + 2 - 4)*(-4 + 3 + 2) + 4 + 3 + 1 - 5 + 5 + 3).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15406 - 7669. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(-3720)*24*30\/(-4). Suppose 3*j - 4*w + w - 9 = 0, -4*w = -2*j + 6. Which is the closest to f? (a) j (b) 0.4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 730, 698, 660, 616?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*l = -l + 1, 15 = -5*l. Suppose f*x = -3*t + 4, -3*x - 6*t + 2*t + 4 = 0. Which is the closest to x? (a) 5\/2 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7584 + 7476 - 17725)*(-2 - 1 + 0)*((0*c - 2*c + 3*c)*(-1 + 1 - 2*c) - c**2 - 3*c**2 + 2*c**2).\nAnswer: -31980*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 1 - 2\/9*v - 2\/27*v**3 + 2\/9*v**2. Factor u(y).\nAnswer: -2*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 1317. Let f(x) be the first derivative of 2*x**3\/3 - 2230. Determine n(f(s)).\nAnswer: 2*s**2 + 1317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -16 (b) 14 (c) 1\/4 (d) 0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 159395 + 62970. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**14*p))\/p)\/p**(-18)*p**(-3\/4)*p*p**(-14))**47 assuming p is positive.\nAnswer: p**(3055\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305793?\nAnswer: 3, 61, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803129.\nAnswer: 7, 41, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -574\/9, 0.5, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**3 - 8*z**2 - 6*z. Let h(r) be the third derivative of r**6\/30 + r**5\/20 + r**4\/12 + 7*r**2. Determine 3*f(x) + 8*h(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*n**2 - 13 + 1898*n**4 - 677*n**4 + 1556*n**4 - 38*n**2 wrt n.\nAnswer: 66648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + k + 75 = 0. Let y(m) = 7*m**2 + 7*m + 8. List the prime factors of y(k).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:39 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909477176309 + 6*z + 909477176309.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*(-9774)\/(-5430)*1*5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.8. Suppose -5*q = 3*k + 14, 0 = -2*q - 2*k - 2*k - 14. What is the nearest to -0.1 in x, 1\/6, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:08 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3002 or -3008?\nAnswer: -3008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -136*9199\nAnswer: -1251064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -50. Let q = o + -16.5. Round q to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10102 - 1534 = -63*h - 294*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Suppose 2 = y*o - 1. Does 18 divide o\/2 - 648\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/9)\/(2\/30). Let p = 39 - r. Let y = p - -18. What is the highest common factor of y and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14605 - -0.05605. What is the biggest value in -0.05, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1455 - 35914?\nAnswer: -36d69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 37, 56, 93, 154?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26345 divided by 5269?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - (-1 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -25*m. Let r(c) = -26*c. Calculate 6*r(n) - 7*u(n).\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*b**3 + 7540*b**2 - 1416*b.\nAnswer: 4*b*(b + 118)*(16*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 10:59 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17 + 9 - 16 + 65*f**2 + 24*f - 66*f**2. What is the units digit of h(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - -17 - ((100 - 40) + 37)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 1\/25 (c) 0.5 (d) 2035 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, 0, 2, -3, 83, 4.\nAnswer: -3, -2, 0, 2, 4, 17, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/18278 and -2\/2405.\nAnswer: 91390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24*l**2. Let r(p) = 61*p**2 + 60*p**2 - 122*p**2. Determine w(r(z)).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45.5 - -46. Let c = 0.5009 - d. Round c to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198 or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 13. Suppose -2*r + 6*r = j. Suppose 35 = r*l + l. Solve -q = 2*q + 5*t + 9, 2*q + l*t + 11 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/12)\/s)*(s*s**(2\/9))\/s)\/(s**7\/(s*s**9)))**(-7) assuming s is positive.\nAnswer: s**(-1295\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**2 - 4*u**4 - 728*u + 4*u**3 + 728*u.\nAnswer: -4*u**2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -116*l + 2. Let r(x) = -2*x. Calculate r(w(c)).\nAnswer: 232*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = m + 5*l - 8, 2*m + 3*l = 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 282\/45)\/(38 - (-6596)\/(-170))?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/8106 and -77\/4282284.\nAnswer: 29975988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7924674 to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -82. Let h = s - 27.5. Round h to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 200\/(-15)*(17\/(-4) - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8110*i**4 + 21*i**3 + 1133*i**2 + 12*i - 2 wrt i?\nAnswer: 194640*i + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130013 (base 7) to base 3.\nAnswer: 21012100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967695 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/17, -2\/9, 3\/7 in ascending order.\nAnswer: -2\/9, 2\/17, 3\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**2*c + 69*b**2 - 9*b*c - 2*b + 215870*c wrt b?\nAnswer: 8*b*c + 138*b - 9*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29743 + 380?\nAnswer: 2a013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076784865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 136*t + 993. Calculate the remainder when 167 is divided by g(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350688555 divided by -1?\nAnswer: -350688555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -0.02. Let g = h - 0. Let m = 2381 + -2382. What is the closest to -0.2 in -2\/23, m, g?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, r: 3}. Give prob of sequence ir.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 18*h + 18. Let t be c(9). Suppose -42 = -4*g + 2*z, -5*z + 12 = -g + 4*g. What is the highest common factor of g and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/824283 and -133\/183174.\nAnswer: 1648566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:19 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 3*o - 4*s - 1255, 2*o + 5*s = 822. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 923779\nAnswer: 33\/923779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ccejeyycze.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 4. Let x(u) = -4. Let n(t) = 4*x(t) + 3*z(t). Let r be n(2). Factor 2\/3 - h - 5\/3*h**r.\nAnswer: -(h + 1)*(5*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 - 4. Let f be q(-3). Let b = -405 - -411. Solve 0*i = f*i - 5, -2*h - b = 4*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 8*h. Suppose -28 = 3*x - 10. What is the remainder when g(x) is divided by 3515\/133 - (-12)\/21?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1109 (b) 424 (c) -2 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 15. Suppose -5 = 5*r - 0, 0 = -3*i + g*r + 8. Let o = i - 3. Are -1\/2 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 43)*(-8)\/(96\/(-18)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 + 51*o - 2584. What is u(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-195)\/(-18))\/(-13))\/(86\/(-1806)*(-7)\/(-26))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-469)\/(-2613) + 12\/234.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6092201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lljlhpjqllqqqhiplh. What is prob of sequence pqq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.21, 0.1, -1\/3, -20\/7, 492?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*i**5 - 5*d*i**3 + 13*d*i**2 - 230*d*i + 2 wrt i.\nAnswer: -20*d*i**3 - 30*d*i + 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 0, 10, -2 in descending order.\nAnswer: 15, 10, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 6 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*d - 51. Suppose d + 0 = h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -86, -282, -658, -1274, -2190, -3466?\n\"Answer: -10*y**3 - 6*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (150\/120)\/(2\/16). Let w be (-6)\/(-15)*h\/16. Let b be 1 + (2\/4)\/(8\/16). What is the nearest to b in w, 0, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -5*b**8\/168 - 5*b**4\/24 + b**2\/2 + 8. Let v(s) be the second derivative of u(s). Find the second derivative of v(c) wrt c.\nAnswer: -200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247405*d**3*h**2 - 15*d**3 - h**4 + 68038*h wrt h.\nAnswer: 494810*d**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*l - 60816 = -141*l + 147*l for l.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -1\/6*u**6 + 0*u + 0*u**5 + 0 - 7\/12*u**4 + 13*u**2 + 0*u**3. Find the second derivative of h(x) wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*c*l**2*w + c*l**2 + 5*c*l*w**2 - 22*l**2 - 3*l*w**2 wrt c?\nAnswer: 14*l**2*w + l**2 + 5*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 4:24 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 7) + -14 + (12 - (-2 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15144 - 15206.43. Let j = 63 + k. Let f = -0.07 + j. What is the nearest to 0.1 in -2\/5, f, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 60 = b. Suppose 127 + 49 = 4*d. Calculate the remainder when d is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/45 - 5377\/(-285). Let k = 175 + -87. Let l = k - i. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u - 1. Let a(h) = -h**3 + 2*h**2 + h. Let j be a(-1). Suppose -x = j*q - 0*x - 3, -5*q = -x - 4. What is the units digit of o(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-1 + (-2 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 12. Suppose -4*k - u = -k. What are the prime factors of -2*-1*(0 - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -46, 1, 0 in decreasing order.\nAnswer: 4, 1, 0, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.063 - 19.937. Which is the closest to -1\/3? (a) f (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7390 + -4507. Sort -1, h, -2\/3.\nAnswer: -1, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -803.9 + 803.891. Is 0.196 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/7 and 17914 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*j - 0*j. Let p be ((-27)\/j)\/9*(-1 - -193). Let k = p + -85. Calculate the remainder when 30 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0473529 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240359287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 5611745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 535777972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57595624 or 57595625?\nAnswer: 57595624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*a - 3, -5*r - 5 = -7*r - 5*a. Let g(x) = -x**3 + 7*x**2 - x + 4. Let n be g(7). What is the nearest to r in n, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o**2 - o. Let u = -5 + 11. Calculate the remainder when i(-1) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476769?\nAnswer: 3, 158923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19382 or 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -155. Which is the nearest to r? (a) 2\/9 (b) -1\/2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668505 divided by 1087.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvw. Give prob of picking 1 v and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(697\/(-205))*(-87)\/(-15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q + 13*q - 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56785428 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418702 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19752796 and 128916?\nAnswer: 177775164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 - m**3 - m**3)*(2*m**2 + 2*m**2 - 2*m**2 + (0*m + 3*m - 4*m)*(2*m - m + 0*m) + 2 - 2 - 2*m**2).\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*((-15)\/(-5))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -266*n**6*z + n**4*z - 2*n**2*z - 891*z wrt n?\nAnswer: -31920*n**3*z + 24*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.1 - 8. Let j(g) = g**2 + 7*g - 3. Let t be j(-7). Let n be (-6)\/28*(-1 - t). Put c, -1, n in ascending order.\nAnswer: -1, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 126*i + 2288 = 0.\nAnswer: 22, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-15) + (-3 - 60\/(-18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q\/((q**(-11\/6)\/q*q)\/q))\/q*q*q*q\/q**7 assuming q is positive.\nAnswer: q**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311210 (base 4) in base 6?\nAnswer: 125444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 358, 362, 366, 370, 374?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-159)\/4)*-4. Suppose -4*g + 0*y = y - 611, -g = 2*y - a. What is the greatest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 3, w: 1, c: 1}. What is prob of picking 1 o, 1 c, 1 i, and 1 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**5\/20 - 2*x**4\/3 + x**3\/6 + 4*x. Let b be a(-8). Put 1, b, -1 in descending order.\nAnswer: 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*m**2 - 529\/7 - 46\/7*m.\nAnswer: -(m + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3880734.7 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzwezewwwz. What is prob of sequence wwe?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*-1*5\/(-15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 193*s**6\/20 + s**4\/24 + 31*s**3\/3 + 9*s**2 - 104. Find the second derivative of f(u) wrt u.\nAnswer: 6948*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/5 + 224*d**3\/5 + 4718*d**2\/5 - 25464*d\/5 - 13608 = 0?\nAnswer: -81, -35, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 86. Let s = -40.7 - z. What is the closest to 1\/3 in 2, -1, s?\nAnswer: s","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 olcuv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33771*t + 16908*t = -16886*t - 1288 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 8. Let a(i) = 3 - 4 + 1 - 1. What is -6*a(u) - m(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-48))\/(3\/(-126)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 275*m - 272*m - 16, -4*m + 28 = -p for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -239458536 >= -239458536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72698 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 closest to -30 in 3, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-15) + (-8)\/5. What is the hundreds digit of (2 - 13)\/(w + (-86)\/(-29))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 19. Let i(p) = 4*p + 4 + 0*p + 2 - 6*p + p. Give 7*i(m) + 2*t(m).\nAnswer: -3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*(56\/42)\/((-4)\/1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 360*y - 355.\nAnswer: -5*(y + 1)*(y + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-4 - 21)) + (1 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-6) - (25 - 2 - 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 + -175 + (-44 - (-5 - -4 - 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -273?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4007 millilitres in litres?\nAnswer: 0.0024007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y - 3. Let r be w(-2). Suppose 57 = r*o - 2*o. What is the first derivative of 59 + o*h - 3*h + 4*h - 39 wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9123, -18232, -27341, -36450, -45559, -54668?\n\"Answer: -9109*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10808069)\/63*(-1 + 0). Let j = y - 171564. Let k = j - -53\/7. Do k and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-85)\/(-2)*31\/(1240\/672)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 31001?\nAnswer: 31003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -75519+350963\nAnswer: 275444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3740 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3140\/7 + 6213\/14. Calculate the common denominator of n and 53\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 - 1406 = 101*c + 102 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 691951 and 2159?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(1 - 1 + 2*z) - 7063 + 7063 - 109*z.\nAnswer: -111*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26581*a**2 + 6*a + 107044 wrt a.\nAnswer: 53162*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308027, -306641, -305255, -303869, -302483?\nAnswer: -301097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -25*t**4\/4 + t**3\/3 - 1. Is a(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054064338 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - -5 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53318143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2 + 18. Solve r = -2*x - 0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46363 is divided by 11496.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -128828*s + 2924. Let a(u) = 528*u - 12. Give -1462*a(x) - 6*g(x).\nAnswer: 1032*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 19. Let o = 18 - u. Is -0.1 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1314*t - 1. Let b(h) = -1311*h + 1. Give -6*b(x) - 5*y(x).\nAnswer: 1296*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r**2 - 16*r + 8. Let s(l) = -1 + 7*l - 3 - 6*l**2 + l - l**2. Let q = 15 + -24. Let g(y) = q*s(y) - 4*n(y). Factor g(c).\nAnswer: (c - 2)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uorokoourooolf. Give prob of sequence fk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 81\/(-4)*1440\/(-216). Suppose -3*t = -5*j + 228, 0*j + 140 = 3*j - 5*t. What is the greatest common factor of j and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 6, b: 4}. What is prob of sequence jbj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87076 by -3958.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.16838\nAnswer: -0.33676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*x - 10 = -0, -4*g + 6 = -2*x. Suppose -6 = -0*h - g*h. Let k be (9\/(-36))\/(-1 + 0). What is the second smallest value in h, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20812, -20787, -20762, -20737, -20712?\nAnswer: -20687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 467 - 468.19. Let h = -485015077 - -485015075.809999345. Let o = h - p. What is o rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1279 * -2\nAnswer: -0.2558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.5248 - 132518\nAnswer: -132520.5248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254661 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -14*g - 1921. Let k be ((-20)\/(-4) - 10)*4\/g. Let k*a**4 + 4\/13*a**3 + 8\/13 - 8\/13*a - 6\/13*a**2 = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:19 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262868 is divided by 3982?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*k + 222*k + 764*k + 133*k - 76792 = 0 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -941, -42907, -3 in descending order.\nAnswer: -3, -941, -42907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.58532 + 4.926.\nAnswer: -31.65932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*f**6 + 699*c*f**5 + 394*c - 5*f**2 wrt f.\nAnswer: -240*c*f**3 + 41940*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2)**2 - (-1 + sqrt(200))**2.\nAnswer: -129 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/371096 and -3\/3432638.\nAnswer: 13730552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 383, 576, 771, 968, 1167?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -5*k + 3, -21 + 20 = -3*o - 5*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:33 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2557 + 13*l**4 - 1278 - 1283 - l**2 - 3*l to k*l**4 + s*l**2 + g*l**3 + c + r*l and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*n - 665, -3*n + u + 399 = -2*u. Suppose n + 5 = 3*j. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1118 and 557.57757.\nAnswer: -560.42243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/5*o**2 - 2 - 2\/5*o**3 + 29\/5*o.\nAnswer: -(o - 1)*(o + 10)*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9*i = 4*i - 13, 2*h - 37 = -i. What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v + 16. Let k = -5 + 5.3. Let f = -0.2 + k. Which is the second biggest value? (a) v (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (4 + (-5 - -9))) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225090422 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9993 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x - 6. Let z(l) = 11*l - 12. Suppose -11 = -3*t + 10. Let k(d) = t*r(d) - 3*z(d). Is k(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojkfmj. What is prob of picking 2 j and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*b**4 - 2*b**2 - 5 + 3 + 11*b - 5*b + 109*b**4 + 10*b to the form r*b**2 + f*b**3 + c + o*b**4 + w*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssyyyvy. Give prob of sequence yvv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 3323, -45 in decreasing order.\nAnswer: 3323, 4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 112.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6678996369 + -0.6679. Round r to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129278939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 11 - 12 - (-1 + -55 - -4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 2433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3970\nAnswer: -11910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from llccssccsycmlclkl.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, and 2 q when four letters picked without replacement from {w: 1, e: 2, q: 4, i: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.758311 months to millennia.\nAnswer: 0.00147985925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -182 (b) -4\/7 (c) -0.92 (d) -1\/6 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*p + 188*a**3 + a**2 + 3945*p + 4 wrt p?\nAnswer: a**3 + 3945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(33)\/(4*sqrt(48)))**2*5 + (5 + sqrt(539) + (sqrt(539) + 1 + sqrt(539))*-3)*-4.\nAnswer: -2103\/256 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, a: 1, s: 1, i: 1}. What is prob of sequence ai?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 2c9?\nAnswer: -2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - 2*o - 2*o + (4 + 7 - 2)*(-4*o + 5*o - 3*o)*(-12 + 17 + 7).\nAnswer: -215*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29421 or 4.069?\nAnswer: 4.069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83099 is divided by 82200.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n + 8 = 0. Let i be 2\/(-10) - n\/35. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - -1. Does 37 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*1*1 - ((sqrt(19) + (sqrt(38) + sqrt(608))\/sqrt(2))**2 + sqrt(19)*2*4).\nAnswer: -684 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrtyybkytrtyyr. Give prob of picking 1 r and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.011 - -3.111. Let m = j + -3. Let l = -96 + 670\/7. What is the closest to m in l, 0.5, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 23 (b) -0.07 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(16\/(-32)). What is the derivative of -c - 4 - o + 13 wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 15\/6)*8. Suppose -3*g = -z*g + 14. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 1\/4*h**4 - 2 + 0*h**2 + 0*h**3 + h. Let r be j(0). Solve -r + 16 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514925646 rounded to the nearest one million?\nAnswer: -1515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1439 - -1435. Let l(k) = k**3 + 6*k**2 + k + 1. Give l(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c + 3*c - 5*c**2 - 3*c**2. Let t(s) be the third derivative of s**5\/4 + 7*s**4\/24 - 33*s**2 + 14*s. What is -4*t(h) - 7*u(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -445, -3399, -11359, -26827, -52305, -90295, -143299?\n\"Answer: -417*r**3 - r**2 - 32*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*m - 4*m - 4*r, -4*m - 4*r = -168. Let n = -25 - -29. Suppose n*c - 52 = 200. Calculate the highest common factor of m and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 660242.01 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + 182?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-3 + 3 + 4)*(-3*x - x - x) - 5*x + 4*x + 3*x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*d + 618*d - 889*d.\nAnswer: 89*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 275\/((-9 - -3)\/(-6)). Let o = -273 + y. Solve -2*c - 14 = o*n - 7*n, -4*c = -2*n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 8 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 36 = r, 0 = -2*s + 5*r - r + 34. Let y(j) = j**2 - 11*j + 8. What is the remainder when 13 is divided by y(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.85214ml in litres?\nAnswer: 0.05885214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/77940 and 65\/327348?\nAnswer: 1636740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 3*c**3 - 2*c**3)*(3926 - 3926 + 1200*c).\nAnswer: -1200*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89205 is divided by 5104.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, 2.6, -0.1, -2\/9 in descending order.\nAnswer: 36, 2.6, 1, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 31)*9\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 3 (c) -27\/5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/91 - (388\/(-504) + (-12)\/27)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**1*j*j**(1\/3)*(j*j*j\/((j*(j*j**(-1)*j)\/j)\/j))**(-25) assuming j is positive.\nAnswer: j**(-221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/24 - 7*d**3\/4 - 56*d. Find f, given that h(f) = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:04 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43455 by -14485.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 4*w - 2*w + (5*w - w - 3*w)*(-4 + 10 - 1) + 94*w - 27*w - 35*w + (0 + 0 - 1)*(2*w - w + 0*w).\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 924, 1804, 2682, 3558, 4432?\n\"Answer: -q**2 + 883*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 7*c**2 + 3*c - 2. Let o be w(5). Let z = -58 - -33. Let n = z - o. Calculate the remainder when 56 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 281 = -681 - 575. Sort 5, l, -11, 1.\nAnswer: l, -11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (-1*sqrt(1900) + 0)) + -4)**2 + (sqrt(95) - (sqrt(95) - (sqrt(95) + 6*(sqrt(95) + 2*sqrt(95)))))\/(sqrt(45)*6).\nAnswer: -2861*sqrt(19)\/18 + 7616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16351, -16350, -16349, -16348, -16347, -16346?\nAnswer: -16345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-1))\/(((-78)\/(-416))\/((-1)\/(-4)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, 125\/7373, -0.3?\nAnswer: 125\/7373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275 - 261.45. Let v = 13 - i. Let g = 7.65 - v. What is g rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 163035 - -13?\nAnswer: 163050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2144519m in micrometers?\nAnswer: 214451.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1562299t?\nAnswer: 156.2299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 6 + 9*272\/936*-3. Which is bigger: -0.028 or u?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from sjjjjssjsjjjjtssj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12*w**2 - 80*w - 239. Determine g(-3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 1. Let x(b) = 7*b + 2. Suppose -3*n - 4 = -16. Suppose 5*o + 3 = 4*g - 8, -20 = -n*o. Let z be 47\/g + (-2)\/9. Calculate z*j(y) - 2*x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (11 - 1 - 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10268780.\nAnswer: 2, 5, 513439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 - 32. Let n = s - 32. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-180)\/8 - 3)*(-2)\/3. Let z = 19 - o. Let f(q) = 14*q - 6. What is the remainder when 105 is divided by f(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujl when three letters picked without replacement from lbllvlblvvjubejbjb.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 394 - 198 - 183*p**2 - 198 + 3*p**2 - 2*p**2 + 3*p**2 + 0*p**2 + 0*p**2 + p**2 + 1 - 2*p**2 - 1 + (-4 + 0 + 3)*(2*p**2 + 4*p**2 - 4*p**2).\nAnswer: -182*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44594?\nAnswer: 2, 11, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 3*k + 264. Let i(u) = 118*u + 296. Let l be i(-6). Let m = l - -420. What is the highest common factor of k and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 15, 5*u - 39*x + 37*x + 19 = 58 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 24*m**2 + 7*m - 4*m - 3*m to the form u*m + g + l*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u + 3. Let h be y(2). Suppose -5 + h = p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/2 of a millennium in decades?\nAnswer: 2950","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 5*k + 2*k)*(2961 + 7549 - 4569) as q + b*k and give b.\nAnswer: -5941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 1 - 9) + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 0, 0 = p + 3*b - 1 - 2. Solve -14*j = 17 - p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q**1\/q)\/q*q)\/q))\/q)**45*(((q**(-1\/3)*q)\/q*q*q)\/q)**(13\/3))\/(q**4*q**(-1\/3)*(q**(-1\/3))**4) assuming q is positive.\nAnswer: q**(410\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 31, 3, 0.009, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/62597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -170.92\nAnswer: -51.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 - -192. Is n less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 0, 8*v + 2*m = 13*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1320 + -11?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.9812mg in grams?\nAnswer: 0.0889812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + -2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*h = -10*h - 150, -h = 4. Suppose -5 = q - r. Let y = 27 - q. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11468.\nAnswer: 2, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763833899 to the power of 1\/3, to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*s**2*z - 2*d**3*s*z - 43183*d**3*z - 129*d**2*s*z - 2*d*s**2*z + 5*d*s**2 - 2*d*s*z + 4*s**2*z wrt d?\nAnswer: 12*s**2*z - 12*s*z - 259098*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 5, -0.11, 42\/5, 1?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -109, -3, 7, 1, -2, -5 in decreasing order.\nAnswer: 7, 4, 1, -2, -3, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/120 + 873*p**2. Let m(i) = 12*i**3 - 10. What is m(a) + 10*o(a)?\nAnswer: 2*a**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 650*s - 21125.\nAnswer: -5*(s - 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 9*d + 3. Let i be j(-9). Let w be (0 - -45)\/i - 1. Suppose 3*q = 43 + w. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985 is divided by 181?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - c. Suppose -y = -2*w - 12, 3*w + 7 = -4*y - 0*w. Let h be (y - (-2 - -5)) + 2. Suppose l = -0 + h. What is n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 17 - 8*c - 8*c. Let k(w) = 5*w + 6. Suppose -2*o = -3*o - 6. Let y(t) = o*n(t) - 17*k(t). Let m(s) = -3*s**2. Determine m(y(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 42 = -f, -10*f - 18 = -u - 11*f. What is the highest common divisor of u and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/33 (b) -3\/5 (c) -3\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5 - 70826*i**4 + 1256485318*i**3 - 85123218468*i**2 + 166477264281*i - 82610460306 = 0.\nAnswer: 1, 66, 35379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -435136 (base 10) in base 16?\nAnswer: -6a3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1263*d - 27. Let w(k) = -2524*k + 59. Determine -11*m(x) - 5*w(x).\nAnswer: -1273*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 494*t + 23*t + 9990 = -27*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -8, 23, 54?\n\"Answer: 31*w - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 11*x - 9. Calculate m(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqqo when four letters picked without replacement from qowowblqbqlqlqb.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {f: 8, l: 6, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*z = -b, 5*b - 3*z = -8. Let m = 12 + b. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*t - 12739 + 824539. Does 216 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -111. Let z = -46 + 48. Sort z, -1, 0, r in decreasing order.\nAnswer: z, 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let a be m(-6). Suppose -17*w = -29 + 12. Suppose 2*j = 3 + w. Solve j*r = -3*p + 14 - 5, -a = -2*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16437, -33324, -50209, -67092, -83973, -100852?\n\"Answer: d**2 - 16890*d + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*v - 14*v**3 + 12*v**3 - v**2 - 52*v to f*v**2 + r + z*v**3 + g*v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -1.62233 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:34 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 - 5*k - 3. Let x be a(6). Let i be 12\/x + 1*-10. Let m be (-4)\/(-6) - 68\/12. Is m smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423913 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -741283 or -741324?\nAnswer: -741283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1270 and -77\/10.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from cscssssccc?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1823*h - 1753*h - 1120 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -38b6 (base 13) to base 10\nAnswer: -8092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/9)\/i)\/i**5)**(1\/14) assuming i is positive.\nAnswer: i**(-25\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16656200 (base 8) to base 4\nAnswer: 32311302000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 0)*(-156)\/(-10). Suppose 5*n = 2*w - r, -5*w + 117 = -2*w - n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d - 1, 0 = 2*i - 5*d - 341. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2 - 10505*f = 0. Calculate f.\nAnswer: -10505, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1456020 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -20, 9, -2 in ascending order.\nAnswer: -20, -2, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 + 348*c - 15138 = 0.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0611 + 0.7849. Round x to two decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 10. Let n be j(-16). Let w be 4\/n - (-10)\/(-15). Is -3\/4 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 31*m - 1. Let r(v) = -12*v**2 + 61*v - 2. Give -4*r(o) + 7*x(o).\nAnswer: -o**2 - 27*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 22*f + 8901 = 0. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*t + 2*t - 3*t)*(3 - 3 + 2) + 2*t - 1 + 1)*(2 + t - 2).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1311?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*p + 296*p = 36942. Is p a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1.446?\nAnswer: -2.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 76?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.22. Let x = -5 - 4. Let p = x - -6. Which is the closest to m? (a) p (b) -1\/2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a47bc2 - 4?\nAnswer: 8a47bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70455098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -857 + 2*v + 857. Let r(g) = -5*g**2 + 3*g**2 + 4*g**2. Calculate l(r(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + (-2 - -15). Calculate the highest common divisor of m and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 0.4 (c) -0.058 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.1 - 25.8. Let k = -107 + 102. Which is the closest to 2\/17? (a) y (b) k (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/3 - (-8 + 4). Let u(z) = 6*z**3 - 5*z**2 - 2*z - 4. Let t(n) = -5*n**3 + 4*n**2 + 2*n + 3. Let d(i) = c*u(i) - 5*t(i). Give d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2276466, 4552960, 6829454, 9105948?\nAnswer: 11382442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*y + 6, -y + 2*y = -g. Suppose g*u - 373 = 2*u - 5*r, -1392 = -4*u + 5*r. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 526 = 48. Let p = 81 - i. Put -3, p, 8, 0 in descending order.\nAnswer: 8, 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:11 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 14. Let z be d(-7). Suppose z*f - 36 = 104. Let y be (10\/f)\/((-1)\/(-6)). Put y, -3, -3\/8 in increasing order.\nAnswer: -3, -3\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(39)\/sqrt(3))**2 + 2.\nAnswer: 16850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -5*c**3\/6 - c**2\/2 + 3*c. Let j be l(-1). Let p(v) = v**2 - v + 4. Let q be p(0). Solve j = -q*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 4*j - j)*(6*j - 17*j + 12*j - 4) to d + q*j + x*j**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q - 0*q - 3*v, -3*q + 22 = 2*v. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977939 is divided by 325823.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -2*h**2 - 822. Let j(a) = 2*a**2 + 2*a. Let l be j(-2). Let i(x) = -l*x + 2*x + 4*x. Determine i(c(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 291 - 1250*p**2 + 221*p**2 - 176 + 107 + 810 wrt p?\nAnswer: -2058*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3*-0.1177\nAnswer: 0.38841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 9*z - 9. Let n be (-9 - 2)\/(-1*1). List the prime factors of x(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + 2*z**2 + z - 1. Let g be y(3). Let r = -31 - g. Is r at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6693715 to the power of 1\/2, to the nearest integer?\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**4\/2 + 50*h. Let i(s) = -41*s. What is q(i(p))?\nAnswer: 10086*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1031\/4092 - -2\/1023. Let z = 13218 + -65816\/5. Let t = z + -55. Which is the fourth biggest value? (a) l (b) -2 (c) 3\/4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 8130?\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -k - 8*v + 216195, 0 = 2*k - 3*v - 432376. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*j - 95312 - 256. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -41\/4*s**4 - 3*s - 127 - 5\/3*s**3 + 0*s**2. What is the third derivative of u(c) wrt c?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062620 (base 7) in base 3?\nAnswer: -20202111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y + 5. Let p(z) = -3*z - 4. Let b be p(-3). What is f(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 89*l + 1278. Let b be x(-14). What is the highest common divisor of 5872 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 2*h + 285*h**2 - 23 - 3*h.\nAnswer: 285*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -12\/7, -7\/2, 1, 0.1 in descending order.\nAnswer: 1, 0.1, -12\/7, -7\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - g + g + g + (7 - 2*g - 7)*(2 - 5 + 4).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46539 + -2.2598?\nAnswer: 46536.7402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 385\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1115*t + 12266. What is z(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimmiimmmimmmmimmim. Give prob of sequence mm.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 185\/4810*(-1 + -2)*(-1 + 3)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2808, 2788, 2766, 2742, 2716?\n\"Answer: -x**2 - 17*x + 2826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.38 + -0.62. Sort -12, o, 0 in decreasing order.\nAnswer: 0, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13225000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 0.255.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 9*s**3 + 2)*(142*s + 453 - 453) to x*s**4 + t + c*s**2 + d*s + u*s**3 and give x.\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + a**3 + 0*a**3 + 2*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9228 (base 10) to base 9.\nAnswer: 13583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:11 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185 + -184. Solve -7*a + 36 = x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -9, 3, 2, 6 in descending order.\nAnswer: 6, 3, 2, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o - 67*o + 46*o.\nAnswer: -74*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 5*c**2 - 16)*((2 - 4 + 0)*(-c + 3 - 3) + 3*c - 4*c + 4*c) + 2*c**3 + 0*c**3 + 2*c**3 to q*c**2 + p*c + m*c**3 + n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = -33*m - 2*m - 49 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185248 and 672?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - (-6)\/9. Suppose 4*w + m = 9. Suppose w*i = -2*i + 8. Solve -2 - i = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/70 - -2\/105. Let t = -257.5 + 258. What is the second biggest value in 2.41, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52730299 and 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1711 and -9.5.\nAnswer: -16254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 69*m - 65*m - 11485, -2*l - 3*m = -22960. Is l a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*r + 4, -3*t + 3*r + r + 12 = 0. Let q(n) = -t*n + 4*n + 0*n + 3*n. Let k(v) = -4*v + 17*v - 12*v. Calculate k(q(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2618.30310304?\nAnswer: -2615.30310304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/9 - 92*b\/3 - 280\/9.\nAnswer: 4*(b - 70)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -24, -5, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = 30*a - 36 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060158401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**5\/20 + r**4\/4 - r**2 + 13*r. Let w be 7\/3 + 2\/(-6). Let h be x(w). Solve -7*o - 20 = -h*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716982?\nAnswer: 2, 1358491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 + 638*h**2 + 255*h + 208. Suppose 0 = 5*f - 247 + 72. Calculate the remainder when m(128) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - j - 2 - 10 + 0 - 3*j**3 in the form v*j**2 + r*j**3 + q*j + o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284.28 rounded to the nearest ten?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, 166, 1043, 2458, 4417?\nAnswer: 6926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m**2 + 0*m)*(72*m + 98*m - 66*m - m - 4*m + 6*m + (1 - 2 + 3)*(-2*m + m + 3*m)) to f*m + c + l*m**3 + b*m**2 and give l.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21460 = 1037*n + 16474 - 12009 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(491*k + 12 + 173*k - 6).\nAnswer: -1328*k - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62508 + 108923. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 44. Suppose j*i - 18*i - 33 = 0. What is the units digit of 269\/5 - i\/(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2747290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5788402133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 1:36 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(90\/(-8)))\/((-5)\/175*7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351718033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1225096, -2450195, -3675294, -4900393?\n\"Answer: -1225099*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n + 23 = -17*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18810 and -0.3.\nAnswer: 5643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 188. Suppose 5*t - 4*s - b - 1307 = 0, -3*t + s + 890 = 0. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2502 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g**2 + 4*g)*(-2*g + 5*g - 2*g) + 3*g**3 - 3*g**3 - 2*g**3 + (-28*g**3 + 58*g**3 + 102*g**3)*((3 + 5 - 5)*(-1 - 1 + 3) + 2 - 3 - 1).\nAnswer: 131*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -501, -1122, -1981, -3072, -4389, -5926?\nAnswer: -7677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 0.2, 8 in descending order.\nAnswer: 8, 0.2, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*t - 15, -21*u = t - 17*u + 3. Let c = 0.005 + -5.005. Sort 0.3, 5, t, c in increasing order.\nAnswer: c, t, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-15 - -12) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 - 1) - (2 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 1310 + 406 - a.\nAnswer: 3*a - 904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - -105 - (1 - -2 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 0.4, 1\/4, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00208 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121721536?\nAnswer: 2, 1901899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 9) to base 11\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10dbfe (base 16) to base 7.\nAnswer: -12251160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(50\/(-20))*20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 12 = -5*y. Suppose 4*a = y*a - 24. Let m = a + -8. Calculate the least common multiple of 8 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 720 divided by -6\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 2. Suppose 4*c + 90 = -c. Let z = 26 + c. Solve -l*u = -q - 3 + 1, -4*q + z = -4*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278423368 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 2. Let k = 62 - 46. Suppose -7 = 4*l + 3*o, 4*l - k = o - d. Solve l = -2*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1520*v + 6085*v**3 + 53 + 2*v**2 - 21 - 185*v - 24 - 6 wrt v?\nAnswer: 36510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 at least -590\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001009624 to 7 decimal places.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 375 and 960.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + (-3 - -5) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 240, 230, 216, 198, 176?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/11 - 14\/(-77). Let n = f + -11. Let a(s) = -s + 5. What is the units digit of a(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 558 + 2033. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**15*((q*q*(q**4\/q)\/q)\/q)\/q*q*q**(-28)\/(q**(-6)*q) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4133*x**3 - 156*x**2 - 4430871 wrt x.\nAnswer: 12399*x**2 - 312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 - (-1 - 6)) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 - 2) + -5 + 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3a9475 (base 15) to base 4\nAnswer: -22233130100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 7 - 5*m**3 + 3*m**3 - 10 as o*m**3 + l*m**2 + r*m + t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 15*b + 4 - 6)*(-1 - b**2 + 1) to v*b**3 + y*b**2 + i + w*b and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 865280*g**3 + 618870720*g**2 + 139807845*g + 7897175.\nAnswer: 5*(g + 715)*(416*g + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3718 and 234.\nAnswer: 33462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81481 is divided by 1865.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*u - 12 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/s**(1\/7)*((s**8\/s*s)\/s)\/s**(-1\/5))\/(((s**0\/s)\/((s\/((s\/(s\/(s*s**(-1)*s)))\/s))\/s))\/((s\/s**(-2\/17)*s)\/s*s\/((s\/s**(4\/3))\/s))) assuming s is positive.\nAnswer: s**(25897\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 7:10 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:06 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88146, -88145, -88144?\n\"Answer: s - 88147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekkkakkmkkwkrmkke. Give prob of picking 2 m.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -286 (b) 1511 (c) -5\/2 (d) -2\/5 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -1 - 8 - -43405. What is c rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7210\/(-36050) + (-289)\/5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15203 not equal to 15199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 278\/7, -2, 2\/39 in descending order.\nAnswer: 278\/7, 2\/39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 - 2) + 5)*-14. Let p(s) = 2*s**3 + 26*s**2 - 27*s + 18. Calculate the lowest common multiple of p(z) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-38)\/(-57)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 3*s**2 - 12*s + 8. Determine b(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129441 > 129466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 23 = 2*d - 25, 0 = -p - 3*d - 9. Let l be ((-18304)\/24)\/(-8) + 1\/p. Calculate the greatest common divisor of l and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-950)*(-80)\/64.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -0.12, -0.2, -6879?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 0.1 (c) -5 (d) 34 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 900*x**2 + 8*x.\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 + 2*z + 5. Suppose -5*b + 122 = 142. Let i be c(b). Calculate the highest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.39467 - 49.4. Round v to 4 dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - (-41 - -13)) + (0 - -7) - -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19269.34ng in kilograms?\nAnswer: 0.00000001926934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*s - 105 + 20 - 51 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 - 51\/(-68). Let v be (f - 1)\/(-2) + 2. Let 9 - 6*p**2 + 3*p**2 + 3*p**2 - 6*p + p**v = 0. Calculate p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(-11\/2)\/(k**(-2\/3))**(-1\/25) assuming k is positive.\nAnswer: k**(-167\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*a + a - 7, 0 = a + 3*f - 12. Let p = a - 7. Suppose -5*m + 4*b + 61 = 0, -p*m - 3*b = -b - 28. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 h when three letters picked without replacement from ihaataagaatatat.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1055 (b) 11 (c) 0.1 (d) -2647\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*s = 0, 5*s - 10 = 15. Solve -q = 2*q + 5*x + 12, -4*q - 16 = -g*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01035127 - -0.0407.\nAnswer: 0.05105127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 - 4687389727?\nAnswer: -4687389887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:01 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/(5\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 divided by 3?\nAnswer: 217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -3\/2*z**2 - z - z**3 - 1\/4*z**4 - 7. Factor j(u).\nAnswer: -(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, -3, -2, -80639931 in decreasing order.\nAnswer: 4, 2, 0, -2, -3, -80639931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 19*t - 48 - 292 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9) - 595\/(-3). Suppose 3*k - v = 47. Let c = 120 - k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*g = 0, -5*w + 21 = 2*g - 4*g. Suppose -1254 = -14*m + w*m. Calculate the greatest common divisor of m and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -3 (c) -0.312 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*m = 333*m + 246*m + 283*m + 41580 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 8. Let u be o(-3). Suppose 8*z = u*z - 12. Solve 5*q = 11 + z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 80 - 90 = 0. Which is greater: -4\/31 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -5, 42789?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 22039 = -19*l - 2510. Calculate the remainder when l is divided by 319.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826747 is divided by 2193.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 - 132. What is the first derivative of 17*g**3 + 15*g**3 - 79 - p*g**3 + 0*g**3 wrt g?\nAnswer: 78*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14089245.03us?\nAnswer: 0.000023295709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eecccceeccec. What is prob of picking 1 e and 1 c?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/7 - 876600*k**4\/7 + 124492047*k**3\/7 - 665945374*k**2 + 2454373884*k - 16696674648\/7 = 0. What is k?\nAnswer: -876742, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 21*j + 4. Let i be m(-21). Put i, -3, 5, -8 in increasing order.\nAnswer: -8, -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2991?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 7. Let l(o) = 5*o**2 - o**3 - 4*o**3 + 6*o**3. Let j be l(-5). Which is the second smallest value? (a) -2\/5 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 19.8. What is the nearest to j in 5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:07 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 71 - c - 76 + 4*c - 5*c. Calculate r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(1*5*sqrt(8)) - (3 + -5*sqrt(1331)).\nAnswer: -3 + 276*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9265868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*u + 7*u. Let n be (-1)\/(u\/(-42)) + 2. Find the common denominator of 0 - 0 - (-81)\/n and -87\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1452)\/(-792)*(-28)\/33.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u + 5*s - 28, 3*s + 21 = 3*u. Let l = u - 6. Factor -b + b - b**l + b.\nAnswer: -b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b81 (base 16) in base 6?\nAnswer: 21345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j\/((j\/((j\/j**(-1))\/j))\/j)))\/j)**22)**(-18))**37 assuming j is positive.\nAnswer: j**43956","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.1? (a) -3\/5 (b) -5\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75718474 a multiple of 1747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 2096693968 and 1.\nAnswer: 2096693969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 + 2*l - 1. Let h be p(1). Suppose 4*u - h - 2 = 0. Suppose 0 = -u*i + 19 - 3. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128525\/93 - -1382. Let x = 199\/1209 - k. Is -1\/4 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4410 and 4410?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/120054 and -12\/221.\nAnswer: 1560702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6 + 3*h - 4*h + 3*h. List the prime factors of r(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7836\/(-24) + -4)\/(9\/2). Let z = -73 - q. Let y be -2*(-5 + 2)\/(-15). Which is the closest to -1\/2? (a) y (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(0 - 3))\/((-2)\/(-26)). Suppose n*f = 11*f + 418. Let c = f + -86. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 693179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 + 9*c - 5. Let r be u(3). Suppose -4*j = 4*d - d - 4, 5*j + 4*d = r. Solve 3*n - 11 = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/(-6)*-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*v - 80 = 88*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5 - 5. Differentiate 9 + 2 + 0*w + 9*w + f wrt w.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65210161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 - 164*u - 80688 = 0. Calculate u.\nAnswer: -123, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooovvvoovovvooovoo. Give prob of picking 4 v.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a day in minutes?\nAnswer: 1560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211 - -3167\/15. Put 0.5, -17, 0.1, k in increasing order.\nAnswer: -17, 0.1, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -7)*6\/4. Let h be ((-4)\/2 + -2)*-1. Suppose p - i*p = -h. Solve x = p*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - 2. Let c(v) = -2*v + 21. Suppose -4*b - 3*i = -6 - 21, -b - 3*i = 0. Let m be c(b). Solve 2*q - w = m*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 6. Let y be ((-57)\/t)\/(5\/20). Let x = -5 - y. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809\/95780 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/45 - 966\/(-189). Solve 5*k + 11 = -2*b, k + 16 = a*b - k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -0.2 (c) -4 (d) 8 (e) 0.99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175.5 + 176. Is 21 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-30)*(-65)\/39. What is the biggest value in -0.2, 56.2, j?\nAnswer: 56.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 18, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeaayyaae. Give prob of picking 2 y and 2 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 38. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 2, t: 1, x: 1, j: 5, l: 3, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*m**3 + 29*m**2 + 70*m**3 + 3*m**2.\nAnswer: -m**3 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/1)\/((-3)\/(-6)). Let d be ((-36)\/(-16))\/(2\/z). Let t be 3\/(-9) + (-75)\/d. Solve 0 = 5*h - h + t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 578411.3l?\nAnswer: 578411300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 * 2335.237.\nAnswer: 130773.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*f**3 + (1 + 0 + 1)*(-f**3 + 0*f**3 - f**3) - 10*f**3 + 8*f**3 + 12*f**3)*(-3*f**2 + 2*f**2 + 0*f**2).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let w(f) be the second derivative of -7*f**6\/360 - 3*f**4\/4 + 3*f**2\/2 - 43*f. Let x(r) be the third derivative of w(r). Calculate y(x(a)).\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -79.73.\nAnswer: -78.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 280 - 100. Let x = -43 + k. Are 3 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17034 and 918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 78342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/(y*y*(y**(3\/7)\/y)\/y))*y*y**(8\/7) assuming y is positive.\nAnswer: y**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.07 (c) -8 (d) 5 (e) -37.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-117)*1\/(14\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -26 + 10 - 15 + 5*d. Let s be c(6). What is the closest to -0.3 in 1\/10, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 - 24*k - 1\/6*k**4 + 0*k**2 + 0*k**3. Let m(i) be the third derivative of -7*i**5\/12 + 16*i**2. Determine m(q(w)).\nAnswer: -140*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*w - 125*w - 134*w - 130*w - 1787 + 523*w to l + p*w and give l.\nAnswer: -1787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 + 1180083*s**3 + 615653*s**2 wrt s?\nAnswer: -120*s**2 + 7080498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 n when four letters picked without replacement from nsnnhnnsnhshnnns.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*-5*(-72)\/20. Suppose 5*f - a = -w, -2*f - 5*w = 8 - 3. Solve 0 = 7*d - 2*d - f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let c be (1\/(-3))\/(2\/b). Let q = -3 - -2. Is c bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-42)*12\/4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.96 - -0.04. Let f = 3 - q. Suppose 0 = j + 12*c - 9*c - 18, -2*c = -3*j - 1. Put f, -1\/6, j in ascending order.\nAnswer: -1\/6, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 279.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 27 - 29 - 22 - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 3) to base 12.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430034211234 + -10?\nAnswer: -430034211244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18805, 18685, 18565, 18445, 18325, 18205?\nAnswer: 18085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyztppy. Give prob of picking 2 p and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2022 - 3)\/(-4 - -3). Suppose 0 = 4*i + 181 - d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7 and 14\/5231.\nAnswer: 36617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -1, -168, 0.3.\nAnswer: -168, -1, -1\/12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905139250.\nAnswer: 2, 5, 43, 84199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2181353702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -2 + sqrt(832) + sqrt(832))**2.\nAnswer: -6674 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away -2.28345?\nAnswer: 3.78345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1004332 (base 5) to base 3\nAnswer: 211020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 309, 452, 575, 672, 737, 764?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54378392?\nAnswer: 2, 6797299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.6657 and -0.997.\nAnswer: -14.6627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -27*i**4 + 489*i**3 + 999*i**2 + 423*i - 60 = 0.\nAnswer: -1, 1\/9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(-2\/7)\/z)\/z)*z**(-1))\/(z**(-5)*z\/(z\/((z\/(z*z*z\/z**0))\/z)*z)) assuming z is positive.\nAnswer: z**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948.948 millilitres in litres?\nAnswer: 2.948948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n = 15*n - 44. Let f = 0.1 + -0.3. Do n and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -m. Let n(f) = 2*f**3 - 3*f**2 + 5*f + 11. Is n(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.355 plus 2929?\nAnswer: 2929.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*f + f + 72*f)*(5046 - 27*f**3 - 5046) as t*f + h + i*f**4 + w*f**2 + u*f**3 and give i.\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i - 36*i + 4*i**3 + 5*i**3 + 70*i.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (216\/4)\/3 + 0. Is 20 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51234248.7 to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -11*x. Solve x*r = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -28\/3361097?\nAnswer: -28\/3361097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7765.657 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -22*y**2. Let v(p) = -187*p + 7. Calculate v(g(m)).\nAnswer: 4114*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 319050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -5*i**3\/18 + 5*i**2\/4 + 10*i\/3 - 35. Let f(s) = 0. Calculate s.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - z**2 + z**2)*(-2*z**2 + 3*z**2 + 0*z**2)*(-11 - 10 + 6) to the form f*z**4 + c*z**2 + q*z**3 + m*z + i and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2*x**2 - x)*((38 - 55 - 32)*(2 + 5 - 4) - 2 + 1 - 1) to the form q + w*x + s*x**2 and give s.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/112 + (0\/6)\/(-4). Let k(t) be the first derivative of 1\/7*t**2 + 2\/35*t**5 + q*t**4 + 2\/7*t**3 + 6 + 0*t. Factor k(p).\nAnswer: 2*p*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 0.4 (c) -2\/139 (d) -0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1)*(-124)\/93. Is (-3)\/(-6)*-8 + (f - -4439) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 86.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -23. Let l = -25 - -20. Sort c, l, 1.\nAnswer: l, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciicciciiicccccccii. Give prob of picking 1 c and 2 i.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 7*x - 55 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 11*l**4\/6 - 11*l**3\/2 + 30*l**2. Is 5 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -3, 6, -3, -36?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (165\/25 + -5)\/(4\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from dzdddddz.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 24. Suppose -2*y - 5 = -4*y + p*z, -4 = -4*z. Suppose -f + y*q + 20 = 3*f, -4*q = -3*f + 20. Sort f, 5, -0.5.\nAnswer: -0.5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73518*m**3 + 6*m**2 - 18 + 73516*m**3 - 163*m**2 as y + g*m**2 + t*m + q*m**3 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 8*i + 11. Let x be g(8). Suppose 0 = -2*a - 4*z + 24, -3*z - x = -5*a - 3. Let c = 47\/2 - 21. Do c and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujg. Give prob of sequence gj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*g - 23 + 5 = 0, 3*z - 27 = -5*g. Sort -2\/9, z, 1\/8 in ascending order.\nAnswer: -2\/9, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19213*b + 38359. What is t(-2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10094 + 1\nAnswer: 10095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 5741*k + 412553. Give z(-71).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpt when three letters picked without replacement from {x: 2, p: 1, u: 2, t: 1, n: 2, s: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224 + 378. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1 + j**2 + 9 + 0*j**2 - 8*j. Let x be (12*1)\/((-6)\/(-4)). Is r(x) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.317 - 43.6. Let j = -0.283000744 - b. What is j rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -3*j**4\/8 - 2*j**2. Let d(p) = -p**2 - 10*p - 14. Let v be d(-8). Let z(s) = s - 2 + 2 + v*s. Determine i(z(l)).\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61867 and 4.\nAnswer: -61863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -60\/539 and -143\/125832.\nAnswer: 1384152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 354113371 and 1100.\nAnswer: 354114471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from riirrrtit?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 2*d - 2*o - 8, -3*d - 3*o = -12. Suppose 0*v - v = 5*m - 10, -m + 2 = -v. Let f(u) = -17*u + 0*u**2 + 6*u + 7*u + u**m. Calculate f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**5 - 200733*z**3 + 4*z**2 + 81156*z wrt z?\nAnswer: -300*z**2 - 1204398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29067399311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 11:17 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2835 and 1260.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v*v**(-10))\/v)*v)\/v)\/v)\/v**(-2\/5))\/((v*v*v**(-1\/10)*v)\/(v*(v*v**(4\/9))\/v)) assuming v is positive.\nAnswer: v**(161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231184606, 231184608, 231184610, 231184612, 231184614, 231184616?\nAnswer: 231184618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/16))**36\/(i**(-16\/5)*i\/(i\/(i**(-8)\/i))))**(-11) assuming i is positive.\nAnswer: i**(-3179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*k - 4. Suppose -108 = -0*q - k*q. Factor 3*o**3 - 6*o**3 - 81*o + 0*o**2 + 81 + q*o**2.\nAnswer: -3*(o - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28634.\nAnswer: 2, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 47*j**2. Let z(h) = -45*h - 19. Determine f(z(q)).\nAnswer: 95175*q**2 + 80370*q + 16967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d8 (base 15) to base 5.\nAnswer: 10103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -27.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 494*a**2 - 2. Let f(b) = -22230*b**2 + 91. Give 2*f(o) + 91*m(o).\nAnswer: 494*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2358*r + 1606*r - 21056 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3303882\/715 = 4621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 - 3) + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1220115.\nAnswer: 122011.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**2 + 62*x - 1233. What is h(-15)?\nAnswer: -3513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:59 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1720a (base 11) to base 12\nAnswer: 12016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 2.47 (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18371 is divided by 1688?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - u - 6 = -4*u, -2*u + 10 = 0. Factor -3*s**5 - 4*s**3 + 8*s**4 + 2*s**2 - s**3 - 2*s**j.\nAnswer: -s**2*(s - 1)**2*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1 + 3 - 2 + 1 + (0 - 2 + 0)*(5 - 3 - 1) - 7 + 3 - 3)*(2 + 3*j**2 - 2) to the form d*j**2 + y*j + h and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g = -41*g + 171 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2 + 44. Let q = 363 - 282. Let x = q - d. Calculate the greatest common divisor of 280 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + -5 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83764525, 167529056, 251293587?\n\"Answer: 83764531*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/((-88)\/66)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/50)\/((-2)\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/981 and 33\/10?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (738*j + 473520 - 473520)*(2 - 2*j - 2).\nAnswer: -1476*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3) - (-2)\/1. Let i be (-93)\/((-1)\/4 + 5\/5). Let t = i - -128. Put 1, n, t in decreasing order.\nAnswer: t, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.323354 months in centuries?\nAnswer: 0.003602795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 - 537908*d\/5 - 1075836.\nAnswer: (d - 537918)*(d + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 32556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let n be q(2). Solve 5*i - 15 = -5*f, -9 = -3*i + n*f + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6957486 and 3092216?\nAnswer: 27829944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15374 and 7514?\nAnswer: 22888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 2*g - 1. Calculate k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 11*f**2 - 26*f - 20. Let x be i(-8). Let d(o) be the second derivative of o**3\/3 + 5*o**2\/2 + 48*o. Give d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*o - 3 + 10, 0 = n + 3*o - 6. Let r be n - -8 - 4 - 3. Solve -3*v = v - r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218 times 648\nAnswer: -141264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1, 7, 346 in descending order.\nAnswer: 346, 7, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q*q*q**(-2\/7)\/q*(q**1)**(2\/41))\/((q\/((q\/(q**0\/q*q))\/q*q))**(-5\/11))**(-46) assuming q is positive.\nAnswer: q**(1080\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**5\/20 - 11*x**4\/12 - 2*x**3 - 2*x**2 - 6*x. Is 7 a factor of c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/(u**(-5)*u))\/u))\/u*u)**(-2\/5))**(3\/2)\/((u**(-1)\/u*u)**14\/(u**(-2\/5))**(-42)) assuming u is positive.\nAnswer: u**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/7 + 67182*q**3\/7 + 501468840*q**2\/7 + 178212467550*q - 1247988808875\/7.\nAnswer: 3*(q - 1)*(q + 7465)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -1480)\/((-54)\/(-1)). Let r = p + 1\/27. Let j = -1073\/5 + 8819\/40. Find the common denominator of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16277930 divided by -3255586?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -184 + 3002*h**3 + 20*h**2 + 9*h + 2975*h**3 - 5978*h**3. Calculate v(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16956 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/2, 1\/5, 2\/9, -4\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 13 + 7. Suppose 3*s - 9 - 39 = 0. Let b = s - u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 100*g**2 + 209*g - 471. Let z be b(102). Solve -84*u = -z*u - 315 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2638*w - 26 = -2639*w, -w = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025879645 to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10666 is divided by 629?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7*b + 238 = 5*j, -b - 211 = -5*j. Let r(g) = 571*g + 1. Let w be r(1). Calculate the highest common factor of w and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -1?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -60. Let z = -57 + c. Let s = -6 - z. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 39. Let i be a(-11). Suppose 0 = 3*q + 4*m - 25, -2*q + 5*m = m - i. Solve 0*r + 2*r + 4*d = -24, 3*d = -q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*g*n*w + g*n - 7105*g*w - 25*g + 3*n*w + 29850*n - 1302*w wrt n.\nAnswer: 102*g*w + g + 3*w + 29850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ltlp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6023\/6 + -1004. Let l be 40\/(-32) - (-1)\/4. Which is the closest to 0.2? (a) x (b) l (c) -2 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 8936.7449?\nAnswer: 8936.3449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -7*t. Suppose t*f = 8*f - f. Suppose 5*m = -f*m. Solve m*p + 2*p = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:07 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 643 (b) -1\/12 (c) 26\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(-66)*(-4433)\/806\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 17779 = -2408 - 3331. List the prime factors of w.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 361207 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 55450194?\nAnswer: -1\/55450194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 679605 = 4*f + 3*k, -5*f + k = 849499. Round f to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - k + 2)*(k**3 - 3*k**2 + 3*k**2) - 126026*k**2 + 126026*k**2 + 19403*k**4 to the form y*k + g*k**2 + a*k**3 + v*k**4 + h and give v.\nAnswer: 19402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-12) - 6\/36. Let d be (-11)\/44 + ((-18)\/(-8) - t). Suppose -2*g = 4*l + 8, -5*l + d = 5*g - 4. Solve -2*y - y + g = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(234)\/((sqrt(90)\/sqrt(2))\/sqrt(5)))\/(sqrt(14)\/(sqrt(21)\/sqrt(3)) - sqrt(12)\/sqrt(96)) + -1)**2.\nAnswer: -8*sqrt(13)\/3 + 217\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -458, -684, -906, -1124, -1338, -1548?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*m - m. Suppose -m*g - 4*i = 7, 3*g + 2*i + 2 + 3 = 0. Let o be (-6)\/(2*g\/2). Calculate the highest common divisor of 24 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + s**2)*(8*s + 13895*s**2 + 3830*s**2 + 12*s - 20*s).\nAnswer: 17725*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o = 3. Let s be 5*o*(-40)\/(-100). Suppose j + 4 = -4*j - s*f, -j = 2*f + 4. Solve -2*c + c - 1 = j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 566100007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 5*w**2 - w + 5. Let j be q(0). Suppose -13605 = -j*a + 2*h, 2*a - 4*a - 5*h = -5413. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -42632\/5 + 291869\/35. Let q = w - -187. Suppose a + 15 = 2*g, 8 = 5*a + g + 39. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5800 and -64\/28275?\nAnswer: 226200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c75 + -4c?\nAnswer: -3cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*n = 5718 + 18425 - 2319 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 24 + 4. Let x be (v\/6)\/((-6)\/(-153)). Solve 0 = 3*d - 5*k - 24, 5*d - 2*k - 4 - x = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261366, 261256, 261146?\nAnswer: 261036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2 + 2*w - 8. Let h(f) = 8*f**2 - 3*f + 9. Let y(m) = -6*h(m) - 7*r(m). Let a be y(-4). Let q(k) = 2 - 1 - a*k - k. Calculate q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12*u)**(-37) assuming u is positive.\nAnswer: u**(-481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1126*c + 30. Let v(w) = 7880*w + 200. Determine 20*l(k) - 3*v(k).\nAnswer: -1120*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5171 + 0.179. Let b = g - 0.7. Round b to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11527, 11523, 11517, 11509, 11499?\nAnswer: 11487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 18. Let n be l(-15). Let q be (n\/(-3))\/1*(2 - 4). Let y = -17 + q. Solve 3 = y*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 - 6*p**2 + 3*p - 7 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-137353)\/(-10) - (-177)\/(-590)?\nAnswer: 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 - 0.23. Let u = -1.29 - f. Let n = u + 5.2. Which is the closest to 2\/5? (a) -2 (b) 3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 5*i + 4*i.\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/60 + f**4\/6 + f**3\/6 - 2*f**2. Let b = 9 + -12. Determine c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912, 910, 906, 900, 892?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4444338924 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k, 3*d - 3 - 21 = -5*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.04, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -198\/7*n + 3\/7*n**3 + 195\/7*n**2 + 0 = 0.\nAnswer: -66, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {j: 5, m: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/17, -2\/17, -38586, 49 in descending order.\nAnswer: 49, 18\/17, -2\/17, -38586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100000 + -10000011011?\nAnswer: -11100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 142, 313, 532, 787, 1066?\n\"Answer: -2*s**3 + 42*s**2 - s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 1470.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*m**4 + 3*d**3*m**3 + 27*d**3 + 2*d**2*m**2 + 2*d*m**4 - 3*m**2 wrt m.\nAnswer: -48*d**3*m + 18*d**3 + 48*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 7. Let n be g(3). Suppose i - 3*i = n. Calculate the remainder when (988\/65)\/(i\/(-5)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044032 rounded to 5 decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3176 and 2376839?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3138371 (base 9) to base 3.\nAnswer: -10011022102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -801 or -25?\nAnswer: -801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -96*o**2 - 37*o + 46. Let n be q(-7). What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168610 to the power of 1\/2, to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/78 and 115\/48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 - 6404*n**2 - 2*n + 6404 = 0.\nAnswer: -1, 1, 3202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390944688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w - 4*o + 1, -3*w - 5*o = -10. Suppose -4*f + 4*l + 9 = -15, -3*f + 4*l + 22 = 0. What is the least common multiple of f and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*x - 3 + 4 + 3*x**4 + x**2 - 5*x in the form n*x**2 + t*x**3 + j*x + c*x**4 + q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(6 + (2 - 2)). Let h(k) = 6*k + 36. Let z be h(p). Put z, -1, -3, -13 in ascending order.\nAnswer: -13, -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -312 + 318. Let m(y) = -y - 2*y**3 - 1 + y**2 - y**3 + 0*y**3. What is the smallest common multiple of m(-1) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from rroorooro.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) + 14\/5. Let k(j) = j**2 + 3*j - 2. Let b be k(-4). Let f(c) = 4*c**b - c**3 + 4*c**3 - 4 + 3*c - 2*c**o - c. Give f(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*q = -10, 7*q - 10 = -26*x + 25*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zthtfjttthtth. Give prob of picking 1 h, 1 j, and 1 f.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 581110 - -183790. What is s rounded to the nearest ten thousand?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/5 (b) -8 (c) -3 (d) -50463 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2317\/3 - -772. What is the third biggest value in -1\/6, i, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-880))\/(((-3168)\/(-363))\/(-48))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 33. Let w = -10 - j. Let o = w - 15.0000121. What is o rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/(1*9\/(-45)*-6)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1)\/((-4)\/10)*(-12)\/6. Let s(a) = 6*a**3 - 3*a**2 + 2 - 6*a**2 - 7*a**3 + 0*a**2 + 10*a. What is s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67\/5, 5, -0.1, 2.2, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52605018\/(-63) + 4\/14. Round r to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-40)*28\/(-70)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2301171*c**4 - 2284*c**2 + 156*c?\nAnswer: -55228104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 1 b when three letters picked without replacement from vfzvbwvvfzvfvwvfo?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 6:52 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 12*h - 24. Give i(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21678115127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8379 - -11602. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12029 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:01 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 200\/(-75)*6\/20\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 2. Let z be j(2). Suppose -21 = z*p - 73. Let a = 72 - 47. Calculate the remainder when a is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 + (-80)\/(-300)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 2804736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 59335.36 and -4.\nAnswer: 59331.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 226.\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 4, q: 4, w: 2}. What is prob of sequence tqw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 + -135.8. Let n = 0.8 - 2.6. Let r = b - n. What is the nearest to r in -0.1, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52499702.\nAnswer: 2, 73, 359587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 8 - 9)*(19*v + 13*v + 3*v) to s*v + p and give s.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8122763.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12100 + 12100 - 186*a)*(a**2 - 4*a**2 + 2*a**2).\nAnswer: 186*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11566245 - 6?\nAnswer: -11566252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -124. Calculate the highest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119502920*w**4 - 177451497.\nAnswer: -478011680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336 - -1?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -467578 smaller than -467580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/6 + m**3\/6 + 7*m**2\/2 + 56*m. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 6566.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 z, and 1 g when four letters picked without replacement from ohgajjhhohhhzhhga?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 - -10101000?\nAnswer: 11001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 140744912 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8450 - -38082. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59836.14 meters to centimeters.\nAnswer: 5983614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**6\/12 - 7*n**5\/2 + 161*n**4\/4 - 127*n**3\/3 - 323*n**2\/4 + 289*n\/2 - 22. Find j such that p(j) = 0.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 23 + 55. Let i be ((-510)\/(-75))\/((f\/(-10))\/2). Suppose -i = 3*n - 26. Calculate the lowest common multiple of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2095 (b) -11 (c) -255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21047.\nAnswer: 13, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -4*k - k. Let g = 58 + k. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqpp when four letters picked without replacement from xkpxqkpqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -98291994.4 plus 174?\nAnswer: -98291820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*b + 25, 3*r - 3 = 3*b + 12. Let x(d) = -d**3 + 5*d**2 - d. Let a be x(r). Let g = a + 5. Which is smaller: g or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 1. Let s(v) = -19*v**2 + 4*v - 4. Let u(z) = -4*n(z) + s(z). Let a(b) = -2*b**2 + 0*b**2 + 4*b**2. Determine a(u(j)).\nAnswer: 722*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 + 205528*f**2 + 6374980*f + 11927816 = 0. What is f?\nAnswer: -29, -2, 51413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - x - 200. Calculate the greatest common factor of x and 535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 - 100*c**3 - 1615*c**2 + 32490*c = 0 for c.\nAnswer: -18, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2052 divided by -3\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 115*u**2 - 24*u + 73 + 82 - 128 + 31. Is q(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*r + 5*z - 13 = 730*r, -r - z = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a microsecond in nanoseconds?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 54*o + 33*o**4 - 4 + 41*o**4 + 48*o wrt o?\nAnswer: 888*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 468 + -343. Which is bigger: 371\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 6) to base 16.\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 147*q - 19. Let w = -478 - -443. Let j(k) = 882*k - 119. Let i(s) = w*o(s) + 6*j(s). What is the derivative of i(d) wrt d?\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skassddkddaaia. What is prob of sequence dakd?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + o**2 - 10*o + 2. Let l be r(0). What is the greatest common divisor of 361 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from tvvvvtdztdd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4*g + 6*g = 5*g, g = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1570571\/60 + 26175. What is the common denominator of 57\/200 and l?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -102 + 48 - -56.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba0 (base 13) to base 2.\nAnswer: 11111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -97, -163, -265, -409, -601, -847, -1153?\n\"Answer: -n**3 - 9*n**2 - 2*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - p - 38 - 26, -2*y + 3*p = 28. Let q be 360087\/y - (-1 + 0). Let b = q - -18007. Find the common denominator of -61\/16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/88 and -47\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72583 is divided by 150?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1814*y - 1806*y + 3637*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4884 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47165 - 47083. Calculate the remainder when c is divided by 21 + (1 - (2 + -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + y + 1. Let l(t) = -2*t**3 - 5*t**2 + 8*t + 5. Let x(i) = i**2 - 3. Let w = -43 - -45. Let o be x(w). Give o*l(k) - 5*d(k).\nAnswer: -2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37771, 37812, 37925, 38152, 38535?\n\"Answer: 7*h**3 - 6*h**2 + 10*h + 37760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3286 and 16960.\nAnswer: 525760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 52, 73, 94, 115?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -55*p**7\/14 - 74*p**3\/3 - 55*p. Find the second derivative of v(a) wrt a.\nAnswer: -3300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625787909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 29*v + 28*v + 121*v - 35*v + 66*v + 1.\nAnswer: 209*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-50)\/(-25) + 164\/(-14)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + (sqrt(70) - sqrt(70)*1) + sqrt(70))*-6 - (sqrt(70) - (sqrt(70) - (sqrt(70)*-3 - sqrt(70)))*-5))\/(5*(1*sqrt(360))\/sqrt(4)) + 5.\nAnswer: -13*sqrt(7)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -999672 + 999696. Calculate the remainder when 2 + -1 - (-1 - 68) is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2544 and 29.\nAnswer: -73776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*(-3 + -42). Suppose -i - 24 = -x. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 12*i - 7. Determine x(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from nxnyonnokoo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240239020 by 4.\nAnswer: 60059755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 48*o + 3 + 3)*(3 - 1 - 5)*(-3 + 3 - 1 + (5 - 6 + 2)*(-4 + 0 + 2) + 7 - 27 - 26) in the form a + n*o and give n.\nAnswer: -7056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-q + q + q) + 3 - 2 - 3*q - 2 + (9*q - 3*q - 2*q)*(-2 + 4 - 4).\nAnswer: -13*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*o - 354 = -1722 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from zmbbmhbmhmbzbzb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*3\/(-6)*0. Let f = k + 62. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 54*k**2 - 342*k - 476. Let m be l(60). Calculate the highest common divisor of m and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -3. Let s(c) = p*c - 2*c**2 - 1 - 2 + c**2. Let g be s(6). Sort 1, g, 5 in descending order.\nAnswer: 5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 542*d - 6506. Determine z(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32754787 is divided by 1826.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x - 1. Suppose 55 - 62 = 7*f. What is y(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-9))\/((-1)\/(-1)). Suppose 3*t - 171 + 45 = w. Suppose 4*k = -k + 55. Calculate the remainder when t is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2 + 2 - 11*o - o**2 + 1 - 1. List the prime factors of q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let a(l) be the third derivative of 0*l**4 - 7\/10*l**5 - 1 + 22*l**2 + 0*l + 0*l**3. What is f(a(d))?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 26*g**2 - 394*g + 398. Determine r(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*p + 29 + 181 = 0, -4*p + 350 = -5*z. What is z rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 2, j: 1}. Give prob of sequence nwn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -17*q**2 - 1. Let v(t) be the second derivative of 0*t**2 + 0 - 1\/6*t**4 + 0*t**3 + 17*t. What is v(g(w))?\nAnswer: -578*w**4 - 68*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 4*d**2 + 17*d - 3. Calculate y(6).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 170*v**2 - 3014*v + 713. Determine m(100).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900124*a + 448052*a + 450262*a.\nAnswer: -1810*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 4*s + 833*s - 3*s**2 to the form f + j*s + u*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 = -1. Suppose 2*r = 5*m + 21, -u*r - 2*m = -7*m - 30. Suppose -r*w = 4*k - 9*k - 35, 23 = 3*w - 2*k. Solve 6*a - a - w = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, g: 3, l: 1, d: 1, r: 1, p: 4}. What is prob of sequence ggd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012804 rounded to five dps?\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 1:50 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 - -127. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1 = 5. Let w(l) = l**2 + l - 1. Let o be w(1). Let y be a + -2 + 13 - o. Solve 0 = -p - 4, -3*d - p - y = 2*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*w - 4*w**2 - 33*w + 11*w**2 + 61*w.\nAnswer: 7*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*m - 239 = 0, 10*m - 7*m + 976 = 4*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3232536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49072548 is divided by 1090501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2.23, 804.6?\nAnswer: -2.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 237736905?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2 - 40*r. Let n(i) be the third derivative of -i**5\/60 + i**4\/3 + 670*i**2 - 1. Determine -11*n(c) - 2*p(c).\nAnswer: -c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 364845171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -528, -712, -896, -1080, -1264, -1448?\n\"Answer: -184*y - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 - i + 340. Let z be q(0). Suppose -38*x - 972 = 7008. Let c = z + x. What is the remainder when c is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 22 - (-4 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1983 = -i + f, -5941 = -10*i + 7*i + 5*f. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 27. Calculate the highest common divisor of 39 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36616 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 384966*w. Let n(d) = -3*d - 54. Give n(u(z)).\nAnswer: -1154898*z - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 + 1)*(522\/(-63) + 8). Solve -8 + 28 = f*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 93.\nAnswer: -11\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 3*h**5\/20 + 25*h**4\/2 + 690*h**2 + 2*h + 157. What is the derivative of m(l) wrt l?\nAnswer: 9*l**2 + 300*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*t - 22, 19*f - 3 = 18*f. Suppose -5*z - 4*h - 8 = 0, 0 = -t*h + 5 - 15. Sort z, -5, 1, -6.\nAnswer: -6, -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 4*o + 5. What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1703520, -1703500, -1703482, -1703466, -1703452?\nAnswer: -1703440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 295541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 131959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(3))*6 + -1) + (-2 + (sqrt(3) - sqrt(48)) - sqrt(3)) + sqrt(36)\/(3*sqrt(12)))**2*5.\nAnswer: 5590*sqrt(3)\/3 + 11780\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*l + 86 = 2*s, -s - l - 29 = 0. Let c be (-2 - s)*(-8)\/(-16). Solve 2*p = 4, 4*p = -2*h - p + c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -259*z + 593. What is u(1)?\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149568 by -912.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 69 = 15. Let l = b - -32. Solve 4 = -3*z - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 36954032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -33 - -3) + (-24 - -8) + 62?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -53*z + 692. Let h be m(13). Let w be (-2 + 3)\/((-2)\/(-8)). Which is the second smallest value? (a) h (b) w (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9897212 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 560856996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-10))\/(-17)*156\/26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvqdvvvvdvvvdvdvggv. Give prob of sequence vvqv.\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 503 + 575. Calculate the highest common factor of t and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -6.899594.\nAnswer: -75.895534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 161*x + 20611. Let n be t(-128). Find y such that 18\/7*y - 2\/7*y**n + 54\/7 - 6\/7*y**2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -443*s**4\/6 - 13*s**2 + 2*s - 41. Let f(g) = -2*g**2. Calculate y(f(l)).\nAnswer: 3544*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18502013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3083340 and -10\/1273.\nAnswer: 58583460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6)\/w)\/w*w**(2\/7)*(w\/(w\/(w*w**(9\/5))*w))\/w*w*(w*w**6)\/w)**(-27))**35 assuming w is positive.\nAnswer: w**(-1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 11*c**2 - 2*c + 25. Let n be u(11). Solve -18 - n = -7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**3*u - 3770181*g**2 - 328935*u - 163 wrt g?\nAnswer: -6*g**2*u - 7540362*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 + 18*b - 21. Let u be f(4). Solve -u*x + x + 5*c = -24, -4*x = 3*c + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 5. Let x be m(6). Let a = -9 + x. Does 5 divide (-288)\/(-15) - 2\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7704 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 977000 to the nearest 10000.\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 6 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 6277. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9119716 times -6\nAnswer: 54718296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6018 + 6014.011. Let m = 94.9 - 91. Let s = z + m. What is s rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:03 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-7))\/(216\/28 + -7))\/((-7880)\/44325).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/9 - 1108*v**4\/9 + 68146*v**3\/3 - 12561692*v**2\/9 - 204440*v\/9 + 4187600\/3 = 0.\nAnswer: -1, 1, 174, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1454 = 4*d, -d + 303 = 4*v - 57. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - (-183)\/(-12). Let j = -41 - q. Let i = -14 - j. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579219 is divided by 1661?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) -0.2 (c) -4.1 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 0 + 3 + -3. Suppose z*g - 4 = 3*t + 6, 3*t + 2*g + 17 = 0. Let v(l) = -3*l + 6. Is v(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 4*y**2 + 4. Let j be u(-3). Let z be (-1 - j)*42\/56. Find the third derivative of 2*g**2 - 4*g**3 + g**2 + 0*g**2 + 5*g**z wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -244, 1477, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 + 12*k + 9. What are the prime factors of h(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 5*o - o)*(-4 + 5 - 2)*(2*o - 2*o - 7*o + (-3 + 7 - 2)*(2*o - o - 2*o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/6 + 6*j + 8. Let t(w) be the first derivative of i(w). Let v(g) = 1 - 1 + 4*g. Give v(t(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*x + 9068, -31*x = -v - 35*x + 1804. List the prime factors of v.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**2 + 3*a + 6. Let c = -15 + 17. Let n(q) = q + q + 8 - 2*q**2 - 3 - 3*q**c. Calculate 5*n(h) - 4*v(h).\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8738 + -0.1262. Which is the nearest to -163? (a) 0 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1104044134 (base 5) to base 2\nAnswer: -1001001100001101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1967\/528 - 257\/33. Let z = -353713\/132 - -5359\/2. Calculate the common denominator of c and z.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -6\/29 (c) 15 (d) -4 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20266, -81083, -182482, -324463, -507026, -730171, -993898?\nAnswer: -1298207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.72 + -7.72. Which is the closest to -55? (a) t (b) -4 (c) 1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 31*t - 19. Let p(v) = -147*v + 91. Let g(q) = 3*p(q) + 14*y(q). Determine g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.4 rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -2, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*y + 23 = -0*v, 3 = -3*v - y. What is the tens digit of (-2 - -3)*(v + 124)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 11 = -2*u + 14, 5*u = -2*x + 40. Suppose 12*a - u*a = 4*p + 414, 2*a + 5*p = 378. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114340109.\nAnswer: 13, 8795393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32069, -36591, -44129, -54683, -68253, -84839, -104441?\nAnswer: -127059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4*k**2 - 92843981*h**2*k**3 - 14*k**3 + k**2 - 17*k - 611 with respect to h.\nAnswer: 4*h**3*k**2 - 185687962*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 17*y - 15*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136911847 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3*j**3 - j)*((2*j - 5*j - 12*j)*(-1 - 3 + 3)*(2 + 0 - 3) - 8*j + 13*j + 9*j) + 3*j**4 + 3*j**4 + 0*j**4.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1674*h**2 + 1673*h**2 + 8 - 3*h - 6*h. Let k be y(-9). Suppose 0 = 6*s + 15*s - 84. Solve 3*o - k*o + 5*q - 5 = 0, -s = 4*o + 5*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -871, -857, -827, -775, -695, -581, -427?\n\"Answer: r**3 + 2*r**2 + r - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 179614 and 268.\nAnswer: 179882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9467 - 12008 - 14150 = 625*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1368\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u*u**(-32))*u*(u**26\/u)\/u)\/((u\/u**27)\/(u\/(u*(u\/u**29*u)\/u))) assuming u is positive.\nAnswer: u**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/3)\/m*m*m**(-3\/8)*m)\/((m\/m**(-2\/9)*m*m*m)\/(m*m**(-4\/3)*m))*((m*m**(3\/8))\/(m*(m**(-1\/5)*m)\/m))**(5\/9) assuming m is positive.\nAnswer: m**(-23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 902*i**2*u + 4*i**2 + 279*u + 165677 wrt u?\nAnswer: 902*i**2 + 279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192*x**3 + 1230*x**2 - 49*x**3 - 1233*x**2 + 404*x**3.\nAnswer: 1547*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006335 rounded to 4 decimal places?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 - p + 2. Let r(o) = 12*o**3 + 63*o**2 - 21*o + 30. What is -15*l(h) + r(h)?\nAnswer: -3*h**3 + 3*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 211*g - 45. Give o(-212).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o + 19517640 = 21*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 25*m**2 + 7*m + 6. Is j(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 51*n**2 - 2. Let i(m) = -10*m**2 + 7. Calculate d(i(v)).\nAnswer: 5100*v**4 - 7140*v**2 + 2497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.113 - -0.613. Which is the fourth smallest value? (a) 1 (b) 3\/4 (c) -2\/9 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -325, -583, -839, -1093?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 310 - 56. Let y be (3 + -2)\/1*0. Suppose y = 3*w + 5 - b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27733.\nAnswer: 27733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h**2 + 0*h - 1\/16*h**4 + 3 + 0*h**3. Solve z(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2. Let k = -46 - -65. Let d(i) = i + k*i - 20*i - i**2. Give g(d(p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 14. Let f(t) = t**2 - 5*t + 12. Let h be f(5). Let n be d(h). Solve -n*k - 10 = -7*k, -k - 6 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/416904 and -95\/348.\nAnswer: 416904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 34*o - 33. Determine n(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 - 2*r - 6. Suppose 0 = q + 4, q + 2 = 4*y - 14. What is the remainder when 44 is divided by w(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*a + 4*a - 20, 8 = -2*a. Suppose y - i = -3*y. Solve 8 = y*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.4368 * -0.7.\nAnswer: -8.70576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**8\/1344 - x**7\/1260 + x**5\/120 + x**4\/12 - 3*x**2. Let w(a) be the second derivative of k(a). What is w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -144\/883469?\nAnswer: -144\/883469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-6)\/2 - -3). Let i(d) = -d - 9 - 3*d**2 + 0*d + 8 + 12*d**p. What is the tens digit of i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 7:04 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151402 is divided by 8222.\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/3)\/(8\/(-276))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 - (-22)\/(-28). Let g = -5.9 - 1.1. Let t = 3 + g. Sort -5, t, a in descending order.\nAnswer: a, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13210033121 (base 4) to base 15.\nAnswer: -292a4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 65*w + 42*w + 50*w - 2 in the form q*w + f and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-9))\/((-6)\/(-9)). Suppose -b = -j*f + 17 - 1, f = -4*b + 21. List the prime factors of 14\/b*280\/98.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750\/(-450)*4\/(-30).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/110 and -73\/45.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -4 (c) -224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4*v - 2)*(1 - 3 + 5) + 84 + 4*v - 84)*(24 - 5*v + 2 + 7*v).\nAnswer: -16*v**2 - 208*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1. Let n(s) = 2*s + 11. Suppose -33*y = -32*y - 11. Let h = -11 - y. Give h*p(m) - 2*n(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y - 6. Let n(w) = -w + 10. Calculate the remainder when n(7) is divided by 2\/y*12\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 - 9 - (1 - -1). Suppose 4*w = i + 5, -i - r*w = -4*i + 5. Solve -i*o = z - 6, 0 = -5*z - 6 + 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v + 82. Let y be u(14). Let d = -42 - y. Solve q = d + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 1272 = 3*b. Suppose -21*y - 1 = -b. Solve y*t + 2*m = 11 - 4, t + 4 = 5*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6211 - -6213. Solve -5*s + 4*l = -o*s + 19, 5*s + 30 = 5*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 5*s - 3. Let o(z) = -2*z**2 - 65*z + 7. Let x(u) = -3*u**2 - 121*u + 14. Let r(w) = -11*o(w) + 6*x(w). What is -9*h(g) - 4*r(g)?\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 2*c**2 - 3*c + 10. Let k be t(2). What is the third biggest value in 1\/4, -475, k?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -22440303?\nAnswer: 22440310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 0.2, -2\/11, 61.04, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*c + 130 = 0, -3*b + c = -0*c - 187. Suppose 13*d - b - 275 = 0. What is the remainder when 100 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from {c: 1, y: 10, u: 2, e: 1, m: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**2 - 3*r + 2. Let g be d(-2). Calculate the highest common factor of 380 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -362242.34199 - -360754.349. Let g = -1488 - d. What is g rounded to four decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -118 - -3?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/5 - 82*z**4\/5 + 234*z**3\/5 - 46*z**2 + 76*z\/5.\nAnswer: 2*z*(z - 38)*(z - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45279 is divided by 58.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 7 - -8 - 13 - (-6 - 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1449587, 1449594, 1449605, 1449620?\n\"Answer: 2*u**2 + u + 1449584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*m - 180, 0 = 20*m - 15*m. What is the lowest common multiple of 48 and h?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*p + 2*p - 30*p**5 + 17*p**5 wrt p.\nAnswer: -260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 7 - (0 + -2 + 2 - (35 - 27))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 12:12 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eii when three letters picked without replacement from {i: 11, e: 1, n: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 15*d**2 - 267*d - 544. What is s(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 13*d = -9*d - 10, -4*d = q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 17 - 9. Suppose r = i, 2*n + 3*r - 84 = -2*r. Is n > 191\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, 63, 50, 21, -30, -109, -222, -375?\n\"Answer: -a**3 + a**2 + a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128069 is divided by 9137?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5585.7 - 1.\nAnswer: -5586.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -5 + -2 - ((sqrt(156)\/sqrt(3))\/sqrt(4) - sqrt(130)\/(sqrt(20)\/sqrt(2)))) + 4 + 4)**2.\nAnswer: 14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 3*m**3 + 4*m**3 + m - 2*m**3 - m + (3 - 3 - 2*m)*(1 + 2*m**2 - 1) - 7*m**3 + 19*m**3 - 6*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3453?\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + -0.81. Let l = -5.3 + 15.3. Let t = -28 + l. What is the nearest to k in t, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2241111210 (base 5) to base 9\nAnswer: -10400473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5880 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 2*k, 3*c - 5*k - 562 + 531 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 12840?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 35 - 7 = 0. Let f(c) = c**2 + 5*c + 8. Let k be f(y). Find the common denominator of k - (6105\/(-70))\/(-11) and -149\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 + 189 = -8*h. Suppose -18*u + 15960 = h*u. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279530077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 5*r - 31, 3*y = -r + 13. Let g be 3\/6 - y\/(-4)*13. Let c = 24 - g. Solve c*k - k = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633131 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -119\/4 (b) 6 (c) -0.5 (d) 7 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + 1521\/(-91) + 12\/7. Solve 27 = -5*m + 7, 2*m + 16 = -x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077088 to the power of 1\/2, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6172 >= -6118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*-790\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 4)*(25*n**2 - 23*n**2 - 28*n**2) in the form k*n + f + w*n**2 and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7501754*j**2 - 34*j + 19248 wrt j?\nAnswer: -15003508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.24, 1, 0.4, 38?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -58 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b - 4*b + (-4*b + 4*b + 7*b)*(-2 + 2 - 1) - 34*b - 6*b - 10*b)*(b**2 + 0*b**2 + 2*b**2).\nAnswer: -177*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 4, u: 4, q: 5}. What is prob of sequence ucu?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3721 - -3721. What is the nearest to w in 4\/5, -167, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4393*h + 4368*h - 8744*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 + 127*m + 18. Let u be y(16). Solve -12 = -2*w + 4*b, -3*w + 5*b + 6 = u*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**3 - 14*v**2 + 6*v + 3. Let z(i) = -13*i**3 - 27*i**2 + 11*i + 6. Calculate 11*d(g) - 6*z(g).\nAnswer: g**3 + 8*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 12, -1\/7, -4, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(19) + 4 + sqrt(114)\/sqrt(6) + -5)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76971900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzbpprpzrrzprbbrrzf. Give prob of sequence bp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 613 - 611. Solve 3*l + 3*z = 24, c*l + 5*z - 7 - 24 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/12 - z**3 + z**2 + 3*z. Let l be q(-6). Solve r - 3 = -l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*a - 1815*a**2 - 33*a - 38*a.\nAnswer: -1815*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5727228.8+-0.3\nAnswer: 5727228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31115, -62218, -93297, -124340, -155335, -186270, -217133, -247912?\nAnswer: -278595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*r - 373*r - 3*r**2 + 140*r = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -149313 = -149313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 6. Let r(u) = 2*u**2 - 5. Let v(h) = 6*r(h) + 5*y(h). Suppose 3*b = 10*b - 14. Let q(n) = -18*n**2 - 17*n**2 + 62*n**b. What is q(v(z))?\nAnswer: 108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12 - 10) + 19 - 28) + -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - ((-5 - -8) + (-5 - 1)). Let w(v) = v**3 - 2*v**2 + v - 7. Let m be w(b). What is the greatest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = -8*y. Let p(q) = q**3 + 2*q**2 + 3*q - 4. Let c(f) = f**2 + f - 1. Calculate y*p(l) + 4*c(l).\nAnswer: -l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25 = -5*c, 3*c - 26 = c + 2*w. Suppose -6 = 5*v - c*v. Suppose p = 3*d - 0*d - 3, -d - v*p = -8. What is the highest common factor of d and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2131 = 25*b + 2594. Let d = b + 193. Solve -3*w = d*q - 7 + 16, 2*w = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 36. Let u = -7 + 15. What is the remainder when u is divided by (18\/f)\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y + 374 = -28*y. Let x(b) = -b**3 - 4*b**2 - 5*b - 3. Let k be x(-3). Calculate the remainder when y is divided by 1\/(k\/18 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 279*l. Let k(j) = -j**2. Determine k(x(u)).\nAnswer: -77841*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 1084*t + 12116. Determine x(11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*y + 41*y - 371 + 45*y - 126*y - y**2 to o*y**2 + k*y + x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 248*x**3 - 9804*x**2 + 158840*x - 919106.\nAnswer: -2*(x - 67)*(x - 19)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 5*a**2 - a**2. Let k(f) be the second derivative of 3*f**4\/8 + 7*f**2 + 11*f. Let l(o) be the first derivative of k(o). What is q(l(n))?\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.97 * -1069790.\nAnswer: -1037696.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 + 8)*(-4 + 2 + 6)*(3378 - 1620 - 3536)*(-1 + 1 + 2*r) in the form m*r + b and give m.\nAnswer: -113792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35169044 divided by -17584522.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -23*q**3 - 600*q**2 + 9*q + 9. Let l(r) = -13*r**3 - 300*r**2 + 5*r + 5. Determine 9*l(k) - 5*z(k).\nAnswer: -2*k**3 + 300*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12478678\/355005 - -134\/15435. Let f = -22\/115 + x. Let n = f + 35. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7 = -m, 35 = -5*m - 0*m + 5*n. Let q(b) = -b**2 - 2*b + 5. What is q(m)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013010 divided by -5?\nAnswer: 202602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 2. Let s(u) = 4*u - 7. Suppose -i = 4*p + 67 + 18, 4*p - 3*i + 97 = 0. What is p*q(l) + 6*s(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 84*m**2 + 229*m + 213. Give z(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 4, q: 9}. What is prob of sequence bb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 2344859843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (197 - 204) + (-153)\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92076063881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132 + -1?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2*(-3)\/18). Let h(p) = -2*p**2 + 9*p + 3. Let i be h(l). Which is greater: i or -43?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10381 + 10383. Solve -4*n = -4*b + 4, -127*n + 126*n = f*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(-1*10\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or -0.018?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288530 is divided by 41215?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -212?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30087192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.9 (c) -0.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x**2 + x**3 - 2*x**2 - 76*x + 71*x - 1. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 7*z + 168. Suppose 4*f - z = -2*g, -f + 0*g + 20 = g. Calculate the highest common divisor of 176 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*j + 5. Suppose k + 422 = 5*k + 5*p, j*p = k - 97. Suppose -k = -h - 14. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*f**3 - 690*f**2 + 285*f + 40 = 0. What is f?\nAnswer: -8\/73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13984*x - 3439*x - 3424*x - 3265*x - 3368*x.\nAnswer: 488*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-15))\/8*3*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 4, -3, -0.014?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1) + -9 - (-4 + 3)*2. Which is the nearest to 8? (a) -2\/17 (b) -7 (c) 0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 0)\/(180\/(-63)) + (-7)\/(-70). Suppose p*u - 4\/5 - 2\/5*u**3 - 1\/5*u**4 + 3\/5*u**2 = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 - g + 6. Let x(w) = 6*w**2 + w - 7. Let r = -8 + 3. Determine r*f(h) - 4*x(h).\nAnswer: h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 1399988 = r - 3*n, -n = 3*r - 4200004. Round r to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 957 (base 11) to base 12\nAnswer: 7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 + 25 = v, o = 4*v - 110. Let k(s) = 13*s - 25. Let q be k(17). Let x = 198 - q. Solve 5*d + v = -x*f, 2*d + 8 = -f + 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 7)*(5*s**2 + s**2 - 4*s**2) + (2*s + 0*s + 0*s)*(2*s - s - 2*s) - 1 - 2*s**2 + 1 + s**2 + 0*s + 0*s + (-2 + 2 + s)*(14*s - 20 + 20).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(45)\/(2*sqrt(5))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - g + 1. Let p(h) = -14*h**2 - 2*h + 2. Calculate 2*k(o) - p(o).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2748\/(-10))\/((-6)\/15). Suppose 5*y + v = -32628. Is (-12)\/(9\/3)*y\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 302, 555, 736, 809, 738?\n\"Answer: -6*f**3 + 295*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3 - 5. Let w(j) = j**2. Give m(w(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1.6444.\nAnswer: -6.5776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5*s**4\/2 - s**2\/2 - 86*s - 96. What is the first derivative of o(g) wrt g?\nAnswer: 30*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209612*s - 208884*s = 30576 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14398276.\nAnswer: 2, 19, 23, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -85 * -2.33\nAnswer: 198.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f**2 + 2*f + 3. Let o be d(-2). Let s be (1 - (o + 0)) + 6. Solve 4*v + 17 = c - 2*c, -8 = -s*v + 4*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*y + 18 = 0, 5*y + 7 = -8. Let t(f) = 4*f - 2. What is t(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 h when three letters picked without replacement from {q: 5, h: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -914 + 2*n + 13*n**5 + 23*n**5 + 929 wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 4:34 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010344314 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114)\/sqrt(2))\/((-1*sqrt(36))\/sqrt(12) - sqrt(3)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.5 - -38.5. Let d = 14 - 13.8. Let j = d + -0.2. What is the nearest to x in 0.3, 1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.071 (b) -2\/21 (c) 3 (d) 1068 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 3876892355?\nAnswer: 3876892355.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38434 times 576\nAnswer: 22137984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (5 - (-16 + 25))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8149770 rounded to the nearest 10000?\nAnswer: 8150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (-2 - -2) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -211100202222?\nAnswer: -211100210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 0)*9*(-17)\/17. Which is bigger: -55 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 17*n**4\/24 + 49*n**2. Let v(u) = 2*u**2. What is v(o(p))?\nAnswer: 578*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*c + 7*c - 9, 4*c - 3 = 3*g. Let l(r) be the second derivative of r**5\/20 - r**4\/6 - r**3\/3 - r**2 - 7*r. Calculate l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21*2\/30 + (-209)\/285. Let g = 1 - 1. Let n = -2 + g. Put n, 2, i, -3\/8 in ascending order.\nAnswer: n, -3\/8, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*g**2 - 1118 + 2185 - 1067.\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.4, -7942.\nAnswer: -7942, -0.7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 9, k: 6, y: 3}. What is prob of picking 1 y and 1 e?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = -3*i. Suppose -l + 12 = 5*x + 37, -i*l - 2*x - 10 = 0. Let r be (-37)\/(-7) + 2\/(-7). Sort 2, l, r in ascending order.\nAnswer: l, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 95\/(-19)*(-1)\/1. Solve -z*b + 10 = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301530253?\nAnswer: 23, 181, 72431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -5836.5389\nAnswer: 2334.61556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 4, y: 3, o: 1, g: 2, c: 8}. What is prob of sequence ytat?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.59578 millennia to centuries.\nAnswer: 615.9578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) - 1*sqrt(576)) + (sqrt(209) + sqrt(209)*-1*-4)\/sqrt(11) + (sqrt(1900) + 2 + -1*sqrt(19) + -3)**2*-6.\nAnswer: -9240 + 790*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*i + 79, -5*i - 68 = -4*d - i. Suppose -q = -2*q + d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(19) - (sqrt(19) + 2)*-1 - sqrt(152)\/sqrt(128))**2)*-4.\nAnswer: -915\/4 - 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -82. Let x be (-2)\/8 + (-170)\/f. Suppose 2*l + 38 = x*l. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2\/7 (c) -10\/49 (d) 15 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8372 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 775960693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/2 - 3*p**2 + 6*p - 28. Let l(h) = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 164*w**3 - 3468*w**2 + 10908*w + 36936.\nAnswer: 4*(w - 9)**2*(w + 2)*(w + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 10*k**2 - 38*k + 14. Let j be a(-13). Is 0.02 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-6))\/((-7)\/(280\/(-75))))\/(3132\/(-174))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29700, -29706, -29714, -29724?\n\"Answer: -g**2 - 3*g - 29696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r + 0 - 1 + 9 - 9. Let q be d(1). Suppose i + 24 = q*i. Solve -4*k = -k - i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5204341 - -5?\nAnswer: 5204350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 929000 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 42 = 8*u, -82 - 49 + 200 = -4*u - 5*w + 99 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 230 - 104 - 126 + n**2. Let d(m) = -1050*m. Let x(l) = 25*l. Let a(i) = -6*d(i) - 250*x(i). Calculate a(t(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 1, o: 7, p: 1, e: 3}. Give prob of sequence eep.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:27 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - 1 - 1) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 46*o - 112. Solve -4*r - 28 = o*c, 2*c = 8*r - 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 9*x**2 - 4*x - 7. Let f be q(-6). Suppose -128*n = -f*n - 378. Let m = n + -94. What is the smallest common multiple of 20 and m?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 5*g**2 + 2*g + 6. Give l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-27)*(342\/(-72))\/(-19)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39109903?\nAnswer: 7, 5587129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20422188 and 438?\nAnswer: 20422188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 38. Suppose g = r + 3*r. Suppose -h + 14 = p + 3*h, -2*p - r*h = -19. Solve 5 = -5*y, 0*n - n = -3*y - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -21. Suppose 5*a = c + 13, 1 = 3*a + h*c + 4. Suppose 77 = z + a*d, -2*z - 2*d + 35 = -121. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((448\/(-42))\/8)\/(((-10)\/(-6))\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.149? (a) -1 (b) -24 (c) 4\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785787 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 123. Let o be (3 - 4) + -20 + 3. Let v = o - -37. What is the remainder when u is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 401 - 401. Is q at least as big as 2\/229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 330?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3379 - 10133\/3. Which is the smallest value? (a) -2\/11 (b) -3\/5 (c) g (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 84*d - 88*d - 10*v, 0*d + 5*v + 13 + 15 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 742902.3 decades in years?\nAnswer: 7429023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84267428.\nAnswer: 2, 7, 47, 64033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {y: 1, h: 3, q: 2, u: 5, n: 1, r: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -89*g - 2096. List the prime factors of a(-92).\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*-2*-3. Let d = p - -1. Solve -4*v = -19 + d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let d be s(-1). Suppose -d*r + 50 = -170. Suppose -3*y = -y - r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 41 + 62 = 0. Suppose -8*j - o = -9*j. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - 19. Calculate the common denominator of 31\/20 and 0\/9 + (o\/(-44) - -2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -576 (c) 7 (d) 3\/17 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(-1118)*52)\/(-2*3\/(-45))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22185 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 210, -24, 0, 36 in descending order.\nAnswer: 210, 36, 0, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {m: 7, j: 7, v: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -14*k**3 + 3*k**2 - 6*k + 3. Let c(o) = 28*o**3 - 7*o**2 + 13*o - 7. Give -3*c(s) - 7*x(s).\nAnswer: 14*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4452 and 14151.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3043*n**3 - 481 + 481.\nAnswer: -3043*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*x = -4*w + 57 - 51, 4*x - 13 = 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 39*r**2 + 7. Let n be l(39). Solve -n*g - 23 + 2 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*2 - (-35 - -4). Suppose -4*b = 0, 6*i - 2*b = i - l. Let h be (-44)\/i + (-9)\/((-81)\/(-12)). Calculate the highest common divisor of 54 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. Let x(d) = -d - 4 + 2*d**2 - o*d**2 + 3*d**2 - 2*d**2. Let r be x(3). Solve -r = g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(832)*1 - sqrt(832))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 564.5 (c) -2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -797*v + 797*v - 7*v**4 - 17*v**2 wrt v?\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*i**3 + 269*i**3 - 114*i**3 + (-3*i**2 + i**2 + i**2)*(2*i - 3*i + 2*i).\nAnswer: 89*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1764) - -1*sqrt(1764)) - (sqrt(1764) - -5*(sqrt(1764) - sqrt(1764)*2)))\/(4*((sqrt(108) - sqrt(12))*3 - sqrt(12) - sqrt(12))*6).\nAnswer: -7*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1333*o + 1324*o + 16 - 16.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 3*i)*(-535735*i**2 + 535735*i**2 + 5099*i**4).\nAnswer: 15297*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 59*z - 41 = 79. Let l = -1 + 1. Solve c + 1 = u, 4*c + 8 = -l*u + z*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -61.4226147002?\nAnswer: -61.3226147002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/9, 0.04, 0, 38, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 6. Suppose 19*c - 280 = x*c. Let j be -1396216*185\/c - 8\/14. What is j rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 16. What is the common denominator of 81\/8 and ((-344)\/h)\/(1\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1383*g**3 - 128*g**2 - 154869*g.\nAnswer: 8298*g - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2500, 5 in descending order.\nAnswer: 2500, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000124507 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i = -252. Suppose -805 = -i*j + 119*j. List the prime factors of j.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1830 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227 by 1.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 67, -3 in ascending order.\nAnswer: -4, -3, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -7\/19 (c) -5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535036.\nAnswer: 2, 181, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 12*w**2 - 3*w + 3. Let x be (3\/(-2))\/(-3)*(-1356)\/113. Let v(c) = 4*c**3 + 49*c**2 + 13*c - 13. Give x*v(i) - 26*l(i).\nAnswer: 2*i**3 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -24317236 and -4288.46.\nAnswer: -24321524.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -520*b*m**2 + 12*m**2 + 19*m wrt b?\nAnswer: -520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + n + 11 = 19, 5*c + 3*n = 3. Solve c*d = -5*j - 9, 2*j = 5*d - 2*d - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**5 - 34*o**4 - 9*o**3 + 12*o**2 + 1708*o - 2 wrt o?\nAnswer: 60*o**2 - 816*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -12 + 28. Suppose 3*k + 15 - 42 = 0. Suppose -5*d = -k*d. Put d, a, -4, -5 in descending order.\nAnswer: a, d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - 6. Suppose -4*a + 3*b + 53 = -3*a, 3*b + 91 = v*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + (sqrt(135) + (sqrt(135) - (sqrt(135) - -2*sqrt(135)*-1) - sqrt(135)) + sqrt(135) - sqrt(135)))*-1)\/(sqrt(320)*1*-1)*-1.\nAnswer: -9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(6\/5)\/a))\/a*(a*a\/(a**(-6)*a))\/a)**(-1\/21) assuming a is positive.\nAnswer: a**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -13, -25, -39?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -12)*(-2)\/(-5). Let x = 4 + r. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 6 - 6 + 4*v**4 - 6*v**4 - 2*v**4 + 3*v - 2*v**4 - 3*v + (v**4 - 4*v**4 + 2*v**4)*(1 - 4 + 4) + v**4 - v**4 - 2*v**4 - 3*v**3 + v**4 + 3*v**3.\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:52 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 0*n**2 - 3*n**2 - 2*n**2 + 3*n**2. Let j = 3 + -1. Let b(u) = -j*u**2 + 4*u**2 + 0*u**2 - 5*u**2. Determine b(c(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(165) - (-1*sqrt(165) - sqrt(165) - sqrt(165)))*-2)\/sqrt(11))\/(-1*sqrt(245) + (sqrt(80)\/sqrt(4))\/sqrt(4)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12) - 5)*(-270)\/60.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7.9. Let g = 5.1 + n. Let z = 5.0024 - g. Round z to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z + 47. Let n be h(-15). Suppose 3*w + 5*r = n + 422, -5*r - 213 = -w. Let t(g) = 2*g - 6. What is the remainder when w is divided by t(19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4470787 by 4470787.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7672 - 4915 - 5268 + 2*b.\nAnswer: 2*b - 2511","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a, 0*a + 4*a - 741 = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 32. Let r = -7714.43 - -7665. Let y = h - r. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + -395. Let p = c + 503. Sort -4\/11, 1, p, -1\/2 in descending order.\nAnswer: p, 1, -4\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/2)\/((-1)\/2). Let s = q + 7. Suppose 0 = -2*c + 4*r + 90, 0 = c - r + s*r - 48. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17383021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 6. Calculate h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**3 - 10*p + 10*p)*(1 - 2 + 2)*(0 + 4 - 19) to q*p**2 + l + k*p**3 + w*p and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2330386?\nAnswer: 2, 1165193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3623 is divided by 88.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325063299?\nAnswer: 3, 11, 9850403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*i - 6, 9*i = 4*i. Find the third derivative of 3*y**2 + z*y**6 + 5*y**6 + 35*y**5 - 35*y**5 wrt y.\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1210.\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 118\/7 (b) 80 (c) 0.4 (d) -2\/19 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/512 and 21\/1270016?\nAnswer: 2540032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/5)\/(((-70)\/25)\/(-7)). Let a(m) = m**3 + 8*m**2 - 10*m - 1. Calculate a(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1290 and 56\/645.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddududddud.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/470360545?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13644296 is divided by 135092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289 greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 1, o: 2, y: 1, t: 5}. What is prob of picking 1 a, 1 y, and 1 o?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1043 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) 4 (d) -7\/11 (e) -0.4 (f) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u*z**4 - 3*u*z**3 - u*z**2 + u*z - 2*u + 20*z**4 + 8*z**3 - 45*z**2 wrt z?\nAnswer: -48*u*z - 18*u + 480*z + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 65 + -92 - -28?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 h when four letters picked without replacement from {h: 5, v: 14}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/2 + 7*x**3\/2 + 15*x**2\/2 + 9*x\/2 = 0. What is x?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 955851.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**3\/6 - 9*k. Let p(u) = u**2 + 4*u + 2. Let t be p(-4). Let s(z) = z**2 + 2*z**t - 6*z**2. Calculate j(s(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183006419?\nAnswer: 3, 7, 56333639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -i + 1, -4*b + 5*i - 7 = 0. Suppose -l + 9 = b*l. Let p(o) = 16*o - 12*o - 5*o. What is p(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137345 and 1965?\nAnswer: 53976585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -362000 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 7 - 4 + 0*k - 5 + 1. Calculate w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -21\/715, 6\/5, -2\/11 in ascending order.\nAnswer: -2\/11, -21\/715, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.31 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-26)\/x)\/x*x)**(4\/37)*x**33*x*x*x*x**(-1\/4)*x assuming x is positive.\nAnswer: x**(5007\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/((-66)\/(-78) - 1). Suppose -5*t + 1805 = -2240. Let p = t + x. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 173*q**7\/70 + 11*q**4\/3 + q**3\/6 + 3*q**2 - 209. What is the second derivative of z(s) wrt s?\nAnswer: 6228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 3:36 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73637822*u**3 - u**2 - 103083335*u.\nAnswer: -441826932*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12007184 by -15967.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*o - 64, 24 = 4*o + 2*x - 56. Find the common denominator of (5\/(-10))\/(-1) - 10\/o and 8\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 - 0.1. Let m = -0.05 + 4.05. Let n = q - m. Is n smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4914208.\nAnswer: 2, 13, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:44 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 6*g - 2*g)*(2*g**2 + g**2 - 2*g**2) + 0*g**3 - 2*g**3 + g**3 + (-2 - 2*g + 2)*(0*g + 3*g**2 + 0*g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1412212233 (base 5) to base 3.\nAnswer: 20211112102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38544515 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11063 or -11060?\nAnswer: -11060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m = 85*m + 6. Let l(q) = -q**2 + q + 4. Let f be l(0). Sort 13, m, f in increasing order.\nAnswer: m, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -39*o**2 + 27*o - 27. Let a(x) = -3*x**2 + 2*x - 2. Let m be 18\/12*(-12)\/9. Let k(f) = m*y(f) + 27*a(f). Let r(c) = -5*c**2. What is r(k(t))?\nAnswer: -45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -33?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/417 and 71\/176963124.\nAnswer: 176963124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 77985519.\nAnswer: 77985524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*y + 143*y + 5*k = -21, -2*y - 30*k = -32*k - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 566095.\nAnswer: 1132190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+0.0157\nAnswer: -0.0943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x**2 - x - 2. Let q(w) = 12*w**3 + 4*w**2 - 2*w - 55. What is q(m) - 2*u(m)?\nAnswer: 14*m**3 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i - 56 = 0. Let j = i - 9. Solve -2*t - 6 = 4*h, j*t = -5*h + 4*t - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 1\/3*o**3 + 2\/5*o**5 + 55\/2*o**4 + 0*o**2 + 10*o - 63. Find the third derivative of y(j) wrt j.\nAnswer: 48*j + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 67*n**5\/60 - n**4\/2 + 928*n**3\/3 + 5*n**2 + 105*n. What is the first derivative of j(i) wrt i?\nAnswer: 134*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 4:44 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.2. Let i = -1.2 - -1. Let u be (1 - 0) + -1*2. Which is the nearest to u? (a) -5 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = o + 2*o - 24, 3*o = -5*k + 24. Let i be o\/(-10)*(-1)\/2. Which is the closest to 0? (a) i (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32754*j**2 + 73352 wrt j?\nAnswer: -65508*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 24*u - 81. Let v be a(-27). Suppose 10*q + 104 - 874 = v. List the prime factors of q.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**3\/3 + 4*x**2 + 6*x - 12. Solve l(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Suppose -5*h = -0*h - 5. Let c(u) = 3*u**2 - u. Let g be c(h). Is m at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 4*r**2 + r - 4. Let x be j(4). Suppose x = 9*c - 2 - 7. Put -27, c, 3 in ascending order.\nAnswer: -27, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-36)*8\/(-3)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**2*x**3 - 762*b**2 - 133*b*x**3 - 2*b*x**2 + 42*b*x + 166725*x**3 + 3*x**2 - 118*x wrt x?\nAnswer: -18*b**2 - 798*b + 1000350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 1, t: 2, j: 9}. Give prob of sequence vt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from frmrmmfrmmfmkirf?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-20)*600\/9. Let t = 239 - k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518821113 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j + 70*j + 12*j + 25*j as w + k*j and give k.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843.\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7302.28 and 0.1.\nAnswer: -730.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -52. Suppose 6 = -2*k + j. Let b(t) = -11*t - t - 3*t - 17. Let i(f) = -7*f - 8. Give k*i(s) - 6*b(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xulluld. What is prob of sequence xuu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2456, -9801, -22030, -39143, -61140, -88021, -119786?\nAnswer: -156435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 1 - 3*n - 4. Let g(a) = -a**2 + 146*a + 9547. Let p be g(-49). Determine h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and 6.0227.\nAnswer: 1.023859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -17. Let o be (-10)\/q*(-24)\/20. What is the closest to 1 in -3, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 785292198 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 12, -19*o + 21*o = 5*t - 2. Solve -5*r = 3*n - 4*r - 10, -n = r - t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -143. Suppose -4*o = -5*r + 15 + t, 0 = 3*r - o - 55. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -22. Suppose l*h = 4*h + 100. Solve -5*y = -h, -2*v - 4 + 0 = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67 - 2*u**2 - 26 - 9 + (1 - 1 + 2*u)*(0 + 2*u + 0) + 1 - u**2 - 1.\nAnswer: u**2 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 12*j**2 - 12*j + 23. Let d be n(11). Is (-1241)\/(-3) + (-8)\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-4)\/sqrt(6) - -2*sqrt(833))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64087214 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2316400 to the nearest 10000.\nAnswer: -2320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 9*h + 3. Let q(t) = t**2 + 5*t + 1. Let w(g) = 3*b(g) - 5*q(g). Let n = -8 + 4. What is w(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 11:23 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 575\/529 - 4\/46\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1763014 divided by 1.\nAnswer: 1763014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/67970 and -34\/61173.\nAnswer: 611730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27622514 divided by 1\nAnswer: -27622514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = 2*l. Put l, -2, -1 in ascending order.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 6, 631, 3 in decreasing order.\nAnswer: 631, 6, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j**2 - 6*j + 5*j**2 + 1. Let v = 3 - 6. Give x(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let j(i) = -23*i. Give -j(s) + 46*n(s).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74611 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-2 + 0)*16\/(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose 5*g - 35 - 15 = o. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (93\/(-9))\/((-1)\/3). Suppose r = w - 5*n, -4 - 1 = -5*n. Suppose 5*u - 4*p - 113 = 0, 2*u - 4*u = 3*p - w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) - sqrt(50))**2*4*-3.\nAnswer: -29400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8234719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1438524465 to the nearest integer?\nAnswer: 37928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -7*n + 11*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wow when three letters picked without replacement from {p: 1, w: 2, o: 3, t: 6, x: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 12*o**2 - 27*o + 175. Let r be k(6). Solve -12*i = 19*i - r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 - 32 - 7*t**2 + 6*t - 6*t**3 + 35. Let r be h(-4). Is -69 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((465\/63 - 7)\/(8\/12))\/2. What is the closest to t in 192, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - 6*o + 3. Calculate a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23*p + 209. Let j be u(9). What is the thousands digit of (-2)\/(7 + -3)*(-3770 - j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 27*d - 3. Let u(v) = 26*v + 2. Determine -3*u(b) - 2*x(b).\nAnswer: -2*b**2 - 24*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 37, 5, -22, -5 in ascending order.\nAnswer: -22, -5, -1, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003317 rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -753433 times 20?\nAnswer: -15068660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3307\/154 - 2\/77. What is the common denominator of 2\/6 - (-578)\/84 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 2941815.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 383829292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**3 - 2. Let g(u) = -19*u**3 - 4. Give -13*b(a) + 6*g(a).\nAnswer: 16*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2384*j + 100134. Calculate i(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115979359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**2 - 6. Let q(h) = 13*h**2 + 11. Let z(t) = -6*q(t) - 11*x(t). Let f = 17 + -17. Let g(o) = 11 + f*o - 11 - 2*o. Give g(z(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 113.4. What is the smallest value in k, 0, 11\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by -9\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1. Let y(c) = 2*c - 18. Let h(f) = 10*b(f) + 2*y(f). Let s be h(11). Calculate the greatest common divisor of 198 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -913\/8 + 114. Let g = 1435\/3 + -493. Let t = g + 97\/6. Which is the second biggest value? (a) y (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1875*p - 5907*p + 31418*p)*(-2*p**2 + 3*p**2 + p**2) + 3*p**3 + 4*p**3 - 5*p**3.\nAnswer: 54774*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/285488 and 143\/356860.\nAnswer: 1427440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 4, m: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(858\/15))\/(((-33)\/18)\/(286\/(-390)))\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 942730837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -17164?\nAnswer: 1\/17164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 2 + 2)*(g - 2 + 2) + 0*g**3 + 28*g**4 + 26*g**3 - 28*g**3 - 10*g**2.\nAnswer: 27*g**4 - 2*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Let r be v + -1 - 3 - -5. Suppose -m = 2 - r. Solve -j = -4 + m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 9*y**2 + 5*y - 12. Calculate k(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-45)*1908\/(-424)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 17*l + 74. Let x(w) = w**3 + w**2 - 2*w - 6. Let z be x(0). Is y(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*d + 32, 11*d - 3*m = 6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 3*f**2 - f + 2. Let j be v(-2). Suppose j = 4*i - 7*i + 156. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a kilometer in centimeters?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 18522*n + 18520.\nAnswer: 2*(n + 1)*(n + 9260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 20 = 0, 0*h + 30 = 2*h + 5*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2083525 divided by 25\nAnswer: -83341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -111, -251, -447?\n\"Answer: -28*p**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-2\/3)\/y*y**(-6)*(y**(-1\/10)\/y*y)\/(((y**(2\/7)*y)\/y)\/y) assuming y is positive.\nAnswer: y**(-1061\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -65\/7, 4.4, 0.5, -14 in decreasing order.\nAnswer: 4.4, 0.5, -65\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 401 + -400.7. Which is the nearest to 0? (a) 7 (b) -0.1 (c) o (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/9 + 3512*d\/9 - 390 = 0. Calculate d.\nAnswer: 1, 1755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - 75 - ((0 - -3) + -30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -101, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, 0, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 greater than 475956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:35 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)\/j)**(4\/11))**(1\/9)\/(j*j**0*(j*j*((j*j\/j**(-2\/3)*j*j*j)\/j)\/j)\/j)**4 assuming j is positive.\nAnswer: j**(-250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4048 is divided by 324.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110))\/sqrt(10) + -4)*5.\nAnswer: -20 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46765 or 46769?\nAnswer: 46769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9.1 times 50\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14302465*t**3 + 15749093*t**2 wrt t.\nAnswer: 85814790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let g = 35 + -106\/3. What is the second smallest value in 0.3, g, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001241 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063422348 to 5 decimal places.\nAnswer: -0.00634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 890 * -272.\nAnswer: -242080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**4\/4 - 7*c**3\/3 + c**2\/2 - 3*c - 9. Let h be x(7). Solve 5*s + 10 = 5*p, 0 = 3*p - p + h*s - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/6 - 5*o**3\/6 + 19*o**2\/2 - 21*o. What is the tens digit of m(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 23*p + 62. Let z(y) = 5*y. Determine -n(j) + 4*z(j).\nAnswer: -3*j - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11640.6 + -11641. Which is the biggest value? (a) k (b) -0.1033 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6491*p - 276. Let h(w) = w - 25. Give a(f) - 11*h(f).\nAnswer: 6480*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -1) + (-26260 - -26281)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16495 - 4.\nAnswer: -16499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.044 and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20995.47135 + 20996. Let y = r + -0.51. Round y to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*h**4 - 1 + (0*h - 6*h + 4*h)*(-h + 5*h**2 + h)*(4 - 4 + 1 - 6*h).\nAnswer: 63*h**4 - 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 18. Suppose 0*m - 16 = m. Let h be t(m). Let w(b) = h*b + 1 + 2*b + b - 4*b. Let i(f) = 5*f + 5. Calculate i(r) - 4*w(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4859, 8023, 11187, 14351, 17515?\nAnswer: 20679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24882 and 13270.\nAnswer: 38152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16983912 divided by -4245978.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*f = -809, 3 = 25*f - 24*f. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5324, -11019, -16714, -22409?\nAnswer: -28104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00117677286 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) -0.1 (c) 1186 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 446 or 6540?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -13. Suppose -4*f - p*v = -8, f - 3*f + 5*v + 4 = 0. Suppose -3*i = 2*q + 11, -q = -f*i - 5 - 7. Solve -q*u + 3*u = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-3)*((-108262496)\/(-128) + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -864 + g - 861 + 1718. Give v(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153066424\/33 or 4638375?\nAnswer: 4638375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 1. Let i(h) = 12*h - 3. Let t(s) = i(s) - 4*n(s). Give t(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4460 and 183600?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1263, -2130, -4495, -9108, -16719?\nAnswer: -28078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17572 and 60356?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*y**3 - 8*y**3 - y**3 + (2*y**2 + 2*y**2 - 6*y**2)*(-3*y - 7 + 7 + (4*y - 2*y + 0*y)*(4 - 3 - 3)).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/24 - 5*o**3\/6 - 4*o**2. Let z be l(-9). Let f = -54 - -41. Is z at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 163*o**2 - 110312*o - 162*o**2 + 110312*o. Let t(z) = 862*z. Calculate t(g(b)).\nAnswer: 862*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-56))\/((-6)\/(-96)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/14)\/(21\/(-14))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -103*r - 5674. Determine h(-54).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*f - 480 = -159*f. What is the greatest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*c + 22 = -33, 4*c + 72 = 4*j. What is the remainder when j is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddkkkddkdddddk. Give prob of picking 3 k and 1 d.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*2*sqrt(11))**2 + (sqrt(704) + 1 + -2)**2.\nAnswer: -64*sqrt(11) + 1117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2041 - 1226. Suppose 5*g + y = 10*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*q**5 + 621*q**4 + 8*q**3 - 72540192*q**2?\nAnswer: -6360*q**2 + 14904*q + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11312031120 (base 4) to base 2.\nAnswer: 101110110001101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 4*r**2 - r. Let g be k(3). Let f be (20 + 0)*g\/15. Let l(m) = m**3 + 4*m**2 + m - 3. Let b be l(1). Solve b = z + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360336139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 + -9.8. Let g = -11.1 - c. Let v = 0.45 + -0.05. What is the nearest to g in 3\/7, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 7*q + 5*m + 6, -3*m = -4*q - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 502*b - 9766. What is s(21)?\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 - -1802\/9. Let g be -220*(-9)\/(-126) + (-2)\/7. Let v be (2\/24)\/(g\/(-48)). Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(152)\/sqrt(8) + ((sqrt(152)*1)\/sqrt(8))**2.\nAnswer: -sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(13) - (4*(sqrt(13) + 0))**2).\nAnswer: -212 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 25033*j**3 - 5 + 25038*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1217*p*z + 1161*p - 3*z - 2 wrt z.\nAnswer: -1217*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935 minus 0.3?\nAnswer: 1934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 - 171\/(-36). Find the second derivative of -g**q + 4*g**2 + 4*g - 4*g**2 - 2*g**4 wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53035*z - 53026*z + 106059*z + 0 + 0.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.0508 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980943792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-424)\/52 - (-47)\/52.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4074.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(1\/2)*k)\/k))**33)**(5\/4)\/((k**(1\/2)*k*k)**15)**(-3\/17) assuming k is positive.\nAnswer: k**(-1905\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 9, 1, -23, -69, -143, -251?\n\"Answer: -w**3 + w**2 + 6*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 4. Let j(f) = -15*f - 21. Let d(l) = 4*j(l) - 21*x(l). Let o(a) = -3*a**2 - 4*a**2 + 4*a**2. Determine d(o(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -63137.\nAnswer: 126274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/900 and 47\/600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/12 - a**3\/6 + a**2 + 6*a - 14. Let v(p) be the first derivative of m(p). Factor v(l).\nAnswer: -(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 30 = -0*b + 6*b. Let g(k) = -3*k**3 - k**2 + 5*k - 1. Calculate g(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10832219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058621435 * 5.\nAnswer: -0.293107175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45567 (base 14) to base 15.\nAnswer: 34da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1864)\/2330*(-2)\/(1 - 9\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.07 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*v - 40742 = -316*v - 376*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9991.\nAnswer: 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 + -115. Suppose -11 = -0*a - 4*a + 5*b, -y = -4*a - 4*b. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/80 + -61\/80. Let z = -2.6 - -2.5. Let t = -1452.5 - -1450.5. What is the closest to z in t, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 605 + -52?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1729*i*o**2 - 142*i*o + 2*o**2 - 3*o wrt o.\nAnswer: -3458*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*i = -34, -3*b + 2*i + 74 = b. Let s = -2208 - -26471\/12. Calculate the common denominator of (-2)\/(-3) + 363\/b and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21519698 divided by 3?\nAnswer: -21519698\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -29*q + 1418. Suppose -7050 = -q*i + 64*i. List the prime factors of i.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/4 - 3*m**3\/2 - 3*m**2 + 23*m. Find n such that s(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - 34024.\nAnswer: -34024.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 - 82. Suppose -p = 0, y*p = a + 3*p - 6. Solve -5*n = -4*j - a, -j = 2*j + n + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351081251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -979*h**2 + 7345*h?\nAnswer: -1958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 10. Suppose d + 5*t = -21, -15 = 3*d + 3*t - 4*t. Give n(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 75. Calculate the remainder when n(-19) is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.1, -3, -80, -2\/719?\nAnswer: -2\/719","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2219 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675706 is divided by 564?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 6*u**2 + 5*u + 1. Let p be c(5). Let s be 2 + 4\/2 + p. Suppose 9 = -j + 3*w + 3, 13 = -s*j - 2*w. Is j less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*j + 38 = 76*j + 12. Solve -j*f + 27*f - 3*c + 8 = 0, c = -5*f - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219 * 5247.\nAnswer: 1149093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 53372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -149*t**2. Let v(w) = -5*w + 31178. What is v(l(o))?\nAnswer: 745*o**2 + 31178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-11 + (-6 + 38 - 9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 687 and 106943?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -350427 and -350427 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 + 10?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-231))\/((-2)\/11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 3*z + 3*z)*(0 - 1 - 1)*(6*z**2 - 179 + 179) to the form k + t*z**2 + c*z + i*z**3 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 328 + -92. Suppose 2*g + 3 = -1, m = 3*y + 2*g. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, l: 1, n: 12}. What is prob of picking 1 l and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(720)*-2 - (sqrt(720) + 3 + (sqrt(720) - -2*sqrt(720)) + sqrt(720))*-6)**2.\nAnswer: 17280*sqrt(5) + 933520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krss when four letters picked without replacement from krkskkbks.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 2?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 divided by -2?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14664 (base 8) to base 5.\nAnswer: -202310","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let r(q) be the third derivative of 107*q**5\/60 - 2*q**2 + 7*q. Give r(g(o)).\nAnswer: 107*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9527 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 633511037 - -4?\nAnswer: 633511043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -14 + 8 + (-1 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 578 - (0 + 1)*4.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 29, -5 in decreasing order.\nAnswer: 29, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/((-2)\/(-4)). Let w(i) = i - 6. Let d be w(4). Which is greater: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*h - 5 - 13, m + 5*h - 19 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 55*h - 12. Let n be z(2). Which is bigger: n or 91?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by -14 + 12 + 18 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*f + f + 2*y, -4*y = -16. Suppose v + 6*m - f*m = 156, 3*v = m + 489. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589136469.\nAnswer: 3, 5557, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -23, 4210, -2 in decreasing order.\nAnswer: 4210, 0, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b + 11. Let g(h) = 3*h + 11. Let x(w) = -w**3 - 6*w**2 - 6*w - 7. Let t be x(-5). Let o(l) = t*g(l) + 3*a(l). List the prime factors of o(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:48 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 3*sqrt(200) + 0)**2 - ((1 + sqrt(200))*6)**2.\nAnswer: -4036 - 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 261\/(-203)*21\/(-36)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*j - 5, -4*f + 1 = -f - 4*j. Let i = f - -4. Suppose b + 4*p = -14, 0*b - b + 30 = -7*p. Solve -i*y - 1 = b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437917.1um to meters.\nAnswer: 0.4379171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122\/625 - 3\/625. What is the nearest to 0 in -0.08, -0.1, r, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*l - 9, 0*l + 3*l = -2*i - 3. Is (-817)\/(((-4)\/i)\/((-10)\/15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 98*x + 135. Calculate v(-101).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 8) to base 7\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44570063 (base 8) to base 6.\nAnswer: 542222055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*t - 19730, 2*t + 3*v + 1487 = 11362. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.122 - -0.878. Let f = 54 + -54.96. Let u = -0.04 + f. What is the nearest to u in -5, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + 2*sqrt(245))**2 - (sqrt(720) + 2)**2.\nAnswer: -48*sqrt(5) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 1 - 2*y**2 + y**2 - 2*y**2)*(3 - 3 - 2*y + (1 + 2 - 1)*(-2*y + 3*y + y) + y - 1 + 1 - 6*y + 11*y + 5*y).\nAnswer: 13*y**4 - 39*y**3 - 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 - 123 = 7*p. Sort p, -115, -1.\nAnswer: -115, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -1\/210*d**5 + 0 + 12*d - 4\/21*d**4 - 4\/3*d**3 + d**2. Let p(z) = 0. What is z?\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 87*x**2 - 67 - 37*x + 23 + 101*x**2 + 50*x. Is b(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6955*w - 130511 + 267886 = -109670 - 135480 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 52 + 0 = 0. Let c = 2 + 0. Let s = p - c. What is the highest common divisor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12319875 is divided by 99?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 5*c + 2. Let w be o(6). Let h = -7 - -51. Suppose 2*d - h = 20. What is the greatest common divisor of d and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 2*l)*(-530*l + 1342 - 1342) + 3*l**2 - 2*l - 2*l**2 - l.\nAnswer: -529*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdaaxaumammm. What is prob of sequence uuxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1317 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b316a (base 15) to base 9\nAnswer: 1054201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.538, 1.29, 3, -0.016, 0.11?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184 + 75. Let n be 3 - (u + -3 + 6). What is the common denominator of 91\/8 and n*((-145)\/70 + 2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2844251 to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w = 5*b + 51*w - 60, 4*b = -5*w + 44. What is the remainder when 46 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*a - 16 = 0, 4*g - 8*a = -5*a + 21. Suppose -18*l + 432 = -g*l. Calculate the highest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -6, -52, -136, -270?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -20*r + 22. Calculate f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28938?\nAnswer: 2, 3, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2378903 to the nearest 1000.\nAnswer: 2379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 165*o - 3029. Calculate a(55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/5 + 6*v**4\/5 - 36*v**3\/5 + 42*v**2\/5 - 3*v = 0. What is v?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*p - 50 = 0, 4*p + p = -2*k - 29. Let l be (-2)\/(0 + 8\/k). Solve 0 = l*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1332995240 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271406.\nAnswer: 2, 3, 313, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldpjdyyjydd. Give prob of sequence yd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5 = -a. Suppose 2*h + 3*h - a*k = 0, -k = -3*h + 8. Let i = h + 11. Calculate the smallest common multiple of i and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let r(a) = -a**2 + a + 1864. What is v(r(p))?\nAnswer: p**2 - p - 1864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168616951.99083 - -168618422. Let y = -1470 + d. What is y rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1241, -1237, -1233, -1229?\n\"Answer: 4*s - 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 796*h**2*j**2*n**3 + 1582*h**2*n**3 + 5*h*j**2 + 2*h*j*n**3 + h*n - 3042*h - j**2*n + j**2 wrt h.\nAnswer: 1592*j**2*n**3 + 3164*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 3. Let w be g(-2). Let l = -1 - -1.01. Let y = 0.01 - l. Which is the nearest to y? (a) 2\/11 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97502*h**2 + 37*h - 32502*h**2 - 32504*h**2 - 32498*h**2 - 39*h.\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o - 6596 = 80*o + 229*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469215408?\nAnswer: 2, 3, 9775321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 342*g**2*i**3 + 456*g**2*i**2 - 1349803*g*i**3 - 11841*g - 5*i**2 wrt i.\nAnswer: 2052*g**2 - 8098818*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13491.\nAnswer: 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9556394?\nAnswer: 2, 4778197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -l - 26. Let a(y) = y**3 - 14*y**2 + 14*y + 2. Let z be a(l). Solve 23 = 5*j + d, 0*j = -5*j - 5*d + z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 86*d**2 + 1734*d - 6398. Give k(58).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16492425*w**3 + 18*w**2 + 2*w + 68182 wrt w?\nAnswer: -98954550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/38 and 25\/86.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**8\/28 - 733*l**6\/30 - l**4\/2 - 157*l**3\/6 - 5945*l. What is the third derivative of i(m) wrt m?\nAnswer: 240*m**3 - 17592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 12 = 5*k. Let d = 10 + k. Let m = d - 4. Calculate the remainder when m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -27, -23, -19, -15, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 12. Let b be y(-7). Does 14 divide 52 + 1*(0 - b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4 + 14. Suppose -z*r - 576 = -3*j + r, -4*j + 772 = -5*r. Is j a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -6 (c) 2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*1*201. Let z = 333\/5 + m. Which is the biggest value? (a) z (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*-2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13*g - 3. Suppose -8 = m - 3*m. What is the units digit of q(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*g + 6087 + 381, 0 = -2*b. Let l = g - 4786\/3. What is the common denominator of -4\/7 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49492?\nAnswer: 2, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906469669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20526417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 3*q**3 + 0*q**3)*((1 - 3 + 1)*(2*q - 5*q + 5*q) + q - q - q + 0*q - 4*q + q + q + 3*q - 2*q).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**5 - 5*i**5 + 0*i**5 + (-3*i - i + 3*i)*(-3*i**3 + 3*i**3 - i**4).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -29*a**2 - 16*a + 122. Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 15*p + 14. Suppose f + p = 2*u - 9, 5*f = 4*u - 38. What is the smallest common multiple of 17 and u?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 6. Let i be c(-4). Let p = i + 305. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.039*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8*i - 3 + 6*i)*(710*i + 128*i - 265*i).\nAnswer: -1146*i**2 - 2865*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let u = -1 - o. Let y = 19.4 + -19. What is the closest to u in -1\/3, -2\/15, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000069742 rounded to 7 decimal places?\nAnswer: 0.0000697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 5856*v**2 + 218196*v + 2059144.\nAnswer: 4*(v + 19)**2*(v + 1426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 249621021 from 517100.\nAnswer: -249103921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let k(g) = 2*g. Let n(z) = 3*k(z) + 8*m(z). Let l(j) be the second derivative of -j**4\/3 - 2*j. Calculate l(n(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3003)\/(-1547)*(-68)\/102.\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -19*p + 145 - 145. Let h(b) = b. Calculate v(h(j)).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4368 and 6356298.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/2 + 699*i - 162867\/2 = 0.\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -2, -153, -1 in increasing order.\nAnswer: -153, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.6 - 0. Let y = -15.065 + 15.065. Which is the third biggest value? (a) 5 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1905775, -1905776, -1905779, -1905784?\n\"Answer: -t**2 + 2*t - 1905776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-6))\/(1 + (-12)\/36). Suppose p*q = -4*v + 1284, 5*v + q - 467 = 1150. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(0 - 3 + 0)*(-12 + 22 + 34)*(-4*g**3 + 2*g**3 + 3*g**3).\nAnswer: 396*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*i = 308 + 112, -2*v = 3*i + 425. Let l = v - -393. Calculate the highest common divisor of l and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 21 - 39. List the prime factors of 14*(4 + r\/6 - 3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppprzzzzzzzp. What is prob of sequence rp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-22 + -17 + 19).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59431 by -577.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33856242 at most as big as 33856270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*3\/18)\/((-4)\/((-15)\/15)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/2 + 237*t**3 + 18723*t**2\/2.\nAnswer: 3*t**2*(t + 79)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n + 3. Let i be b(2). Find the common denominator of 59\/22 and 5\/155*(147\/(-6) + i).\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406 + -714. Let z = 293 + v. Let c be (0 + -1)\/((-3)\/(-5)). What is the biggest value in z, 4, c, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53 - 100?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6 + 1. Suppose -3*s - 2*y = 2*s - 39, -5*s + 45 = i*y. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358413124?\nAnswer: 2, 89603281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/25)\/((6\/15)\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24))\/(sqrt(3)*-2*3) + 3.\nAnswer: -sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 - -94 - (-4 - 1) - -3 - -27?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3. Let m(v) = -v. Let y(w) = -g(w) - 4*m(w). Let d be y(2). Suppose -3*k - 10 = -d*k. What is the closest to 0.1 in k, -3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8187 = 197*i + 115*i + 1167 + 11862 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 15, 2*m - 3 = -d - 5. Let p be (3\/(-14))\/((-3)\/d). Let z = 0.7 - 0.2. Which is the smallest value? (a) 0.4 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 27 = 4*w. Let r be 24\/(-16)*(-238)\/w. Suppose 3*i - 4*j = 73, -5*i + r = -i - j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 54551?\nAnswer: -54540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*x - 4 = 2*x, -2*x + 4 = -4*w. Let m be (-4)\/(w - 1) + -2. Suppose -2*r - 3*r + 35 = 5*c, m*c - 6 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 324*l - 3017. Determine q(-11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - 7*14\/(-6). Solve c - 14 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -18. Let f be (-4 - 0)*1\/(-8)*84. What is the greatest common divisor of f and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 20456.959?\nAnswer: 20456.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:16 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 839671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174762 and 3416.\nAnswer: 42641928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {s: 1, y: 1, n: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7789121536 - -7789121504.59746083. Let d = -30.0825379 - j. Let n = d - 1.32. Round n to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 777435590 - -9.\nAnswer: 777435599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 22*b**3 + 7*b**2 + 7. Let a(t) = 7*t**3 + 2*t**2 + 2. Let q(j) = 26*j + 284. Let n be q(-11). Calculate n*x(w) + 7*a(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**5)\/((l**(3\/2)*l)\/l))**37 assuming l is positive.\nAnswer: l**(-407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 750680741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d)**(-16)*d**(1\/10)\/((d**(-19)*d)\/d) assuming d is positive.\nAnswer: d**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/9))\/(f**1\/f)*(f*f**5*f)\/f*f*f\/f**(-2\/11))\/((f**(-2\/5)*f*f)\/((f*(f*f**2)\/f)\/f)*(f*f\/((f*f\/f**(2\/3))\/f))**(-41)) assuming f is positive.\nAnswer: f**(38678\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-1 - -1 - (-8)\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 5*y = 378. Let j = y + 109. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1022*p**2 - 208*p**2 + 3480 - 74*p**2 - 3480 as f*p + s*p**2 + z and give s.\nAnswer: -1304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-12))\/(20\/(-3600)). What is the greatest common divisor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-129)\/(2 - -4*(-15)\/20). Calculate the highest common factor of 86 and j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 1 (c) -2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8510078, -8510074, -8510070, -8510066?\n\"Answer: 4*c - 8510082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n + n + (-4 + 1 + 1)*(5 - 5 - 9*n) - 14 + 14 - 12*n + (-6*n + 0*n + n)*(2 - 4 + 3))*(-4*n**2 - n**2 + 4*n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(1 - 4 + 1) + (0 - 1 + 2)*(-2 - 1 + 1)*(0*c + 4*c + 0*c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + r**5 + r**5 + 3*r**5 - 2*r**5 - 3*r**5 + (4*r**3 + 3*r**3 - 5*r**3)*(0*r**2 - r**2 + 0*r**2) - r**5 + 2*r**5 - 3*r**5.\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*z - 23. Sort -8, -1, z, 4.\nAnswer: -8, z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/25 - 46\/5. Let p = 11 + r. What is the remainder when 4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 2*z - 1393*z**2 + 5*z**3 + 1285*z**2 + 12*z**3.\nAnswer: 11*z**3 - 108*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-6 + (-3 - -1) - (167 + -124)) + -3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 25*p - 561155. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**4\/8 + d**3\/6 - 307*d**2. Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469339049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52215662 - -55?\nAnswer: 52216050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**7\/3360 - g**6\/1440 - 2*g**3\/3 + 8*g. Let a(j) be the second derivative of c(j). Factor a(n).\nAnswer: n**2*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 92*f = -55*f + 7020. Suppose -16 = -4*y + 3*b, 3*y + 6 = -2*b + 1. What is the least common multiple of f and y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-3*4\/(-384))\/2). Suppose -4*v = 11*b - 6*b - 400, -4*b - 4*v = -m. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 4:19 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 62 = 2*s. Let p be (6\/10)\/(2\/10). Suppose 6 = 3*b - p, 5*x - 3*b = s. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-1 - 10\/(-4)). Suppose -3*i + r*z = z - 51, -z = -4*i + 62. Let t = i - -1. What is the remainder when 30 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*z + 146 = -280 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572211 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 6 = 49*l + 209 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 1. Suppose c + 3*c - 19 = l*t, 0 = 3*t + 3. Suppose c*s = 5*s. Let k(f) = -f - 22. Determine k(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(3\/(-22)*(-495)\/90).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1047 + -1052. Let d(z) = -7*z + 33. Let o be d(5). Put 84, -4, v, o in ascending order.\nAnswer: v, -4, o, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*b - 156 = -9*y, -7*b + 26306 - 26321 = -y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 - 5*x + 8. Let s be q(-6). Suppose -12 = -d - 3*d. Solve -25 = d*v + s*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/((-244)\/(-854))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*((3 + 2*sqrt(2057))*-4)**2.\nAnswer: 19008*sqrt(17) + 1186128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12956 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 674, 1353, 2032, 2711, 3390, 4069?\n\"Answer: 679*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 14) in base 12?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 112883942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 23. Let t be f(-11). Let b(o) = 6 + 4 + 12 + 2*o + t. Let q(l) = 3*l. Calculate q(b(p)).\nAnswer: 6*p + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29286954?\nAnswer: 2, 3, 17, 61, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18733.948 + 18734. What is the smallest value in d, -4, 14, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*j - 216*j - 9288 = -53*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 227991 bigger than 227991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5 + 13*t + 7*t - 11*t. Let z = 29 + -32. Let p(m) = 19*m - 11. Determine z*p(s) + 7*x(s).\nAnswer: 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*p**2 + 47*p**2 - 22*p**2 + 129*p**2.\nAnswer: 204*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x - 9*x - x**2. Let h(a) = 6*a - 17. Let c(w) = -3*w + 9. Suppose 10 = 2*g + 3*o - 2, 0 = g + 2*o - 7. Let v(s) = g*h(s) + 5*c(s). What is y(v(n))?\nAnswer: -9*n**2 + 36*n - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 39 + -8 + -6 + 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*m + 65 = -40*m. Solve -5*c - 21 = -13*i + 9*i, 0 = -i - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q**2 - 5*q + 88. Let u(n) = -11*n**2 + 3*n - 87. Calculate 3*c(h) + 4*u(h).\nAnswer: -2*h**2 - 3*h - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990652 divided by -495326.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 + 1658*n + 87 to s*n + o and give s.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.072042 litres to millilitres.\nAnswer: 7072.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -69.12. Let d = 0.12 - j. What is the second smallest value in 2\/9, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 10*t - 9. Suppose 2*k - 5*k - 27 = 0. Let r be v(k). Suppose -4*w = -r*w - 28. Calculate the greatest common factor of 63 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8) + (-8988)\/(-16). Let d = l - 324. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 4981?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 33 - 6. Let d(t) = -15*t + 1101. Let b be d(63). What is the highest common divisor of b and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(1377) + -4*(sqrt(1377) + 1).\nAnswer: -18*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*(-68)\/(-14518)*2806?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 17*z**2 - 52*z - 138. Let c be o(-19). Solve 7*j = -156 + c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 24*i**4 + 166*i**3 - 320*i**2 + 172*i + 14. Let n(s) = -21*s**4 - 165*s**3 + 321*s**2 - 171*s - 12. Let q(k) = 6*f(k) + 7*n(k). Factor q(m).\nAnswer: -3*m*(m - 1)**2*(m + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-856)\/1070)\/(((-40)\/775)\/2)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppmt when four letters picked without replacement from {k: 6, p: 3, t: 6, m: 4}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuusxuuuuuussxux. What is prob of sequence usx?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)\/(t\/((t**(-29)*t*t)\/t*t)))\/(t**(2\/17))**(1\/8))**(13\/7) assuming t is positive.\nAnswer: t**(-31837\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y**3 + y**4 + (-3*y**4 + 2*y**4 + 0*y**4)*(-5 + 8 - 53).\nAnswer: 51*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/55 + -2724\/385. Let q be (2\/8)\/(6\/(-38667)). Let n = q - -1608. Find the common denominator of n and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001379518 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k = 5*q + 35*k - 29, -2*k + 10 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -9 - (-2 + 3). Suppose -j + 5*i - 4 = -3*j, -i - l = -j. Calculate the lowest common multiple of 3 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 4*j**2 + 3*j - 3. Calculate the remainder when d(3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(3\/(-1) - (-2 + -2)). Suppose z = -7*u + 2 + 5. What is the closest to u in -0.5, 1.6, -0.2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -697.2 + 641. Let i = s - -48. Let y = i + 8. What is the third biggest value in -0.4, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 48. Let y = l - 16. Suppose 0*m - 4*m = 0. Put m, -2, y in decreasing order.\nAnswer: m, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634649551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m. Suppose 9*d - 4*d + 70 = m. Is -15 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/22*32\/40.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-406)\/609*(-135)\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**5\/20 - 2*g**3 + 4*g. What is the second derivative of q(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 106.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -55. Suppose -j + y*j = 1680. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 9 = -75. Suppose -g = -5*s + 1. Let n be -1 - -1 - (-9)\/4. Is s less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128.5 - 130.5. Let v be 1 + (-26)\/(-30) - 2. Which is the closest to s? (a) -3 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54671396 + 0.671.\nAnswer: 54671396.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (53 - (1 + 1)). Suppose 5*l - 2*w - o = 0, 3*l = 4*w + 38 + 6. What is the derivative of 8*q - 3 + l - 4*q - 1 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r + 45*r**3 - 5*r**3 + 38*r + 14*r wrt r.\nAnswer: 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -84 - d?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-72)\/(-4))\/(1 + 1). Let x(a) = -a**2 + 17*a - 33. Does 31 divide x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -13911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*v + k + 23, -2*v = 4*k - 22. Suppose 3*c - v = 2*c. Solve -c*b = -b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -4*j + 749. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -585957 and 4737.\nAnswer: -581220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 23. Let s be (-833)\/(-4) - a\/(-16). Suppose 0 = -4*v - 53 + s. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:28 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/8 of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 9772729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8051521.5 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 - 9*g**2 - 68*g - 308\/3.\nAnswer: -(g + 2)*(g + 11)*(g + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 - -202. Let b = 10 - 16. Is j\/b - (-9246)\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 9*k + 70. Let x be -1 + 66\/k + 8\/28. Solve 12 = x*h - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 325293777 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44333638 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: What is the product of 7.8 and -37.71686?\nAnswer: -294.191508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-10)\/1520)\/(57\/(-38))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 4*b - 388800 = 0. What is b rounded to the nearest 100?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.2. Let m be (1 + ((-315)\/66)\/5)*812\/203. Which is the third biggest value? (a) l (b) 2\/19 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 13. Let j be v(6). Let t(r) = 4*r - 4. Let l be t(j). Suppose -7*m + l = -6*m. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4262695*m + 6 + 4262422*m - 8526052*m - 2 - 3.\nAnswer: -935*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 60 = 3*f + 5*w, -39 = 2*f + 3*w. List the prime factors of (32\/40)\/((-3)\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 179, 262, 345?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 881*z + 103. List the prime factors of c(4).\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 21 = -45. Let p be -3 + (k - (3 + -4)). Solve -5*t + 0*t = 3*b + 7, -3*b - t + p = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 3*v**2 - 5*v - 4. Let l be r(-2). Is l at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 5 = 15*k + 5*d, 6 = 2*k + 2*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3739?\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 31047.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42940, 82760, 122580?\n\"Answer: 39820*p + 3120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -125*b**3\/6 + 283180025*b**2\/2 + 113272015*b\/2 + 33981605\/6 = 0.\nAnswer: -1\/5, 6796321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -342052, -342049, -342044, -342037, -342028, -342017, -342004?\n\"Answer: j**2 - 342053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*u - 24 = 78, 0 = 5*x + 4*u + 108. Let n be (2\/(-5))\/(x\/30). Sort -1\/7, 0.4, n.\nAnswer: -1\/7, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27596\/15 bigger than 1841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1456 = -9*o - 425. Let q = -208 - o. What is the greatest common factor of 4 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23985.9, 1 in decreasing order.\nAnswer: 3, 1, -23985.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2408 + -2405. Let h(a) be the third derivative of 10*a**2 + 0*a**4 + 0*a + 0 + 1\/4*a**5 - 5\/3*a**d. Differentiate h(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 88473379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, f: 2, z: 1, x: 2, w: 1, g: 5}. What is prob of picking 3 f and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {m: 1, b: 4, s: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37\/22 - -2\/11. What is the second smallest value in 4, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f*f**8)\/(f\/f**(2\/3)*f)**(-23\/2) assuming f is positive.\nAnswer: f**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90721 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -10. Suppose 0 = -4*q + u, 0*i - 2*q - 6 = -2*i. Suppose i*a - 7 = 3*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 25345553?\nAnswer: -25345545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.084484 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -68. Let n = -47 - i. Let j(y) = -284375*y**3 + y - 4. Let s be j(n). What is s rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -564 - -1058. Calculate the greatest common factor of g and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-12)*(-54)\/3. Let p be 9\/o - 3\/(-6). Let g be 0 - (2\/(-6) + 1). Which is the nearest to 2\/5? (a) p (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -57*r + 480. What is h(9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2 + 2270666*f + 16743711 wrt f.\nAnswer: 2*f + 2270666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 1:18 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2654142197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 1d58?\nAnswer: -1d53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6788305 minutes?\nAnswer: 40.72983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 1, 0.5, 50?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -195704?\nAnswer: -1\/24463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 19\/((-2 - -3)*1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 0.038735774.\nAnswer: 0.038735774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 3 - (-30 + 19 + 22 + -12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-30)*-6*40\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -12*f**2\/13 + 193174*f\/13 + 32196\/13 = 0?\nAnswer: -1\/6, 16098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 5. Let w be 9\/(-6)*40\/15. Let i(f) = 3*f + 2. Let g(d) = w*z(d) - 9*i(d). Suppose 5*u - 4 = -2*m, -23 = 5*m - 8. Give g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3093 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1216)*1 + sqrt(1216)) - 3*sqrt(475)*5) + -4.\nAnswer: -11*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2320*i + 2329*i + 1 - 10. Let z(u) be the second derivative of 32*u**4\/3 + u**3\/2 - u. List the prime factors of z(i).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 2*u - 46, 2*l = -u - 22. Find the common denominator of 119\/12 and 30\/36*(-2 + 186\/l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/17))**(-1\/12) assuming b is positive.\nAnswer: b**(-19\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3.55, 1\/7.\nAnswer: -5, -3.55, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338805 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (-560)\/25*(-4 - 235\/10).\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -32. Suppose 6*v - o*v = -12. Which is greater: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*i - 21525 = 1025*i - 183*i for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 0*r - 9*r + 2*r. Let d be u(-3). Let n be 2\/(-3) + 4\/d. What is the nearest to -3\/4 in -1, n, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -324 - -91. Let a = t - -407. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 + 0*k**2 - k**2)*(3*k - 5*k + k) + 618*k**3 + 713*k**3 - 271*k**3 as o + h*k + b*k**2 + l*k**3 and give l.\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -522 - -537. Calculate the smallest common multiple of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - q - 1. Let z = 0 + 2. Let v(s) = s**2 - 4*s + 3. Let y be v(z). Let n be k(y). Solve u = n*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*n = 4*r - 119, 145 = 5*r - 3*n. Let b = 29 - r. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11278848 divided by -5376.\nAnswer: -2098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72961, -146013, -219157, -292399, -365745, -439201, -512773?\n\"Answer: -s**3 - 40*s**2 - 72925*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.39148t in grams?\nAnswer: 8391480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23303*n - 40 = -23306*n - 2*u, 4*n - 2*u + 68 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965482 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27842*t**4*u**3 + t*u**3 - 16*t*u + 85*u**3 wrt t.\nAnswer: 334104*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*a, -4*a = l + 2*l - 2*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 8192*v**3 + 4186100*v**2 - 8405000*v.\nAnswer: 4*v*(v - 2)*(v + 1025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + (sqrt(75) - (sqrt(75) + 0)) - (-3 + sqrt(75)*-2))**2.\nAnswer: 80*sqrt(3) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8416695, 33666728, 75750095, 134666790, 210416807?\nAnswer: 303000140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 7*y**2 + 12 - 2*y**2 - 3*y**2 + 0*y**2 + 0 + 3*y**2 + 0 + (-3 + 3 + 2*y**2)*(-7 + 2 + 3).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11221377627.61573278 - -11221377772. Let x = d + -0.38420822. Let a = -144 + x. What is a rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25161, -25155, -25145, -25131?\nAnswer: -25113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74877.68cm?\nAnswer: 748776800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 12) to base 14\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -2.7. Let o = 3.1 + k. Let s = 0.62 + -2.62. Which is the nearest to o? (a) 2\/19 (b) 2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 42146400?\nAnswer: -42146405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 5*w**2 - 2*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + x**5 + 2*x**2 + (-2 + 2 + 2*x**2)*(2*x**3 + x**3 - 4*x**3) + 2*x**2 - 17*x**5 + 15*x**5 - 5*x**2.\nAnswer: -3*x**5 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4767 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 - 5\/(525\/33). Sort w, -6\/7, -4.\nAnswer: -4, -6\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6813707*m**2 + 4313228?\nAnswer: -13627414*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:51 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775420780?\nAnswer: 2, 5, 19, 211, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**6\/1800 - r**5\/300 - r**4\/120 + r**3\/6 - r. Let i(n) be the second derivative of s(n). Factor i(p).\nAnswer: -(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - p + 19 = 0, 40*p = 5*k + 25*p - 65 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34370 is divided by 4901?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6.2, -150, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19335.8 rounded to the nearest 10?\nAnswer: -19340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - z + 0*z + (0*z - z + 0*z)*(-1 + 4 - 1) + 17090 + 0*z - 5730 - 6910 - 7182 + 5*z to s*z + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 9*d = 0. Let a be -2*(-2 + d) - 2. Solve -a*v = 2*z - 4, 3*v + 2*z - 2 = -3*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 88 = -2*r - 15*a, 47 = r + 2*a. Calculate the lowest common multiple of r and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1592334\/(-24))\/(30\/(-40)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2279076140 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1176\/(-16) + 1376\/64 + -22?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51012 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 15 - 8 - 7.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6*i**3 - 794*i**2 + 26400*i - 8712 = 0.\nAnswer: 1\/3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135499 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 85 - 61 = 0. Solve g*z = -4*p + 5 + 8, p = 2*z - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 9:52 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose m*j + 1 = 3*u - 0*u, -5*u + 2 = -3*j. Let x be -2*6\/4*u. Which is the biggest value? (a) x (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113701806 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 t be (11 - 13)\/(2\/(-4)). Suppose -t*w + 620 = -7*a + 3*a, 0 = 4*w + a - 635. List the prime factors of w.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**9*(v**(-3))**(-10\/11) assuming v is positive.\nAnswer: v**(-69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/12 - (1 - 8\/((-24)\/9)). Sort i, 30, 5, 2, 25 in increasing order.\nAnswer: i, 2, 5, 25, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + -0.1437. Round o to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -12, 271, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -9 - -5) + (28 - 18) + 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/20 + (-33)\/(-4). Let i = 8 - f. Solve 2 = 2*p - i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6957 - 6956. Sort 8, -138, u.\nAnswer: -138, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134525803.\nAnswer: 6967, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 57771066 and 1.\nAnswer: 57771067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400672790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**1*m)\/m)**22\/(m**1)**(-38) assuming m is positive.\nAnswer: m**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*o + 37*o - 13 + 64 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49266*y + 100 = 49276*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15293*j - 2006 = -15352*j for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.134, 1302, 0.07, -2.4?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-7) - 6\/(-1). Find the first derivative of r - 4*z + 4*z - 6*z**2 - 3 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*6*2\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 11)*10\/(-6370). Are a and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -10*d + 729. Suppose -42 = 3*f - d. Solve -f*b = -8*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.666 and 0.42?\nAnswer: 1.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34*0.0258.\nAnswer: -0.008772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 1. Let h(l) = 8*l - 5. Let j(f) = h(f) - 5*n(f). Let a(x) = 31*x**2. What is j(a(w))?\nAnswer: 93*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 4. Let i be (-3234)\/(-27) + h\/36. Suppose i = -0*q + 6*q. What is the highest common divisor of q and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) 4\/99 (b) 80 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20031 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255902 = 27*c + 248855. Calculate the remainder when 1588 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11577174779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -14*l + 247. Solve 3*y = v - l, -27 = v - 5*v + 3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**4\/12 - 60*y. Let f(h) = 5*h**2 + h. Let x be (22\/6)\/(3\/9). Let b(k) = x*o(k) + 2*f(k). Determine b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 46 = 6. Suppose 4*l - z = 3. Solve -8 = -0*t + l*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24001?\nAnswer: 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 7*m**3 + 5*m**3 - 1 - 6*m**3 - 2 in the form i + v*m + h*m**2 + f*m**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 179, 191, 211, 239?\n\"Answer: 4*o**2 + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + 28 + -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, 6, 24, 34, 24, -18, -104, -246?\n\"Answer: -2*r**3 + 14*r**2 - 14*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10231231 + -10?\nAnswer: 10231221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 5*p**2 + 9*p - 6. Let j(d) = 2*d**3 + 11*d**2 - 19*d + 13. Calculate -13*i(v) - 6*j(v).\nAnswer: v**3 - v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621441.\nAnswer: 131, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16501, 16788, 17075, 17362, 17649, 17936?\nAnswer: 18223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221 - 1443?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(156\/(-8))*(-8)\/48.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/13981 + -73610\/125829. What is the common denominator of (6867\/594 + -4 + -8)*6\/(-8) and v?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2. Let j(r) = 16*r + 7. Let t(s) = -5*s - 2. Let g(f) = 4*j(f) + 14*t(f). Give u(g(n)).\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6\/48*125178)\/(1\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103102 (base 5) to base 11.\nAnswer: -2717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125)\/15*-24*1\/(-50)*-5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 21 = -4*l, -36*t - 11 = -33*t + l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9860, 4 in descending order.\nAnswer: 4, 1, -9860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/35)\/f)\/(f**(2\/7)\/f))**(-4) assuming f is positive.\nAnswer: f**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 4\/67, -1?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 212749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 q, and 1 b when three letters picked without replacement from {q: 12, b: 1, e: 1, k: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/580)\/((-1557)\/3114)?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.23 + -0.23. Let z = -50 - -49. What is the biggest value in 2\/3, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 23. List the prime factors of i\/(-14) - 28905\/(-105) - 5.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -i + 189*i - 142 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/11*((-3)\/(-8))\/(2325\/(-15500)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10627 is divided by 5260?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69540 and 125172?\nAnswer: 625860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 38\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 17\/4*i**4 + 0*i**2 - 11\/3*i**3 + 0*i - 12. What is the third derivative of d(w) wrt w?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5 - 763*x**4\/3 - 17537*x**3\/3 + 5992*x**2\/3 + 70052*x\/3 - 3920 = 0.\nAnswer: -20, -2, 1\/6, 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(-5*(sqrt(288) + 0) - sqrt(288) - sqrt(288)) - ((1 + sqrt(288) + 3)**2 - 3*sqrt(288)*1).\nAnswer: -304 + 444*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6624*d + 3821*d + 39*d to s + t*d and give t.\nAnswer: 10484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1232 + -618. List the prime factors of m.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(3\/13)*j)**26*j**21*j*j*j\/((j\/j**(-23))\/j*j) assuming j is positive.\nAnswer: j**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-65))\/(4\/30)*(-10)\/1530*6.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1775 and 152721.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 - -102. Let y = w + -51. Let n = 99.00212 + y. What is n rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from redddrdrrddredrr. Give prob of sequence dre.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afd when three letters picked without replacement from adfdafafaff.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1723 divided by 2.\nAnswer: 1723\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 874 = 4*v + 3*g, -v - g = -2*g - 222. What is the remainder when (-1 - v\/(-28))*14 is divided by 287\/11 + (-6)\/66?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**22*(((i*i*i*(i*i**(-1)*i)\/i)\/i)\/i*i)**(-12) assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 19*z**4\/12 - 16*z + 5. Let u(n) = 7*n**2. Determine i(u(h)).\nAnswer: 931*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2956948101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/3)\/s*s**6\/s*(s**(-2\/15)\/s)\/s**(-2\/3) assuming s is positive.\nAnswer: s**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40463 is divided by 189.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-9)\/j)\/j)\/j*j**(-3\/4))\/((j*j\/j**(-4))\/j**10) assuming j is positive.\nAnswer: j**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1411*j + 12871. What is m(9)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/2 + (3 - 4). Suppose -2*o = -a*o - 60. What is the units digit of 117\/15 + (-3)\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -104 - -41?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2678 + 61?\nAnswer: 2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o + 3. Let j be v(0). Let m(z) = 23 + z - 46 + 17 - j*z**2. Let h(f) = f**2 + 1. Let w be 68\/(-170) - 3\/5. Determine w*m(y) - 5*h(y).\nAnswer: -2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrsrrssssrssrsssrs. What is prob of picking 1 s and 3 r?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 346\/8 - 5\/20. Suppose 2*x - h = -n, -x + 13 = -4*n + 212. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 11*q = 607497. Let j = q + 25501. Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559022.9 millennia in months?\nAnswer: 6708274800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7794 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 4.5. Let v = 20 - z. Sort v, -0.1, -1 in decreasing order.\nAnswer: -0.1, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllelllllle. What is prob of picking 1 e and 2 l?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c - 5*r = 0, 3*c - 17 = r. Suppose -4*l = 3*k - 77, -5*l - 2*k + 86 = -5. Is 11 a factor of (l\/c)\/(2\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0*k**3 - 1\/1470*k**7 + 12*k**2 + 1\/280*k**6 + 0*k**4 + 0 + 0*k + 1\/105*k**5. Determine o, given that b(o) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*u - 56*n = -55*n - 2, 0 = u - 4*n + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9613*z**3 + 4806*z**3 + 4818*z**3.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178 is divided by 605.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1546*y - 60243 = 13965 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1. Let v(w) = -7. Suppose 0 = -7*l - 33 - 16. Let z(s) = l*q(s) + v(s). Let y(m) = -6*m**2. What is y(z(f))?\nAnswer: -294*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -52 - (-1 + -6 - (23 + -24)). Let y = o - -376. What are the prime factors of y?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6886 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 9 = 0, 0 = -3*z - 4*o + 36. Solve 3 = -w + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 811006.3 to the nearest ten thousand.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 338\/5 + -2053\/30. Suppose 25*i - 51 - 104 = -30. Which is the third smallest value? (a) i (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**3\/7 + 66*h**2\/7 + 111*h + 13848. Let l(v) = 0. What is v?\nAnswer: -37, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o = -13 - 63 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 3*t**2 + 6*t - 2. Determine d(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-17) - (-4070640)\/(-82382)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20324670 and 9.\nAnswer: 60974010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -30\/306431?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 2*g + 4. Let h be f(4). Let s = -8 + h. Suppose -4*b + 707 = 5*z, -b - s*b = -5*z + 725. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6\/45*700\/420*18\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -135, -129, -119, -105, -87, -65?\n\"Answer: 2*o**2 - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1630*d + 53951. Give l(33).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12741617 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -411 + 8633\/21. Let z = 155 - 153. Let g = -4 + 5. What is the closest to g in 3, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.066 + 1.1137. Round x to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-4)\/12)\/(30\/(-45)). Let b(c) = 2*c. Let f be b(-4). Let z be (5 - 1)\/((-140)\/(-175)). Sort u, z, 3, f in increasing order.\nAnswer: f, u, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 48*a - 204. Let b be g(-52). Suppose 0*n - 2*n = -10. Solve -u + 0*u + 3*t - b = 0, -3*t + 16 = n*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(209)\/(1*sqrt(11) + sqrt(11)).\nAnswer: -2 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -4. Let h be (-128)\/w + -1 + -1. Let p = -13 + h. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*h + 2486*h - 1147 + 1147)*(3*h + 4*h - 5*h).\nAnswer: 4696*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 30 = -g - 4*g, 0 = -l - g + 7. Let x(b) = 2*b + 2*b + 7*b + b**2 + 11. Calculate the least common multiple of l and x(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m**3 - 4*m**2 + 3*m + 1. Let h(s) = 6*s**3 - 2*s**2 + 2*s + 1. Let j(g) = 5*h(g) - 3*y(g). What is j(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*c - 3*n + 122, -192 = -5*c - 2*n. Suppose 0 = 3*z - 5*z + 600. What is the highest common divisor of c and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -699780440 divided by -170056\nAnswer: 4115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -m - 5*s - 20, -2*m - 3*s - 7 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*v, 3 = -3*v - 0. Let q be (-5)\/w*(-2)\/5. Let k(d) = -d**2 + 2*d**2 + 0*d**q. Let l(j) = -2*j**2. What is k(l(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 1584, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 63*c + 2 - 1.\nAnswer: 63*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/8209?\nAnswer: 12\/8209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23059 or 932?\nAnswer: 932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/(-2)*1. Let m = 0.4 - 5.4. Let x = -0.732 - -1.132. Which is the biggest value? (a) z (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/99 + 103\/396. Which is the fifth smallest value? (a) -3 (b) -4 (c) 0.5 (d) -0.0524 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 greater than or equal to 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*w**4*x - 11*w**4 + 29*w*x**2 - 236*x**2 - 8 wrt w.\nAnswer: 92*w**3*x - 44*w**3 + 29*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*z = 45, 8*z - 4*z = 3*m - 24. Let n(t) = t**3 + 3*t**2 - 2*t + 2. Let r be n(2). What is the highest common divisor of m and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*f + 1009*f + 26 = 4*t, -5*t + 51 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6122.\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + 2)*4\/(-14). Solve 2*x + 2*f = 8, o*f = -3*x + 13 - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251765 divided by -5.\nAnswer: 50353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 40\/2*(-24)\/96\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:29 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13871 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -409 in 2\/9, 2361, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) + -2*sqrt(539)*1)*-6)**2 - (sqrt(3168)*2)\/(sqrt(2) - (sqrt(72) - sqrt(2)))) + 0.\nAnswer: 6*sqrt(11) + 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 391\/5?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 109 = -5*a. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267129 divided by -603\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1787*k + 1742*k - 855 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.683326 to 2 decimal places.\nAnswer: 333.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6929 is divided by 6911?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 516815, 516814, 516813, 516812, 516811?\n\"Answer: -n + 516816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l + 16. Suppose 7*v - l*v = 4. Let z(g) = g**3 + 4*g**2 - 4. Calculate z(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 18, 37, 74, 135, 226?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -95*u + 11 + 93*u - 4 - 4. Let f(z) = z. Determine -5*f(v) + o(v).\nAnswer: -7*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 134*i - 250 + 3862 = 20*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1680469 or 1680475?\nAnswer: 1680475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -20*m**2 + 6*m**2 + 2*m - 7 + 15*m**2. Let i be l(-7). Suppose 3*f - 7*f - j + i = 0, 0 = -2*j + 8. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-14)*73568\/(-8712)*7*2\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2476*s - 833*s - 6 - 822*s + 25 - 822*s.\nAnswer: -s + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486623967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10\/12)\/(40\/(-80))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (283864*y - 8 - 16 - 283799*y)*(-y + y + 3*y) to the form k*y + i*y**2 + v and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*d**3 - 3590*d**3 + 897*d**3 + 890*d**3 + 895*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*g**4*v**2 - 452*g**2*v - 2*g*v**2 wrt g?\nAnswer: -1248*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**2\/2 + 5. Suppose 2*j + 4 = -0*j. Let d(f) = f**2. Let s(o) = 3*o**2. Let w(c) = j*d(c) + s(c). Calculate w(x(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -i - 10. Suppose 0*m + 2*p = -2*m + 16, 2*p = 4. What is the remainder when i is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-43)\/((-2236)\/(-130))*(-24)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - 112\/(-20). Suppose 10*b + 752 = v*b. Is (-4)\/(-20) + b\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 293 = -31*f - 11*f. What is the smallest common multiple of f and 486?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95928 = -63*w + 71*w. Let n = -120029\/10 - w. What is the common denominator of 19\/2 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(1008)*-3*-5.\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 589285 by 1.\nAnswer: 589285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + -1 + sqrt(1300) - (sqrt(13)*-2*-5 + sqrt(13) + sqrt(78)\/sqrt(6)*-5).\nAnswer: -1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -747 or -672?\nAnswer: -672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 0.06, 3826, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7971866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - -2 - (14 + -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -436 divided by -109\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49 and 121\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 5\/(-45) + 1526\/882*7\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78938682 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344541 and 16379.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26127000 is divided by 1244142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 230*w**2 + 29*w - 34. List the prime factors of y(5).\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 less than 0.048888653?\nAnswer: 1.448888653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Solve 0 = -g + r*a + 6, -5*g + 6 = 2*a - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = o + 77. Let k be (4\/o)\/(-3 + (-64)\/(-20)). Let u = -0.2 - -0.4. What is the second biggest value in u, 5\/3, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -235\/6 + 77\/2. What is the closest to -1 in -0.6, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - (2 - 0)) + -1. Solve 0 = 2*k - 6 - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1045, -1046, -1047?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 107\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 5*s + 13 - 190*s + 290*s)*(4*s**2 - 4*s**2 + s**3).\nAnswer: 95*s**4 + 33*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + 9. Let s = 0 - o. Let m = -35 - s. Which is the second biggest value? (a) 1\/4 (b) m (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*g**4 - 6*g**3*q**2 - 32*g*q - 2*q**2 - 1 wrt g?\nAnswer: -612*g**2 - 36*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67101529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*y + 20, -4*y - d - 9 = 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75035977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 6. Suppose 54 = -2*y + 5*y. Suppose -6*c + 9*c = y. Let m(d) = 4*d**2 + 11. Calculate c*m(j) - 11*x(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112387, -224727, -337069, -449413, -561759, -674107?\nAnswer: -786457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664 + 658. Let f(q) be the third derivative of -q**4\/24 + q**2. Is 3 a factor of f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -5 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v + 7*v - 7*v - 63*v.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 - 17*z - 3. Calculate u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -64\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*y = -2*i - 182*y + 10, 5*y = -4*i + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 x when four letters picked without replacement from rrxrrrrrrrrrrrrrrrrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -31 + 65*m**2 + 1\/4*m**4 + 0*m + 6*m**3. What is the second derivative of a(i) wrt i?\nAnswer: 6*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*g = -50, -123*f + g - 20 = -121*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 48. Let m be h(-16). Suppose q + 5*f = 6 + 186, m = -4*q + f + 873. List the prime factors of q.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccjjccccc. What is prob of picking 2 j and 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500099401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1909492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - (4 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -42.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10262 and 64212266?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055643 rounded to six dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/7 + 71\/35. Let q = 1.2 + -0.2. Let y = q + -0.9. Is y at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**3\/6 + l**2\/2 + 9*l. Let i be s(-4). Suppose i*p - 53 = -4*z, 3*z + z - 62 = -2*p. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 13) to base 4\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*i - 8, 102*y = -3*i + 100*y + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229.1 - -230.1. Which is the nearest to -1\/3? (a) -1 (b) 0.2 (c) 2\/1001 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150.561831 hours to weeks.\nAnswer: 0.896201375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h**2 + 298*h - 117. Give l(18).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17878\/(-4)*(5 + 1). Is y\/(-27) - 6\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(-6*h + h + 4*h) - 6*h + 4 - 4.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/10 + 19*m**4\/6 - 6*m**3 - 103*m. Solve v(b) = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79325, -158650, -237975, -317300, -396625?\n\"Answer: -79325*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6130\/101 + 737705\/1313. Let j = -501 + i. Which is the second smallest value? (a) 5 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**2 - 73*v - 241. Determine g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7322 and 43703449.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 68. Let a = 1657 - 1369. What is the highest common factor of o and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4*g)*(-5 + 2 + 1).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:24 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6186*z**2 + 23 + 12378*z**2 - 6190*z**2 - 4 - 32*z. Let k(f) = -5*f**2. What is q(k(s))?\nAnswer: 50*s**4 + 160*s**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Suppose -l*i = -4*t + 390, 6 = 4*i - i. What is the highest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*c**6 + 191287*c**3 + 4*c**2 - 27*c + 260 wrt c?\nAnswer: 2520*c**3 + 1147722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.93 + 0.07. Let p = v - 0.94. Let j = -0.36 + p. Sort -0.2, -2, j in descending order.\nAnswer: -0.2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 372779*y + 6 + 372731*y as z*y + n and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1394 = 4*b - 30. Suppose -326 + b = 6*p. Solve -z - 2 = -p*a + 4, -z - 3*a = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Let u be ((-2)\/8)\/(1\/(-2)). What is the nearest to u in 2\/5, -0.5, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h, 4*l + h = 3 + 6. Let c = 18 + -12. Suppose -l*x = 4*m + 12, 2*x + 3*m - 5*m = c. Solve -3*s + 0*s - 9 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 35166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/6892?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 202 + 2*b**3 - 2*b**2 - 97 - 97 as g + t*b**2 + a*b + s*b**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.3. Let v = -2.74 + 0.74. What is the nearest to l in v, 0.2, -1\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 30*w + 60. Let u = 12 - 7. Sort w, u, 1 in ascending order.\nAnswer: w, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514 (base 8) in base 2?\nAnswer: 100101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17356?\nAnswer: 2, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/10 + 11568*w\/5 - 66909312\/5.\nAnswer: -(w - 11568)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**2 - 6*t + 21. Calculate o(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -210510138.71 and 3?\nAnswer: 210510141.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22)*3 + sqrt(22) - ((sqrt(242)*3 + sqrt(242))\/sqrt(11) - sqrt(22)))\/(sqrt(96)\/sqrt(3)*-1*6).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 10:49 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -51 - (-91 - -244 - 154)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**7)**(-3\/13))**35)**48)**(-10) assuming x is positive.\nAnswer: x**(352800\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1180 + -1139. What is the smallest common multiple of 4 and k?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5172*s - 5794*s + 27368 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let r = -100 - -100.118. Let z = 3.118 - r. What is the third biggest value in w, -5, 3\/7, z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 173926581641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84531 or -84532?\nAnswer: -84531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/19 - 132*u**2\/19 + 2040*u\/19 + 4624\/19 = 0 for u.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m + 30*m - 119*m.\nAnswer: -43*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -453, -1, 10, -5, 2 in ascending order.\nAnswer: -453, -5, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/40*(-84)\/147.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2*u - 2*u)*(u**2 + 0 + 0) + (-2 - 4 + 2)*(-3*u**5 + 2*u**2 - 2*u**2 + (-2*u - 2 + 2)*(4*u**4 - 5*u**4 + 3*u**4) - 2*u**5 - u**5 + 5*u**5).\nAnswer: 21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-16)\/(-6)))\/((-1325)\/1060)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let w(z) = -3*z**2 - z**2 + 13*z**2. What is l(w(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -984 by 82.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1\/4)\/(98\/56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 l when three letters picked without replacement from {l: 6, c: 1, p: 9, o: 3}.\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let b = 3 + h. Calculate the remainder when 48\/5 - b\/(-15) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 641269?\nAnswer: 641284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = -16. Suppose -8 = -4*r - 0*r. Suppose -4*c + 188 = -r*f - a*f, -3*f - 12 = 0. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(-1*6*(sqrt(567)*3 + (sqrt(252) - (3 + sqrt(252) - sqrt(252)))))**2.\nAnswer: -3297024 + 85536*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3043062 and 125\/338118?\nAnswer: 3043062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 474285.63 days?\nAnswer: 67755.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-56) - (-15960309)\/21. Suppose -7*r = -2*r + 2*n + 950010, -4*r - 3*n = x. What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -59535\/8, -1\/6, 0.4, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3017065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from pbbbbpbbpbbpp.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 155*v + 1177. Calculate h(-29).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -58*t**2 - 55*t - 171. Give a(-3).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2965 - 2962. What is the third smallest value in 28\/3, f, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + -4*sqrt(143))*-1)\/(sqrt(22)\/(sqrt(2)*-3)) + -3)**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2))\/(-1)*-30. Suppose 5 = -5*j + m. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10344644267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 + (-28)\/(-12). Let t(w) = 6*w**2 - 1. Let i be t(1). Suppose -i*j + m*h = -328, -4*h + 169 = 5*j - 152. What are the prime factors of j?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z**2 - 4*z - 4. Let n(v) = -35*v**2 + 9*v + 9. Calculate 9*d(h) + 4*n(h).\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/17, 2\/17, 3, -1\/10 in descending order.\nAnswer: 3, 2\/17, -1\/10, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 2614*v + 2614*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41442677 and -744478.\nAnswer: -42187155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 6) in base 12?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.7 + 1.3. Let q = -3 + y. Let j = -12.9984 + q. What is j rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 35*g - 4. Let k(x) = 103*x - 13. Let r(d) = -6*k(d) + 17*l(d). Differentiate r(w) wrt w.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 58. Let i be y(20). Suppose -5*l = -i*u - 228, -5*u = -2*l + 34 + 74. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 28002?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72702 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 plus -530.83?\nAnswer: -374.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*l - 14128 = -92*l + 3368 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200849 at least 200850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2.94. Let o = 2.94 - f. What is the biggest value in o, -4, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1386)\/(-4752)*(-3)\/(-21).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 362 = t, t + 91 = 3*c - 177. Let r = 171 - c. Let j = 150 - r. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-33))\/((-4)\/6). Suppose -3 = -3*m + t*m. Suppose 0 = 5*i + m*y - 59 - 292, 5*y = 10. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 47 = -58 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.62158 grams to milligrams.\nAnswer: 28621.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 472758643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 11*s = 101, -15 = 3*n + 4*s + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4035\/1883 + (-12)\/(-14) + -1. What is the third smallest value in -6, -4, -1, v, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 4*s**5\/5 + 7*s**4\/12 + 10*s. Find the third derivative of w(z) wrt z.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1321\/12 - 8\/96)*1 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37186455 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:13 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 0*g)*(-3 + 2 - 1)*(13273 + 3035 - 2415)*(g - g + g).\nAnswer: 27786*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -989 + 618. Let u = 381 + j. What is the greatest common divisor of 810 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -46363815236305.\nAnswer: -46363815236304.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*3\/(-3)*-1. Suppose -4*d = -8, t - b*t + 8 = d. Suppose w + 38 = t*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*m - 16 = -0*m, 12 = v + 4*m. Let j(a) = a**2 + 2*a - 5. Let i be j(v). Is i + 3 - (2 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-1974)\/(-252))*(-12)\/75.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 15. Let z(m) = m + 1. Give z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212599 + -56126065\/264. What is the common denominator of 163\/1056 and c?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**3 + 49 - 49.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232\/(-1334) - 180\/(-2622).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -0.11, 0.041, 4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*(-333900)\/92988 + (-4)\/82?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.025 and 4259?\nAnswer: 4258.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 - 5*c**2\/2 - 6*c + 2. Suppose 0 = -35*q + 32*q. Suppose 3 = n - 5*k + 4*k, q = -3*n - k + 21. Give s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -31. Let k = -21 + 46. Calculate the remainder when k is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -2.5. Let u = 1050.5 + -1055.5. What is the closest to -1 in i, 4, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2 = 169. Let n be (-4)\/(-60)*v*5. Find the third derivative of 18*b**3 - 4*b**2 - n*b**3 + b**2 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114160*g - 227301*g + 113146*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:07 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 159940 divided by -5\nAnswer: -31988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 + 1922\/(-496)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-8) - 1\/2. Let m be 0\/(0 - (0 + 1)). Put h, 4, m in decreasing order.\nAnswer: 4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2 + -2 + 2). What is the tens digit of j\/5 + 715\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - 3*s**2 + s - 6. Let m(t) = -4*t**3 - 2*t**2 + t - 5. Let c(o) = -3*j(o) + 4*m(o). Give c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -58 = 179.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3\/11, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnpnpnnnnnnn?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*b + 6. Suppose 0 = -2*y + 8 + 4. Let o be (y - -2)\/b + -3. Let x(u) = u**2 + 1. Let m(w) = -5*w**2 - w - 6. Give o*m(g) + 4*x(g).\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/17955 and -26\/15?\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (2 - -3 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 3241418.\nAnswer: 3\/1620709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 1 + 1)*(-6 + 0 + 1)*(3358 - 1864 - 2154).\nAnswer: 3300*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 59*x**2 + 377*x + 10. Let z = 13 + 10. What is the remainder when k(-6) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-38) - (2904\/(-152))\/1. Solve 0 = 12*y + d - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 1 - 16*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 14*n)*(-3 - 4 - 3)*(-1 + 0 - 1) in the form g*n + h and give g.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - (11 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166613160.\nAnswer: 2, 5, 54165329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9801 - -20578. What are the prime factors of x?\nAnswer: 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 985 + -985.05212. Let k = t - -0.057. Round k to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 509*r + 11672. What is l(22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4908 and 72?\nAnswer: 29448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 33*g + 21*g - 1078 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -22. Let n(r) be the second derivative of u + 0*r**2 - 2*r + 2\/3*r**3. Let b(a) = -a. Calculate b(n(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -121, 3 in decreasing order.\nAnswer: 3, 1\/12, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*c - 25*c - 13*k + 170 + 130, -c = k - 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*h + 20513 - 905 = 42*h. Solve -5 = -u + 4*m, u + 119 = -m + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 30316, 4, 1, -5.\nAnswer: -5, -1, 1, 4, 30316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((85\/110)\/(-17))\/(2\/(-4)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 + -245.6. Let n be (-88)\/6710*(15\/6)\/(-1). Which is the third biggest value? (a) n (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 23*x + 110. Calculate g(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 7*t**2 - 7*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1988 and -43\/896.\nAnswer: 63616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 + 2 = 0. Let h(d) = -d**3 + 2*d**2 - d + 1. Let a be h(2). Is j at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4600 + -4596. Solve p*q + 12 = -4*s + 32, q + 3*s - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -7*b + 9735. Calculate the greatest common factor of 59 and b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 4\/11, -3, 0, 162 in increasing order.\nAnswer: -3, -1\/31, 0, 4\/11, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15360496 by -4.\nAnswer: 3840124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 - 1.24. Let t = s - -1.2. Do t and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-3 + 3 - 2). Let o(d) = -3*d - 5 + d**2 - 2*d + t - 4. Give o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 3, n: 5, f: 1}. What is prob of sequence nkk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 0*r**4 + 16\/5*r**5 - 1\/2*r**2 + 0*r**3 - 280*r - 131. What is the derivative of s(q) wrt q?\nAnswer: 64*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5183744 equal to -5183741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 68, 314, 738, 1334, 2096, 3018?\n\"Answer: -z**3 + 95*z**2 - 32*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.7331 + 10.68. Round f to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137750 and 62.\nAnswer: 4270250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54554849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 5, 2\/7, 100\/499 in ascending order.\nAnswer: 100\/499, 2\/7, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3286 - -3292.3. Which is the second smallest value? (a) -2\/7 (b) p (c) -20 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/88704*-88*(14 - 0)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:05 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -5)*(-2 + -2). Suppose 5*i - 45 = -5*n, -3*i + 0*n + m = -4*n. Let y(x) = x**2 - 7*x + 1. List the prime factors of y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18 - 742\/42)*-1)\/(1\/(-33))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66414, 66397, 66378, 66357, 66334, 66309?\nAnswer: 66282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1297, -0.02, 0.1, -1 in ascending order.\nAnswer: -1, -0.02, 0.1, 0.1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 282, 433, 604, 801?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + 112. Suppose -4*m = -11 + 3, 2*g = 3*m + 10. Solve v = 2*l + 3, -3*v - 27 = -p*l - g*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - v + 3*v)*(-4 + 4 - 2) + (0 + 4 - 2)*(-8*v - v - 2*v + (-2 - 2*v + 2)*(0 + 2 + 0) + v - 8*v + 4*v) in the form q + r*v and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w - 5*d - 13 = -32*w, -2*w - 5*d + 101 = 0. Suppose -w*a - 1287 = -47*a. List the prime factors of a.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 107. Which is the closest to 0.1? (a) 1\/5 (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:25 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/13 (b) 16\/19 (c) 0.2 (d) -5\/29 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*l - 10555*l**2 - 346*l + 10570*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438, 874, 1306, 1734, 2158, 2578?\nAnswer: 2994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164746319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 2) + 4 + -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 739671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h - 3. Let j(l) = -19*l + 6. Let f(m) = -j(m) - 2*z(m). Let r(y) = 56*y. Determine -98*f(t) + 2*r(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42728.75 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 30 = -26. What is f rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159 - 112. Calculate the remainder when p is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38572707?\nAnswer: 3, 12857569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2, 5\/6, -77, -1\/2 in decreasing order.\nAnswer: 5\/6, -1\/3, -1\/2, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 45. Let h = -1 + c. Solve 4*r - 5*d - h = 0, 2*d + 3 = 4*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 30*p**2 - 70*p - 402. Calculate j(-28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p + 4. Let o(t) = -6*t + 5. Let q(y) = -4*o(y) + 5*s(y). Let m(n) = -3*n**2 + 2*n - 1. Calculate -m(c) - q(c).\nAnswer: 3*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2742 - -2754. Solve 7*k + 10 = j*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/7 - 1858*r**3\/7 - 81012*r**2 - 54227800*r\/7 + 804937744\/7 = 0.\nAnswer: -314, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 9*c - 6. Let d(z) = -4*z**2 + 6*z + 1. Let b(s) = 6*s**2 - 5*s - 3. Let v(l) = -4*b(l) - 5*d(l). Determine 5*j(o) + 4*v(o).\nAnswer: -o**2 + 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*d - 14*d - 4*d**4 + (4*d**4 + 0*d**4 - 2*d**4)*(-1 - 1 + 1) + (11*d - 17*d**2 - 11*d)*(3*d**2 - 5*d**2 + 0*d**2).\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -913 + 916. Solve -3 = -10*c - u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 79\/5*s**5 + 0*s**4 - 59\/2*s**2 + s + 183 + 0*s**3. Find the second derivative of y(q) wrt q.\nAnswer: 948*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s**2. Give b(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -49533.5938 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3 + 13. Let m(a) = -2*a**3 - 6*a**2 + 3. Is m(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13395283, -13395336, -13395389, -13395442, -13395495?\nAnswer: -13395548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let h be 297\/60*20\/24. Let l = -265\/72 + h. Which is the closest to 0.1? (a) m (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -287.8 + 296. What is b rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**4 - 2*q + 3*q**2 - 2052 + 2033 + 3*q**3 + 0*q**2 - 4*q**3 + q**2 to the form y*q**2 + g*q + m*q**3 + n*q**4 + p and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16638 - 16601. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-21))\/((-23)\/(-161)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:50 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 2\/(-8) - (-6 + (-3228)\/48).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284749 at least 284742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/(-28) + 12\/21 and -41\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 10*m**3\/3 + m**2 - 2*m - 276. Let z(f) = -10*f**2 - 3*f + 3. Give -3*p(h) - 2*z(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/110 and 19\/11401984?\nAnswer: 57009920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3 - (-164)\/(-54)). Let o = -43\/297 - y. Is 5 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:44 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17*u + 2. Suppose 12 + 4 = 3*v + 2*m, 2*v - 2*m - 14 = 0. Is z(v) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = 3*w. Let h(i) = -3*i**3 + 4*i**2 + 4*i + 3. Is h(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 - 142 + 146 - 47*r**2 + 13*r**2 + 6*r**2.\nAnswer: -13*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:26 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20623575*x**2 - 10306750*x**2 - 10316823*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - 5*g**2 + 7*g - 16. Let n(i) be the first derivative of -i**4\/2 + 2*i**3 - 4*i**2 + 17*i - 290. Calculate -6*f(u) - 5*n(u).\nAnswer: -2*u**3 - 2*u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 244669 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3*x**4\/16 - 3*x**3\/2 - 27*x**2\/8 - 96. What is s in g(s) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -913.\nAnswer: 6\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)*j)**46*j**6\/j**(-1\/12))\/((j**(-1\/4)*j)**(9\/2)\/(j\/((j**(-3)*j)\/j)*j\/j**(-2\/5))) assuming j is positive.\nAnswer: j**(1551\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.9 + 59.1. Let s = f - 77.842. Let n = s - 0.51. Round n to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 0.05 (c) -0.01 (d) -2\/29 (e) -93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-35*6\/294)\/(-5)*-21\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 + 180*m**2 + 15552*m + 435456.\nAnswer: 2*(m + 72)**2*(m + 126)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**5 + 3*t**4 - 34*t**3 + 15*t**2 + 6*t - 2. Let u(y) = y**3 - 1. Let b(x) = m(x) - 2*u(x). Solve b(q) = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -31 + 69 - ((-20)\/3 + 7\/(-21)). What is the greatest common factor of b and 2865?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 27*p + 50. Let u(v) = 1346*v + 8100. Let r be u(-6). What is f(r)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/6 - -7\/6. What is the third biggest value in 2\/3, -27, d?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/15 - (-16)\/10)\/(5\/(-125))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 244, 234, 208, 160, 84, -26?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/55)\/r**(-11\/6))\/((((r**(-6\/13)*r*r)\/r)\/r)\/(r\/(r*r**15))) assuming r is positive.\nAnswer: r**(-54349\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 8147 = -4*r + 8152, -2 = -2*t - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-3 + sqrt(320) + 3 - (sqrt(320)*3*1 - sqrt(320))) + (1*sqrt(320) + -3 - sqrt(320) - (3 + sqrt(320)*-4 - sqrt(320)))))**2.\nAnswer: -1536*sqrt(5) + 20624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -594 - -0.8366.\nAnswer: -593.1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 12669?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + ((-1*sqrt(275) - sqrt(275)) + 3)**2 - (6*(-1 + sqrt(275)) - sqrt(275))**2*5).\nAnswer: -7200*sqrt(11) + 167230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000586 to seven dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/222 and 47\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 15*q**2 + 25*q - 15. Let o be w(-11). Let a = -194 + o. Find t, given that a - 6\/5*t - 8\/5*t**2 - 2\/5*t**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85147 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36085842 and -326?\nAnswer: 36085516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5606239 (base 11) to base 6\nAnswer: -550424141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 + 136. Suppose m = 3 + 1. Which is the second smallest value? (a) m (b) v (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 1. Let u(j) = 2*j - 2. Suppose 2*d + 28 = 15 + 25. Give d*u(m) + 11*k(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 + 161 - (0 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(187)\/(sqrt(33)\/sqrt(3)))**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105214270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-12) - 1)\/(11\/(-88))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.34877863 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 118*u**3 + 72*u**3 + u**2 + 23158*u - 11578*u - 11579*u.\nAnswer: -46*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 - 3 = -5*f, 1 = f. Suppose -2*p + 4*s = -14, v*p + 0*p = -4*s - 18. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 2*d**2 + 8. Let r(m) = 5*m**3 + 10*m**2 + 40. Let x(q) = -2*r(q) + 11*z(q). Let p be x(0). What is the greatest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y - 4. Let s(r) = r + 1. Let o = -2 + 8. Let l(j) = o*s(j) - t(j). Does 14 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647 is divided by 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 15 = -10*g. Let m be (3 - -3)\/g + (-24)\/9. Which is the nearest to -2? (a) m (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 = 7. Suppose -4*c = -5*c + o. Is 978 + (-12)\/c - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 - -17.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1) + (0 - -1 - 13) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + 61 + (50 - 152).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**3 + 337*c**2 - 471*c + 110. Give s(36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/3 (b) -2\/11 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let a be (12\/10)\/(-1 - 45\/(-25)). What is the closest to -1 in -5, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 z when three letters picked without replacement from {w: 1, r: 1, o: 1, i: 1, l: 2, z: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**2 - 28*t + 90*t + 13*t - 40.\nAnswer: 5*(t + 8)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 65*i - 397. Let l be w(6). Let m(t) = 2*t**2 - 4. Let f(p) = 3*p**2 - 9. Determine l*m(v) + 3*f(v).\nAnswer: -5*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**4 - z**3 + 2*z**2 - z + 1. Let j(l) = 4*l**4 - 30*l**2 + 0 - 6 + 5947*l + 10*l**4 - 5945*l. Let a(w) = -j(w) - 6*x(w). Factor a(r).\nAnswer: -2*r*(r - 2)*(r + 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/11)\/y**(-11))\/(y**(-8)\/y**(2\/31)) assuming y is positive.\nAnswer: y**(6687\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 402775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z - k + 4*k, -k = -4. Suppose -5*o - 5*h = 40, -z*o - 15 = h + 3. Let v(c) = c**2 + 4*c. Does 4 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -8. Let k = z + 231. List the prime factors of k.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73056?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2. Suppose -g + 2 - 5 = 0, -4*o + 63 = -5*g. Let b = o + -8. Let i(d) = -d - b*d - d + 3*d. Give i(x(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (sqrt(13)*-2 + 5 - sqrt(13) - sqrt(13))**2.\nAnswer: -40*sqrt(13) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -344 - -346. Suppose g - u - 1 = 0, -3*u - 7 = r*g - 4. Solve -c - 8 = 2*n, -n + g*c = 2*c + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swa when three letters picked without replacement from {s: 1, w: 3, a: 9, k: 3, m: 2}.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n + 28 = j, 55 = 4*j - n. Suppose 0 = s + 4 - 69. Calculate the greatest common divisor of s and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732.421 centuries in millennia?\nAnswer: 173.2421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11588*j**2 - 26581*j**2 - 11343*j**2 - 15161*j**2 + 1671*j**2.\nAnswer: -39826*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 83 (c) 4 (d) -12 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12124 - 12019 + 36238 + 2*a - 12053.\nAnswer: 2*a + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((-8)\/(-96)*6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1799 and 395266.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/9 - 4*p**2\/9 + 51*p + 154.\nAnswer: -(p - 21)*(p + 3)*(p + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 + 15*v + 34. What is l(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1386 and 114.\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 6\/(-3) + 6. Suppose -2 = -f*j + 22. Suppose 0 = -4*b + 16, 2*d - 40 = 3*b - j*b. What is the highest common factor of 21 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006495659 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 18064?\nAnswer: 18063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-17 + -6 + (1 - -9) - -5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/(-40)*2242\/413?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 761301 divided by -4?\nAnswer: -761301\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6460 + -6441. Sort h, -3, -27, 2, -5 in ascending order.\nAnswer: -27, -5, -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906010687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-18)*((-6)\/(-1))\/((-26)\/39).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(64\/(-3))\/((-94)\/423). Solve -9*p = 3*p - u for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4417, -4290, -4107, -3868, -3573?\nAnswer: -3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 12. Suppose s*u - 324 = -0*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 41*n + 37*n - 28 = 0, 3*t = 4*n + 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, -108, 2\/7, 0, 2, 1 in increasing order.\nAnswer: -108, -16, 0, 2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 819 + -819.2. Let m(v) = v + 2. Let i be m(4). Put -2, i, j in decreasing order.\nAnswer: i, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 2*y**2 - y - 4. Let s be w(3). Suppose v = 5*b + 41, -b = -v - s*b + 11. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8515?\nAnswer: 5, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 - 300 = -47*d. Let a be (-3 - d)*-3 - (10 - 9). Is a >= 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p - 12, 0 = -3*r - p - 3. Suppose r = n - 3*n + 34. Calculate the greatest common factor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 390*u + 3025*u + 4 + 2258*u to v*u + s and give v.\nAnswer: 4893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.8 in 2\/55, 1, -2\/13, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -44*d - 16. Put 0, d, -24 in decreasing order.\nAnswer: 0, d, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 860, 1936, 3442?\nAnswer: 5378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 268\/(-66) + (-8)\/(-132)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-4)*66\/(-15). Suppose 59 = 4*g + t. Suppose i + 0*i = 2*a - 49, a = -5*i + 8. What is the remainder when a is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*k + 1848*k + 1537*k - 249804 = -84*k for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4 - 6, 5 = -5*p + 4*d. Suppose g - 70 = 202. Let v be g\/(-80) + (-2)\/(-5). Put v, p, -2 in descending order.\nAnswer: p, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35550*p = 35384*p - 4980 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6392664 by 4.\nAnswer: -1598166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 + 7*k + 5. Suppose 4*v - 4 = -3*u, -4*v = 4*u - 7*v - 47. Let p(t) = -t + 4. Let r be p(u). List the prime factors of q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 19*l + 8*l + 10 - 16*l. Let n be u(-1). Let p(d) = 5*d**3 - d**2 + 1. Let h be p(-1). Put n, 3, h in increasing order.\nAnswer: h, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14543\/(-8) - (4 - 4). Let u = -1815 - f. Calculate the common denominator of u and 103\/24*-1*2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0 + 2 + 7*o - 5 - 4. Let n(d) = -4*d + 4. Give -3*a(l) - 5*n(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 189718708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + 3 + 4 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-27)\/(-6))*-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or 1254?\nAnswer: 1254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89079695 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: What are the prime factors of 90748?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:35 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38707\/8 + -4832. Suppose -2*c + 14 = t + t, -3*t + c + 13 = 0. Find the common denominator of (-1042)\/(-240) - (-1)\/t and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 181.04\nAnswer: 18.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2121000?\nAnswer: -2121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4236 - 4293.6. Which is greater: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79836331 and -117.\nAnswer: 79836214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*g = 11 + 9, f - 16 = 4*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 20 = -2*d, -5*d - 3 = -2*f - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 500657*z**2 + z - 1635413?\nAnswer: 1001314*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 44*k**3 + 3*k**2. Let y(f) be the second derivative of -319*f**5\/5 - 22*f**4\/3 - 2*f - 2823. Give 88*b(j) + 3*y(j).\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*n + 2506900 = -23*n. Round n to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-68) + (-15)\/((-1140)\/1919)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 14*b**2 + 14*b + 6. What is c(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1270?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/7 - 12648645*y**2 - 354162024*y\/7 - 354162012\/7.\nAnswer: -3*(y + 2)**2*(y + 29513501)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 - 3174*n**3 - 13213935*n**2\/4 + 232034139*n\/2 = 0.\nAnswer: -2133, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + 37?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c**2 - c + c**2 + c - 4*c**2 - c. Suppose 0*v = v - 19. Suppose -3*b = -4*z - 16, 3*z - 3*b - b + v = 0. What is t(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -3, 9150.\nAnswer: -88, -3, 9150","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*(6 - -36). Let z = -13 + h. Is -7 + z - (-1 + -2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = 2*n. Solve -t = 5*k - 9, 5*k = -n*t - 11 + 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, -2, -1, 59.\nAnswer: -4, -2, -1, -0.5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/176 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41517022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -32, -30, -10, 34, 108, 218, 370?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3556 + 3?\nAnswer: -13.3556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5*w**2 + 4478*k**4*w**2 - 52*k**2*w**2 - 5*k*w**2 - 12*k*w wrt k?\nAnswer: 60*k**2*w**2 + 107472*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 217 = 5*p, h + 4*p - 172 = 4*h. What is the tens digit of (h\/6*-1)\/(28\/336)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 5)*(-3*f**3 + 2*f**3 - f**3) - 13*f**3 + 1 + 1 - 11*f**2 + 10*f**2 to h*f**3 + w*f + y + c*f**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 986 - 646. Calculate the remainder when n is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:00 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - -2 - -18 - (-9 + 7 + 0)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249019, 248959, 248899, 248839, 248779?\nAnswer: 248719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103347796 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5 + 0 + (2 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2305, 4, 17 in ascending order.\nAnswer: -2305, -2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -584811807*g**2 + 326191733*g?\nAnswer: -1169623614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/523 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, n: 2, f: 1, y: 2, x: 1, l: 5}. Give prob of picking 1 x and 2 l.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(sqrt(40)\/sqrt(2) - sqrt(20)))**2 + (6*sqrt(30)\/sqrt(6) - (4 + sqrt(5))*-4)**2 + 3.\nAnswer: 320*sqrt(5) + 760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.82 + 1.4. Let j = v - -0.02. Let w = j - -0.2. What is the nearest to w in -1, -5, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 987 - 283. What is the units digit of (-15)\/30*2*2 + t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317 - -331. What is the second biggest value in 0, m, 4\/7, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/25? (a) -11 (b) 9 (c) -1.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 41748 = -4*w. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -2 - (3 + -4)*0. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a4 - -ba?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -11.7. Let g = 17 - h. What is the second biggest value in g, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2 + 243918*z - 45507759 = 0.\nAnswer: 187, 81119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19 - -4.695\nAnswer: 23.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 29*q - 144. Let s = 32 + -22. Calculate the remainder when r(-35) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2365*u + 124871 + 52504 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*sqrt(176)*-6.\nAnswer: 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79138 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d - 2*a + 114, -171 = -3*d + 3*a. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 24 = -3*k. Let m = -16 + k. What is the common denominator of 55\/14 and 1*(142\/m - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:52 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2460*o + 1037*o - 3978*o.\nAnswer: -5401*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2337 = -3*o, o + 15*h = 20*h + 790. What is the highest common factor of 31 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*d - 6, d + 0*a = a - 3. Suppose 2*j - 3*j = d. Suppose -2*p - r + 0*r + 1 = j, -2*p - 5*r = -5. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46654 divided by -4.\nAnswer: -23327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from wdwddwwi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12430861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46287 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in days?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 + 56*q**3 - 175*q**2 wrt q?\nAnswer: 120*q**2 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 13*q + 6 = 0. Let r = 4 - 3. Is r less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1517 and 90077.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12104 (base 7) to base 3\nAnswer: -11022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiff when four letters picked without replacement from {q: 1, z: 1, i: 2, g: 4, p: 2, f: 7}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 83*i - 63. What is the remainder when 10\/(4\/(-22)*-1) is divided by k(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/22854 and -43\/12?\nAnswer: 45708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -8 + 0*j**2 + 0*j**4 - 117\/20*j**5 - 11*j - 64\/3*j**3. Find the second derivative of s(i) wrt i.\nAnswer: -702*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-54) + 28\/(-96)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(220)*2)\/(sqrt(55)\/(sqrt(11)*5)) + 2)*-4.\nAnswer: -640*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12192 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/7 - 10846*x**4\/7 + 163098*x**3\/7 - 228538*x**2\/7 - 772040*x\/7 + 848328\/7 = 0.\nAnswer: -5438, -2, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529367.\nAnswer: 3, 7, 19, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/620)\/(132\/5)*(-18)\/21*-14.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/3420 and 199\/2280.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilh when three letters picked without replacement from xlhilllle.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 7. Let c = 19 + h. Let r(u) = 3 - c*u + 9*u - 3. Let b(t) = 2*t**2. Determine r(b(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 + 0*f**4 - 256*f**2 - 4*f**4 + 3 + 0*f**4 + 255*f**2 to the form v*f**2 + n*f**3 + c + g*f + w*f**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485 = 24*v - 136 + 409 - 940 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -10. Let b be 4 + -2 + 2 + v. Suppose b*s - 176 + 36 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*w + 301. Let v = w + 112. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o = 40. Let q = o + 6. Let m = 4 - q. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8115 is divided by 76?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6241, -6012, -5783, -5554, -5325, -5096?\nAnswer: -4867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -51*x + 631 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994762977.\nAnswer: 163, 2927, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = h - 11, 2*k + h + 5 = -8. Let s(r) = 5*r + 2 - 6*r + 0*r. Give s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*f**3 + 15*f**2 + 370*f + 27.\nAnswer: -768*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 60 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-864) + (-9919)\/168. Put -1\/5, 0.3, n, -1, 0.4 in decreasing order.\nAnswer: 0.4, 0.3, -1\/5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/29)\/((n\/(n*n\/((((n*(n*n**(2\/9))\/n)\/n*n*n*n*n)\/n)\/n)))\/n)*n**2*n**(2\/7) assuming n is positive.\nAnswer: n**(3896\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7093 is divided by 427.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 381816 divided by 6?\nAnswer: 63636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 50. What is the tens digit of c(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((0 - 8) + 2) - (10191 - 10223).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hththhhh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 10 - (-157 - -156).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -20.75.\nAnswer: -20.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -532878841795?\nAnswer: -532878841795.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 + 1899 - 3781 + 1898 - b + b - b**2 - 1 + 1 - 2*b**2 + (-b - 2*b + 5*b)*(1 - 1 + 2*b) to the form h*b**2 + t*b + z and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 + -1130?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6138.903 to the nearest one hundred.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 6 = 0. Suppose 6 = -0*j + w*j. Suppose -z = -5*g - 27, 12 = -g + 7. Solve -m + z + j = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95546561717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 17*a + 8. Give k(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*l**2 + 21*l**2 + l**4 + (0*l + 0*l - 3*l**2)*(4*l**2 - 8*l**2 + 7*l**2).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 4 = -2*g + 2*w, 3*g + w - 5 = 0. Let h be -2 + g\/(6\/20). What is the greatest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 6 + 6 + 3*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*f + 2870 = 63*f - 131*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 22*q**2 + 111*q + 184. Let n be m(-26). Let g(c) be the first derivative of -33\/2*c**n - 363\/2*c - 23 - 1\/2*c**3. Factor g(y).\nAnswer: -3*(y + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 12*x = 0. Let o(d) = -d. Let s be o(-2). Suppose 4*t - 3*j + 6 = 0, -6 = j + s*j. Put t, -1, x in descending order.\nAnswer: x, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 + 29*u + 5. Let r be o(0). Let q be (-1 - -2) + -3 + 1. Let n be (-28)\/(-6) - q\/3. Solve -4*j + 2*j - n*d = 8, -3*d - 11 = -r*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**3 - 2*h**2 + 2. Let c(y) = -16*y**3 + 7*y**2 - 7. Suppose 6*l - 15 = -51. Determine l*c(r) - 21*i(r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i + 273 = 40*i. Solve i = 9*t + 57 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -423 + 421. What is the nearest to 1\/3 in -4, r, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*k**5 + 120*k**3 + 41*k**2 - 30?\nAnswer: -2340*k**2 + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q + 40652 = 4169 - 8237. Suppose 2*x = -5*z + 209, 3*z = 2*z - x + 40. Calculate the greatest common factor of q and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 7*j**2 - 31*j + 2 - 1. Let d(s) = 11*s**2 + 50*s - 1. Let r(a) = 5*d(a) + 8*i(a). What is the tens digit of r(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27589298 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2959 + 3007. Let t be 2*(-7)\/(-2)*-1. Let o = t + i. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21062297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/9))**(6\/5)*m**(-3\/2)\/m*m**(-1\/3)\/m assuming m is positive.\nAnswer: m**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6446*j + 408*j - 603*j - 2441*j in the form z + t*j and give t.\nAnswer: -9082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -30 - (2 + 0) - (15 - 21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 5, w: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.5 + -2.5. What is the biggest value in 0.1, t, -2\/19, 2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 14*r**5\/5 - 65*r**4\/2 - 944*r**3\/3 + 140*r**2 - 2403. Factor k(x).\nAnswer: 2*x*(x - 14)*(x + 5)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + v, 3*n + n - 9*v = -7*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**7\/4200 + i**5\/600 - 13*i**3\/6 + 2*i**2. Let x(c) be the first derivative of b(c). Factor x(k).\nAnswer: -k*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 28*u - 12*u - 196 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22717 is divided by 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 85*m + 12. Let q(d) = d**2. Give q(o(w)).\nAnswer: 7225*w**2 + 2040*w + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k**2 - 4*k + 4. Let p be 756\/(-216)*(-20)\/(-14). Let d(j) = -26*j**2 + 5*j - 5. Calculate p*l(f) - 4*d(f).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 467910114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/598 and 73\/22?\nAnswer: 6578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -53*s + 17*s + 14*s + 13*s + 12*s. Let u(d) = 7515*d. Determine u(g(x)).\nAnswer: 22545*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 2*u. Let y be x(2). Let s(o) = o + 0*o - 2 + y. Let b be s(8). Solve 3*c - 2 = b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9437, 18878, 28317, 37754, 47189?\nAnswer: 56622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u - 1. Let b(q) = 14*q**2 + 2*q - 3. Let j(t) = b(t) - 3*g(t). Calculate j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*z + 15*z + 7*z)*(5*z**2 - 4*z**2 + z**2) + (3*z**2 + z**2 + 3*z**2)*(z - 3*z + z) to the form s*z**3 + q*z**2 + x*z + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1190 + -0.4\nAnswer: 1189.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Let a be (-49)\/(-28)*26\/273. Let q(g) be the second derivative of 9*g - 1\/2*g**2 + a*g**3 + 0. Determine j(f) + 2*q(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.75923l in millilitres?\nAnswer: 9759.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 4, l: 1, x: 3, g: 2}. What is prob of sequence lxgg?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + ((-5619460)\/1204)\/55.\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-9 - (-259)\/28). Which is smaller: n or -25\/282?\nAnswer: -25\/282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.9426464.\nAnswer: -5.9426464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqgi when four letters picked without replacement from ggqiigi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065948036 rounded to six decimal places?\nAnswer: -0.006595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 4953.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 720 = -3*t. Let h be (8\/12)\/(16\/t)*86. Let a = h - 151. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-27) + 40\/(-360) + (-80)\/(-3). Solve 5*f - 2*d + 23 = 0, 3*d = -18*f + 23*f + g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79\/5 - -321\/20. Let g(n) = n**3 - 4*n**2 - n + 2. Let y be g(4). What is the closest to 1\/2 in -2\/3, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699044412 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -518 or -508?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = -8*f - 1009. Let p = f + 197. Solve 0 = -7*h - p - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 6. Let d be f(0). Let m(n) = -2*n + 7. Calculate m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97908649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*a**2 + 7*a**6 + 8*a**6 - 3*a**6 wrt a.\nAnswer: 1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 8 + 1 + -1 - (0 + 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26286 = 30*r - 7254. Let a = 1676 - r. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114846.98 times 13?\nAnswer: -1493010.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1456087.44357 - -1456096. Let b = -8.56 + s. What is b rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-2))\/((1595\/2871)\/(8\/6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5652164*w**3 + 38*w**2 + 2*w + 10834 wrt w?\nAnswer: -33912984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/86 + (-94622)\/(-20812))\/(1\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87180 <= -87187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.636 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/45, -0.3, -93, -33 in increasing order.\nAnswer: -93, -33, -0.4, -0.3, -1\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (883 - 858) + 2 + 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 5*k + 8. Let f be j(-6). Suppose 0 = -5*z + f + 13. Which is the nearest to -1\/3? (a) -3 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:55 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n - 40 = 0. Suppose 5*x - 3*g - n = 0, 5*x - 5*g - 5 = -3*g. Is -2 - -4 - 209\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.770042 litres to millilitres.\nAnswer: 1770.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*x + 14149 + 2067 = -6920 - 3904 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -51.039. Let h = 0.061 - p. Put 1\/4, h, 1, -2\/3 in ascending order.\nAnswer: -2\/3, h, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6010 + -6004. Let v(m) = 5*m - 14. Let s(h) = 9*h - 27. Let o(g) = 4*s(g) - 7*v(g). What is o(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 67 + 35. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(2 - 2*f - 8 - 3).\nAnswer: -4*f - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Suppose 5 = 3*v - 4. Let y(n) = -n**3 + 3*n**2 + 2*n - 4. Let z be y(v). Let x(c) = c - c - z*c. Determine x(q(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x - 6 = 0. Let i = 2 + x. Suppose 6 = c - 3*h, 4*h = -i*c + 3*c - 23. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2187 divided by 1\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39154260 to the power of 1\/2, to the nearest integer?\nAnswer: 6257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + l - 9. Let z be i(11). Let q = -121 - z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7978 + 8023. Solve 36 = 9*o - j*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -31. Suppose 0 = -5*o + 1 + i. Is 2 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 13 = 2*z + z, 5*z + x - 21 = 0. Suppose -5*d = -z*a, 2*d + 0*d + 3*a - 23 = 0. Solve -5*o + d + 11 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694*l = -684*l - 193540. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(456))\/sqrt(8))\/sqrt(3)*-6 + -3 + -2 + (-1*2*sqrt(228))\/sqrt(12).\nAnswer: -14*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - n**3 + n**3 + (0*n**2 - 5*n**2 + 3*n**2)*(1021 - 1021 - 56*n**2).\nAnswer: 110*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102079051771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 125624071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*a - 8833 = 0, 412*g - 407*g - 11024 = -2*a. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166942 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677 - 61*a + 128 + 92 + 84*a.\nAnswer: 23*a + 897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -143, -548, -1379, -2786, -4919, -7928, -11963?\nAnswer: -17174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3214, -3092, -2894, -2626, -2294, -1904?\n\"Answer: -b**3 + 44*b**2 - 3*b - 3254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5 = 3*x + 10, -2105*h + 2107*h + 5*x + 25 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 3*m - 16*m - 3*m**3)*(-2*m**2 + 0 + 0).\nAnswer: 2*m**5 + 26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-3 - -1))*-1. Suppose -3*q = 4*j + 17, -u*j = -6*j - 2*q - 18. Let w be 1*(j\/(-4) - 2). Put -1\/5, 2\/5, w in decreasing order.\nAnswer: 2\/5, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21157 = 6*f - 52523. Suppose 8*a = -f - 10376. What is a rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1328712*n**2 + 2103684*n?\nAnswer: -2657424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 2*r - 5. Let a be l(5). Let m(w) = -w**2 + 5*w - 1. Let p be m(4). Suppose 13*f + 4 - 4 = 0. Solve x - p*x - a = f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2\/11, -0.4, 4, -4, -810?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27857, -111419, -250715, -445763, -696581?\nAnswer: -1003187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + (-1)\/(-5 + 4). Suppose -3*f + 18 - 6 = 0. Let n(r) = 23*r - 6. Let t(k) = 8*k - 2. Determine f*n(m) + g*t(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 226944.18 hours in days?\nAnswer: 9456.0075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2274458876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:06 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1401 + 0?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2\/15*g**2 - 2\/45*g**3 + 2\/75*g**5 - 1\/15*g**4 - 4 + 0*g. Factor m(i).\nAnswer: 2*i*(i - 2)*(i - 1)*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5646)\/522 - -11)*(-3)\/4.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiybkba. Give prob of sequence yb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804781*w = 1804700*w - 2835 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 188 + -135849?\nAnswer: -135661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-8 + -3 - -5) - ((17 - 3) + -52).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**5 + 240275*n**4 + 3604935*n**3 + 15141805*n**2 + 11777150*n = 0.\nAnswer: -7, -1, 0, 48070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c - 11. Let n be o(-2). Suppose -n = -3*l - 6. Let x(b) = -2759999*b - 5. Let t be x(l). What is t rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.182 - -9.882. Round s to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 less than 1.6?\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (225\/2)\/((-3)\/24*2). Let w = 458 + g. Solve 0 = w*o - 15 - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*o + 3*o + 2*y, o + 2*y = 12. What is the biggest value in o, 1\/3, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i. Let v be k(-4). Let r be (3\/(-3) - -1)*-1. Suppose x + 2*g = -x + v, r = -3*x + 5*g - 8. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245779460.1 rounded to the nearest one hundred thousand?\nAnswer: 245800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*f - 75 = 30, 5*f = 0. Let k = h + -37. List the prime factors of (21\/6)\/((-2)\/k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 - -12163?\nAnswer: 12246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/3 - 0. Let l = 10 - 6. Which is the closest to m? (a) 2 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 26*h**2 + 1467*h + 15339. Give n(-14).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - -1) - (26 - 26).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -2 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000613578477 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -32 (c) 0.2 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**22)**(-36) assuming c is positive.\nAnswer: c**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 - 1 - 3 - (27 + -28))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 3*b - 3. Let s be w(-4). Let j be s\/5 - 4\/(-10). Let o = -1 - j. Solve 3*a = -o*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -1907, -4295, -7649, -11975, -17279?\nAnswer: -23567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -203*w**2 + 17867*w - 253. Calculate d(88).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12589 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/783 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-1 - -3) - -116. What is the remainder when ((-57)\/(-38))\/(2\/q) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 86*x - 3272. What is the remainder when 2940 is divided by m(55)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/3 - 6)\/(1 + -18)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -27. Suppose -3*x - 5*h + 16 = 0, -5*h = 4 - u. Factor i**x - 1\/2*i - 1\/2*i**3 + 0.\nAnswer: -i*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6 = 4*o + 6, -3 = 4*o + 5*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Suppose -4*h + 5 + 3 = 0. Let s(y) = 18*y**2 + h - 2. Give a(s(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 4*k - 2*x, 0 = 4*k - 4*x - 88 - 300. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (3*sqrt(133)*-2 - sqrt(133)))\/sqrt(7))**2*-4 - ((2 + sqrt(304) + sqrt(304) + 3*sqrt(304))*6)**2.\nAnswer: -278608 - 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-68661)\/36 - -10)*-4 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(152) + sqrt(152))\/sqrt(8) - -1*sqrt(19)*6*-6)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17*h**2 + h - 6. Let f be y(2). Let x = -46 - f. Find the second derivative of 8*k**2 - x*k + 6*k**2 + 22 - 22 wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 4*z + 32, 2*u = 3*z + 21. Solve 3*n + 0 - u = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21335 is divided by 184.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -94092933 divided by -1\nAnswer: 94092933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 2*y**2 - 6*y. Let q(x) = x**3 + x**2 + 5*x. Let l(n) = -n**2 + 17*n - 26. Let v be l(15). Calculate v*q(r) + 3*z(r).\nAnswer: -2*r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -415 + (-3 - -35)\/4. Let r = f + 1305. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 1784*i - 103584 = 0. What is i?\nAnswer: -498, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 11. Suppose 3*f + 39 = 2*a, m*f + 43 = 4*a + 3*f. Calculate the lowest common multiple of 6 and (a\/9)\/((-2)\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 3*g**5\/20 + g**4\/12 + 13*g**2 + 7*g. What is the third derivative of y(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*b + 7 = 0, 5*i + 0*b + 5*b - 5 = 0. Suppose -l + i*l = 40. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.46936099 * -4\nAnswer: -13.87744396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 28*k - 6. Let c(l) = -l + 1. Let t(v) = 8*c(v) + r(v). Does 14 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) + (-4)\/(-18). Suppose w = -2*n + x + 7, 2*n - 5*n + x = -9. Let c = -5.3 + 4.3. Sort -2, n, c in increasing order.\nAnswer: -2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z - 4. Suppose x + 16 = -5*p - 5, -4*x - 5*p = 24. Let y be (1600\/z)\/(x\/(-250)). What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 0, -4*t + 8 + 4 = -2*m. Suppose -t*a = -5*d + 3655, -5*a + 10 = -7*a. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265696 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -20 (c) 3 (d) 0.0505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3925 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/62834 + 82215349\/26390280. Let c = -1\/105 - p. Calculate the common denominator of 4\/(-10) + 1533\/120 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 7, o: 5}. Give prob of picking 2 l and 2 o.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q = 17*q + 99. Solve -6*n + 3 = -3*n - 3*u, 0 = -n - u - q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6962122 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21.7? (a) -1 (b) -2\/9 (c) 5 (d) -5\/19 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -0.4. Let u = 5.25 - 4.95. What is the nearest to u in -0.5, n, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -179, -271, -377, -503, -655, -839, -1061?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.1 + -11.9. Let f = g - -47.02. Let c = 1 + -3. Are c and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/3 - 2*-2. Suppose -w*o + 36 = -o. Calculate the remainder when 21 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 977\/2 + -488. Let c(i) be the first derivative of -1\/3*i**3 + i + o*i**2 - 9 - 1\/4*i**4. Factor c(v).\nAnswer: -(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/460 and 11\/16?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + k - 15. Suppose 0*b + 27 = k*b. Let w be (324\/30)\/((-4)\/(-10)). Calculate the greatest common divisor of w and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55308 and 24.\nAnswer: 110616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Suppose -5*v + 4*v = -2*s, o = -5*v + 2*s. Suppose -f - 2*f = v. Which is the nearest to 1? (a) -0.2 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -14488, 4, 2 in descending order.\nAnswer: 4, 2, 0, -3, -14488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h + 485 - 229 + 202 to the form o*h + f and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(2*sqrt(5)) - sqrt(28) - (sqrt(28)*-1*-4 + sqrt(28)))\/(sqrt(64) + 6*2*sqrt(64)).\nAnswer: -11*sqrt(7)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 44240044?\nAnswer: 44240100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -110 from -1697785.\nAnswer: -1697675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:06 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-4) - ((-271330)\/(-200))\/(-631).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 8*g**2 + 46. Let y be 6 - (8 - 6)\/(5 + -7). Give f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(539) + (sqrt(539) - (sqrt(539) + (sqrt(539) - (-5*(sqrt(539) + 2 - sqrt(539)) + sqrt(539))))) - (-2*sqrt(539) + 5))*6*-5)**2.\nAnswer: -1701000*sqrt(11) + 13705200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840 + 2 - -4 - (-18)\/(-3)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g\/(g*g**(-1\/3))*g))\/g)\/g)\/((g\/(g\/(g\/(g\/g**(-18\/7)))))\/g))\/(g\/g**20*g*g\/g**(-1\/5)) assuming g is positive.\nAnswer: g**(1894\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*x = 159*x - 30. Calculate the smallest common multiple of -1 - 22\/(-4)*2 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 13*m + 11 - 23)*(2*m + 0 + 0) + 4*m**2 - m**2 - 2*m**2 - m**2 - m**2 + 4*m**2 + (4*m - 4*m - 2*m)*(93 - 93 + 5*m) as h*m + g + c*m**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 99\/5. What is the second smallest value in 1\/10, -33, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 1246, 3010, 5480, 8656?\nAnswer: 12538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9351*q**4 + 4*q**2 + 5*q - 5?\nAnswer: -224424*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 713*(-3)\/564 + 11\/(-44) - -4?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*c + 29*c + 85*c + 103*c**2 + 42*c wrt c?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7302\/(-270) - (-16)\/360) + -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8660*c - 8983*c + 646 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7650*g + 7646*g - 2*f + 18, 11 = 3*g + 4*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 54*u**2 - 113*u + 94. Determine v(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 + 8*f - 7. Calculate o(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-12))\/(-2) - 8\/(-3). Suppose x + 5 = 2*x + 5*r, -5*x + i*r = -25. What is the fourth biggest value in 0.5, 1\/6, 3, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 499.5961 hours?\nAnswer: 1798545960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 393933*w**2\/2 + 3545235*w.\nAnswer: w*(w - 393915)*(w - 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Let r be (4\/(-10))\/(1\/(-10)). Suppose 0 = -5*z - 4*g - 10, -8*z - f*g = -r*z + 12. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 299152122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3.3. Let u be (-13)\/4 + (-5)\/(-20). Let t(h) = -h**2 - h + 1. Let x be t(u). Which is the second smallest value? (a) m (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 206459021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 16) to base 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/2 or -11?\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14 + (-819)\/(-3675)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*d - 2. Suppose -6*w + d*w = 5*b + 1, 9 = -b - 3*w. Let u = 4 - b. Sort u, -3, 3.\nAnswer: -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(((w\/(w*w**(2\/7))*w)\/w)\/w)\/w)\/(w*(w\/w**(-4))\/w))**(-2\/5)\/((w\/(w\/(w*w\/(w*w*w*w**0))))**(-46)\/(w**(-1\/3)*w**1)) assuming w is positive.\nAnswer: w**(-4496\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*y - 48*y + 7*y**2 + (y + 0*y + y)*(-4 + 2*y + 4) - 3*y**2 + 0*y**2 - 2*y**2 + (14 - 14 - 10*y)*(0*y - 2*y + y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 36*g + 81. Let m be z(9). Sort -21, m, -6.\nAnswer: -21, -6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:53 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 5*v - 20 = 5*y, 7*y = 2*y + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 + 4170*w + 7245375.\nAnswer: 3*(w + 3475)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6540 and 62215565?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 255 = 7*d. Suppose 26*o = d*o - 132. What is the units digit of ((-6)\/4)\/((-2)\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-12))\/p*p)\/p**(-6) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 757189? (a) -2\/3 (b) 43 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 1, j: 6, x: 2, a: 6, b: 3}. What is prob of picking 1 a and 1 x?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((-5)\/(-40)*-12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6\/(-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48162 and 330?\nAnswer: 2648910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttckttttt. What is prob of sequence ct?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*a + 117484 = -764*a - 1230*a for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) -3\/7 (d) -4 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -85 (b) -0.03 (c) 0.3 (d) 1\/3 (e) -2\/19 (f) 0.08 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000741830835 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h, -5*h = -4*i - 8*h + 6180. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (20 - (-13 + 30)) + (-20 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 + 2. Put r, -0.1, 1 in descending order.\nAnswer: 1, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w**4\/19 + 2*w**3\/19 + 96*w**2\/19 - 8*w\/19 = 0. What is w?\nAnswer: -2, 0, 1\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1004*n - 88 wrt n.\nAnswer: 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/200 and 61\/5630.\nAnswer: 112600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2, 6, -101 in decreasing order.\nAnswer: 6, 2, -1, -6, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3299314479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s. Let z = 0.31 + 12.69. Let t = -15 + z. Which is the closest to 1\/4? (a) t (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84429 + 1509338 = 59*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - o**2 + 91 - 2*o + 2*o**2 - 84. What is the tens digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*t - 4*s, -4*t + 12 = 4*s - 36. Suppose -2*p = -p + 3. Let y be (-4)\/2 + (2 - p). Solve 0 = y*g - g + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2. Let p(z) = -z**2 + 2*z. Let u(y) = y**2 - y. Let a(t) = -p(t) - 2*u(t). What is a(v(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 32. Let q be k(-5). Which is the third biggest value? (a) 3 (b) q (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 124385476*z - 248770968.\nAnswer: 4*(z - 31096371)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 17*v**2 + 16*v + 3. Let j = -494 + 495. Let c be 5 + -4 + -18 + j. Determine o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from drsrnrorsrss?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-204)\/72)*(77 - 9\/(27\/(-3)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5878 - -10870. Is p a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 151 - 80 = 0. Suppose -1 = 5*d - z. Let p = 0.5 + -3.5. Which is the closest to 2? (a) p (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o**2 + 5. Let x(b) = 9985*b - 3. Give x(w(p)).\nAnswer: 139790*p**2 + 49922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 369*q. Let y(v) = 70*v - 2. What is y(t(g))?\nAnswer: 25830*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*5925.\nAnswer: -4147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -568\/11 + 29437\/572. What is the common denominator of b and (-6 + (-1053)\/(-26))\/(-2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, c: 9}. Give prob of sequence ccj.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 111*b**2 + 8*b + 4. List the prime factors of x(-3).\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154 = 103*t - 25*t + 562 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*s**2 - 18*b**2*s + 36*b**2 - b wrt s.\nAnswer: -6*b**2*s - 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/6*6\/(-4). Let k be 5\/c*(-5 + 7). Suppose k*r - 7 = -2. Solve -5*w + 5*n = 15, 0*w - 5*n - r = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -179.\nAnswer: -179, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-3*(-1)\/(-2). Let c = l - -2. Which is bigger: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 - 12 = 0. Let m be (-2 - 2)*(3 + u). What is the units digit of m\/12*(2 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tztzvzt. What is prob of sequence tz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -g + 2*o + 27, 16 - 10 = g - o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35896 and 724330?\nAnswer: 20281240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -3*w. Suppose 4*p - 5*v - 13 = 0, -5 = -p + 2*v - 1. Let i(r) = r + p*r + r. Determine i(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 624?\nAnswer: 5\/624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/10 + 438\/12 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25083?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -122254000 rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, -7, -13 in increasing order.\nAnswer: -13, -7, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -14, -18, -5, 1, 5 in decreasing order.\nAnswer: 5, 1, -5, -6, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(1\/2)*q)**(6\/11))**(3\/5))**(-3\/29))**(-37) assuming q is positive.\nAnswer: q**(2997\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/20 + 24\/15. Let w(r) = 3 + 2 - n + r - 6. Let m be w(7). Solve 5*i + 11 + m = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 2*h - 3*h)*(32*h - 9*h + 31*h)*(2*h - 3*h + 2*h + (-3*h - h + 2*h)*(1 + 1 - 1)) as n*h + i + s*h**2 + u*h**3 and give u.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(1 + 10\/(-4)). Calculate the remainder when x\/(-12) + 875\/20 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q - 5 = -n, 5*n - 6 = -4*q. Let l(a) = 19*a - 26. Let y be l(2). What is the third derivative of y*t**3 - 27*t**n - 12*t**3 - 5*t**5 wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 1. Let i be v(-1). Let g be (-3)\/((-241)\/(-30) - 8). Let x be 166\/18 + 20\/g - 4. Put i, -3, x, -12 in decreasing order.\nAnswer: x, -3, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 22. Let g be (5 - -2) + (p - 4). Suppose 0 = -3*d - x, 2*d + 0*d - x = -g. Sort 0, d, 1, 2.\nAnswer: d, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-2 + 21\/9). Let n = 16.6 - 21. Let l = 0.6 - n. What is the third biggest value in l, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5807 + 2902 - 37*x**2 + 2894)*(-1 - 10 - 1)*(2*x - x - 2*x) in the form j + u*x + g*x**2 + y*x**3 and give u.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1971.2516.\nAnswer: -9856.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -25\/178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1228272790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 1089?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/7)\/(407\/37037))\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 2*c + 10, -5*r = 4*c - 25. Let z be (-12)\/4 + 7 - -4. Let j = z - r. Solve -3*b + 4*v = -2*b + 5, 0 = -j*v + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 - 276.1. Let d = -26.9 - w. Let y = -4.05 - -0.05. Which is the closest to -0.1? (a) y (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*v + 6 - 1, -u - 3 = 3*v. Suppose 0*m - 6 = -3*m + 3*h, 0 = h + 2. Factor m*s**u + 0*s - 1\/4*s**4 - 1\/4 + 1\/2*s**2.\nAnswer: -(s - 1)**2*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5606408, -5606407, -5606406, -5606405, -5606404?\nAnswer: -5606403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Let a be (-1 + h)\/3*12. Sort 2, a, -1 in increasing order.\nAnswer: -1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(425) + sqrt(425))*5 + 2 + sqrt(68) + 1)**2.\nAnswer: -138*sqrt(17) + 9002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18117, -18112, -18119, -18144, -18193, -18272, -18387?\n\"Answer: -b**3 + 12*b - 18128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3665012599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1267377*u**2*x**5 + u**2*x - 1808194*u*x**2 - x**6 wrt x?\nAnswer: -76042620*u**2*x**2 - 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(208))**2 + -5 + -2 + (1 + sqrt(13) + -5 - -5*(sqrt(13) - (-2*sqrt(13) + sqrt(13)))**2)*5.\nAnswer: 5*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r + 24 = 0. Let m be (r\/(-6))\/(-1) + -1. Which is the closest to m? (a) 2 (b) -1\/8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 4. Let m(g) = 5*g**2 - 25*g + 9. Let j(l) = -l**2 + 6*l - 2. Let z(q) = 9*j(q) + 2*m(q). Let v be z(-4). Sort v, 1\/4, h.\nAnswer: h, v, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 1. Let a be g(1). Suppose 2*p = 2, 5*w + a*p - 114 = 48. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 11*z + 10. Let y be t(-5). Suppose 0 = -3*i + 5*h + 13, -4*h + 32 = y*i - 2*h. Suppose i*p = 4*p + 272. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9332, 18706, 28126, 37598, 47128, 56722, 66386?\n\"Answer: g**3 + 17*g**2 + 9316*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-14))\/(6\/(-63)). Let o = -4 + x. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 51 = p, -p - 21 = -l + 2*p. Suppose -l*x = -10*x - 6. Solve -1 = 4*a + x*k + 6, -3*a = -k + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 339 = -219. Calculate the remainder when 125 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(61 - 11154\/156)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.4 - 10. Let r = l - -9.6. Let u = 8.9 - r. Is u less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**3 - 12*m**3 - 5*m + 11*m**4 + 7*m**3 wrt m.\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5821 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8039.7439 to the nearest integer.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*y + 288*y + 280*y - 846*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f - f)*(2 - 2 + f) + (0*f + 0*f - 2*f)*(-f + 2*f + 0*f) + 0*f + 0*f - 3*f**2 + 8*f**2 - 38 + 38.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2591104 and -87\/404860?\nAnswer: 12955520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*x - 4 - 6*x - 2*x + 5 + (-2*x - 3*x + 4*x)*(-3 - 3 + 5).\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5680*a**2*g - 2*a**2 - 2*g + 474090 wrt a.\nAnswer: 11360*a*g - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -386.54157 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 901842918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-4)\/3*27\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*16\/(-80)*0\/(6\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**7*f)\/f)\/((f**(1\/5)\/f)\/f))**2\/(((f\/f**(-1))\/f*f*f*f*f\/f**0)\/(f**(-1)\/f)**(-1\/3)) assuming f is positive.\nAnswer: f**(229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-9) - -2)\/((-1)\/249). Let h = 1 - d. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.3 (c) 4 (d) 0.5 (e) -63 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-3))\/(-2)*(-68742)\/11457\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)*h**(-5))**37 assuming h is positive.\nAnswer: h**(-851\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 - 14*y - 48. Let o(d) = -65*d - 3. Give o(n(g)).\nAnswer: 195*g**2 + 910*g + 3117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 15 = -435. Calculate the remainder when ((-191 - 1) + 36 + -43)\/(-1) is divided by o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.347931 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3426 + 0.0574. Suppose -2*w = 6 - 2. Let g be (1 + w\/4)*-2. Sort -0.5, g, k in increasing order.\nAnswer: g, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -36*u**2 - 204*u - 133. Give g(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 2:27 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1003126\/83 + -12086. Let v = b + 729\/3320. Does 1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:35 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 + 310 = -41*o - 103 - 551 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/20 - o**4\/12 + o**3\/6 - o**2\/2 - 10*o. Let b(a) = -3*a**3 + 2*a - 2. Determine b(x) - 2*j(x).\nAnswer: -x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((4\/14)\/2). Let q be (1 - 46\/(-14))\/((-8)\/(-56)). Suppose -4*a + 204 = 4*w, 5*a - q - 57 = -2*w. What is the highest common divisor of w and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*d + d - 2*y, 3*d - y = -14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 7. Put 5, 4, r in decreasing order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*w - 6. Let d = w - 1. Solve -t + d*r + r = -7, -3*r - 13 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 4*y - 2*y)*(4*y**2 - 6*y**2 + 0*y**2) + 19*y**3 + 563*y**3 + 1307*y**3.\nAnswer: 1891*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 911285, 911302, 911333, 911384, 911461, 911570?\n\"Answer: b**3 + b**2 + 7*b + 911276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.33, 2\/7, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 288 + 0*f - 288.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 223, 355, 491, 631?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188 and 14?\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14838, -14849, -14860, -14871, -14882?\nAnswer: -14893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -59*z + 5. Let q(m) = -246*m + 16 + 135*m - 36*m - 4. Determine -12*l(b) + 5*q(b).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.719 * -2\nAnswer: -1.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1460 = 3*d. Suppose -i = -4, 6*p - d = p - 3*i. Find the first derivative of -39 + 13*o**3 + p - 3*o**3 wrt o.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 244 - 256. What is the remainder when 78 is divided by 16\/(-12) + 232\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.94 - -0.06. Let l = 0.044 - 0.144. Which is greater: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 15*i**2 + 2*i + 9. Let k be w(-15). Let m = -9 - k. Suppose -8*g + m = -14*g. Sort 5, -3, g, -1.\nAnswer: -3, g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(8\/7)*j**0*(j*(j\/(j**1\/j))\/j)**(4\/7))\/((j**(1\/2)*j)**(2\/9))**(31\/5) assuming j is positive.\nAnswer: j**(-37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 11*k**2 - 3*k + 5. Let r be u(11). What is the nearest to -0.1 in 0.5, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 354?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3576.1 - -3576. Let h = -0.36 - 0.04. What is the closest to -0.1 in h, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(81))\/(sqrt(891) + sqrt(891)*2 + sqrt(891) + sqrt(891) + sqrt(891)).\nAnswer: sqrt(5)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose -q*d - 3*s = -0*d + 9, 0 = 4*d + 3*s + 8. Is 6 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4927901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*m + 6506 - 1066 = -145*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42795936 = 10*p - 42796296 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(5\/4). Let o = 54 + -58. Let i = -0.1 - -0.1. Which is the closest to 0.1? (a) g (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329729889 less than -0.03?\nAnswer: -329729889.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4162.644 + -0.5?\nAnswer: -4163.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*l - 27 = 64, -17 = -2*u - 21*l for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/11868277 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38*22\/(-2508))\/((429\/36)\/13).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108107\/7 + -15311. Let v = -8356\/63 + p. Suppose 0 - v*t**4 - 4\/9*t**3 - 2\/9*t**2 + 0*t = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97926 is divided by 1026.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1890 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 653175920 - -4?\nAnswer: 653175924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*(a*a**(-1)\/a*a)\/a*a)\/a)**15*a\/(a**(2\/11)\/a)*a**(-1\/10)*((a\/(a\/(a\/(a\/(a**(-2\/9)*a)*a))))\/a**7)**(-8) assuming a is positive.\nAnswer: a**(73751\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrszrxsss. What is prob of sequence zr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 31 + 29 + -26?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:53 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3158 (b) -3\/4 (c) 0 (d) -35\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 - 26 = 0. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/265 + -411\/4505. Suppose -4*w - 21 = u - 0*u, -w + u - 4 = 0. Let l be (-69)\/(-15) - 2\/w. Which is the closest to -1? (a) l (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) - (-60)\/27. Suppose -p*h + h = -9. Let c(v) = -2 + 1 - 1 + h - v + v**2. Calculate c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*d + 121*d - 5 + 7 + 0 + 6.\nAnswer: 197*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6712402 is divided by 745821?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7082 = -29*t - 180. What is the least common multiple of t and 56?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 - 21*p + 48 + (-3*p + 0 + 0)*(-1 + 1 - 3) in the form u*p + z and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27400360 divided by -52.\nAnswer: -526930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(425) + -3)*-2).\nAnswer: -30*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 1\/42*a**7 + 0*a**4 + 0*a**6 + 0*a**5 + 0*a**2 + 0 + a**3 + 2*a. Find the second derivative of w(j) wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 82. Suppose 5 = p - 3*d, -4 = -3*p + z*d + 6. What is the third derivative of -22*w**2 - 21*w**p + 3*w**6 + 51*w**2 - 12*w**2 wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnc when three letters picked without replacement from ftcynnz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5912887931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**2 + 4*i + 12. Let t(m) = 4*m**2 - 4*m - 12. What is -5*q(l) - 6*t(l)?\nAnswer: l**2 + 4*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 99, 2, -1, -1\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 8774?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(1\/5)*w)*w**(2\/13)*w*w*w**(-4\/3)*w**(-1\/2)*w\/(w\/w**(-3\/7))*(w*w**(-3)*w)\/w*(w**5*w)\/w*w*w**(7\/3) assuming w is positive.\nAnswer: w**(5483\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-34)\/(-8))\/(1\/4). What is the highest common factor of 51 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -183 - 357 + 11*i - 217*i - 1106. Calculate k(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -336 - -341. What is the smallest common multiple of r and 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 3*f. Let x = 193 - 185. Let d be 2\/(-5) - (-24)\/10. Let b(i) = -6*i - 4*i**d + 19*i**2 - 2*i. Calculate x*q(y) - 3*b(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + z**3 - z**3)*(-4 - z + 3 + 0*z).\nAnswer: 2*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*m - 2. Suppose -5 = -3*d - 2. Let o = m + d. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 7358 - 7238 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 1, f: 1, y: 1}. What is prob of picking 1 y, 1 f, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 - 2*y**2 - 3*y - 2. Let c be t(-1). Let w be 1*(10\/5)\/c. Is 2\/3 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by -119?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*w + 88 - 13 = 0, 4*w = 2*t - 30. Calculate the highest common divisor of t and 675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - 2*g + (-g - 4 + 4)*(1 + 1 - 3) + 55*g - 30*g - 36*g)*(2*g**2 + g**2 - g**2).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -651772 from 13.054.\nAnswer: 651785.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -71. Sort 3\/4, h, 0, 1 in decreasing order.\nAnswer: 1, 3\/4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3811, 7638, 11479, 15340, 19227, 23146?\n\"Answer: k**3 + k**2 + 3817*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a78 + 3?\nAnswer: 1a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(99\/(-18)) + -2. Solve -3*j + 8 = 5*d - f, -4*j - d = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 36*d. Is 18 a factor of c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 840.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/133 + -1499\/399. Find the common denominator of h and 79\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76439, 76520, 76599, 76676?\nAnswer: 76751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2528 and 1939046784.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = -3. Let i(b) be the third derivative of -b**6\/720 - 3*b**4\/4 - 11*b**2. Let d(o) be the second derivative of i(o). Give d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -3 + 1\/12*h**4 - 3*h + 0*h**2 + 0*h**3. Let x(o) be the first derivative of n(o). Let m(w) = 3*w. Calculate m(x(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjttjjjtttjj. Give prob of picking 1 j and 1 t.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 - 4*k - 6. Let x be b(-2). What is the second derivative of 81 + 4*m**x - 75 - 4*m**3 + 0*m**2 + 11*m wrt m?\nAnswer: -24*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -63702162.\nAnswer: -2\/31851081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 8*z**4 - 4*z**4 + (-2 + 9*z**2 + 2)*(3*z**2 - 6*z**2 + z**2) to the form l*z**3 + m*z**4 + w*z + q*z**2 + f and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 480*c**5 - 5*c + 20.\nAnswer: 9600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -1857012.\nAnswer: -13\/1857012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8538.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14020 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1728 - 1002 = 118*n - 27*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -162, -188, -218?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1048*l**5 - 2*l**3*n + 2613*l*n + 2*n wrt l.\nAnswer: -20960*l**3 - 12*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0164006 to four dps.\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1693069420 to the nearest one million.\nAnswer: -1693000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -1\/17 (c) -3\/7 (d) 0.8 (e) 14 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 1. Factor 3*d - 2 + 4*d**4 - q*d**3 + 11*d**3 - 9*d - 2*d**2.\nAnswer: 2*(d - 1)*(d + 1)**2*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-601*i + 856*i + 730*i)*(i + i + 0*i + (2*i - 2 + 2)*(5 - 2 - 4) - i + 4*i - 2*i).\nAnswer: 985*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.04, 2\/17, -1.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 times 1.5\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*n + 21187 + 1652 = -804*z - 10925, 84 = -4*z + 2*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18211 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 75690?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100305228 to the nearest integer?\nAnswer: 10015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.28757 micrograms in milligrams?\nAnswer: 0.01228757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3664700 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(1\/14)*s)\/((s*s**12)\/s)*s**(-9)*s**(-11) assuming s is positive.\nAnswer: s**(-405\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -442444033 (base 6) to base 2\nAnswer: -11110011001011110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 27 - 7. Suppose 3*f = -k + 2*k - c, 0 = 4*f. Let l = 1 - -3. Solve -l*d = -8*d - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooobbooooobboob. Give prob of picking 3 o.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 2*a**2 + 2*a**2)*(0*a**2 - 9*a**2 + 2*a**2 + (3*a - 2*a - 3*a)*(-a + 2*a - 3*a) - a**2 - a + a).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*-0.16.\nAnswer: -7.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/40 - 19*a**3\/6 - 47*a**2. Let z(r) be the first derivative of u(r). Let v(y) = -2*y**2. What is z(v(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4, 3*z - 4 = 3*g - 2*g. Suppose g = h + 12. Suppose 5*j - j + 20 = 0. Which is the closest to 2? (a) -2\/9 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k. Let p(w) = -3*w + 20. Let t be p(6). Let j(z) = 2*z**t + 21*z - 7*z - 14*z. Give i(j(u)).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -100*a - 5. Let s = -138 + 143. Let y(q) = -51*q - 2. Let h(u) = s*y(u) - 2*g(u). Let m(x) = 2*x**2. Calculate m(h(j)).\nAnswer: 6050*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.0237 + 0.0237. Let j = -0.51 - -0.54. Which is the third smallest value? (a) n (b) -2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2682 + 7751?\nAnswer: 507a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 463920300 to the nearest one million.\nAnswer: 464000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1363, -2747, -4129, -5509, -6887, -8263, -9637?\nAnswer: -11009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2, -4*q + 2*q - 374 = -4*x. What is the remainder when 555 is divided by x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/1023, -2, 3, 0.73 in increasing order.\nAnswer: -2, 5\/1023, 0.73, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 2*k**2 - k - 1. Let g be y(-2). Let o be (-1)\/(g\/(-20))*1. Solve 4*l - o = 0, l + l = 3*i + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 513 = -2*r - 2267, 4*r + 2926 = 5*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 1414*y**2 + 1. Let z(m) = -6*m**3 - 2828*m**2 + 2. Calculate -5*o(g) + 2*z(g).\nAnswer: -2*g**3 + 1414*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/30 + -10 + 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488, -489, -490, -491, -492, -493?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 313488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a - 11 + 0 + 13 - 9*a**2 - 21*a**2 wrt a?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q - 59*q + 220 = -23*q. Factor 16\/5 + 4\/5*g**q - 4*g.\nAnswer: 4*(g - 4)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 - -13. Let w = -155 - z. Let h = -5 + 7. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 976*r + 4. Let f(l) = -2*l**2. Calculate b(f(g)).\nAnswer: -8*g**4 - 1952*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54.89 - -55. What is the smallest value in -1\/2, 1, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 7 (c) 5 (d) 4\/27 (e) -10 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2244 times 1.1\nAnswer: -2468.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-142)\/(-10) - (56\/35)\/8. Let g(r) = j*r**2 + 15*r**2 + 12*r - 26*r**2. Is g(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.1 + 39.1. Sort 7, 1\/6, k, 2\/19 in increasing order.\nAnswer: 2\/19, 1\/6, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {z: 10, c: 1, x: 7, p: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lecl when four letters picked without replacement from leeeeececle?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -0.5, -2, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(18\/(-4) + 3). Suppose -o*l + 0*l + 4 = 0. Solve -b + 3 = -4*h - 4, 0 = b + 5*h + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18265 and 3091?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1432 - -1424030?\nAnswer: 1431012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*n + 7*n, -2*r - 21 = -n. Let l be (0 - 0) + r\/(-3). Suppose 5*y - 35 = -5*w, -5*y + 19 = -l*w - 16. Is y 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 v and 3 k when four letters picked without replacement from {q: 1, k: 5, v: 3, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 432 - 229. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 4\/45*k**5 - 2\/27*k**3 + 6*k + 0 - 1\/54*k**4 + 0*k**2 - 1\/27*k**6. Let h(g) = 0. What is g?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 10*j - 2. Suppose -j*q + 5*q - 474 = 0. Calculate the common denominator of 9\/8 and (3 + q\/(-14))\/((-3)\/7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 39*l + 35. Let k(a) = -a**2 - 19*a - 17. Let y(b) = 5*k(b) + 2*u(b). Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 - 0.25. Let b = 9 + -7. Is m less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278196789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12+0.05309288\nAnswer: 12.05309288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 6*s + 9. Let p be ((-100)\/(-6))\/((-10)\/(-15)). Let n = p + -18. List the prime factors of b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22722146 is divided by 873928.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242 + 1958 = 200*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 w when three letters picked without replacement from {j: 1, k: 1, w: 1, f: 3, v: 3, a: 5}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303 and 13984763.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*r - 3766 = 0, -119*h = -115*h + 5*r - 7514. Does 57 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 57064512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 - 14*j + 7. Let a be v(-7). Suppose 0 = 3*u - a*u. Let d(n) be the first derivative of n**2\/2 - 4*n - 2. Determine d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*2 - sqrt(264) - sqrt(264))*-5)\/sqrt(6)*-4*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2 + (-1 + 2 - 4)*(0 - 3 + 1) + 7 - 3 - 3)*((0 + 4 - 3)*(2*l - 2*l + 3*l) + l + 5*l - 2*l) to w + x*l and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7704.03 + -7665.0333. Let m = 8 + -47. Let h = w + m. Round h to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*t - 4248 = 80*t - 150*t for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 864\/19200*(237\/9 + 1) and 97\/492.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-9 - (0 + (-7 - -2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346 - 1100*x - 2129 - 2807 + 1099*x - 13297.\nAnswer: -x - 16887","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/12103 and -12\/12103.\nAnswer: 12103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(15\/2)\/(j**(-15\/7)\/j)*j**(2\/7)\/(j\/j**(-15)) assuming j is positive.\nAnswer: j**(-71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -11 + 68\/3*j**3 - 3\/2*j**2 + 1\/2*j**4 + 32*j. Find the second derivative of v(n) wrt n.\nAnswer: 12*n + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and (-1242)\/(-36) + 9\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - -80 - (-1 + -1) - 4 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and 79747?\nAnswer: 79765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -126*g. Let u(y) = 1203*y. Calculate m(u(d)).\nAnswer: -151578*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z - 1. Let y(j) = 23*j**2. What is y(w(u))?\nAnswer: 3312*u**2 - 552*u + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/16*(-94)\/21 and 93\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*i - 5*i + 3*c, -c = -i. Solve -5*v + j - 6 + 27 = 0, i*v - 41 = -4*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -2. Let y = -25.9 + 28.9. What is the nearest to -3\/4 in w, y, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -113 + -49?\nAnswer: -15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -923032 - -1432545725\/1552. Find the common denominator of o and -91\/12.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -0.06, 7, -0.1 in descending order.\nAnswer: 10, 7, -0.06, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704126219?\nAnswer: 31, 3187, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 - -140. Suppose 17 = t + 5*u, -y*u + 47 = -3*t - 2. Let l(o) = -o**2 - 11*o - 12. What is l(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 2*s**4 + 11 - s**2 - 5 + 2*s + 3*s**2 to the form n*s**4 + r + m*s + x*s**2 + f*s**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 3, u: 1}. Give prob of picking 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:28 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.5 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1251*k**2 - 10406*k**2 - 4899*k**2.\nAnswer: -16556*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -g + 5, -5*b + 24 = -4*g + 8*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 5*l**2 + 5*l + 5. Let t be h(6). Let w = -1 - t. Suppose 4*c + 2*u = 10, w = -3*c + 8*c - 2*u + 1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 4*j**5 - 5*j**5 + (-2*j**4 - j**2 + j**2)*(-2 + 2 - 2*j) + 47*j**3 - 47*j**3 - 7*j**5 + (4*j**4 - 4*j**4 + 2*j**4)*(0*j + 3*j + 0*j).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*o - 5 - 20, 37*o = 4*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12. Let t(w) = 3*w**3 + 5*w**2 - 9*w + 4. Let o be t(1). Solve y = -10*f + 5*f + 4*g - 30, -o*g + 11 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 46827 + 16*b + b - 46793. Let x(c) = 1. Determine g(t) - 34*x(t).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -1)\/(-1) - 36\/(-6). Let v be (-4)\/10*1155\/(-28)*u. Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -16. Let m(u) = 63*u**2 + 31*u - 32. Let f be m(s). What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 73. Let j(z) = z - 4. Let i(r) = r - 3. Let n(w) = 4*i(w) - 3*j(w). Let h be n(-3). Which is the third biggest value? (a) u (b) -3\/8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 0, 4, 14 in descending order.\nAnswer: 48, 14, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 398270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 55. Let i = -33827.5 - -33828. Which is the nearest to l? (a) 6\/11 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 2*p + 0*p)*(-2*p + 3*p - 3*p) - 11*p**2 + 4*p**2 - 7*p**2 + 3*p + p**2 - 3*p to the form v + c*p**2 + l*p and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5572 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 8030\/(-44)*8\/5. Let z = k - -6161\/21. Let l = -6023\/30 + 201. What is the common denominator of z and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*j + 4, -q + 6 = -30*j + 27*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/60 or -0.842625?\nAnswer: -0.842625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 = u. Let m(b) = 2*b - 2*b + 1 - b**u. Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1*(-1)\/(-2)). Let z = 125 - 123. Sort 1, z, u in ascending order.\nAnswer: 1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-14))\/6)\/((-429)\/77)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 8*k + 0*k**2 + 0*k**4 + 19\/42*k**7 + 1\/6*k**3 + 0*k**5 + 0 + 0*k**6. What is the second derivative of p(w) wrt w?\nAnswer: 380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -6) + 349173\/28. Let k = i - 12469. Calculate the common denominator of -43\/6 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -15*a + a**3 + 0 - 1\/12*a**4 - a**2. Let p be c(5). Solve -v = p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22111, -22108, -22089, -22048, -21979?\nAnswer: -21876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51e (base 15) to base 3.\nAnswer: 1120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 greater than or equal to -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -18. Calculate the highest common divisor of q and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s + 204. Give v(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 216\/5, 45362, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-369)\/(-738) + (-93)\/138.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:12 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/155 + 198\/1085. Sort -220\/7, -2\/7, n in ascending order.\nAnswer: -220\/7, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13852808 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546070?\nAnswer: 2, 3, 5, 84869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -2, 23596\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 0.9?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 506853761 to the power of 1\/2, to the nearest integer?\nAnswer: 22513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 5. Let v be k(-3). Suppose 0 = v*j - d + 14, -d = j + 4*d - 4. Is (-274)\/j + 3\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -28) + -7 - 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9900)\/(-924) + (-4)\/(-14). Suppose -h = 38*x - 163. Let s be ((-4)\/2)\/((-2)\/(-20)). What is the third biggest value in 2\/11, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.413 - -0.187. Let f = u - 13.7. Let p be (-3)\/15*(-10)\/4. Which is the smallest value? (a) f (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2420437, 2420438, 2420439, 2420440, 2420441?\n\"Answer: w + 2420436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) - -3*(3 + sqrt(1584)) - (sqrt(1584) + (-3 + (sqrt(1584) - (sqrt(1584) + 3)) - sqrt(1584))**2).\nAnswer: -1611 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 0.2 in decreasing order.\nAnswer: 9, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 870, 3441, 7712, 13677, 21330, 30665, 41676, 54357?\n\"Answer: -q**3 + 856*q**2 + 10*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17519, -17742, -18105, -18602, -19227, -19974?\n\"Answer: z**3 - 76*z**2 - 2*z - 17442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.31 times 484813?\nAnswer: -1119918.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 39 (b) 7\/156 (c) 5 (d) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, j: 4, k: 4}. Give prob of sequence kajk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 41. Suppose 2*n = n + g*n. Determine o so that n*o**2 + 0*o + o**2 + 2 + 2 + 4*o = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k - 2. Let u(t) = 800*t**2 + 10*t + 20. Determine -10*s(z) - u(z).\nAnswer: -790*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*i**3 - 5*i + 292 wrt i?\nAnswer: 117*i**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/14 - 672\/588. What is the nearest to 1.3 in m, 1\/3, -1, -14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:29 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/12)\/(9\/(-6)). What is the third smallest value in 0, b, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*a - 30 = 0, 5*n = 2*a - 6 + 81. What is the second derivative of 15 - 46*x + 17*x - 13*x**5 - n wrt x?\nAnswer: -260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 4\/(-1))*(2 + 1). Suppose 30*s - 29*s = -o. Let t(y) = -2*y**3 - 5*y**2 - 2*y. Calculate t(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-617)\/(-5) + 2\/(-5). Suppose -3*i + t + 104 + z = 0, t = 2*i - 151. Suppose -95 = -7*v + 2*v + m, -3*m - i = -4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**2 + 797. Let c(f) = -128*f**2. Give h(c(l)).\nAnswer: 256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 758 = 2*f - 642. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.364 times -31\nAnswer: 11.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 1, o: 2, n: 2, c: 3}. Give prob of picking 2 r and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 4. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 6.371?\nAnswer: 0.6371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -27*q + 24*q + 2689, 3*m + 4*q = 1620. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v + 4 = 0. What is the nearest to 1 in v, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 75, 86, 65, 0, -121, -310, -579?\n\"Answer: -2*k**3 + 2*k**2 + 39*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-2*sqrt(77) + sqrt(77))\/sqrt(7)*-5)**2 + (sqrt(88) - sqrt(88)*-1*-2)\/sqrt(8)).\nAnswer: -6*sqrt(11) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 56. Let a = k - 35. Put 15, -1\/3, a, -0.3 in descending order.\nAnswer: 15, a, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 13 - 3)*(2*n - 8*n + 2*n).\nAnswer: -96*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3060*n + 20759244 - 20759244 - 13390*n to q + z*n and give z.\nAnswer: -16450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x. Let s(w) = 523*w. Give s(z(u)).\nAnswer: -2092*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1703 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3844 = -4*i + 5*s, -1583 + 600 = -i + 4*s. Calculate the greatest common factor of i and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20680 - -20693. What is the remainder when 4754 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -2 - (-10 + 6)\/(-4). Which is the closest to k? (a) -2\/9 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3 + 0)*-1. Let u be (y\/5)\/(1\/20). Solve -p + 3*l = u, -p - l + 0*l + 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 17. Suppose 2*d + q*d + 10 = 0. Let s = 22 + d. What is the remainder when 31 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5331*d + 6552. List the prime factors of u(10).\nAnswer: 2, 3, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + -0.7. Let l = o + 1.3. What is the second biggest value in -0.1, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1359, -1435, -1649, -2073, -2779, -3839?\nAnswer: -5325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7\/53, -3 in decreasing order.\nAnswer: -7\/53, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 - 4*r + 2. Let p be k(-4). Let z be (-1 - 33\/30) + p. Let n = 0.52 - -1.48. What is the biggest value in 2\/9, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 0*f + 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1639508 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1330 is divided by 276.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -708.53 - -677. Let r = 0.47 - f. Let l = 37 - r. Which is the nearest to -1? (a) l (b) 3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 o when three letters picked without replacement from {a: 1, o: 1, t: 2, m: 2, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -54562?\nAnswer: -3\/27281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3816*p + 354902. Calculate s(93).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(13) + -2 + 1 - sqrt(78)\/(sqrt(12)\/sqrt(2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4023 + 4025. Solve -3*u = -h*c - 6 + 3, -5 = -u + 2*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17158715 and 529345.\nAnswer: 17688060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + 4*a + 6. Let j(y) = 22*y**2 + y - 15*y**2 - 5*y**2 - 8*y**2 - 4*y - 5. Give -4*j(x) - 3*s(x).\nAnswer: -3*x**3 + 3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*m = 2*q - 30, -15 = -q - m. Solve -14 = 2*u - 3*r, 4*r - q = -0*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*f = 9, 0 = -8*k + 3*k - f + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:08 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 - 3. Let l = 1467 + -1472. Put l, 0, d in decreasing order.\nAnswer: d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w. Let h(s) = s**2 + 8. Let o be h(w). Let q be -5 + o + -4 + -4. Which is the smallest value? (a) q (b) 2.6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26237 + -421.01763. Round m to zero dps.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.5424586 to three dps.\nAnswer: -159.542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 8260.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 35 - 54 + 32 - 11*u. Let y be t(9). Let c(f) = f - 5*f - 2*f. Let i(k) = 6*k. Give y*c(p) - 6*i(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7482 is divided by 2470.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/41 or -1099?\nAnswer: -1099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 55 = -3*q, -4*m = -2*q - 2*q - 76. Let d(p) = p**3 + 2*p**2 + 3*p. Let y be d(-3). Is y at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 1, l: 7}. Give prob of sequence wkw.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 11*n**2 - 2*n - 10. Let u be b(-11). Let q = -20 + u. Let h = q + 13. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s + 2*h - 92, -2*h - 112 = -2*s. Suppose -4*g + s - 3 = 0. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*k = -344, -48 = -s - 4*k + 48. Let m = -58 + 69. Calculate the highest common factor of s and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 99*t**3 - 3*t**2 + 4*t + 1. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17863\/10 - 1777. Find the common denominator of s and (6\/4)\/((-240)\/584).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 8. Let z(c) = -307 + 642 - 5*c - 376. Give -11*s(n) - 2*z(n).\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*f, -r - 3*r + 5*f = 0. Let n = 596.96 - 597. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0 + 0 - 3*g + 3*g - 4*g + g - g - 2*g + (1 - 1 - 1)*(g + 5*g - 5*g) + 4*g - 3*g + g)*(2*g + 0*g - 379 + 383).\nAnswer: -6*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/((-21)\/98).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -197713, -790054, -1777283, -3159394, -4936381, -7108238, -9674959?\n\"Answer: r**3 - 197450*r**2 + 2*r - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*n + 723 = 721, 3*k = -2*n + 9. Which is the fourth smallest value? (a) 0 (b) k (c) -0.5 (d) 0.03 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*b - 25 = -9, 4*n + 20 = 5*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-24)\/16). Do 10\/11 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5829718 is divided by 431.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-540) + 268995\/12798.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 7:07 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 21*a = -2. Solve a*p - 10*p = 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 - 245*k**2 + 2600*k + 10140 = 0.\nAnswer: -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 50059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963047.\nAnswer: 963047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6039\/(-891) + (-4)\/18\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34591 times 0.4?\nAnswer: -13836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8.4423 * 124\nAnswer: -1046.8452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3.960346, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + 50) - (-142 + 124)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 718376 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 25*h**4\/4 - 23*h**3\/3 + 20. What is the third derivative of i(x) wrt x?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/((-18)\/(-15) - 1). Suppose 23 = k + k - 3*h, p*k - h = 31. Find the first derivative of -8 - k*r**4 + 22 - r**4 + 0*r**4 wrt r.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 1\/3, 34, 1, -0.2, -50?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -71 + -625945\nAnswer: -626016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 - 25*d + 11. Let n(i) = 4*i**2 - 20*i + 11. Let t(p) = -5*n(p) + 4*q(p). Let g(a) = -28*a. What is t(g(m))?\nAnswer: 3136*m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**2 - 48*u - 406. Is 12 a factor of z(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/3, -1\/9 in decreasing order.\nAnswer: 2\/3, 0, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (459 - 227 - 226 + 2*c + 3*c**2)*(20 - 20 - 20*c) to n + i*c**2 + r*c + s*c**3 and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.024 - 5.076. Let m = l + 4.44. What is m rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/271453 + 271459\/814359. Find a such that -35\/6 + r*a + 1\/6*a**2 = 0.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810150 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94920, -94921, -94922, -94923, -94924?\n\"Answer: -f - 94919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*k - 22 - 6 = 0, -k = 4*d - 19. Solve -r - d = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138479998 by 1039.\nAnswer: 133282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 18*d - 67. Let i be r(-10). Let x(s) = -s**3 + 4*s**2 + 3*s + 1. Let k be x(-4). What is the highest common divisor of k and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 0*n = -12*p - 234, -400*p + 397*p + 247 + 32 = 5*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6880, 27223, 61042, 108343, 169132?\nAnswer: 243415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 = -11. Let s be 2\/(-5) + 87\/5. Find the third derivative of -17*d + s*d + d**j - 3*d**3 wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v**3 + 6*v**2. Let o(m) = -32*m**3 - 17*m**2. Let c(n) = -8*i(n) - 3*o(n). What is the third derivative of c(g) wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 1, e: 2}. What is prob of sequence eqb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 944*k\/7.\nAnswer: -2*k*(k + 472)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + 2) - (-6 - -3) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (6 - 5) - -6) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/15)\/w**(2\/5) assuming w is positive.\nAnswer: w**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let g(m) = 0*m**2 + 8*m**2 + 7*m - m**3 + 1 - 6 + u*m**3. Let n be g(-7). Let b(z) = z**3 + 4*z**2 - 5*z - 3. Give b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 2356?\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Let k(p) = -6*p**2 + 3*p - 2. Let j(v) = -v**3 + 11*v**2 - 6*v + 3. Let q(g) = -3*j(g) - 5*k(g). Is q(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.69 + -1.69. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.235 less than 72.9098?\nAnswer: 72.6748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-32))\/(11\/4)*(-17)\/(-17)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 158 - 6*n**2 + 53.\nAnswer: -6*n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y**4 - 2*y**3 + 28*y**2 + 26*y. Let n(d) = 6*d**4 + 14*d**2 + 12*d. Let s(l) = 7*n(l) - 4*w(l). Suppose s(k) = 0. What is k?\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*f**6 - 2*f**5 + 27*f**3 + f**2 + 20*f + 59.\nAnswer: -5520*f**3 - 120*f**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 - l**3 + 0*l**3 + (-l + 3 - 3)*(-2*l**2 - 3*l + 3*l) - 5*l**2 - l**3 + 5*l**2 + l**3 - 3*l**3 + 3*l**3 + 0*l**3 + l**3 + 3*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 - 3*w**2 + 9*w - 5 = 0. What is w?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 102, 186, 292?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4959\/2610*3\/((-3)\/(-10)))\/(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14290160 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15778 + 13774196\/873. Calculate the common denominator of -38\/27 and k.\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, o: 1}. What is prob of sequence xo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 85*r**2 + 7304*r - 603. Calculate y(-86).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:19 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16020 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - (7 - 676\/6). Solve -128*q + t = -107*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 + 9395*h**4 + 75370*h**3 + 207450*h**2 + 226395*h + 84915 = 0. What is h?\nAnswer: -3, -1, 1887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297642 is divided by 74404?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2\/3 + 1192*p\/3 - 1204 = 0. What is p?\nAnswer: -301, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + d = -4, -d = 0. Let c = -6 + z. Sort -0.06, c, 1\/7 in descending order.\nAnswer: 1\/7, -0.06, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2 + 9*l - 7. Let r(z) = -6*z**2 + 10*z - 8. Let s(w) = 4*r(w) - 5*v(w). Determine s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 82?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3124818, 3124819, 3124820, 3124821?\nAnswer: 3124822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1720)\/(-1204)*21\/15*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 2*o**2 + 4*o**2 + 4*o**2 in the form d + p*o**2 + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2139?\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -170\/7. What is the second smallest value in -13, 0.2, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13280573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 479524 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 - 33*w**3 + 18*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqf when four letters picked without replacement from {q: 6, d: 2, f: 7}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1679 and 920?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - s - 4. Determine i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 12*a**2 - 2*a + 2. What is g(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u**5 + 1347*u**4 + 22422*u**3 + 57492*u**2 + 9720*u = 0. What is u?\nAnswer: -10, -3, -2\/11, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*r = 96*r + 8037 + 8063 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -106, -340, -802, -1570?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659*s + 426*s - 1617*s + 615*s.\nAnswer: 83*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1868 = -7*r - 1744. List the prime factors of (-15)\/(-2)*r\/(-15) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 2)*(-3*j + 2*j + 2*j)*(j - 5*j + j).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 46, -5, 5 in descending order.\nAnswer: 46, 8, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368 + -252. Let u = 120 + -187. Let y = p + u. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1328, -1324, -1324, -1334, -1360, -1408?\n\"Answer: -u**3 + 4*u**2 - u - 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*228011\nAnswer: -912044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.139\nAnswer: 0.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 6*j + 10. Suppose 2*i = -i - 24. Let k be v(i). Let f(u) = -29*u - k*u + 59*u. Let r(d) = -2*d. Calculate f(r(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1 + (-33)\/(-30)). Let q = -15 + i. Suppose a - q*b - 15200005 = 0, 9655032 + 5544963 = a + 5*b. What is a rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725444?\nAnswer: 2, 3, 7, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -135933+14.9\nAnswer: -135918.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 2)\/(-4 - (-7 + 4)). Let q(u) be the second derivative of 3\/2*u**2 + w - 1\/6*u**3 - 3*u. Differentiate q(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 + 87 - -84) + -60?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 3*o + 1. Let g be s(-3). Let w be (g\/(-2))\/(4\/(-6)). Let m = 24.1 - 23.1. What is the third smallest value in m, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {o: 9, z: 1, n: 6, r: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 62 - 44. Let h be 5496\/18 - -2*(-3)\/z. Suppose t - h = 110. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, -54, -606, -1130, -1620, -2070?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 - -203.7. Let p = 42 + u. Let x = 15.619 - p. What is x rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z**(-1\/9)*(z*z**0*z)**(-24))**(-2\/7) assuming z is positive.\nAnswer: z**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 4388860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, -3\/2, -2\/11245, -1\/21?\nAnswer: -2\/11245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 58*t - 22. Let c(m) = 3. Calculate -b(a) - 4*c(a).\nAnswer: -58*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*t + 75*t - 4599 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 109*i**5\/5 + 4*i**2 - 4*i - 61. What is the second derivative of d(k) wrt k?\nAnswer: 1308*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-9)*(-3)\/48 + (-1)\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 - 4)*(3*o**4 - 2*o**4 - 6*o**4) to w*o + c + x*o**3 + z*o**2 + h*o**4 and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 6) to base 9.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*i - 24, 2*f - 16 = -0*i + i. Suppose f = -4*p - 0. Suppose -m = 10 - 5. Sort -1, m, p in increasing order.\nAnswer: m, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 2\/9, -0.2, -11.8, 4.\nAnswer: -11.8, -0.2, 2\/9, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57548 plus -89342?\nAnswer: -31794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -72.02181 * -0.8\nAnswer: 57.617448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 6*k + 34. Suppose 2*n - 5*g - 5 = -n, 0 = -5*n + 4*g + k. Sort 4, 3, -5, n.\nAnswer: -5, 3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77792616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 3. Let q be h(-7). Calculate the greatest common factor of q and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/1748 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1748586457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:26 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -62*1*(-37)\/222*3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -74. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4827280368?\nAnswer: 2, 3, 100568341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -310030?\nAnswer: -310030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-122)\/(-120))\/(1372\/1715) and -1\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1568, -1235, -688, 67, 1024, 2177?\nAnswer: 3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 2*f**2 - 1)*(-3*f + 4*f - 2*f).\nAnswer: -2*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -263*o + 267*o - 12. Let q(h) = h**3 - h**2 + 16. Let f be q(0). Solve f = -o*t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5881 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 35 + 133. Suppose -26*j + f*j + 10 = 0. Calculate the highest common factor of 18 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 19 + 16)*(2*a**3 + 0*a**3 - 4*a**3).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 20*q + 88 - 28*q - 7 + 161 to g + s*q and give g.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 18*h + 499. Give b(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 5*a. Suppose a*h = -0*h + 14. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.00552 rounded to two dps?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 6\/11, 4, 1, 2.234?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + -1 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 728 and 1183?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u + 60 = 0. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 less than 5888?\nAnswer: 5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:57 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.22160424 or 0?\nAnswer: -1.22160424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40887 is divided by 2549?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -5, -36, -514?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 58*b**2 - 59*b + 49. Let j be o(23). Let p = j + -273. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3228005 (base 9) to base 15\nAnswer: -243005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2 + 1126847*x - 8786702.\nAnswer: 4*x + 1126847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 9*c**2 - c + 2. Let q be u(-9). Solve -3*h - 3*w = -21, -3*h - 2 = -3*w - q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123532 less than -381329?\nAnswer: -3504861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r - x + 116, 3*r - 173 = -x. Suppose -76 = -4*q + 4*m, -7 = 2*q - 5*m - r. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:04 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 8 + 4*h + h**2 + 3*h + 17. Let u(b) = 3*b**2 + 26*b + 26. Let r(k) = -3*u(k) + 8*z(k). Let a be 34\/(-8) - 2\/(-8). What is r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -611, -612, -611, -608?\n\"Answer: z**2 - 4*z - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -4067, -2, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2611, 2379, 2147, 1915, 1683, 1451?\n\"Answer: -232*u + 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 6, -m = -0*m - 2*x. Let c = 6 + m. Let o be -8*(-4)\/120*3. Is o greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*f**2 + 353*f**2 + 350*f**2 + 349*f**2 - 1352*f**2.\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111961385 - 19709.\nAnswer: 111941676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from ppppushhhssphhs?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 - 3*x**4 - 3*x**4 + (-3 + 2*x**2 + 3)*(-3 + 3 + 2*x**2) + 8 - 769*x**3 + 767*x**3 - 9*x**2 + 6*x**2 + 12*x**4 + 2*x**2 - 2*x**2 + 3*x**4.\nAnswer: 18*x**4 - 2*x**3 - 3*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 1336.361, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 6, t: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1)\/(5 - 6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -313\/2, 20?\nAnswer: -313\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i + 19*i**2 + 2*i**2 + 74*i.\nAnswer: 21*i**2 + 44*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 103999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3785.\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 4. Suppose -7*r - h + 2 = -4*r, -2*r + 4*h = 8. Give p(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 4}. Give prob of picking 2 h and 1 u.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -591 + 1007. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:32 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -123, 9, 20, 5 in ascending order.\nAnswer: -123, -18, 5, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 67509*n**2 - 1716 - 15*n - 67505*n**2 + 127*n = 0?\nAnswer: -39, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 35*l**2 - 29*l - 1000. Determine m(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-9) - (-879)\/135. Let n = 32\/5 - z. What is the second smallest value in n, 1\/4, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 18, y: 1}. Give prob of picking 2 p.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -0.18285901?\nAnswer: -2.81714099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.2 + -23. Let m = 8.239 - h. Let z = m + -0.038999705. What is z rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1\/1868 (b) 1\/5 (c) -2\/11 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1210423 + 23?\nAnswer: -1210400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - 4\/(-8)*18. Solve 2 = -m, 4*a - 12 - 4 = l*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*i - 24 - 21, 2*i + 50 = 5*h. Calculate the remainder when 2145 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122243 (base 5) in base 12?\nAnswer: 48b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-725)\/(-10))\/5)\/(688\/1376).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502290079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-1)\/(7\/42). Suppose c + 3*k - 7 = 0, 2*c - 3*c + 3*k + 7 = f. Solve -2*n = -3*b + 5, -4*n + 30 = c*b - 5*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 989509 and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -603879\/18815 + 1726\/53. Let g = -5\/71 + s. Solve -2\/5*o**3 + 8\/5 - g*o**2 + 8\/5*o = 0 for o.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*l + 23 = 0, 4*c - 34 = -0*c - 2*l. Suppose c = -h - 2*h - 5*o, h - 5*o - 23 = 0. Solve -t = -2*m + 6, 3*t = h*m + 2*t - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*p + 45, 2*p = -3*d + 6*p + 41. Suppose -x = -3*h - d, 4*x + 4*h - 18 = 3*h. Solve -153 + 153 + 10*f**2 - x*f = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/3535 + -406093\/84840. Calculate the common denominator of -38\/297 and t.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvj when three letters picked without replacement from {j: 2, s: 1, a: 1, t: 5, p: 1, v: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247118 and 942.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1, 3 in descending order.\nAnswer: 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133 + 128. What is the closest to -0.2 in m, -0.3, 2\/5, 2\/45?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16868823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 722 - 719. Suppose -c - d = -4, 5*d + 85 = 4*c + 24. What is the remainder when c is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*b*s*t + 605*b*s*u + 8*b*s + 2*b*u - 378*s*t - 3*s*u - s + 2*t*u - 7*t wrt b?\nAnswer: 7*s*t + 605*s*u + 8*s + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22572.3, 285, -0.4?\nAnswer: -22572.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 3.\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, 3, 0 in ascending order.\nAnswer: -12, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, 35\/18 in ascending order.\nAnswer: -1, 35\/18, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 8*k**2 + 5*k**2 + 7*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (279\/(-27) + 11)*(-12)\/(-2). Differentiate -i + 17 - 7 + 86*j - 30 with respect to j.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23351.46ml to litres.\nAnswer: 23.35146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526994381 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10390 + -189645811.\nAnswer: -189635421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10445*x**4 + 7*x**3 + 485*x**2 - 529332647*x?\nAnswer: -125340*x**2 + 42*x + 970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -712.784 - -703. Let c = l - -9.8. Is c less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**23*c)\/c*c\/c**(12\/7)*(c\/(c*c**(-2\/13)))\/c*c\/c**(10\/3) assuming c is positive.\nAnswer: c**(5216\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-341)*2\/8. Is 0 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**3 - 3*r**2\/2 + 3*r + 3. Suppose 0 = -0*w + w - 2. Is 6 a factor of o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6090629.6 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216424 is divided by 30900.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-5)\/150*147\/14*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - 3. Let r be 5\/10 + i\/10. Let b = -3 + 2. Is r bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2506464 and 23208?\nAnswer: 2506464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11321023233 (base 4) in base 13?\nAnswer: 42128a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 15884892\nAnswer: -15884888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 129*q + 3*q**3 - 129*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230131 (base 4) to base 7.\nAnswer: 26144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6*(-2)\/4. Which is the closest to 2\/3? (a) 0.4 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8925 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.031909592 + -0.0319. What is b rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = 6*o - 344 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n. Let b(s) = 7*s**2 - 12*s + 81. Suppose -11*t + 180 = -5*t. Let y(k) = t*v(k) + 5*b(k). What is m in y(m) = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -4.\nAnswer: -4, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102111120 (base 3) to base 11.\nAnswer: -6333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -8*l, 4*l = -328*y + 332*y + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -795 - -5567\/7. Let u = -12.4 - -2.4. Let o = u - -11.3. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 14. Let p be w(26). Let y(g) = p + 2*g**2 + 10*g + 6*g**2 + 5*g**2 - 11*g**2 - g**2. What is y(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 + -148. Solve -25 = t*g + 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1071831474.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 17*x**2 - 8*x + 8. Let d(s) = s**3 - 15*s**2 - 9*s + 10. Let h(t) = 3*a(t) - 4*d(t). Let u = 16 - 6. Let r be h(u). Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -341*g - 2726. Let a be f(-8). Is a equal to 35\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 - h**2 - 10554*h - 10553. Calculate t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20219493 by -707.\nAnswer: 28599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 23*o. Suppose 2*m + 32 = -6*m. Let u(x) = 1196*x. Let w(l) = m*u(l) + 207*d(l). Let n(f) = -f**2. Determine w(n(q)).\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.72017 + -0.2\nAnswer: -0.92017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-375)\/(-18))\/(-25))\/5*3\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 9 = 2*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (48\/(-1344))\/(5\/(1435\/(-108))) and 47\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 3*h + 41. Calculate y(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 12 = -f, -5*b - 134*f - 31 = -132*f. Let p(y) = -3*y**2 - 4*y + 1. Let j(i) = 8*i**2 + 13*i - 4. Determine b*p(x) - 2*j(x).\nAnswer: 5*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {q: 3, a: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1617041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/(-6)*(27 - 30). Is 3858\/14 + (297\/63)\/t a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmxxr. What is prob of sequence tr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, -2\/3, 0.2, 0.4516, 0.19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 325689427566.62?\nAnswer: -325689427568.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + v + 79 = -88, -2*s - v = -79. Solve 2*u + 9 = 3*b, -4*u - 4*b - 9 = -s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1798236 divided by -6.\nAnswer: -299706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*s + 357 - 821 - 342 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*k - 14, 0 = -2*t + 4*k + k + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6*n - 9*n)*(0 - 2 + 1) + (3*n - 6*n + n)*(2 - 1 + 0) + n + 5*n - 5*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/80145 and 40\/81.\nAnswer: 721305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f - 90 = -36*f. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215691?\nAnswer: 3, 431, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = 5*v, v + 5*m = 2*m + 16. Let y(b) = 15*b**3 - 6*b**2 + 8*b - 7. Let k be y(v). What is k rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9885 - -26506. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.884 and -0.1.\nAnswer: -0.6884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from qqmmqmqqqkmmqmkm.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8362 (base 9) to base 8.\nAnswer: 13763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2400544 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 511 or 1529\/3?\nAnswer: 1529\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 4, d: 1, l: 12}. Give prob of sequence cs.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Let v = 3 + g. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 - 71. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b - 40. Let z(x) = x**3 + 7*x**2 - 12*x - 11. Let o be z(b). Solve 4*u + 6 + 13 = -g, 0 = 4*g + 5*u + o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:24 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 - 594240*a + 2971275 = 0. What is a?\nAnswer: -198085, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**5 + 1070*m**4 + 34345*m**3 - 112550*m**2 + 4220*m + 150040 = 0.\nAnswer: -31, -1, 2, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**3 - 6*g*h**2 - g - 191*h**2 wrt g.\nAnswer: 9*g**2 - 6*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + u - 4*u = -3, -u + 1 = 0. Factor 0*q**2 + s*q**3 - 2\/7*q**4 + 0*q + 0.\nAnswer: -2*q**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - 2*q**2 + 2*q - 1. Let f be k(1). Find the second derivative of 2*l**f + l + 0*l + 4*l - 3*l wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/10659 and 52\/152779?\nAnswer: 458337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -16955174 > -16955184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*63.4.\nAnswer: -19.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.93 + 0.18. Let u = q - -1.1. Let a = 0.45 - u. Is -21 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*u + 2*u. Let r(l) = -l**2 - 2*l - 3. Let s be r(-2). Let a = s - -6. Is u less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452 - 2039 = 173*c + 253*c + 65 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -1 + 0 + -24 + 7. Suppose 3*j = 2*r + 19 + 22, r - 5*j + 38 = 0. Let m = r - k. Solve -3 = -2*p - m, -4 = -4*x - 4*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 341*s**2 + 4965*s + 535. Determine v(184).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 8. What is the first derivative of 5 + x**4 - j + 2*x**4 + 3 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3\/5 (c) 2\/27 (d) 177 (e) 0 (f) 5 (g) 2.8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smsr when four letters picked without replacement from {d: 7, m: 1, x: 3, r: 2, s: 2, c: 3}?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/196*(-2)\/4. Let b = 29\/92 + -3\/46. What is the nearest to 0 in -2\/7, -2\/71, b, c?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 222?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 439308123 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 400, 399, 398, 397?\n\"Answer: -c + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415658, -415684, -415710, -415736, -415762, -415788?\nAnswer: -415814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -256323000 rounded to the nearest one million?\nAnswer: -256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -16222*o. Let l(h) = -1146*h**2 + 2*h. Calculate l(j(v)).\nAnswer: -301573663464*v**2 - 32444*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-16)*(-4)\/(-58)*40\/(-60).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 9*b + 10 + 0. Suppose 15 = c + 2*w, -21*c + 24*c - 25 = -w. List the prime factors of n(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:07 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 16*z - 6*z - 203 = 0. Suppose 0 = -3*p - 2*p + 5. What is the remainder when z is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 5*d + 9. Let y be j(-6). Suppose -5*f + l = -190, -l = -f + y*f - 83. Calculate the greatest common factor of f and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56537035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1229 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 1) + 0 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u - 10. Let i be v(0). Let z = 21 + i. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265916503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04249 + 2.35751. Sort p, 1\/4, -1\/2 in decreasing order.\nAnswer: p, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbebeddeeddeseddv. What is prob of sequence ddd?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23, -21, -19, -17, -15?\n\"Answer: 2*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -2824.\nAnswer: -847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(21 + (-10524)\/264 + 19).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a, 4*z + 5*a - 6711 = 8028. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-174)\/(-11) - 6\/(-33). Suppose -7*m + d = 2. Let p be (m\/(-25))\/((-2)\/5). What is the closest to p in -3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/11 - 65234*n\/11 = 0 for n.\nAnswer: 0, 32617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5009 take away 4?\nAnswer: -5013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -135, -192, -249, -306, -363, -420?\n\"Answer: -57*t - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + n - 2 = 0, 5*n + 11 = -9. Let j = b - -2. Suppose -j*s + 2 = -2. Solve s = v + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956755 is divided by 212.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 45*n + 660. Let k be y(86). Which is bigger: k or -2865?\nAnswer: -2865","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 4*v**2 + 4*v - 3. Let b(c) = 2*c**3 + 3*c**2 - 3*c + 2. Let z(k) = 3*a(k) + 4*b(k). Differentiate z(h) wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 6863232 + 19246677 = 19*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6081945.\nAnswer: 3, 5, 139, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 - 161 = -2*h. What is the remainder when h\/5 - (-1 - 1389\/15) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-29272.\nAnswer: -146360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8187)\/(-21) + (-492)\/574 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -7*a + 276. Suppose 37*r - a*r = 9. Solve r*v = 5 - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1568991963183+-0.0191\nAnswer: -1568991963183.0191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/6 + 178*n**3\/9 + 392*n**2 + 2424*n - 4093. Factor p(x).\nAnswer: -2*(x - 101)*(x + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147865 is divided by 5793.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1736 + -1736. Solve b = 4*i + 4*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4*3\/6)\/2. Let x(t) = -2 - 2*t + t - l + 2. Let u(v) = 2*v + 3. Suppose 3*z + 6 = -0. What is z*u(k) - 5*x(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 263429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 611 + -595. Suppose r*s - 565 = 3275. What is the smallest common multiple of s and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(3\/8)\/(s\/(s\/s**5)))\/(s*s**0)**(3\/5))**(-1\/10))**(-2\/37) assuming s is positive.\nAnswer: s**(-209\/7400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2848*d - 343282 = -8717*d - 602698 - 397912 for d.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -2. Suppose r*n - 142 = 2. Solve -2*v + n = -d, -2*d + 9 = 2*v - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(89976\/(-115))*(98\/(-35))\/(-7).\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25928*c + 71312 + 39708 = -24220*c for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(-1*sqrt(36)))**2 - ((sqrt(8)\/sqrt(2) + sqrt(4))*-1)\/sqrt(2))*-4.\nAnswer: -8*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mxxmzxxmzmxm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 0.9, 45, 1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (-14 - 3 - ((-23 - -22) + -23))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaiypby. Give prob of sequence ya.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 5*l + 2. Let f be i(-4). Is (-3)\/(1 - (-37)\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25*g. Let a be n(-1). Let w be a\/(-2)*8\/(-10). Suppose 2*h + 90 = 4*s, -s + 0 = -2*h - 15. Calculate the highest common divisor of s and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 16 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000213 - 11?\nAnswer: -1000230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**8\/224 - w**7\/140 + w**6\/40 - 19*w**2 - 2. Suppose f(n) = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5952*x**4 + 9657 with respect to x.\nAnswer: -23808*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f**2 - 2*f**6 - f**6 - f**2 + 0*f**2 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 21*o**2 + 6*o - 1. Let b(r) = 11*r**2 + 3*r - 1. Let p(t) = -5*b(t) + 3*m(t). Let u be p(-1). Suppose 4*x - u*x + 12 = 0. Solve 0*w = -w - x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*d + 0 = 48, 3*u + 5*d = -56. Let f = 31 + u. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-24) + -2 - (-109)\/4. Let z(y) = 55*y - 25. Let a be z(-8). Let v = a - -654. Calculate the greatest common factor of v and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -26. Solve -k = k - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 2.6. Let j = 2.12 - 0.12. Let q = s + j. Which is the smallest value? (a) q (b) 2\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*n = 15, -5*o + o - 19 = 3*n. Let t = -3 + 3.9. Let h = t - 0.7. What is the nearest to o in 2\/15, 1\/6, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 1 in increasing order.\nAnswer: -17, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdssrms. Give prob of sequence rm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 16807.\nAnswer: -4, 1, 16807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 57 = -0*f. Let i = 37 + f. Let u = -3 + 3. Solve u*g - 10 = p + 3*g, -5*g = p + i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(0 - 3*i + 0) - i + 6*i + 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 77 - 7. Let x(h) = -h**3 - 48*h**2 + 53*h + 213. Let y be x(-49). Solve p + 2*a - k = -0*p, y = -2*p + 5*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 59. Calculate u(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/5 - 48*r**4\/5 + 176*r**3\/5 + 1344*r**2\/5 + 1568*r\/5 = 0. What is r?\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5.6*0.1\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1222 - -251550?\nAnswer: 250324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -23, -27, -31?\n\"Answer: -4*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = -5*y, 5*f - 111*y - 13 = -115*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11606, 11588, 11564, 11528, 11474?\n\"Answer: -z**3 + 3*z**2 - 20*z + 11624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -1623.8242.\nAnswer: 373.479566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -a682 (base 12) to base 4\nAnswer: -10131002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4012294 divided by -308638?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*s - 30450 = -211*s. Does 70 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 3 + 3)*(-1 + 272*q - 49*q + 0 + 1203*q).\nAnswer: 7130*q**4 - 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29707016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npp when three letters picked without replacement from {p: 2, s: 2, n: 8}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-154)\/(-65)*5\/16. Let n = -21\/13 + p. Let x = -1\/95 + 3327\/190. Calculate the common denominator of n and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 2)*(-7 - 2 + 3)*(0*t - 3*t + 5*t)*(-4 + 4 + 3) to k + x*t and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 51 = -10. Let r = -40 + h. Let u(o) = -7*o - 1. What is u(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42131383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0)\/((-2 - -3) + 0). Let r(i) = -i**2 - 3*i + 1. Let k be r(-3). Sort a, k, 2\/17.\nAnswer: a, 2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:32 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/(-8) + (1 - -1). Let o = -3 - m. What is the second derivative of -2*f + 0*f + 5*f**5 + 3*f - o*f**5 wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l**2 + 0*l + l**2 - 3*l + 2. Let b(s) = s**2 + 7*s + 5*s**2 - 9*s**2 - 5. Give -3*b(q) - 7*r(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -113023 (base 4) to base 8\nAnswer: -2713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 32 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 90475.25 hours?\nAnswer: 325710900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1422\/790*(-5)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59032 and 4136?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23568 - 23580.181. What is v rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.936 + -0.064. Let n = -79162699.999923 - -79162663. Let v = p - n. Round v to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/3 - 65*f**4 - 5883*f**3 - 49347*f**2 - 144396*f - 142560 = 0. Calculate f.\nAnswer: -60, -3, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 27448\/395?\nAnswer: 27448\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i + 2470 = 174*i - 145*i for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 8*n + 12. Let p be s(9). Let v = -19 + p. Let d = v + 35. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**14*r)\/r*r*r)\/r)\/(r**(-12)*r*r) assuming r is positive.\nAnswer: r**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9172 divided by 231.\nAnswer: 9172\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/15 - 19622*l**3\/15 - 78078*l**2 - 2048210*l\/3 - 4875500\/3 = 0?\nAnswer: -9751, -50, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 8 = 0. Let z(n) = -n**2 + 8*n. Let a be z(c). Is a < -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10179017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w + 10*w - 5*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -2*g - 3*x, g - 2*x - 377 = 18*g + 250 + 376 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7799 and 2607.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 17*g**5\/60 + g**3\/2 - 8*g**2 + 1. Let y(c) be the second derivative of h(c). Find the first derivative of y(q) wrt q.\nAnswer: 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -270, -1, -897 in descending order.\nAnswer: 3, 0, -1, -270, -897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6307*l*y**3 - 495*l - 4*y**3 - 12911*y**2 wrt l.\nAnswer: -6307*y**3 - 495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1008)*-2 + sqrt(7))**2.\nAnswer: 230*sqrt(7) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205658227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -90*k**2 - 7*k. Let j(t) = -36*t - 13. What is v(j(c))?\nAnswer: -116640*c**2 - 83988*c - 15119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2\/2 + 2*z + 8. Let t = 7 - 1. What is the smallest common multiple of u(-4) and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -5. What is the tens digit of a + 6\/2 + 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 27*w**2 - 31*w - 2. Let s be i(-28). Suppose 18*d - 116 = s. Solve -4*y + 4*q = 5*q + d, 4*q = -5*y - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*y + 4, 2*y + 4 = -5*d - 26. Let u = -160.7 + 161. Which is the second biggest value? (a) d (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7253 is divided by 2416.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y - 4*x = 154, -3*x - 231 = -3*y. Suppose y = -15*a + 4*a. Let b be 74\/14 + (3 - (-23)\/a). Solve -b*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -375146*x**5 + 30*x**3 + 272423*x**2 - 71 wrt x?\nAnswer: -22508760*x**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/18*6\/(-45). Suppose -4*s - 2*l = -8, -l - 3*l = s - 2. Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 8}. Give prob of sequence mmcc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*3)\/(sqrt(600)\/sqrt(4)).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7742 - 111*y**2 - 7742 + 0*y**2 + y**2 - 2*y**2 + (-2 + 2 + y)*(-1 + 1 - y) in the form f + z*y**2 + g*y and give z.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 - 11*z**2 - 5*z + 11. Let i(h) = h**2 - 2*h. Let s(l) = l**3 - 6*l**2 + 7*l + 2. Let t(j) = -4*i(j) - s(j). Determine -4*d(u) - 22*t(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52, -167, -342, -571, -848, -1167, -1522?\n\"Answer: l**3 - 36*l**2 - 14*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*y + 3*y - 26, -5*y = -5*f + 15. Suppose 3*i = y*i + 5. Let l be ((-10)\/4)\/(1\/2). Sort l, -1, i.\nAnswer: l, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21276770 - -103.\nAnswer: -21276667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.33 - -95.67. Let d = 97.973 - f. What is d rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 310979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/7 - 6336*o\/7 - 3345408\/7 = 0 for o.\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4243113 (base 5) to base 11\nAnswer: 49924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6083\/8 or -759?\nAnswer: -6083\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4207 is divided by 4195?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -0.2. Let b(w) = -22*w + 6. Let q be b(-3). Let o = q + -361\/5. What is the biggest value in 2\/5, a, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13392, -13449, -13602, -13899, -14388?\n\"Answer: -8*b**3 - b - 13383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112159548, -112159546, -112159544, -112159542?\nAnswer: -112159540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3503 - 24589\/7. Does g = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -258. What are the prime factors of f?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2449 - -93067\/38. Let l = -64\/19 - h. Let p = 16181\/4 + -4067. Find the common denominator of l and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358 + 354. Let v be (0 - (-6)\/8)\/1. Let l = 787.3 + -785. Put l, -5, v, b in ascending order.\nAnswer: -5, b, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 + 2 - 13)*(4*k - 4*k - k) in the form z*k + p and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606*z + 1118*z - 56566 = 955*z + 74340 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391025882?\nAnswer: 2, 13, 349, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 4*w + 1. Suppose -c = -2*c. Suppose c = -4*l + 5*l - 3. What are the prime factors of o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 + -8.4. Let s = 1.2 - b. What is s rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-203))\/((-85)\/(-7))*(-223 - -218)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 1. Let k = -70 - -73. Let q be y(k). Solve -5 = -3*v + q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*d + 14 = 0, -k - 5*d - 8 - 5 = 0. Let y(r) be the second derivative of -r**3\/3 - r. Calculate y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 6*z - 2. Let a(s) = s**2 - 4*s + 1. Let g be a(4). Let l be (g + 1)\/((-8)\/(-36)). Suppose n - 5*r = -20, -l - 4 = 2*n - r. Give x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860762 = -v + 3*m - 3915941, 0 = -4*v - m - 19106799. What is v rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 9. Suppose 7*u = 4*u. Let o be (u + 0)\/(1 - 3). Determine x(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - (3795\/(-1100) - 4\/5). Sort 8, f, 0, 13, -2 in decreasing order.\nAnswer: 13, 8, f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(45\/(-12))*-18. Suppose h = 5*b - 7 - 4, 0 = -b - 2*h + 11. What is the units digit of b\/18 + 188\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 x when four letters picked without replacement from hhhxhxnhxhhhththxxnx.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:04 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593938 is divided by 1893.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-9 + 1)\/(-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186a1 (base 14) to base 15.\nAnswer: 13425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -162c + -108?\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -175, -548, -1279, -2488, -4295?\nAnswer: -6820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 748810\/127 - 5896. Sort 2\/9, j, 3 in descending order.\nAnswer: 3, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/10)\/((-2)\/10). Let t(f) = -3*f**2 - 4*f + 7. Suppose 0*r + 5*r + 20 = 0. Let j(p) = 4*p**2 + 4*p - 8. Let b(z) = r*j(z) - 5*t(z). What is b(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17ccb (base 14) to base 10.\nAnswer: -60155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322*o**3*w**2 - 128*o**3*w - 3*o**3 - 2*o*w wrt w?\nAnswer: -644*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f - 2. Let l(i) = -3*i**3 - 43*i - 4. Calculate k(h) - l(h).\nAnswer: 2*h**3 + 39*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzdhdzmdghddhzddz. What is prob of sequence zg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**7\/105 + n**5\/60 + 13*n**4\/4 + 67*n**3\/3 + 95. Let f(h) be the third derivative of c(h). Differentiate f(m) wrt m.\nAnswer: -48*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/13 + 98*q**2\/13 + 70*q + 814\/13 = 0.\nAnswer: -37, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 22*j**2 - 53*j + 20. Give x(19).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609*c**2 - 1174*c**2 + 561*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 298 + -292. Does 33 divide g\/42 + 16630\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-6 + 1 + 3). Let i(l) = l**2 + l + 3. Let h be i(v). Suppose -h*r + 36 = -4. Calculate the least common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579264187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 4*m - 6. Let r be w(-3). Suppose 45*k - 48*k + r = 0. Let p be 0\/(-2) + (10 - k). Solve 0 = -4*x - i - 17, -3*x = -4*x - p*i + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 21\/(-49) - 5\/(35\/(-444))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/4 (b) 15 (c) 1188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026159 to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 506700.\nAnswer: 506700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0, -3, -27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/105*-5)\/(2\/(-7868)). Factor -1121*g**3 + w*g**3 + 32*g - 8*g - 18*g**2 + 8*g**2 - 8*g**2.\nAnswer: 3*g*(g - 4)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -20. Let c = w - -32.000054. Round c to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-3))\/(-16) - 624\/(-9). Let z(q) = 2*q**3 - 11*q**2 - 4*q - 12. Let d be z(8). Calculate the highest common divisor of f and d.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2*h**2 - 4. Suppose w - 4*w - 3*k - 24 = 0, 2*w - 14 = 4*k. Calculate s(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1534)\/182)\/((-296)\/(-4144)).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.5 - 18.6. What is the nearest to 2 in -1\/6, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 768711 and 2306133.\nAnswer: 2306133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15193\/88164 + 11\/2844. What is the common denominator of a and -115\/558?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) - (-125)\/(-45). Let m = -7.7 - -8. Let y = -0.2 - m. Which is the second biggest value? (a) j (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jkcjqrm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11275001 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2503*i**4 - 2*i**3 + 34*i**2 - 1783*i - 2. Let d(x) = x**3 - 17*x**2 - x + 1. Let g(q) = -2*d(q) - v(q). What is the second derivative of g(b) wrt b?\nAnswer: -30036*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1147 (b) -2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*i + 30 + 19, 2*g - 18 = -4*i. Suppose 3*l - 4*a - g = 7, 0 = 4*l - 2*a - 30. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1792 divided by -448\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552826174?\nAnswer: 2, 776413087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -424460 rounded to the nearest 10000?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**4*v**2 - 1653*k**4*v + 1999*v**2 + v with respect to k.\nAnswer: -8*k**3*v**2 - 6612*k**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*g + 38*g - 57*g + (-2 + 2 + 1)*(-4*g + 2*g + 0*g).\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53212495 by -7.\nAnswer: -7601785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = -0*j. Suppose 0 = p - j. What is the third derivative of -57 + 57 - p*a**2 + 12*a**4 wrt a?\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119181.2408 rounded to the nearest one thousand?\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l. Suppose 4\/5*v**3 + l*v**4 - 2\/5*v + 0*v**2 + 0 - 2\/5*v**5 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w + 5, 4*d - 12 = -4*w. Let r = -3 + 7. Calculate the lowest common multiple of r and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 1483\nAnswer: 14\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 4. Let b = 17 + -24. Let z be p(b). Suppose 3*c = 6, 5*r - z*c - 215 = 2*c. What is the greatest common factor of 30 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25838*c**3*u**4 - 4*c**3 + 3*c**2 - 4*c wrt u.\nAnswer: -103352*c**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, 4, -4, -24.48, -0.2 in descending order.\nAnswer: 4, -0.2, -2, -4, -22, -24.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = p - 2*p - o, -2*o + 58 = 5*p. Calculate the common denominator of -91\/20 and (p\/(-32))\/(1\/(-68)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705574 is divided by 742.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1542 + -1525. Let a = 0 + 2. Let q = 2 + a. Calculate the remainder when s is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 3*k = 4*c + 37, -4*c + 24 = k. Solve 0 = 2*a + c*h + 25, 0 = 2*a - 0*a + h + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00186229 rounded to 5 dps?\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102161*r + 101774*r = 29025 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 + 0 = 0. Let p(h) = 12*h**2 - 2*h + 2. Let v(d) = -34*d**2 + 5*d - 7. Let g(m) = -3*p(m) - v(m). Let w(i) = -i - 1. Give q*g(k) - w(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:20 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645718.\nAnswer: 2, 322859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 + -83. Let r = t - 61. Put -0.3, -2\/13, 2\/5, r in descending order.\nAnswer: 2\/5, -2\/13, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - -39 - 16\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 118334.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -50, -70, -106, -164, -250, -370?\n\"Answer: -u**3 + u**2 - 6*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, 18, 116, 304, 612, 1070?\n\"Answer: 5*q**3 + 3*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:56 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 132304470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219 + 220 - 28*r - 429)*(0*r - r + 0*r).\nAnswer: 28*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9469447165 + -940.7?\nAnswer: 9469446224.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.259247 - -0.033247. Round j to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 48.93653um?\nAnswer: 0.00000004893653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(294) - sqrt(294)*-2)*-4)\/((1*sqrt(24))\/sqrt(4)))\/(1*((-5*sqrt(14)\/sqrt(2) - sqrt(7)) + (sqrt(70)\/(sqrt(20)\/sqrt(2)) - sqrt(7)))) + -1.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 0, -15, -34, -57?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2096810479?\nAnswer: 23, 41, 193, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*d + 100, -20 = -3*d + 2*d - 4*s. Suppose -d = -2*w - 14. What is the second derivative of -4*a - 3*a**3 + 35*a + 24*a**3 + 7*a**w wrt a?\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/128*-8 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.01 + -15.96. Which is the biggest value? (a) 0.1 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2422, 4872, 7350, 9862, 12414, 15012, 17662?\nAnswer: 20370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(28\/(-3)))\/(6\/(-16))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(-4*z - 2*z - 3*z + 2*z + (-2 + 2 + 10*z)*(-2 - 4 + 4))*(0 + 0 + 3*z).\nAnswer: 243*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/16 - (10\/45 - (-9)\/324).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1129, -1, 4 in decreasing order.\nAnswer: 4, 1, -1, -1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -92.7. Let a = -16 + 17. Let h = 13\/11 + -28\/33. What is the closest to a in w, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*13\/312 - 20\/(-6). Let x = 53 + -54. Put 5, z, x, 2 in decreasing order.\nAnswer: 5, z, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 138126328544 + -8.\nAnswer: 138126328536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -39. Suppose -24 = h + 3*z, -5 = b*h + z + 59. Let c = h + 24. Solve -x + c - 5 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25 + 2)*-1 + 0. Let k = f - 13. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2415*m - 45824. Calculate r(-19).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-22) + 114\/(-22). Let y(r) = 11*r - 7. Let p(i) = -5*i + 3. Let n be ((-6)\/12)\/(2\/(-36)). Let s(v) = n*p(v) + 4*y(v). Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 312 and 7?\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -10323.\nAnswer: 16\/10323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817005348.\nAnswer: 2, 3, 107, 212099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 594*f.\nAnswer: 2*f*(f - 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.821648 less than -1.5?\nAnswer: 1.321648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/730825 and 29\/7130.\nAnswer: 1461650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 146542?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 46*d - 49*d. Let y be d\/(10\/6411)*2. Let i = y + -3392. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let r = 4 - w. Let o be ((-1)\/2)\/(1\/(-8)). Which is the nearest to -2? (a) r (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 71 + 49 = 0. Suppose -3*c + i - 3 = 0. What is the derivative of -3 - 3*z - c*z + 0 wrt z?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {u: 8, i: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847 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: Suppose 4*q = s + s - 94, -5*q = 4*s - 240. Suppose -4*f + 3*f = -s. Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 6)*(-k + 4*k**2 + k) - 3*k**2 + 10 + 10 - 25 in the form c + z*k + q*k**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 35 - 50 + 1002*w in the form y + b*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*(b*b*b**1*b)\/b*b*b)\/b)\/b)**(2\/19))**(-26)\/(b**1*b**6*(b*b*b\/(b\/(b\/b**(-3)*b))*b)\/b**0) assuming b is positive.\nAnswer: b**(-545\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 602 + -598. Let q = 4 + -3. Solve 0 = r - q + m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 120?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -4*v - 1899 + 1939, -v + 30 = -3*i + 3*i + 4*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*o - 3*a, -5*o - 28 = a + 27. Let v = 8 + o. Let y = -3 - v. Solve y - 6 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 4, -15, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1236 - -1232. What is the third biggest value in u, -4\/39, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -168, -126, 6, 234, 564, 1002?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17537 divided by 57.\nAnswer: -923\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*o - 2024 = -1953*o - 6380 - 2811 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 5*a - 970. Let h = a - -99. Let g be 100\/(-12) - h\/(-6). Let w(j) = -j**2 - 7*j + 7. Calculate w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 51*s + 33. Let f be n(25). Let i be 1\/(1\/6) + -2. What is the first derivative of -11*l**4 - f - 2 - 1 + 13*l**i wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -47. Find the second derivative of 4*b - 39*b**5 + 2*b + 28*b**v wrt b.\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 12, 17, 24, 33, 44, 57?\n\"Answer: s**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/4 + a**3\/6 - a**2 + 2*a. Suppose 35*z - 3893 + 806 + 1407 = 0. Calculate the smallest common multiple of y(2) and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 0*u - u**2 - 5 - u - 2*u. Is p(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1200001*x**2 - 6*x - 27. Let b(a) = 21*a + 177. Let q be b(-8). Let j be m(q). What is j rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t + 5 = 45*t. Sort 20, -4, t in ascending order.\nAnswer: -4, t, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*r - 5. Let u = r - -23. What is the smallest common multiple of 8 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 76.18?\nAnswer: 76.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000805 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/4 + 179*m**2\/4 + 21682*m + 43183 = 0 for m.\nAnswer: -217, -2, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.3 (b) 2\/199 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*o + 73*o + 74*o + 76*o + 79*o - 301*o - 71*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*o**3 - 22 + 115*o**3 - 14 - 18*o**3 + 36.\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 147220206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*(-18 + -1). Let p be (-1 + 23)\/((-6)\/9). Let d = l - p. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1431 + 3489. Suppose 0 = -p + y + 4995. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2 + 17*c - 28. Let i be d(13). Let s be (-57 - i)\/(3\/(-1250)). Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025677085 to 7 decimal places.\nAnswer: -0.0000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -509*h + 235.\nAnswer: -509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13204135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 9. Let a(d) = -d**2 - d - 1. Let h be a(1). Let j be q(h). Solve 15 = 3*u - j, -3*u + 19 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let x(t) = -10*t. Let i = 25 - 3. Let k(h) = i*q(h) - 2*x(h). Let z(r) = 76*r. Let c(u) = -7*u. Let w(y) = 32*c(y) + 3*z(y). Give w(k(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(((-8)\/178)\/4) - 0. Suppose -1510 = -8*c + x. Suppose 11*b - c = 482. What is the remainder when b is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m. Suppose 4*q + 3*r + 1 = 0, m*q - 5*r + 21 = q. What are the prime factors of (-2 - q\/(-4)) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -56*n + 5. Let d(c) = 29*c - 3. Determine -13*d(l) - 6*p(l).\nAnswer: -41*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Let w(k) = 5*k - 47 - 5*k + 23 - k + 25. Let b(i) = -18*i + 16. Let f(p) = y*w(p) + b(p). Differentiate f(j) with respect to j.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5485884 and -1003.\nAnswer: 5484881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 197067.6 minus 0.1466553?\nAnswer: 197067.4533447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 4*v + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, a: 6}. Give prob of sequence aka.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 199b3?\nAnswer: 199b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2)\/2*1. Let u(b) = -b + 13. Let d be u(z). Suppose -170 = -2*a + 4*l, -2*a - 4*l - 443 = -7*a. What is the greatest common divisor of a and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + -91 - (25 - -5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2, 0.28, 0.1, -0.2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-93)\/7 - 2\/(-7). Let d = 21 + t. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 442 and 91.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(22)\/(-1*sqrt(2)) + (-1*(sqrt(33)\/sqrt(3) + 4))**2 + (-2*(sqrt(1100) + -2) - (1 + sqrt(1100)*1)).\nAnswer: -23*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*g + g = 4, 5*g = -3*f + 7. Let k = 28 + f. Suppose 4*h - 98 = -5*y + 2*h, k = 2*y - h. Solve -5*i + 5*o - 5 = 25, 0 = 2*i - 4*o + y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79275, -79263, -79251, -79239?\n\"Answer: 12*c - 79287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 143565476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19867459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19946 times 533.4\nAnswer: 10639196.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538 = 277794*s - 277525*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703 is divided by 506.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15337, -27494, -39655, -51820, -63989, -76162, -88339?\nAnswer: -100520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1386*t + 2*j = 1362, -11538*j = -11533*j + 60 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) - 130*22\/2420. What is the closest to o in 1, -22, 1\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*g - 9290 = 59*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrggrrrggg. Give prob of sequence gg.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 73 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 575282*v**4 - 3*v**3 + 9153*v**2 - 2*v + 62 wrt v.\nAnswer: 13806768*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184850182 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78233 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, -225, -751, -1777, -3471?\n\"Answer: -28*b**3 + 2*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 7. Let v(p) = p - 4. Give 4*k(a) + 7*v(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2835)*-1)\/(sqrt(5) + sqrt(20)\/sqrt(4)*6 + sqrt(5) + (sqrt(135)\/sqrt(3))\/sqrt(9)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 57, 58, 59, 60, 61?\n\"Answer: c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -847 - -852.094. Let j = u + -0.094. Sort 7, -1, j in decreasing order.\nAnswer: 7, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161865 and 0.3.\nAnswer: -48559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7652572 (base 10) to base 11.\nAnswer: 4357544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + -2 + (-12 - -6) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 188*b**3 + 12*b**2 + 3*b + 55. Is v(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + o = 4*o + 165, -2*p = 2*o - 160. Suppose 0 = -4*m - 3*s + 111, 2*m = 5*m + 3*s - p. Solve -5*f = 5*h + m, 0 = 4*h - 4*f + 3*f + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.61 times -32398.5\nAnswer: 116958.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21304, -5\/2, 96 in ascending order.\nAnswer: -5\/2, 0, 96, 21304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7364620 to the nearest integer?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -191, -177, -147, -95, -15, 99?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -3*t - 41 - 678 - 37 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(-14))*b**(3\/8) assuming b is positive.\nAnswer: b**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-48) + 134\/6. Suppose z = 4*y - 66. Suppose d - 8 = y. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b - 470. What is q(56)?\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 10*l**2 + 13*l - 8. Let b be j(11). Let f = -4 + 1. Does 7 divide b\/((-2)\/6*f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 55*f**2 + 172*f - 5671. Is c(146) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + t**2 - 1 + (-2 - 2 + 3)*(-t**2 + t**2 - 2*t**2) + 5*t**2 - 7 + 7)*(-6*t**2 + 24*t**2 - t**2) as w*t**4 + p*t**2 + v*t + j*t**3 + m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163327260.\nAnswer: 2, 5, 58166363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -163, -172, -183, -196?\n\"Answer: -n**2 - 6*n - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:05 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1514095 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 60 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -611420*w**2 - 6838*w + 2 wrt w.\nAnswer: -1222840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/9)\/i*i)**(1\/47)*(i**(-1\/2)\/i*i*i)**44)\/((i**(2\/11)*i)**(-2\/31))**(2\/9) assuming i is positive.\nAnswer: i**(3175108\/144243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 402637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 12) in base 5?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z = -56*z. Which is smaller: z or -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46577 - 595801 + 55*d - 50*d - 10190.\nAnswer: 5*d - 559414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4035 - 4035. Suppose 2*l = -l - 9. Put 22, g, l in ascending order.\nAnswer: l, g, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 26. Suppose 4*d - 5 = y*d. Let u(v) = v**3 + 6*v**2 + v + 7. What is the remainder when 106 is divided by u(d)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 144*u**3 + 31 - 208*u + 28*u**2 + 4*u**4 + 17 - 24*u**5 + 8*u**5 = 0. Calculate u.\nAnswer: -2, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -11. Let l = o - -28. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -1 (c) 3.70581\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most -27\/295181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**2 - 1\/6*b**3 - 1\/120*b**6 - 1\/6*b**4 + 0 - 3\/10*b**5 + 0*b. List the prime factors of q(-18).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961*m + 11693 + 23250 + 16951 = 0 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**3 + 8*n**2 - 7*n - 15. Let y be g(-1). Solve -3*a - y - 3 = 4*k, 0 = 2*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 2)*(-24)\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/7 - 12724*q\/7 + 20237522\/7 = 0. Calculate q.\nAnswer: 3181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -9421*n**7\/210 - n**5\/30 + 10783*n**3\/6 - 2*n**2 + 721*n. What is the derivative of g(t) wrt t?\nAnswer: -37684*t**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -431?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2*s**2 - 20*q - 325*s**2 wrt q?\nAnswer: 4*q*s**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*n = -34 + 10, h = -5*n + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 91\/(-4) - (-3 + (-26)\/(-8)). Let w = 38 + a. Suppose -4*g - w = -9*g. Solve -g*n + 5*x = -26 + 6, -20 = 4*n + 5*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let x = 0.215 - -0.085. What is the nearest to 2 in s, x, -0.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*u*x**3 + 665*u*x - 803333*u - 2*x**4 with respect to x.\nAnswer: -42*u*x**2 + 665*u - 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhj. What is prob of picking 2 h and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*y**2 + 5697 + 88*y**2 + 5721 - 11418 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/3 + 20*r**4\/3 - 11*r**3 - 18*r**2 = 0. What is r?\nAnswer: -1, 0, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssxs when four letters picked without replacement from {s: 3, a: 1, b: 9, x: 6}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**3 + 8*s**2 + s + 10. Let d be y(-9). Suppose 6*o = -247 + d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 18*a**2 - 14*a - 23. Let i be (80\/(-6) - -1) + (-19)\/(-57). Is x(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(72) - ((sqrt(72) - (-1 + sqrt(72))) + 3)) + sqrt(72) - (-1*sqrt(72) + sqrt(72) + -2))*4)**2*-1)*3.\nAnswer: -14013 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*z + 31. Let n = 2 - z. Suppose 3*v = 3*y, 2 = 5*y - 3*v - v. Which is the nearest to 2? (a) -2 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 24652.63 hours?\nAnswer: 88749468000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622087.61 rounded to the nearest one hundred?\nAnswer: 3622100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.4, -83\/11605?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 1879c?\nAnswer: -187a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wttwtwtlwtwtww. Give prob of sequence twlw.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -20*r + 73. What is the units digit of k(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/2, -79, 15.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-196)*-7*-4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682426520294 take away -0.42?\nAnswer: 682426520294.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 9. Let w be -2 + -1 - (8 + -11 + -3). Calculate q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6228 and 635948.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1685 + -1013. Calculate the highest common divisor of 42 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -365 in 1\/7, 0.3, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**8\/10080 - k**7\/630 + k**6\/90 + 17*k**5\/60 + 17*k**2. Let x(p) be the third derivative of j(p). Solve x(w) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2323 + -2157. Calculate the remainder when y is divided by 78.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - 6*sqrt(153)*1) + (sqrt(153) - sqrt(153)*-2*5))\/(1*1*sqrt(900) + sqrt(900) + sqrt(900)) + 0)**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n - v - 41, 130*n - 3*v = -132*n + 257*n - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 407323 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 335*b - 320. Is v(7) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by (18 + -41)\/((-4)\/2 + 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 1, j: 1, c: 4, e: 1}. Give prob of picking 1 b, 1 t, 1 c, and 1 e.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23400, -35557, -55818, -84183?\nAnswer: -120652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786 = 120*w + 9586 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -827*l**3 - 736*l**2 wrt l.\nAnswer: -4962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*l + 20 = 0, -4*n - 5*l - 2 = -20. Let o(c) = -c**3 + 6*c**2 + 6*c - 2. Give o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - 0) - (599 - 585)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265*d**3 - 265*d**3 + 561*d**3 - 3*d**4 - 149 wrt d?\nAnswer: -12*d**3 + 93*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208\/(-64)*(18 - 22)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*-1*(2 + -1). Suppose 2*s - 4*n = -0*n + 24, -3*s + 4*n + 26 = i. Solve 0 = s*r + j + 1, -4*r + 7*r + 3*j + 9 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 4691.\nAnswer: -18764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*l + 1 - 32610*l**4 - 1 + 31122*l**4 wrt l?\nAnswer: -17856*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -29. Let u(w) = w**2 - 14*w + 12. Let h be u(n). Let f = -25 - h. Solve 0 = -3*c + c - f, -t + 4*c = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*a - 25 = 256*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 579*y - 102 - 65 + 166. Let n(l) = -l. Give d(n(x)).\nAnswer: -579*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/330372 and 47\/18354.\nAnswer: 330372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)\/(c**(-2\/7)*c)*(c**(3\/2)*c)\/((c*c**(2\/7))\/c))**(3\/10))**(-9) assuming c is positive.\nAnswer: c**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 38, 84, 150?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -8*p**5 + 25*p**4\/6 - 110*p**2. What is the second derivative of i(g) wrt g?\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7469.\nAnswer: 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 + 4)*(-535*n - 1828 + 1828) to r*n + d and give r.\nAnswer: 4280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12445109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2*2)\/((-231)\/(-14)). Which is the closest to -0.2? (a) q (b) 2 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -4)*3\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c. Let d be r(6). Suppose 0 = -5*k + 2*l + 198, 2*k + l = 3*l + d. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -87? (a) 0.31 (b) 3 (c) -38.95 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 + x + 3. Let l be c(6). Let z be (-1)\/3 - (-795)\/9. Let a be z\/20 + (-4)\/10. Solve -2*t = 3*g + l, 3*g + 12 = -g - a*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/(-10)*(-5)\/3. Solve 5*v = -o - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = d - 428, -2*d + 3*o = -1376 + 534. What is the greatest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 108*h**2 + 567*h + 810.\nAnswer: 3*(h + 3)**2*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:37 PM?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand -y - y**4 + y - 3*y**4 - y**4 + 2*y**4 + (0*y**3 - 3*y**3 + 4*y**3)*(-2*y + 2*y - 2*y) - y**4 - 3 + 3 + 22 - 16*y**4 - 22.\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (-10 - (-6 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Let t = 4.08 + -3.08. Put h, -5, t in increasing order.\nAnswer: -5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, x: 2, m: 2}. Give prob of picking 2 i and 2 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14403643 to the power of 1\/2, to the nearest integer?\nAnswer: 3795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*d**2)*(62*d + 5*d + 184*d)*(18 - 10 + 2) to the form v*d**3 + s + f*d**2 + o*d and give v.\nAnswer: 5020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 5*d**4\/12 + d**3\/6 + d. Let l(c) = c**2 + 4*c + 15. What is the lowest common multiple of v(2) and l(-5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*((-152)\/(-300))\/19)\/(8\/(-20))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/245)\/(30\/(-700)*-10).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(539) + -2 + -5 + -6*(-1 + sqrt(539))**2 + -3)*-5 + 4.\nAnswer: -455*sqrt(11) + 16256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*n*v**2 - n*v + 5412*n - 2*v**3 - 7*v - 12 wrt v.\nAnswer: 162*n*v - n - 6*v**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 125\/(-35))\/(16\/(-56)). Let f(l) = l**3 + 7*l**2 + l + 4. Let m be f(-7). Sort m, 1, d, -2 in descending order.\nAnswer: d, 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wssw when four letters picked without replacement from kwkwkkksskkkwkwwkw?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3*(0 - (-57 - 6)). Calculate the highest common factor of g and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*m**2 - 2*m**3 + 5*m**3 + 0*m**3 - 5*m**3 as x*m**2 + k*m**3 + j*m + r and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27749100 to the power of 1\/2, to the nearest integer?\nAnswer: 5268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 1046*m**2 + 1041*m**2 - 2087*m**2 + 8*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870591 is divided by 15530.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59712 and 168.\nAnswer: 417984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.34 - -1.34. Let r = -0.79 - -1.19. Which is the third smallest value? (a) p (b) 0.12 (c) -0.3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 3*y**2 - 120*y - 802. Give w(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8441 + -8441. Suppose 3\/2*u**3 + 0*u + h - 3*u**2 = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3, 34, -4, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (3 - (-1 - 0)). Suppose 45 = 5*s - l*j - j, -4*s + 4*j = -36. Suppose 4*g = s - 1. Put g, -2, -5 in ascending order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -141. Does 5 divide -9 - (k - -1) - -90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97831025, -97831021, -97831015, -97831007, -97830997, -97830985?\nAnswer: -97830971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 28*a + 288. Calculate i(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - -8 - 572\/261. Let l = n + 12\/29. Let i = 1.5 + -1. Which is the third smallest value? (a) l (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 2\/3, -1, -238, 1.37, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 18 (d) 2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {v: 1, s: 3, b: 6, r: 2, n: 1, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + q**5 + 7 - q)*(5 - 1 - 3).\nAnswer: q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/(-48))\/4*18\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -27*j - 17. Let y be p(-1). Solve 4*v - y = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 18*c - 3400 = 0. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*x - x - 8 = 0, -2*o = 5*x + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -3*l - 33*l**2 - 1\/120*l**6 + 1\/3*l**3 + 0 + 0*l**5 - 7\/12*l**4 + 13\/210*l**7. What is the second derivative of m(x) wrt x?\nAnswer: 156*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3472)\/(-21) + 6 + 2\/3. What is the highest common divisor of 258 and l?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c**3 - 4*c**2 - 6*c + 11. Let n(u) = -10*u**3 + 3*u**2 + 5*u - 9. Let y(p) = -5*m(p) - 6*n(p). Give y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 1*19410) + -1 + 1 + 3. Round j to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a + 99575 = 25451. Calculate the greatest common factor of a and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2743 and 4803071?\nAnswer: 1013447981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197249410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*f - 0*f + 5*i, -3*f + 65 = i. Suppose 0*r - f = -4*r. Let m = 0.3083 + -0.6083. Which is the closest to -0.2? (a) -1\/9 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19302 and 6434.\nAnswer: 19302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42.7 and 7?\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 3, g: 10, a: 1}. Give prob of picking 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -594\/10037?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (506\/22 - 29) + (-2 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heet when four letters picked without replacement from hehhhhhhhhhehetett?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, -5, 1\/4, -68, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/1*-4*(-3)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 21716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3653 * 0.5.\nAnswer: -1826.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1471 - 949. Calculate the highest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 8. Let b be z(12). Solve 0 = 4*p - r - 17, 2 = -5*p - b*r + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95663.51mm in meters?\nAnswer: 95.66351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbwbwrb. Give prob of sequence bbr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 27*r**2 + 327*r - 92. What is a(36)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let w(q) = q. Let t be w(3). Let n(s) = 5 - 6 + t*s + 1. Let i(u) = 3*n(u) + 5*p(u). Let y(a) = -a. Give i(y(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 12*s - 24. Suppose -s*d + 40 = -6*d. Suppose -6*v + v = -d. Calculate the lowest common multiple of 6 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6434 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/33 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*o**3 - 86*o**3 - 79*o**3 - 72*o**3 - 88*o**3 - 75*o**3 - 107*o**3.\nAnswer: -59*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.02. Let h = -16999 - -118990\/7. Which is the biggest value? (a) n (b) 0.2 (c) 3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6523*t**3 - 797*t wrt t.\nAnswer: 39138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11715, -3, -2, -128.\nAnswer: -11715, -128, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-168)\/672 + 18\/8 + -2. Solve t = 9*o + 3*o + 9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 134*a + 6. Suppose 5*l = -5*f + 410, 82 = f - 8*l + 5*l. Suppose -80*r + f*r = 2. What is the tens digit of q(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -73\/18, 3\/2, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2107*c**4 - 2*c**2 - 38*c - 9. Let x(w) = 10538*w**4 + 11*w**2 + 188*w + 46. Let k(f) = -11*d(f) - 2*x(f). Find the second derivative of k(l) wrt l.\nAnswer: 25212*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g**2 - 71*g**2 - 39*g**2 - 54*g**2.\nAnswer: -133*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1397, -40.2, -1\/4, -5 in descending order.\nAnswer: -2\/1397, -1\/4, -5, -40.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/13)\/p)\/(p**(-4)*p))\/(p**(-8)*p*p**7\/p) assuming p is positive.\nAnswer: p**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119520 and 13280.\nAnswer: 119520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 5*x**2 - 5*x + 8. What is h(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 3*u**2 + 9*u - 14. Give k(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6256789416 to the power of 1\/2, to the nearest integer?\nAnswer: 79100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -171?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107175*h - 254*h**2 - 1893*h**2 + 7158 - 107175*h with respect to h.\nAnswer: -4294*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 + 8*o + 15. Let f be t(8). Let n be (-2 - 0) + 27\/f. What is the third biggest value in n, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + k + k)*(k**2 + 2*k**2 - 4*k**2) - 10*k**3 + 2*k - 2*k to the form l*k**2 + q*k**3 + i*k + w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8 = 2*f. Suppose 4*p - 3*r = -62 - 82, 0 = -3*p + f*r - 108. Let x be (p\/(-30))\/((-6)\/(-40)). What is the highest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1932 and 14168.\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 263824.2 millennia?\nAnswer: 26382420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11267977 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2601*l**3 + 25*l + 50. Let u(p) = 650*p**3 + 6*p + 12. What is -6*s(y) + 25*u(y)?\nAnswer: 644*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -0.732.\nAnswer: 6.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -1003, -1569, -2151, -2755, -3387, -4053?\nAnswer: -4759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4897\/28 or -176?\nAnswer: -4897\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-3) - -3) + 2. Suppose o*s + s = 12. Suppose s*y = -3*t, 3*y + 10 = -2*y. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 + 5\/2. Suppose -g*v + 0*v = -2. Let c be (17\/85)\/(3\/60*4). Calculate the greatest common divisor of v and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3756045320100\/359 - -10462515197. Let c = 6586 + w. Let g = -13651\/1077 - c. Find the common denominator of -63\/5 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 6, -19, -114, 15, 2 in increasing order.\nAnswer: -114, -19, 2, 6, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -270, 0, 8, 170, 62 in decreasing order.\nAnswer: 170, 62, 8, 0, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - y + 83 - 76, -4*r + 4*y - 40 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7022339 is divided by 3325?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010692243 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 494\/3 + -166. Let z = 0.33 + -0.03. Let a = -0.3 + z. What is the nearest to 1 in 1, k, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m + 1 = -4*i, -4*i - 6 = -2*m. Let q be i\/(-12)*-4*93. Suppose -6 + q = 5*c. Calculate the greatest common divisor of c and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 6. Let z be k(-5). Let i(u) = 5*u - 1. What are the prime factors of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*l**3 - 122*l**3 + 92*l**2 + 27*l**3 - l.\nAnswer: -331*l**3 + 92*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 30\/7*y**3 - 36\/7*y**2 + 3\/7*y**5 + 0 - 33\/7*y + 36\/7*y**4 = 0.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/5)\/((-1)\/(-20)). What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1413 + -1396. Let d(p) = 3*p**3 - 17*p**2 - 14*p - 17. Let x(j) = j**3 + 0*j**2 - 1 - 6*j**2 - 5*j - 5. Calculate b*x(q) - 6*d(q).\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30616637738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 14\/4 - 2. Suppose -r = h - 4*h, 0 = 2*h. Is r at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let u(j) = -262566866*j**2. Determine z(u(x)).\nAnswer: 525133732*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1455 + -2520. Let v = z + 1774. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 - 3*o - 6. Suppose 0 = 7*g - 3*g - 20. Let c = -8 + g. Let r be 1 + c\/(6\/10). Let s(x) = -x**3 - x - 1. Determine r*s(k) + i(k).\nAnswer: -2*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3664.\nAnswer: -3\/3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let r(f) be the second derivative of 479*f**3\/6 + 3774*f. Determine x(r(v)).\nAnswer: 229441*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/44 - 193589312087\/28886. Let c = 6701839 + g. Let n = 3\/202 + c. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -63 - (4 - (10 + -7)). Let j = 70 + o. Sort -2, -1, j in descending order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645, -1299, -1993, -2745, -3573, -4495, -5529, -6693?\nAnswer: -8005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5858\/18 - (-180)\/(-20). Let d = s - 1925239\/6084. What is the common denominator of d and 37\/14?\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44553043 (base 7) in base 2?\nAnswer: -1110101110110101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -46. Suppose -16*v = -t*v + 30. What is the remainder when 38 is divided by 13*(0\/v - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22375026 and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + r - 30 = 0. Suppose -2*m + r*u = 10, -u = -4*m + 4*u. Differentiate -m - v**3 - 2 + 1 with respect to v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*q - q + 4, 4*a = -5*q + 7. Suppose -3*b = -5*d + 10, 4*d = 5*d - 5*b - 2. Solve -a*i - 1 = -d*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29628990, -29628989, -29628988, -29628987, -29628986, -29628985?\nAnswer: -29628984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 54*z - 630. Suppose 0 = 4*h - l + 6*l - 57, h + 2*l = z. Let n(i) = -i**2 + 12*i - 19. What is n(h)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819443060 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 3)*(-15)\/4 + -4. Let x = 25 - -27. Let k = 91 + x. What is the greatest common factor of d and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293272898 rounded to the nearest one million?\nAnswer: 293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 18*h - 953. Let z be d(53). Which is the closest to z? (a) 1 (b) 2\/11 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -267, -357, -401, -387, -303?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 0.3 (b) -0.05 (c) 11 (d) 796\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115053125 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 0 + (1 - 0). Let p = -6 - -6. Suppose -5*k + 3*z + 83 = p, 0 = -3*z + z - 2. Solve -o*i + 6 = 5*x - i, 3*i = 2*x + k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.0923 minutes to seconds.\nAnswer: 1205.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345500 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by -24.\nAnswer: 91\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {r: 1, a: 4, q: 3, s: 1, u: 1, l: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 156, 251, 358, 477, 608, 751?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -47*v + 98. Let j be f(2). Solve 7 = -j*p - 3*l, -5*l - 5 = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/193152 and -49\/37008.\nAnswer: 148920192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -13. Let i(l) = 10*l**3 - 8*l**2 - 13*l + 3. Let x(s) = -7*s**3 + 5*s**2 + 9*s - 2. Let c(o) = 5*i(o) + 7*x(o). Determine c(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 2*z - 2*z - 1 - 2*z. Suppose 0 = 2*v + 3 - 15. Let m(q) = q**3 + 4*q - 3. Determine v*g(r) - 2*m(r).\nAnswer: -2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -29*c + 861. Calculate f(20).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3 - 4680*n**2 - 5480277*n - 10941842 = 0. Calculate n.\nAnswer: -2339, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*s + 27090, -5*u + 451 + 8579 = -s. Round s to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 4329576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-4 - ((-154)\/(-14) - 243\/(-1)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -195*r**2 + 3*r - 1 + 0*r + 188*r**2. What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 5*p**4 + 0*p**4 + (3*p**2 - 3*p**2 + p**4)*(2 - 4 + 1) + 0*p**4 - 5*p**4 + 11*p**4.\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 5*d + 6. Suppose -555*l + 1815 = -192*l. Let i = -10 + 14. Suppose -i*o = -2*q + 12, 3*q - l = -3*o - 32. Calculate j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 651.0006l?\nAnswer: 651000.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 29*u**2 - 41*u + 349. Let g be j(-27). Is g at least -32\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213100288*h*s**2 - 1162136*h - 15*s wrt s.\nAnswer: -426200576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d9ca + 0?\nAnswer: 2d9ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 37\/7 + -3. What is the nearest to y in 2\/13, -4, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57\/2 of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 2. Let l be i(3). Suppose -y - l*y + 4*m = -311, 66 = y + 3*m. Suppose 0 = 3*k - 0*x - 3*x - y, -4*x + 87 = 5*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -221138\nAnswer: 1105690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-1 + -17)\/9). Which is the third smallest value? (a) l (b) -1 (c) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 642013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(2299) + 2 - (sqrt(2299)*-4 + -3)**2) + 4.\nAnswer: 1012*sqrt(19) + 147160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 967750 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 5)*(-5*x + 40*x + 169*x) as p*x + g and give p.\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 + 3*t - 5. Let s be f(2). Sort 3, 2, s in increasing order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 4. Suppose 0 = m*s - s - 24. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180944732 divided by -895766\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 141 and 143 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n\/(n*n**0)))\/n))**4*(n**(-6)\/n)\/n**0 assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 34*f - 31*f + 3*w, 3*f + 9 = -w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145 - -1?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/1500 and -73\/26.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((130\/45)\/13)\/((-1)\/(-1)*3).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.8184 rounded to 1 decimal place?\nAnswer: 792.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-403))\/(24\/(2304\/(-16)))?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 6:53 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1171 = 3*k - 1276. Let f(w) = -k*w - w + 38*w. Let h(p) = -9*p**2. What is f(h(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - k**2 - 2*k + 3. Let f(g) = -2*g - 2. Let j be f(-2). Let h be x(j). Solve 1 = 2*d - h*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*j + 104931 + 225081, 2*j + 2*r + 220004 = 0. Let s be j + (2 - (0 - -3)). What is s rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-36))\/(31\/30 + -1). Solve -2*j + 7*j + h = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2112 + -1.7888. What is the smallest value in v, 11, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202 - -203. What is the second biggest value in -76, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 4*n**2 - n - 2. Is h(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 89 + 74 = -463 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -165, -327, -491, -657?\n\"Answer: -q**2 - 159*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210494 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let q(n) = 2*n - 29. Let b be q(15). Let t(y) = 3*y + 4. What is b*t(d) + 5*w(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**2 - 3. Let r(i) = -15*i**2. Give r(n(w)).\nAnswer: -1215*w**4 - 810*w**2 - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 13*p + 2 = 0. Let n be ((-36)\/(p - 0))\/(-5). Find z, given that 10*z**2 + n - 12*z = 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -160?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**5\/5 - 7*m**4\/6 - 14*m**3\/3 - 3*m**2 - 5*m + 1. Let y(o) be the first derivative of g(o). Factor y(x).\nAnswer: 2*(x - 3)*(x + 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21862032 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(110) + -1*-2*sqrt(110)))\/(4*sqrt(90)*2 + sqrt(90)).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103856?\nAnswer: 2, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6798 = 238*m + 380*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -3.5. Let b = t - -4. Let a = 0.30283 - 0.13283. What is the smallest value in b, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.839, -1, 2\/9, 58, -0.3?\nAnswer: 3.839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 + 12*f - 22. Let r be k(10). Suppose 5*z - r = 107. Let s = z + -67. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-4) - 49\/(-7) - 1951\/(-2). Calculate the greatest common factor of v and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434525205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735742 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849 is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 721?\nAnswer: -71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103221212 (base 4) in base 9?\nAnswer: 3538506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/14*-20)\/((-96)\/(-336)). What is the hundreds digit of m*187*((-170)\/(-50) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/120 + x**5\/15 + x**4\/8 - x**3\/3 + 507*x**2. What is b(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 0*w**3 + 44926*w + 0*w**3 - 957*w**4 - 44878*w wrt w?\nAnswer: -11484*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*((0*c - 4*c + 3*c)*(0 + 3 - 2) - 54156 + 54156 + 151*c - 2 + c + 2 + 3 - 3 - 3*c).\nAnswer: -296*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 3*d + 0*d + (-21 + 36 - 5)*(-4 + 4 - 2*d)*(-2 + 4 + 0).\nAnswer: -41*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (0 + 9 - (17 - 4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -290175 divided by -1095?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44778 and 14194626?\nAnswer: 14194626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (96\/(-10))\/((-14)\/385). Suppose -4*x = -4*p - l, 2*x = -2*x + 2*p + 272. Let m = 77 - x. Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w - 10. Let x(d) = -d**3 + 5*d**2 + 2*d - 2. Suppose 57*k - 141*k - 235*k = -6699. Calculate the remainder when k is divided by x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64144343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -33*f - 12. Let o = 29 + -17. Suppose -2*k + 2*n - 4*n = -18, -4*k = -4*n - o. Let m be c(k). Round m to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 9*m**2 - 10*m + 6. Let v be o(-10). Which is the nearest to -1? (a) v (b) -0.03 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 5 + 5)*(3 - 3 + g**2) + (0*g**3 + 0*g**3 + 14*g**4)*(0*g + 4*g - 3*g) - 2*g**5 + 3*g**3 - 3*g**3.\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*u**3 - 339*u**3 - 497*u**3.\nAnswer: -547*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39350, 39321, 39226, 39035, 38718, 38245, 37586, 36711?\nAnswer: 35590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1170623 (base 8) to base 4.\nAnswer: 1033012103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44012 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43054\/(-19467) - 14\/189.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(17))**2 + (sqrt(102)\/sqrt(2))\/sqrt(3).\nAnswer: -3*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g + 3*g. Let q = 26 + -27. Put -5, q, g, 0 in descending order.\nAnswer: g, 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -593 and 256\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (4 + -3 - 0). Let g(x) = -2*x - 1. Let f be g(v). Solve 2*t = c + 3, t - c = f*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89678*p**3*r**2 - 108*p**2*r**2 + p*r**2 + 5*p*r - 14*p - 3*r**2 + 5*r - 87 wrt p?\nAnswer: -538068*p*r**2 - 216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569419455.\nAnswer: 3, 5, 7, 127, 38239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -41*p - 73. What is g(0)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -0.21, -2\/15, -4 in ascending order.\nAnswer: -4, -0.21, -2\/15, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -811*q**8\/336 - q**7\/210 - 74*q**5\/15 - 1083*q**2 + 2*q. Find the third derivative of r(a) wrt a.\nAnswer: -48660*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*s - 0*s + 42, 5*p = 3*s - 89 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -9, -27, -53, -87, -129?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u. Let w(m) = m + 3. Let d(q) = q + 5. Let s(i) = 3*d(i) - 5*w(i). Determine f(s(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*k - 28, -4*b + 41*k = -6*b + 3*b + 44*k + 33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, t: 4}. What is prob of picking 1 p and 2 t?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/(-5) + (-39088)\/280 + 140?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1) + 0 - -1. Suppose -45 = x*t - 9*t. Let i = 786 - 782. Solve 0 = -t*u + i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c678a + 4?\nAnswer: -c6786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 - 12*h. Let y(u) = 2*u**2 + 4*u. Let k(i) = -3*v(i) - 8*y(i). Let r(n) = 4*n**2 + 3*n. Give 5*k(c) - 6*r(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owrlow. What is prob of picking 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28809\/5 + 5762. Which is the nearest to -1\/4? (a) h (b) 6\/11 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + -68 + -40 - (-3 - -9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 65191?\nAnswer: -38\/65191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = 2*s, 11 = 2*l + 5*s. Suppose -3*c + 0*z + l*z + 69 = 0, 0 = -z - 3. Solve 0 = a + 6*b - 4*b + 12, 0 = 4*a + b + c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**4\/12 + f**3\/3 - 4*f**2. Let i be x(3). Suppose 22 = h + 2*u, h - 5*u + 0 = i. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 39572 = 37*g - 59*g. Does 39 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -52*h**3 + 16*h - 16. Let o = 479 + -495. Let w(g) = -17*g**3 + 5*g - 5. What is o*w(l) + 5*n(l)?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*w. Suppose w = 9*l - 4*l + 25. Let j = -3 + 2. Put j, l, 4 in descending order.\nAnswer: 4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 3\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*z**3 - 9*b*z**2 - 12*b*z - 20*b - 19439*z**3 + z**2 - 11621 wrt z.\nAnswer: -18*b*z - 18*b - 116634*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -481500 to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 8. Let i be m(-7). Let h = 0.162 - -0.848. Let s = h + -0.61. What is the second smallest value in s, -7, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -710 or -708?\nAnswer: -708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 8. Let d be v(-6). Suppose 5*t - 270 = -5*y, 4*t + 171 = 3*y - 5. What is the greatest common factor of d and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 27*z - 7. Let d(m) = -7*m - 1. Calculate -4*d(a) + p(a).\nAnswer: 5*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9129 - -9173. Solve 0 = -5*i - 5*h - 15, -2*i + u*h - 48*h - 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b + 42 - 42)*(29 + 4 - 8) in the form p*b + k and give p.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3315.67564 to one dp.\nAnswer: -3315.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 2*h + 5. Let x be t(5). Calculate the smallest common multiple of (125\/(-2))\/(-5)*(-24)\/x and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17945 (base 10) to base 3\nAnswer: 220121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101736630 + -101736757.000063. Let m = d + 127. What is m rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, -46\/3, -61, 4, 4\/151?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234539 or -234548?\nAnswer: -234539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 5)*81\/6*1. Let u be (3*-1 + 0)\/(w\/18). What is the biggest value in -1\/2, u, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 59\/40 - 11\/10. Let r(q) be the second derivative of -1\/48*q**4 + 1\/12*q**3 + 2*q + c*q**2 + 0. Find o such that r(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1125.9 + 1115.9. What is the third biggest value in t, 0.19, -0.08?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4 - 1. Suppose y + x = -0. Suppose l + 1 = -1. Is l at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/4 + 4*w**3\/3 - 5*w**2\/2 + 2*w + 2. Let f be o(-5). Suppose 2*q = 14 + f. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25835891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 2*n**2 - 1\/6*n**3 - 1\/12*n**4 - 2*n + 0. Does 3 divide h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let m = 8 + -2. Let d(w) = -15*w - 1. Let v(g) = m*n(g) + d(g). Let j = 2 - 3. Give v(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000715612584 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -40. Suppose -u = -5*x + 104, -3*u + 135 = 5*x + s. Solve -5*a - x + 0 = -4*o, 2*o = -5*a + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.4, 6, -0.2, 0.7, -125\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -230*j + 1682 = -1538 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.38028+145348628\nAnswer: 145348627.61972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (9 + -19 - -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/(560\/30)*(-164)\/(-6) and (-1450)\/620 - (-2 - 0 - -1).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 23. Let i(u) = u - 11. Let d(q) = 5*i(q) + 2*s(q). Let z be d(-13). Let n = -4 + 2. Put z, n, -3 in ascending order.\nAnswer: -3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from urrrrrrrrrrr.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9*v - 21 = 6*v, -3*v + 11 = -d. Put d, -1, 5, 3, 227 in ascending order.\nAnswer: d, -1, 3, 5, 227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/15 - 6\/15. Let a be (2*(w - -2))\/(-1). What is the third derivative of 2*s**2 - 4*s**a + 8*s**3 - 9*s**3 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8882 and 424?\nAnswer: 1882984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-52) + (-20)\/(-130). Which is the closest to 1? (a) 5 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose 34 = j + s*n, -2*n - 88 = -4*j - 6*n. Suppose -5*x = -109 + 59. What is the remainder when j is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7395865?\nAnswer: 5, 1479173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*k**4 + 414*k**2 - 205*k**2 - k**3 - 6 - 212*k**2 - k + 3 to the form l*k**3 + c*k + q*k**4 + y*k**2 + u and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4 - -3. Let x = -4299665 + 4299664.6000046. Let o = b - x. What is o rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131971517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578008 + 257079 = 89*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - 1) + (-17 - -18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and 61\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 581623\/8 or 72704?\nAnswer: 72704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 2, -5, -17, 6 in descending order.\nAnswer: 6, 5, 2, 1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50623044 is divided by 11353?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1035 = -3*o - d + 4814, 0 = -2*o - 2*d + 3906. What are the prime factors of o?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 142 = -3*o. Suppose 0 = -4*j - 3*y + 25, 4*j + 0*j - 4*y - 32 = 0. Suppose j*l = 3*l + o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = 4315. Let g(q) = -1978*q + 150400. What is the remainder when a is divided by g(76)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 8246*i + 701754. Calculate r(86).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4175 (base 9) to base 5\nAnswer: -44230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -0.017?\nAnswer: -17.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 619.4686 decades?\nAnswer: 6194.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1166460\/58323 - (2\/6 + (-230)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -15, 188, 471, 834, 1277, 1800?\nAnswer: 2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r - 53*r + 285 + 21*r - 183.\nAnswer: -3*r + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 2890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 + 24498 = 597*k + 3959 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/2)\/(-2))\/(3\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (2 + -1 + 0). Suppose r - 11 = 2*a + 5*d, -3*a + d - 12 = 0. Is -3 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/10*(6 - 9))\/((-2)\/7028)?\nAnswer: 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(2)*-1)**2 - sqrt(2)) + sqrt(14)\/sqrt(567).\nAnswer: -8*sqrt(2)\/9 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1992276 and -0.1?\nAnswer: -199227.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (((sqrt(72) + 0)**2 + 0 - sqrt(72)) + sqrt(72))) + sqrt(72) + sqrt(72)*-2 + 1.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 8*r + 77. Solve r = -4*z - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 7*b**2 + 9*b - 2. Let z be i(-7). Let q = 168 + z. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3577*d + 15 - 3067*d - 16 to y*d + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (19\/76)\/(1\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2 + 10*t - 3. Let r(x) = -15*x**2 + 20*x - 5. Let k(l) = -7*d(l) + 3*r(l). Factor k(q).\nAnswer: 2*(q - 1)*(2*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/6 + 5*i**2 - 3*i. Suppose 2*a + 4*c - 21 = -3, -5*a = -2*c - 21. Determine s(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ab (base 14) to base 11.\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {o: 1, a: 1, w: 3, p: 1, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132964553\/3902 + -34076. Let s = 100472\/17559 + o. What is the common denominator of 5\/18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/2 + 3*t**3 - 3*t**2\/2 + t - 11. Let w be o(4). Suppose -z + 1 = -4. Calculate the highest common factor of z and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - y + 1374 = 0, -4*k = y + 2*y - 1827. Do k and 459 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9944329.\nAnswer: 9944329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -864344 (base 11) to base 15\nAnswer: -1c4729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179*z + 46 wrt z.\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*h**2 - 5822*h + 2906*h + 2916*h + 1 as w + k*h + m*h**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -14*(-16)\/224 + (0 - -16943)?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let d(g) = g**2 - 4*g. Let s be d(5). Suppose -4*o - 3*c + 50 = 0, 5*o + 2*c - 51 = 8. Calculate the smallest common multiple of o and q(s).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36881051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28142 and -848886.\nAnswer: -820744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -426.52 * -0.4\nAnswer: 170.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 12:26 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5 - r**2 - 14020*r + 7014*r + 7001*r. Let c(m) = m**2 + 2*m - 3. Determine 5*c(z) + 3*y(z).\nAnswer: 2*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.95 - 10.25. Let w = y - -11. Which is the nearest to 0? (a) 0.3 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17069 + -35149. What is b rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**6)\/j**(-16))\/(j**(2\/7)*j**(7\/4)))**(-2\/39) assuming j is positive.\nAnswer: j**(-587\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -182, -173, -160, -143, -122, -97?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10) - 2147\/1130.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from ssrrrrssrssrrsss?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*i - 73*i + 61*i - 219*i to the form z*i + u and give z.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 113, 113, 115, 119, 125, 133?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13.82682ml?\nAnswer: 0.01382682","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 496*i + 509*i + 493*i - 1518*i + 1. Determine b(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 20*n + 73. Does 15 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244400853*x**3 - 237884847*x wrt x?\nAnswer: 1466405118*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -22*k**3 - 79724*k**2 + 94246*k - 14500 = 0.\nAnswer: -3625, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/145640 and -5\/1504.\nAnswer: 27380320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384983 and 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*l**4 + 13*l - 118*l**4 + l**2 - 3*l**2 + 3*l**2 - 14*l to the form d*l**3 + s*l**4 + o*l + h + q*l**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/15870 and -74\/4761.\nAnswer: 47610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2058) + sqrt(42)))\/(4*sqrt(6)*3).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15.53281 and -0.2?\nAnswer: 15.33281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/7 - 132*y**3\/7 + 711*y**2\/7 - 1026*y\/7.\nAnswer: 3*y*(y - 38)*(y - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -73491 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3634 (base 9) to base 15.\nAnswer: c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 0, -0.23 in ascending order.\nAnswer: -26, -0.23, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -5 (c) 12 (d) 8\/35 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2 - 0. Let x be 1\/3 + (-14)\/(-3). Sort x, w, -8.\nAnswer: -8, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28538 is divided by 2539.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + 390. Suppose -2*l + 224 = l - 2*g, l - i = 4*g. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.5 - 19. What is the nearest to -5 in -0.4, 1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120444 (base 10) to base 5\nAnswer: 241323234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 56*x**3 + x**2 - x + 1. Let w be v(1). Suppose -5*d + 8 = -3*r - w, -2*d = -2*r - 30. Which is bigger: d or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -4 - 1\/4. Let u(v) = 110*v - 2. Let l be u(-5). Let t be l\/132 - 2\/(-11). What is the nearest to x in 2, t, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.5 + 0.5. Let w = m + 7. Let l = 7.018 + w. Round l to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1247)\/(-29) + -8 - 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -148864 divided by 4\nAnswer: -37216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.3 - -9.48. Let x = 0.08 + y. Let l = x - -0.06. What is l rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(6*t**4 + 6*t**4 - 5*t**4) + 2*t**4 - 2*t**2 + 2*t**2.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 16 = -2*y - 2, -4*i - 2*y - 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283 - 265. What is the remainder when 46 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 14 = -14 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1\/6, -2\/7 in ascending order.\nAnswer: -2\/7, -1\/6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 m, and 1 y when four letters picked without replacement from zoymyrmyooyypyo.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29916*d + 9 - 29987*d - 9.\nAnswer: -71*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11844 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167563 is divided by 1764.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17691 + 0.07691. What is the biggest value in m, -3.1, -36?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 13) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.08 (b) -3 (c) 77.9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 26*l**2 - 6*l + 6. What are the prime factors of q(-4)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -6 (b) -4 (c) -120\/1639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 572754\/5 != 114551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 2 - -3) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3150*v. Let x(t) = -41829*t**2 + 83661*t**2 - 41831*t**2. Determine x(s(p)).\nAnswer: 9922500*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 4. Suppose 4 + 4 = 2*q. Let t(b) = -5*b + 7. Let u(d) = q*t(d) + 7*f(d). Let j(m) = -m. Determine u(j(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10791953 to the nearest integer?\nAnswer: 3285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 bigger than -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Suppose o*v - 28 = t + 2, 5*v - 30 = -t. Does 15 divide ((-225)\/v - 0)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53782.17 + -772170.\nAnswer: -825952.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78276500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2396, 4781, 7166?\n\"Answer: 2385*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 10*q - 5. Put 2, q, -4, 5 in descending order.\nAnswer: 5, 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiii. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 10. Suppose -2*w - 2*w = -2*n + 272, 0 = 4*n + b*w - 580. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6044 by 2.\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3913, 31342, 105797, 250792, 489841, 846458?\n\"Answer: 3919*d**3 - d**2 - d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 536*f + 3506. What is d(-7)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (sqrt(125) + 1 + sqrt(125) - sqrt(125)))*-5 + -1*sqrt(125)*-1.\nAnswer: -45*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63413639.5 - 0.06?\nAnswer: 63413639.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-23 + 3\/1). Let w = k + -9. What is the least common multiple of w and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5054 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 42. Suppose -s + 3*s - 2*t = -2, -4*s - 4*t + r = 0. Suppose -220 - 293 = -s*f. What is the highest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 1764*f**2 - 4*f - 3539*f**2 + 1769*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 916386937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**2 + 9492912*h - 5632211139984 = 0.\nAnswer: 1186614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7546770 divided by 5.\nAnswer: -1509354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7630 + 8310. Calculate the lowest common multiple of 1275 and t.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 4*g - 0*r + 3*r, 2*g - r - 170 = 0. Suppose n - 101 = -2*o + 2*n, n + 199 = 4*o. Let q = g - o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161.2 + -161. What is the fourth biggest value in 2, 1\/6, h, 4\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.8529 + 22.8. What is d rounded to three dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) - 45\/(-12). Calculate the smallest common multiple of (-1)\/((-2)\/h) - -12 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j + 3. Let i be m(-1). What is the tens digit of (229\/7 - 3) + i\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -7.1. Let a = 6.999988 - p. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5800932, -11601681, -17402430, -23203179, -29003928, -34804677?\n\"Answer: -5800749*a - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269.671 + 270. Let k = 4.671 + m. What is the nearest to -2 in k, 9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1981336 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -4, 5\/3, 38?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -2\/5, -5, -2, 4, -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 2. Let q be u(4). Suppose g + g + 5*r = -q, 5*g - 5*r - 35 = 0. Find the second derivative of 3*v**3 - 2*v**3 + v + 3*v**g + v wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-150) - (-2)\/(-20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75051830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 87.3*-1.6\nAnswer: -139.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microsecond in nanoseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 4}. Give prob of picking 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -85, -67, -31, 29, 119, 245, 413?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 531?\nAnswer: -7\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700865\/527400 + (-1)\/(-20)*-2?\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 - 17*g**2 + 2*g - 3. Let t be a(-6). Suppose 27 = t*b - 12*b. Solve b*o + 0*o + 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 1)*(-5 + 3 + 1)*(-d + 3*d - 4*d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x**2 + 4*x - 5. Let h be f(2). Solve 0 = h*p + 3*b + 15, -5*p + 4*b + 3 = -8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91310541 and 43575.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 35*z = 56. Let k(g) = -45*g - z*g + 17*g - 20*g. Let w(u) = 2*u. Give w(k(l)).\nAnswer: -124*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0443*-0.4\nAnswer: 0.01772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9667140.29 - 19859.7.\nAnswer: 9647280.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - b**2 - b. Let d(w) = -8*w**3 + 3*w**2 + 3*w. Let f(z) = z**2 - 10*z - 122. Let v be f(-7). What is v*p(g) - d(g)?\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121676 or -121677?\nAnswer: -121676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*(a*a\/a**(-3)*a*a*a*a*a)\/a)\/a))**33\/((a\/(a*a*a**(-1))*a)\/a*(a*a*(a\/(a*a**(-1\/4)*a))\/a*a*a*a)\/a*a))**(3\/20) assuming a is positive.\nAnswer: a**(-3207\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15247 and 0.225.\nAnswer: -15246.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + -4 + -7 + 8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Let i be 35\/(-42) - (-2 + (-38)\/(-12)). Is i at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 7*h**2 - 7*h - 8. Let k be p(8). Let r be k\/2*(-9)\/(-27). Suppose r = 2*s - 47 + 9. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -3*sqrt(208)*-1 + -2 + sqrt(208) + -3 + sqrt(208))*-6)**2.\nAnswer: -4320*sqrt(13) + 187524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4670?\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j**2 + j - 9. Let r be b(5). Let u = -3230 - -3231. Sort u, r, 82 in increasing order.\nAnswer: r, u, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-5 - (-6)\/3) - -2. What is the closest to c in 0, -1, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -797 + 805. Let v be 7\/(7\/s) + -3. Which is the smallest value? (a) v (b) 2 (c) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1085 - 347. What is the highest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(208) - (sqrt(208) + -2*sqrt(208))) + (-5*(-2*sqrt(208) - sqrt(208)) - sqrt(208)) + 0)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/14 - 14\/(-4). Sort -5, g, 1.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2, 2\/5, -0.629, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130012414113 + 1?\nAnswer: 130012414114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 2*d + 206. What is l(15)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1989)\/(-5967))\/((-3)\/(-459))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 10:59 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/770*(-10)\/14. Sort -1, h, 0.3, 3, 1\/6 in decreasing order.\nAnswer: 3, 0.3, 1\/6, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, -49, -3 in descending order.\nAnswer: -3, -4, -27, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**2 - 13*f - 13. Let w(v) = -v**2 - 2*v - 2. Let h(l) = -39*w(l) + 6*y(l). Let r(t) = -4*t**2. Determine r(h(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert cd589 (base 14) to base 16.\nAnswer: 79865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -10*(-15)\/6. Let h = -10 - w. Suppose -3*u - 109 = -4*a - h, -5*a + 2*u + 122 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 11*t**2 + 2*t - 11. Let m be q(8). Suppose 7*l + 43 = m. Let n be l\/21 - (-30)\/105. What is the closest to n in -1, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42293333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54959502*d**4 + 2*d**2 - 13*d + 932664.\nAnswer: -1319028048*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q - 22 = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/48 - 93*v**3\/8 - 139*v**2\/4 + 55*v - 29. What is o in m(o) = 0?\nAnswer: -278, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2 + 2. What is the least common multiple of 18 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18\/11 (b) -18\/7 (c) 38 (d) -2 (e) -0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/9 and 4*((-194)\/(-136) - 1).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*z**3 - 67*d**2*z**2 + d*z**2 + 2*d + 2*z**3 - 1098 wrt d.\nAnswer: 4*z**3 - 134*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 - 0.066.\nAnswer: -125.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:25 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clts when four letters picked without replacement from {l: 2, n: 1, t: 1, s: 4, c: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*(-4 - 2))\/((-1)\/9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 9*c**2 - 21*c - 98. Determine q(-6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**0\/g*g*g*g))\/g)**(-1\/12)*g**(9\/7)\/g**15)**(10\/11) assuming g is positive.\nAnswer: g**(-2810\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2982*n + 19518. Calculate w(-7).\nAnswer: -1356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 - (3 + -1 + -1). Let d(s) = 3*s**2 - 3*s + 23. Let b be d(f). Let z = b - 179. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 91. Suppose 0 = y + 7*y + j. Let a(f) = 48*f**2 + 3*f - 5. Is a(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 10. Determine b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 10*g + 10. Let w(h) = 41*h + 3*h**2 - 5 - 30*h - 7. Let c(v) = 4*n(v) + 3*w(v). What is c(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15505106909\/327173964 - -18\/2097269. Let m = -602\/13 + y. What is the common denominator of (10\/12)\/((-2)\/(-23)) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 508.297cm?\nAnswer: 5082970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*j - 54684 = 19681, -223055 = -3*n + j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*p - 78*p + 85*p)*(-2*p - 4*p + 0*p + 3 - 2*p - 3 + (p + 2*p - 2*p)*(1 - 2 + 0) + 4 + 2*p - 4) + (4*p - 6*p + 4*p)*(-3*p - 3*p + 3*p).\nAnswer: 204*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15272010?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1 + 42 = -3*b, -4*b - j - 33 = 0. Let d = -4 - b. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + -94?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 - 22*g\/3 + 112\/15.\nAnswer: -2*(g - 1)*(g + 56)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/(-13808))\/(51\/(-748)*-11). Do -1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*v + 1538, 0*v = -3*o + 2*v + 936. Calculate the highest common divisor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1580 + 1345 - 993 = -42*l for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.2 - -70. Which is the second smallest value? (a) 1\/2 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 42661\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705814252 to the power of 1\/3, to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 448 + -1793\/4. What is the closest to d in 0.2, -1\/10, 1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/12)\/(22\/(23232\/(-72))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -15 + 18 + (0 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (4 + 10588)\/8 + -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7175403 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 2bc?\nAnswer: 2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 41. Suppose 29 = 2*t + 75. Let d be m(t). What is the closest to -3 in -1\/8, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 18 + (137 - 152).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/84*1\/(-1))\/(14\/21)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i + 4*o + 68, 5*o - 27 = -2*i. Suppose -i*s + 4 = -14*s. Sort -2, 4, s.\nAnswer: -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5276\/3 - 6*g**2 + 23746\/3*g.\nAnswer: -2*(g - 1319)*(9*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 154*b + 157*b - 3, z - b = 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2947 - 2912 = 7*w. Solve -z + w*n - 7 = 0, 33*n = -2*z + 34*n - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -5 (c) 4\/7 (d) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3077 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*((-2 - 1 + 6)*(5 - 6 + 5) - 68 + 153 + 151)*(2*l + 0 + 0).\nAnswer: -496*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 0*n**2 - 2*n**2)*(-3 + 1 + 1)*(-30513*n**3 + 39 + n - 3*n + 30501*n**3).\nAnswer: 12*n**5 + 2*n**3 - 39*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 8) to base 13\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 - 3*n**2 - 76*n - 17. Let h(l) = -3*l**3 + l**2 + 25*l + 6. What is 11*h(i) + 4*o(i)?\nAnswer: -i**3 - i**2 - 29*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(1927 - 1927 + 100*k**2 - 2*k**2 + k**2 + 0*k**2 + (k + 5*k - 5*k)*(3*k + 0*k - 4*k)).\nAnswer: 392*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 150949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 + 8 = -2*b, 4*b + 55 = 5*y. Suppose -3*t = -6*t + y. Suppose t = 2*r - 9. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*i = -75*i + 2445. Let c = 673 - i. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 8*z**2 - 7*z - 13. Let o be c(9). Let t be (-6 - -1) + -3 + 5. Let a = -2 - t. Solve 16 = -k - 4*g, g - a = 5*k - o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11134, -22233, -33304, -44347, -55362?\nAnswer: -66349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(405) - (sqrt(405) + (sqrt(405) + 1*sqrt(405))*-5)) + -1)**2 - (-4 + sqrt(405)*-1 + -2)**2) + 1)*4.\nAnswer: -1152*sqrt(5) + 160244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -2 - (-37)\/((-1557182)\/(-210144)). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 172\/22 - (-2 - (-80)\/44). Suppose 4*z = 2*f + x, 0 = -z - 0*f - 3*f + 16. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 + 9*t - 1. Let h be l(-2). Is 8\/13 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 3554144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35571 and 3.8.\nAnswer: 35574.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five sixths of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -61*v**10\/37800 - 29*v**6\/360 - 99*v**5\/20 + 272*v**2. Let s(l) be the third derivative of d(l). Differentiate s(o) wrt o.\nAnswer: -976*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, l: 1, n: 3, h: 5}. Give prob of sequence nnle.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1320)\/77)\/20*32\/(-12))\/(10\/(-7))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1744340 and 15340?\nAnswer: 102916060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(sqrt(720) - (sqrt(720) + 4)) - sqrt(720)) + (-3 + -1 + sqrt(720))**2.\nAnswer: -108*sqrt(5) + 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/54)*k\/((k\/(k*k\/((k**(5\/3)*k)\/k)))\/k)*k*k)\/((k*k\/(k**2*k))\/((k\/k**(1\/18))\/k)))**(-8) assuming k is positive.\nAnswer: k**(-920\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1946, 4, 0.03, -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13397, 26533, 39669, 52805, 65941?\n\"Answer: 13136*q + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/39 - (-4 - -6))\/(18\/(-540))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 71, 181, 381, 701, 1171, 1821, 2681?\nAnswer: 3781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4 - 2*p**3 - 4*p**2 + 188 with respect to p.\nAnswer: 12*p**3 - 6*p**2 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120.0206974 - 120.02. Round x to five dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-321 + 824 - 212)*(-3*z - 9*z - z).\nAnswer: -3783*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 4, -10, 74, 4\/7, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(56)\/sqrt(63) + sqrt(8) - sqrt(8))**2 - 4*sqrt(16)\/sqrt(2)) - (sqrt(4000)\/sqrt(5) + (4 + sqrt(392) - sqrt(8))).\nAnswer: -40*sqrt(2) - 10\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - l - 18, 12 = 5*v - 3*l - 14. Suppose -c + v = c. Suppose -c*z + 6*z + 22 = h, -22 = -h - z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71801174?\nAnswer: 2, 163, 257, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Suppose 4*r = p*r + 5. Solve -3*o - 2*o + 10 = r*g, -g = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/18 and 13\/28044?\nAnswer: 28044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*(w\/(w\/(w**(-2\/17)*w)*w))\/w)\/(w\/(w*w**(-7)*w*w)*w**(1\/12)) assuming w is positive.\nAnswer: w**(-245\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*((-1520)\/(-280) + 29 - 23)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -402, -5, -8, 7, -132 in descending order.\nAnswer: 7, -5, -8, -132, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -296049 - 0.151871\nAnswer: -296049.151871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-486 - -452) + (-1736)\/(-14)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/192)\/(0 + 3\/((-54)\/(-22)))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26522*c**2 - 943*c + 943*c - 26030*c**2.\nAnswer: 492*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342692659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4791373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + 2*r**3 - r**2)*(-2*r + 2*r - r) - 185*r**2 + 171*r**2 - 1055*r**4 + 17*r**2 to the form b*r + v + u*r**3 + h*r**2 + w*r**4 and give w.\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l - 4*s + 22, -4*l - 2*s + 20 = 0. Let u = l - -5. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Suppose -l - 2 = k. Let z(h) = 2*h**2 + 3*h - 4. What is z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 301*w**2 - 6*w + w**3 + 8*w - 305*w**2 in the form c*w + y*w**2 + r*w**3 + x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213317898?\nAnswer: 2, 3, 53, 670811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + (3 - 4 + 2)*(2 - 2 + 2))*(-2*j**4 - 4*j**2 + 4*j**2).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 8*h - 6818. Suppose 0 = -4*x - 4, h = 3*f - 5*x + 7*x. What are the prime factors of f?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112450596, 112450598, 112450594, 112450578, 112450544?\nAnswer: 112450486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -5*j + 48. Let f be j + 4 - ((-15)\/(-12) - 1). Suppose 5*z = 4*z + 1. Which is the third smallest value? (a) z (b) -1\/6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-10))\/((-18176)\/22720).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-1*sqrt(14)\/sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19654, 19687, 19742, 19819, 19918, 20039, 20182?\n\"Answer: 11*n**2 + 19643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*n - 91*n - 1393 = -7546. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 45700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1677, 6594, 14797, 26292, 41085, 59182, 80589?\nAnswer: 105312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1478*z**2 - 149*z**2 - 1327*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1257*j**2 - 946*j. Let d(h) = -h. Determine d(z(x)).\nAnswer: -1257*x**2 + 946*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*l + 810 = 0, l - 4*l = -2*x + 314. Let k = -88 + x. Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-9)*r))\/r)\/(r\/r**(-6\/11))*(r*r\/r**(-7\/3))\/(r**(-2\/9)\/r*r*r) assuming r is positive.\nAnswer: r**(991\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 8:27 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 + 26437556?\nAnswer: 26437622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4, -2\/3, 1\/10, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -1. Let j be 3\/3 - v - 2. Let u(l) = -4*l - 3. Let x(n) = -n + 2. Let w(b) = -2*b + 3. Let y(i) = -3*w(i) + 5*x(i). Determine j*u(c) + 2*y(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtjsxstxsxwjcxx. What is prob of picking 1 w, 1 c, and 2 x?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 349965 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 462 or 54534?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 0)*-3*1.\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3257*r - 7147. What is d(2)?\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296426 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 370. Let f(k) = 617. Let h(z) = 5*b(z) - 3*f(z). Let v(l) = 2*l - 4. Calculate 3*h(x) - v(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10011011100001000101100?\nAnswer: -10011011100001000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**2*o*o)**(3\/37)*o*(o**6\/o)\/o*o*o*o**(-1\/4) assuming o is positive.\nAnswer: o**(1071\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - z)*(-2*z**4 + z**4 - z**4) + (-8 + 8 - 3*z)*(-2*z**4 - 7*z**4 + 2*z**4).\nAnswer: 23*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 5\/2 (b) -2.2 (c) 2\/85 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/148 - 12\/37. What is the nearest to -0.06 in r, 2\/11, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 12. Let x = -3 + 7. Calculate the smallest common multiple of x and (-13)\/(-3)*6\/y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 3.85426619.\nAnswer: 4.15426619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6494\/7 - -928. Which is the closest to 1\/3? (a) t (b) -1.39 (c) 2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1174, -1175, -1176?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311865?\nAnswer: 5, 59, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 533, 1127, 1731, 2345, 2969?\n\"Answer: 5*z**2 + 579*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*k + 2*g**4 + 448*g**3*k**2 + 1629*g**2*k**2 + g*k**2 wrt g?\nAnswer: -24*g*k + 48*g + 2688*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 3, h: 2, g: 4, r: 1, m: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*o + 3*g, -5*o - g = -6 + 11 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.309 + 0.109. Which is the closest to g? (a) -3\/8 (b) -4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001927 to the power of 1\/2, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3006*o + 26451 + 229059 = 0 for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 2*n, -5*y - 5*n = -50. Suppose 5*q = -3*u + 4*u - 11, 34 = 5*u - 4*q. What is the highest common divisor of u and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/5 - 2018556*t\/5 - 4037124\/5 = 0. Calculate t.\nAnswer: -2, 672854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 390\/(-4680) + (-35746586)\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 608 and 4.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 10\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.2 + -43. What is the closest to -2 in z, -5, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 210 = -22*n. What is the tens digit of n\/(-1)*(-8)\/((-16)\/(-13))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let m(n) be the third derivative of -2*n**6\/45 - 25*n**4\/24 + 13*n**2. Let c(b) be the second derivative of m(b). Determine i(c(l)).\nAnswer: -1024*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 0, 5, 9.\nAnswer: -5, -3, -1, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s**3 - 16*s**2 - 7*s + 7. Let r(w) = 6*w**3 + 8*w**2 + 4*w - 4. Determine -4*j(u) - 7*r(u).\nAnswer: 2*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-2) + 3\/(-6). Suppose m*y + 0*y = 66. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58123511*l**5 - 35732089*l**2.\nAnswer: 3487410660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/46 + (-11439)\/(-621) + -18. Let i(b) be the first derivative of o*b**3 + 3\/2*b**2 + 5*b + 2. Let m(c) = 2*c**2 + 4*c + 7. Give -7*i(q) + 5*m(q).\nAnswer: 3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17177880 divided by -572596\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 217, 220, 225, 232, 241, 252, 265?\n\"Answer: m**2 + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11598 + 51?\nAnswer: 11639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1198893 (base 13) to base 10\nAnswer: -5474199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 1\/20*q**5 + 0*q**3 + 0 + 0*q**2 + q - 1\/12*q**4. Find the third derivative of n(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -28. Calculate the smallest common multiple of z and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2 + 0) - (-45 + 38).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 - 8688*q**2 + 6333327*q - 62467470 = 0. What is q?\nAnswer: 10, 1443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3 - 12*c**2 - 8*c + 4. Let z(x) = -6*x**3 - 13*x**2 - 9*x + 5. Let q(i) = -7*y(i) + 6*z(i). Calculate the remainder when q(5) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 64774631?\nAnswer: 45342241.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2168500433.99999918 + -2168500367. Let h = -67 + x. Round h to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 10:22 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 3. Let a be ((-362)\/3)\/((-3)\/9). Let f = a - 366. Determine o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -41265241.\nAnswer: -206326205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 10:56 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:40 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 86551149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520 + 1003 - 483 - 934*p.\nAnswer: -934*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31418*-3.\nAnswer: 94254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 8:20 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.37077591 to three dps.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 712832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -290*k + 32187. Calculate r(111).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 13*s + 27. Let t be v(-8). Let b = t + 15. Suppose 8*h - 5 = 3*h, -b*r = 5*h - 129. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 27 + (204\/17 - 16). Solve -6*f - y = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/33 + 4322\/36201. Is v equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8183680.\nAnswer: 2, 5, 19, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(-6*(sqrt(84)\/sqrt(108) + -4) + 3)*-2)**2.\nAnswer: -15552*sqrt(7) + 109003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose t*g + 225 = 12*g. Let x = g - 19. Calculate the remainder when 16 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13923*u - 13928*u + 41783*u - 13914*u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let x = r + 3. Let s = x + -1.07. Round s to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721031 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184991170 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 860 and 400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177230 - 103113. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from hqcqhgub.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106070, 106071, 106072, 106073, 106074, 106075?\nAnswer: 106076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6257 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 4*x + 4*x**4 - 2 - x + 0*x - x**2 to c*x + m*x**2 + f + q*x**4 + w*x**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/1)\/(-1))\/((-148)\/(-1036)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Suppose 18 = -0*x + h*x. Suppose p = x*p - 5. Solve t - p = -0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 27, 0.13?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - 69\/(-12). Let r be 0 + 108\/16 - 12\/16. Suppose -3*v + u*v - r = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5918 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*g - g + 36, 3*y + 5*g - 108 = 0. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59195, 5, 3, -93 in descending order.\nAnswer: 59195, 5, 3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - -20) + -11 - (1 - -76)) + (-13 - -2)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*m - 10 - 2*m.\nAnswer: -5*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c - 1019 + 1017 - 4*c. Let t(y) be the third derivative of y**4\/12 - 2*y**3\/3 - 14*y**2. Determine 3*t(s) - 5*x(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y + y. Let o = y - -4. Solve 0 = 4*r - o - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 8, 31, 74, 143?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 46.9 and 4.1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 + 64*o**3 + 3*o**2 - 49*o wrt o.\nAnswer: -120*o**3 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 32 + 112. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1273*s - 7642. Determine v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21748 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + o, 4*o - 12 = 0. Let y(n) = -n + 1. Let m(l) = 3*l - 1. Let b(k) = v*m(k) + 4*y(k). Let x be b(0). Put x, -5, 0 in descending order.\nAnswer: x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 178, 272, 368, 466, 566, 668?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)\/(120\/8). Let k = 17\/30 - d. Which is the third biggest value? (a) -1\/9 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2792064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(320)\/sqrt(4))**2 + (sqrt(405)*-1)**2 + 3 + -5 + sqrt(5) + (sqrt(35)\/sqrt(7))**2 + (sqrt(5) + sqrt(360)\/sqrt(8))**2.\nAnswer: 2*sqrt(5) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117) + 3)**2 + sqrt(117) + sqrt(117) + 4 + (2 + sqrt(117))**2 + sqrt(117) - ((sqrt(117) + 1 + 5 + 2 + 1*sqrt(117))**2 + -5))*1.\nAnswer: -269 - 51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*h + h - 1670, 5*z = -4*h + 1309. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + -9) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 + -7 + 6 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 + 255. Find the second derivative of -6*z - 80*z**n - 39 - 3 + 224*z**3 + 43 wrt z.\nAnswer: 864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 7*j + 2*j)*(3*j**3 + 3*j**3 - 4*j**3) + (0*j + 2*j**2 + 0*j)*(9*j**2 + 15*j**2 + 17*j**2) + j**4 - 2*j + 2*j.\nAnswer: 79*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285*a**5 + 10*a + 15 wrt a.\nAnswer: -5700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 4) to base 16\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*t - 460, 55*r - 51*r = 3*t - 284. What is the highest common factor of 72 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*p - 60*p - p + (-p + 4*p - 2*p)*(-4 + 6 + 10).\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12 + 24 - 9 + 2587*k - 1.\nAnswer: 2587*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411771323.\nAnswer: 23, 41, 353, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.18, 0.87, 420, 0.1, -4 in decreasing order.\nAnswer: 420, 0.87, 0.18, 0.1, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30604153 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/20 and 77\/119090?\nAnswer: 238180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*m = 158*m + 147*m + 940 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 4*w. Suppose 25 = w*i - 0*i. Suppose -3*b + 5*n = 2*n + 27, -20 = -i*n. Is -3 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 - 2*h**2)*(40 + 10 + 79 + 19).\nAnswer: -296*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625551398.\nAnswer: 2, 312775699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 4, j: 5, b: 1, t: 3}. What is prob of sequence jxjt?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 4*v + l, -3*v - 6 = -3*l. Let m(n) = n**3 - 2*n**2 - n + 5. Let t be m(v). Solve 3*s + p - 17 = 0, -t*s + 45 = 5*p - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 + 3*p**2 - 5. Let f(x) = 5*x**2 - 9*x**3 - 187 + 178 + 2*x + x**3. Let d(v) = -2*f(v) + 5*r(v). Calculate d(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 11:40 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*z - 64 - 79, -2*z = -2. Suppose i + 89 = b. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.388 - -5.44549. Let j = -0.058 + z. Round j to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - 4a?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -11. Let i(z) = -9 + z + y + 2*z. Let l be i(3). What is the highest common divisor of l and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n + 2. Let v(f) = 9*f + 5. What is -5*o(m) + 2*v(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:47 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 304 = -0*s. Suppose -s = -2*q - 26. Solve 3 = -3*f - q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 21*j**2 - 7*j - 26. Let q be i(10). What is the biggest value in q, -4\/199, 0.2, 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*g + g - 25, -3*g = -5*b - 25. Let k(d) = d**2 + 12*d + 5. Let a be k(-12). Suppose a*o + 18 = -7. Sort g, -3, o in ascending order.\nAnswer: o, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1761*g + 1081*g + 1157*g to the form j*g + z and give j.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 12. Suppose 2*g = -3*c + 12, g - 5 = -c - 0*g. Suppose 0 = -2*x + 10. Solve -y + c = -x*k - 3, -3*y + o = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -700341 - -66?\nAnswer: -700253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 + -0.3?\nAnswer: -308.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 488 + 369 = t, -5*t + 5*w + 4225 = 0. Let d be 3\/7 + (-209)\/t. What is the closest to 0 in 2, d, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.78771 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*m - 21801 + 23521 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 4. Let h be (-3 + w\/(-6))*-2. Suppose 5*f + 1 = h*a + 36, -25 = -4*f + 3*a. Solve 5*z - f = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 1\/7, 0.4, -11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052 (base 9) in base 14?\nAnswer: -3d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1058, -1054, -1048, -1040, -1030?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31023905 and 4015.\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*-1*-3 - (1 + sqrt(1216)*-1)) + -5.\nAnswer: -6 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 3 = -j - 5*d, 0 = 5*j + 4*d - 71. Let g be (4\/(-6))\/((-2)\/9). Solve -2 = u - 3*u, -g*v + j = -4*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900)*5)\/((sqrt(432) + sqrt(12) + sqrt(12))*-2))**2.\nAnswer: 1875\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Suppose 4*g + 0*g = -w*d + 2090, 4*g + 1286 = 3*d. Suppose s = -u + 452, 0*u = u - 5*s - d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*n**2 - 27*n + 4410.\nAnswer: -38*n - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 1. Let u(i) = 16*i + 66. Calculate -6*r(h) + u(h).\nAnswer: -2*h + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, k: 2}. What is prob of sequence kkjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 9. Suppose 2*w - 2*l + 26 = 6*w, -5*l = 4*w - 29. Determine s(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -13*h**5 - 16*h**4 - 3*h**3 - 5*h - 5. Let r(u) = 7*u**5 + 8*u**4 + u**3 + 3*u + 3. Let v(g) = 3*o(g) + 5*r(g). Factor v(s).\nAnswer: -4*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f**3*v**2 + 4*f**3*v - 41*f**3 + 3*f**2*v + 127*f*v**2 - 2*f*v wrt v?\nAnswer: 14*f**3 + 254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2680 divided by 20.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u = -101*u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -49*p**2 - 21*p + 85. Let w(t) = -147*t**2 - 61*t + 252. Let j(z) = 17*o(z) - 6*w(z). Does 35 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261038 is divided by 43499?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16141668 (base 9) to base 8\nAnswer: 36572511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09075 from 103721.8.\nAnswer: 103721.89075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(19) + 1 - sqrt(19))**2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9274888.\nAnswer: 2, 7, 19, 23, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(1\/4)\/t)*t*t**34\/t*t*(t**(-6))**(43\/3))**(-11\/6) assuming t is positive.\nAnswer: t**(737\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = w - 3 - 4, -w - 2*p + 13 = 0. Suppose 4*n = -1 + w. Find the first derivative of -5*z**2 + 5*z**2 - 2*z**n - 2 wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*u**2 - 7)*(-1 + 123*u + 1 - 360*u).\nAnswer: -711*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k**5*m*r - 375*k**4*m*r + 2*k*m*r - 605*k*m - 3*k*r - k - m*r wrt k?\nAnswer: 160*k**3*m*r - 4500*k**2*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -472375 smaller than -472097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 190a3a?\nAnswer: -190a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zunznunzzonbboibzozn. Give prob of picking 2 n, 1 u, and 1 z.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/2)\/(q*q**4*q*q))\/((q\/(q**(-2)*q))\/q*q)**(2\/13) assuming q is positive.\nAnswer: q**(-281\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 13. Give b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 30 - 6 = 0. Let m(c) = -c**3 - 3*c**2 + 9*c + 62. Let x be m(0). Sort 1, -2, z, x in descending order.\nAnswer: x, 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 15*h - 1, 2*u + h - 41 = 0. Let l(n) = n**3 - 20*n**2 - 18*n - 48. Determine l(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + -0.27. Which is the smallest value? (a) -4 (b) 8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1065 - -1.8935. Which is the third biggest value? (a) 3 (b) -15 (c) -5 (d) k (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 16. What is x(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 25 = -11*y - 11*g, -10*y + 12*y = 5*g - 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 24 + 373*d + 12*d + 14 to the form i*d + o and give i.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-945)*9*3\/18\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 2392.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -12.96. Let y = -0.26 - v. Suppose 0 - 6 = -3*c. Put c, 0, y in descending order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10791278953 and -13.\nAnswer: 10791278940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhphhphhhhrrrh. Give prob of sequence rph.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + 0*y)*((-4 + 4 - 2*y)*(-2 + 0 + 3) + 5*y - 3*y - 3*y + 27*y + 17*y - 18*y + (-4 + 4 + 2)*(2*y - y - 3*y)).\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*1\/(-4)*163 - 5. What is the smallest common multiple of 24*108\/c*(-7)\/6 and 98?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3532120 (base 6) to base 13\nAnswer: 65517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1671 (base 8) to base 2\nAnswer: -1110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-9) - (-5704)\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*n - 4*j, 5*n - 12 = 8*j + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46401.77 meters to micrometers.\nAnswer: 46401770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3697?\nAnswer: 6\/3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.0000622 - -5. What is w rounded to six decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 6. Put 5, -2, b in decreasing order.\nAnswer: 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - h - 10. Let a(d) = -3*d**2 - d - 11. What is -3*a(w) + 4*g(w)?\nAnswer: w**2 - w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 78 + 0*u - 20\/3*u**3 + 2\/3*u**6 - 9*u**4 - 12\/5*u**5 + 0*u**2. Determine l so that h(l) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 2*c**2 + 3*c + 4. What is j(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a**2 - 58*a + 144. Let h(z) = 2*z**2 - 2*z. Let m(r) = -3*h(r) + j(r). Solve m(t) = 0 for t.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-125 - (-2 + 3)). Suppose u = 5*t - 175, 7*t + 3*u - 121 = 146. What is the greatest common divisor of y and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34\/407 + -8753\/12210. Let g = s - -2\/15. Is g less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4239 (base 11) to base 3\nAnswer: -21200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.2 plus 0.5?\nAnswer: 387.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21979 + -21979. Which is the nearest to n? (a) -9 (b) -1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15 = 3*v. Let o be (-1)\/(-5) + (-1)\/3. What is the third biggest value in v, 3, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 - -1011?\nAnswer: 10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1776 and 1110.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 5*a + 7*a. Let f(x) be the third derivative of -7*x**4\/24 - x**2 - 51*x. Determine f(o(b)).\nAnswer: -70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 176, 675, 1494, 2627, 4068, 5811?\n\"Answer: -x**3 + 166*x**2 + 8*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -570 + 26540?\nAnswer: 25860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 128*m**3 - 1661*m**2 - 21*m - 241. Give z(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 608145270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10 + 860\/(-2375)*235\/94\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*b + 9*b. Suppose 0 = -4*f + x - 43, -f - 15 = -0*f + b*x. Let k = -1408\/15 + 94. Sort -0.5, 2, f, k in descending order.\nAnswer: 2, k, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 11 = -n, -8 - 2 = -2*n. Let m(y) = 3*y - y**2 + y + 2*y**2 - 8. What is the remainder when m(-6) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-11)*l*l)*l**(-2)\/l*l*l\/((l**2\/l)\/l)*l**(-10) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) -11 (c) -2\/7 (d) 338.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -19. What are the prime factors of 130\/(-3)*9\/v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -695 less than 716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 455\/(-70) - (1 - -7)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - (1 + -5 + -6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522 and 56772?\nAnswer: 1646388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09325922 rounded to 4 decimal places?\nAnswer: 0.0933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -j - 0. Suppose 4*i = i - 3*z + 39, 2*i + 5*z = j. What is the remainder when 29 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 58*x**3 + 14*x**2 + 9*x + 31. Let a(h) = 23*h**3 + 5*h**2 + 3*h + 10. Calculate -8*a(c) + 3*t(c).\nAnswer: -10*c**3 + 2*c**2 + 3*c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 1748*b + 1752*b = 42, -98 - 28 = 8*s + 5*b for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from vfvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275\/100 + (-5 - -2) + 14560\/(-1664).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 20. Let y = 743.98 - 744. Let x be (-2)\/(-6) + 2\/21. Sort f, x, y in decreasing order.\nAnswer: f, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149842439 to the power of 1\/3, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-14) + 74\/14 + -5. Suppose -3*u - 2*u + 151 = 4*w, -o*w = u - 28. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-4 - -3*sqrt(576))\/((3*-2*sqrt(20))\/(-6*sqrt(160) + sqrt(10))).\nAnswer: 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(1 + 1) + 19. Let y(z) = z**3 - z**2 + 2. Let p be y(0). Suppose 4*a = 2*a + 3*g + p, -g = -5*a + b. Solve a*w = -w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + 1.96. Let j = 30.9 + -33. Let i = j + g. Which is the nearest to i? (a) 5\/2 (b) 1\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from szjljrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 74. Let f = s + -8. Suppose 3*l - 3*r + 23 = 4*l, 3*l + 2*r = 41. Calculate the remainder when f is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5767081ng to tonnes.\nAnswer: 0.0000000000000005767081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*i - 1190 = 1006 + 3744 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/10)\/((-8)\/40). Suppose -2*o = -3*o + y. 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: Round -2044192000 to the nearest one million.\nAnswer: -2044000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*l**3 + 7*l**2 - 237*l wrt l?\nAnswer: -204*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:46 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513 + -514.405. Round f to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 8*a**2 + 15*a + 64. Calculate u(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 34*r**2 - 26*r + 26. Let c be o(12). Solve -10*p + 12 = c*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 + -268. Solve -6 = 3*s + 4*c, 0*s - 3*c = -2*s + i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (44 - 17) + -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:27 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 58*n - 59*n + 7, 2*n = 14. Which is the nearest to 14? (a) u (b) 72 (c) -2\/13 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.148 - -0.348. Which is the biggest value? (a) v (b) -2\/9 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173811 != 174084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1616)\/4040)\/((-1)\/(-45)*3\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 - -266. Suppose d = p + 7. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-11 + 5))\/((-31)\/465).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -94, -211, -328, -445, -562, -679?\n\"Answer: -117*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -13, 342, -5 in ascending order.\nAnswer: -17, -13, -5, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8948, 35770, 80468, 143042, 223492, 321818, 438020?\n\"Answer: 8938*a**2 + 8*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137347893 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {y: 1, n: 1, b: 2, z: 2, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.137 + -7.137. What is the fifth biggest value in -1\/2, 1, 5, r, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -280, -640, -1144, -1792, -2584, -3520?\n\"Answer: -72*m**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o - 12*o + 12*o as b*o + q and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846575 (base 13) in base 5?\nAnswer: 11231033304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -154*i + 765. Let q be c(5). Let r(d) = 14*d + 64. Calculate r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u**2. Let z(l) = -6*l**3 + 5*l**2 - 2*l - 8. Calculate -5*i(x) - z(x).\nAnswer: x**3 + 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73, 68, 51, 16, -43, -132, -257?\n\"Answer: -d**3 + 2*d + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1222 + 74?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 25860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 + 1166412*v\/5 + 78163071\/5.\nAnswer: -3*(v - 388871)*(v + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*u - 2*i + 46 = -139*u, 2*u + 33 = -5*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 3*b**2 + 5*b - 6. Let z be (3\/(-2))\/(-7 + (-159)\/(-24)). Suppose 3*y = 2*y + u + 9, 4*y = -4*u - z. Determine q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39\/2 + -503\/26. What is the second biggest value in m, -1, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33117 - 33007. What is the closest to 2 in 2\/13, l, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -427370 + 4?\nAnswer: -427367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 7*g**2 - 4*g - 17. Let j be u(6). Let a be -7*1\/j + 26\/(-65). Solve -a + 0 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + n - 5. Let w(b) = 4*b**2 - 5*b + 22. Give -18*l(o) - 4*w(o).\nAnswer: 2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e086b - 4?\nAnswer: 1e0867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o + 524*o**3 + 151*o**2 - 8*o - 225*o**3 wrt o.\nAnswer: 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2333 = -1195*h - 6*h + 6074 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -60 * -12\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p + 21*p + 23*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 1. Let j be g(-4). Let q be -6*-28*(-3)\/(-9). Suppose 4*h - x - 62 = 0, h = -3*h + 4*x + q. Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f - 5*f**2 - f**3 + 2*f + 3*f. Give b(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 3*v**2\/2 - 4*v - 5. Let k be p(3). Suppose -4*n + k*d + 273 = -0*n, d - 3 = 0. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 938466 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s**2 + 11*s - 1. Let m(f) = -8*f**2 + 11*f - 2. What is 2*g(y) - 3*m(y)?\nAnswer: 4*y**2 - 11*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 4. Let n(v) = -3*v - 19 - 12*v - 8. What is -4*n(k) + 27*p(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156114203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -3\/2*y**2 - 3 + 1\/16*y**4 - 1\/8*y**3 - 1\/80*y**5 + 0*y. Let s(r) be the second derivative of b(r). Factor s(k).\nAnswer: -3*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 8*j**2 + j - 1. Let k be i(8). Factor -18*z**3 - 32*z**2 - k*z + 6*z**3 + 3*z - 12*z.\nAnswer: -4*z*(z + 2)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 10*m - h + 6, -2*h - 4 = 2*m. Let g be m\/7 + (-72)\/(-42). Let k be g\/(-2)*(-5 - -4). What is the closest to 1\/2 in 3, 1\/6, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14623 to the nearest one hundred.\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 + 3*h - 4. Let x be (2 - 3) + (7 - 3). Let w be v(x). Solve -2*c - 11 = g, 0 = w*c + 5*g - 2*g + 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 - 1250 = 13*p + 61*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 275. Let m = c + -223. Which is bigger: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358307 - 30353?\nAnswer: -388660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6 + (-845)\/(-2). Let n = j - 231. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4 - 76*h**3 - 219*h**2 = 0?\nAnswer: -73, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 6. Suppose -4*j + 3 = -3*g, x*j + 3*g - 9 - 9 = 0. Suppose -j*n = 2*n - 20. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 10) + -27 + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11383373, 11383378, 11383383, 11383388, 11383393, 11383398?\nAnswer: 11383403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 2}. Give prob of sequence rzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -67. Is m + -1 - 3\/(3\/(-3046)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -245 + 244. Put 2\/11, -36, 1, j in decreasing order.\nAnswer: 1, 2\/11, j, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763 = -59*x + 299 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -62\/3. Let n(r) = -r**3 + 16*r**2 - 13*r - 25. Let b be n(15). What is the third biggest value in -4, d, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002923766463 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 46. Suppose 3*x = 0, 2*y + 3 + z = x. What is the units digit of (-4)\/(-18) - (32768\/72)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4756 = 3*c, q = -3*c - c + 4758. Calculate the greatest common divisor of 38 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + o + 9 = d, 4*d - 22 = -2*o. Let u(h) = h**3 - 13*h**2 + 41*h + 1. Calculate the remainder when u(d) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + 3*x + (-x - 5 + 5)*(-2 + 3 + 0))*(-62*x**2 - 47*x**2 - 8*x**2).\nAnswer: 351*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.3 (b) 49907 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10 and -218?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91.62 + -1.38. Let r = 92.7 + l. Which is the third smallest value? (a) r (b) 7\/6 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*n + 5*n + 2, 4*n = -z + 3. Suppose 6 = 5*m + n. Suppose 0 = 4*d - 12. Are m and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1054278 divided by -74\nAnswer: -14247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(77) + sqrt(77)*-1) - sqrt(77))\/(2*sqrt(1100)).\nAnswer: 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 30. What is o(-16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*j**5 - 1797*j wrt j?\nAnswer: 3340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -113\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 + (-48)\/(0 + 1). Let y be (s\/10 + 5)*(10 + 0). Let z be 55\/(-20) + y + -2. Which is the nearest to 0? (a) 2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1.1. Let z be ((-8)\/5 + -2)*10. Let g be (-9)\/(z\/8) + 12\/(-10). Which is the closest to 1\/2? (a) g (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203292561 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1664 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - 1 - (-4 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/50)\/(4\/(-10)*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -3\/8*j**3 - 1\/16*j**4 + 3*j + 9\/80*j**5 + 3\/8*j**2 + 0. Factor m(q).\nAnswer: 3*(q - 1)*(q + 1)*(3*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118a (base 13) to base 11.\nAnswer: -1955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100405.\nAnswer: 5, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7254625?\nAnswer: 5, 7, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1869 = 36*q - 125*q. Put 0, q, 1, -2 in ascending order.\nAnswer: q, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4262*g + 779 - 779 - 955*g + 1680*g to the form p + t*g and give t.\nAnswer: 4987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 3, 4*l + 16 = 4*m. Suppose -4*i + 1 = -5*b - 2, 3*b - 3*i = -3. Suppose -m*w + b = -j, -w + 9 = -4*j - 6. Which is smaller: 5\/6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + w - 203 = 2*w, 5*j + 4*w - 238 = 0. Suppose -j = 73*h - 63*h. Which is the closest to h? (a) 5 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/4340 and -137\/30380?\nAnswer: 30380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 110 = -18*g + 23 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9666)\/85383)\/((-3)\/159).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1355779980 to the nearest 1000000.\nAnswer: -1356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-1)\/(-2)*0. Let x be 0*(6\/(-4) - -1). Solve a = -u - x*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*u**3*v**5 + 14*u**3*v - 11*u*v**3 - 3*u*v + 9*u wrt v.\nAnswer: 1360*u**3*v**3 - 66*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 8*q**2 + 3*q - 14. Suppose -5*x + 5*s = 0, x = 5*s - 12 + 40. Determine a(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 140, 220, 426, 812?\nAnswer: 1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxyxhuuxxygyk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-6 + -3) - -54 - -16) + -12\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1401 + 430?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -248, -494, -740?\n\"Answer: -246*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404556710.\nAnswer: 2, 5, 40455671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 56\/26 + (-16835)\/(-5915))\/((-39)\/(-286))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 5715*j - 5715*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235248 is divided by 2067?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19)\/(a*a**(-10)))\/(((a*a**(1\/13)*a)\/a)\/a**(-2\/13)) assuming a is positive.\nAnswer: a**(1893\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4552 = 13*l - 11516. Suppose l - 4215 = -3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlla when four letters picked without replacement from {r: 1, t: 7, l: 3, x: 1, a: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 8*l**2 - 22*l + 30. Let a be d(10). Solve 10 = 5*s - i - 3, -a = -4*s + i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6255 - 6258. Let x(d) = d**2 + d - 1. Let b(f) = -14*f**2 - f + 1. Calculate s*x(z) - 3*b(z).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2078, 2119, 2160, 2201, 2242?\n\"Answer: 41*x + 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30806\/10268 - (4 + -9 + 2)*-1 and 151\/12.\nAnswer: 30804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -3 + (3 - 6) - -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, 10, 164, 412, 748, 1166?\n\"Answer: -x**3 + 56*x**2 - 107*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29589 by -5.\nAnswer: -29589\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116852179*c**3*d**2 - 11*c**2*d**2 - 164*c**2*d - 859 wrt c?\nAnswer: -701113074*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g + g + 0*g**3)*(-25*g**2 - 21*g**2 + 24*g**2 + (5*g**2 - 4*g**2 + 2*g**2)*(-3 + 5 + 2))*(1 + 3 - 2).\nAnswer: 40*g**5 - 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15.4 in 0.5, -487241, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 491*(-4 + 15 + -9). Round r to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1102 and 1305812.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1854668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/127 (b) -3 (c) 0.1 (d) 1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 27*f**2 - 79*f + 335. Let z be v(-30). What is the biggest value in 52, -4, z?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.06, 3, -5, -1\/3, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:54 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7863447 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 6 = -8*r. Let n be 2 + (1 + 0 - r). Suppose -4*p + 16 = 4*g, -n*g + 5 + 8 = -2*p. Solve 5 = -g*l - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001001111 (base 2) to base 4\nAnswer: -301033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583499888.\nAnswer: 2, 3, 3665509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 18*v - 9. Let p(i) = 2*i + 39. Let t be p(-11). What is j(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/39)\/(3\/(-39)). Suppose 0 = 3*a + h*x + 6, x + 6 = -24*a + 25*a. Solve 2*p - 3 = a*g + 1, 4*g + 2*p = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + -2. Let k = w - -48. Is 1874\/10 + 1*(-2)\/k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 2*a. Let n(r) be the first derivative of r**4\/2 + 5*r**2\/2 + r - 3. Let u(m) = -5*b(m) - 2*n(m). What is the first derivative of u(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107663, 214881, 322099?\nAnswer: 429317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3937358, 3937361, 3937362, 3937361, 3937358, 3937353, 3937346?\n\"Answer: -b**2 + 6*b + 3937353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 2. Let m be u(5). Suppose -677 = -5*l + d, 10*l = 6*l + 3*d + 546. Calculate the greatest common divisor of l and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. What is p(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/17)\/(2\/(16\/(-12)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 72. What is n(19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/42 + 151*q**5\/20 + 2*q**3 + 3*q**2\/2 - 73*q + 4. Find the second derivative of s(y) wrt y.\nAnswer: 20*y**3 + 906*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*(s\/s**1)\/s)\/(s**7*s**(-3\/8)) assuming s is positive.\nAnswer: s**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15438 + 15438 - 1165*h)*(0 - 3 + 2*h - 3) + 0*h**2 + 3*h**2 - h**2 to the form q*h**2 + g*h + a and give q.\nAnswer: -2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558902908 to the power of 1\/2, to the nearest integer?\nAnswer: 23641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*i - 110*i = 24. Let r(d) = 71*d**2 - 10*d - 8. Does 73 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1597 - -1591. Let i(h) = 8*h**3 + 5*h**2 - 6*h + 14. Let w(o) = 7*o**3 + 5*o**2 - 6*o + 13. Let k(f) = 6*i(f) - 7*w(f). Give k(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 301, 721, 1309?\nAnswer: 2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/4 - 1833*h\/2 - 3359889\/4 = 0.\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3*z**2 + 11956*o**3*z + 128*o*z - z**2 - 2*z wrt o.\nAnswer: 6*o*z**2 + 71736*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Find the common denominator of c\/(-5)*695\/6 and 25\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 24*h**2 + 52*h + 5. Let k be j(26). Solve -z = 4*d + 2*z + 20, -d + k*z = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhg when three letters picked without replacement from hghghhghhhhgghhhghh?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + ((sqrt(252) - (sqrt(252)*1 + sqrt(252))) + sqrt(252))**2 - 1*sqrt(448).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/112 and 119\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 52. Let i = q + 12. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x**2 + 3*x + 3. Suppose -4*s - v - 9 + 1 = 0, 3*s - 3*v + 6 = 0. What is the least common multiple of z(s) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n + 1. Suppose 5*i = -4*q + 3, 0 = -2*i + q - 0 - 4. Let h be k(i). What is the tens digit of 26*(-1)\/(h\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 18*y = 8*l - 3*l + 6*y - 108, 5*l - 4*y - 41 = -5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422 + -216. Let c = 206 - z. Solve 3*m = -c*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -43*c**2. Let d(k) = 101*k**2. What is d(p(q))?\nAnswer: 186749*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:52 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41\/4? (a) -0.3 (b) 3 (c) 0.035032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 = 3*g - 0*v, -5*g + 19 = -v. Let s(x) = -g*x**2 + x - 4 + 2*x**2 + 5 - 2*x. Give s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/(11\/5). Let m be (-128)\/2*(1 + 0). Let v = 257\/4 + m. Sort v, 3, g.\nAnswer: g, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 0.1 (c) -2\/7 (d) 0.1818 (e) -90 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.5, 0.14, -3\/4, 0.5, -1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1075 less than or equal to -1205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**2 + 5*f**2 + 0*f**2)*(27 - 27 + 3*f + (0 + 0 + 2)*(0*f + 5*f - 3*f))*(-5 + 7 + 17) to p*f**2 + t + z*f + j*f**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-7854 + 7853)*(-1)\/(93\/12)\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(-3*y - y + y)*(16 - 3 + 6)*(0 - 1 + 0) as v*y + q and give v.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 8. Determine b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + c - 3. Let i be q(7). Let u = 7 - 5. Suppose -3*w + u*o = -63, -3*o = -i*w + 2*o + 77. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649400881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(704) - (sqrt(704) + 1))**2 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 807 + -807.03. Which is the third biggest value? (a) -3\/4 (b) -8 (c) -2\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**8\/(g**(-1))**(-15\/4)*(g\/g**(2\/3))**(-14)\/(g**(-6)*g**(-2\/15)*g) assuming g is positive.\nAnswer: g**(-2339\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.514 centuries to years.\nAnswer: 18151.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17429711 to four dps.\nAnswer: -0.1743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 + 5 + 0 + -7 + (-15 - (-18 - -11)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7623.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75 - 1819*v + 584*v**2 - 150 + 163*v**2 + 75 wrt v?\nAnswer: 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 12. Is a(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 8. Let s be x\/(-2)*(-154)\/(-4)*-8. Suppose -4*g = -10*g + s. Is 46 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiziozi. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14152)\/(-522)*177\/236.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-1 + d**2 - 8 - 8).\nAnswer: -d**2 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*3)**2*-4 + 0 + -3*((sqrt(1300) + 1*sqrt(1300) + 1 + sqrt(1300))**2 - sqrt(1300)) + -3.\nAnswer: -39318 - 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + m - m + (-m + 1 - 1)*(-7 - 4 + 4) + (0 + 3 + 6)*(1 - 1 + m)*(3 - 3 - 2) to the form z + w*m and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.82401 take away 0.1?\nAnswer: -4.92401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2189 divide 11820600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1919 * 0.3\nAnswer: 575.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*u - 6*f, -373 + 394 = -3*u - 4*f for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s*w*z - 10213458*s + 29035802*w*z + 7*z wrt w.\nAnswer: 2*s*z + 29035802*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9603 and 1386.\nAnswer: 134442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j**4 - 3868466*j - 57881450 with respect to j.\nAnswer: 28*j**3 - 3868466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 50326237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73155.94 kilometers in meters?\nAnswer: 73155940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175987 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1057308 and 1938398.\nAnswer: 11630388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*p + 58*c**3 - c**2*p + c*p wrt c?\nAnswer: -12*p + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -11*q - 62 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -440657 divided by 391\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-1 - (sqrt(20) - (-2*sqrt(2000) + sqrt(2000) - sqrt(2000))))\/(sqrt(810)*1 - sqrt(120)\/sqrt(432)).\nAnswer: -144*sqrt(2)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34094 - -20395800.\nAnswer: 20429894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12 = 6. Let z be 1*(0 - (-2 - -3)). What is the units digit of a*z\/2 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 2, r: 1, t: 3, o: 3}. What is prob of picking 2 o and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 1. Let t be b(2). Sort 2, 0, t.\nAnswer: 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/49 + -72\/833. Which is the smallest value? (a) 9 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.033 - 44.967. Let d = w - -43. Which is the nearest to d? (a) 0.1 (b) -2\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/7)\/((-38)\/(-133)) + (-9 - -8). Let y(x) be the second derivative of x**4\/2 - 7*x**2\/2 - x. What are the prime factors of y(g)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(192260\/(-15) + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9953 divided by -140003\nAnswer: -9953\/140003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 285*s**2 + 20 - 283*s**2 - 12)*(-s**2 + 2*s - 2*s).\nAnswer: -2*s**4 + 7*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*a - 35, 15*j + 5*a = 16*j + 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4886102.\nAnswer: 2, 13, 187927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2211 + -2225. What is the nearest to 0 in 1\/2, k, -1, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**5*z - 5*p**5 + 32*p**3*z + 3*p**2*z + 17*p + 3*z wrt p.\nAnswer: -120*p**2*z - 300*p**2 + 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11144 is divided by 5402?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14590213177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39276.007543 and -0.1?\nAnswer: 39275.907543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13475213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*f**4 - f**3 + 455*f**2 + 618*f - 46.\nAnswer: 552*f**2 - 6*f + 910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121116 is divided by 2670.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 7:50 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -35851 - 72629. Let s be t\/(-3) - 11\/33. What is the common denominator of s\/1224 - 2\/9 and -119\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 + 687*r + 16847. Determine a(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - u**2 + u + 1. Let h be n(-2). Suppose -32 = -4*d + 4*x, 0 = d + x - 2 - 8. Let c = 6 - 3. Solve 5*j + d = -4*f, c*j = -4*f + 4 - h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134178*q**6 - q**3 - 107344*q**2.\nAnswer: 16101360*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z. Suppose -3*t + i = -32, i - 15 = 4*i. Let b(h) = 17 - t - h - 8. Determine g(b(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 6 = -9*r. Factor r*d**3 - 8\/3*d - d**2 + 4\/3.\nAnswer: (d + 1)*(3*d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 58\/96651?\nAnswer: 58\/96651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/20 greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 289099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 8502211\/5 and 1700442 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*h**3 + 344*h**3 + 68*h**3.\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001024568422 rounded to 6 decimal places?\nAnswer: 0.001025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**3\/6 - 5*p**2 - 9*p. Let a be g(5). What is the second biggest value in a, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/9, -61\/6441, 1, -5 in ascending order.\nAnswer: -5, -61\/6441, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 3*r**2 - 2*r - 5. Let b(u) = 5*u**3 + 8*u**2 - 5*u - 14. Let a(i) = 3*b(i) - 8*d(i). Let m be (0\/(-2))\/(-34 + 64\/2). Determine a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282501 is divided by 413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27533929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/120)\/(((-6)\/6)\/3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - 104. What is the fourth biggest value in 1, 2\/5, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 55*o - 2*x - 2 = 0, -x + 10 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 5660.55.\nAnswer: 5663.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1617\/9 - (-225)\/675. Which is the biggest value? (a) -3 (b) -1\/4 (c) k (d) 1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03035 + -6788?\nAnswer: -6787.96965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 26*j + 5. What is v(27)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + 39. Determine o(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*1\/(-2)*52\/(-3). Let l = 105 + q. Which is the nearest to l? (a) -1 (b) 0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105628*d**2*m**3 + 2*d**2*m**2 - 221*d**2*m + 15 wrt m?\nAnswer: 633768*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-14)\/(-21))\/((-10)\/105)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -634 - -2566379.5\nAnswer: 2565745.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/11)*r)**(6\/23)\/(r**(-3))**13 assuming r is positive.\nAnswer: r**(9969\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*t - u, -4*t = 2*u + u - 28. Put t, 0.031, -3 in decreasing order.\nAnswer: t, 0.031, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**2\/2 + s + 4781. Let l(c) = -15*c - 33. Give -2*l(r) - 66*t(r).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.552013cm to micrometers.\nAnswer: 75520.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2937 and 473?\nAnswer: 126291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 809842 * 7.\nAnswer: 5668894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 15 - 9)*(0*g**4 - 2*g**5 + 0*g**4).\nAnswer: 46*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in -0.2, -3\/2, -3\/5, -0.5, -0.211?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 3*y - 2. Let k be r(2). Suppose 12 = -4*g, 5*g - 8*g - 5 = 2*z. Solve 2*b = -k, d - 2*d - z*b - 3 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 3 + 5*b - b**3 + 2*b**4 - 6*b + 0*b**3 to the form r*b + i*b**4 + h*b**2 + p*b**3 + w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1 + 10 + (-7 - 30 - 13))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 10\/3 (c) -3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 2*n**2 + 3. Let o(u) = 3*u**3 + 6*u**2 - 9. What is 7*i(z) + 2*o(z)?\nAnswer: -z**3 - 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 16 = 2*y, -3*y + 5*b = -0*y + 46. Let p = y - -8. Let w(d) = -2*d - 1. Give w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 minus -164363?\nAnswer: 164361.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 - 10*t + 9. Let w be r(1). Suppose -4*q + 13 = -11. Sort -3, w, q.\nAnswer: -3, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25091 (base 13) to base 10.\nAnswer: 68225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -332538460 or -332538461?\nAnswer: -332538460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + 0*k)*(2 + 2 + 0)*(1 + 0 + 2).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13683798, -27367594, -41051390, -54735186, -68418982, -82102778?\nAnswer: -95786574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**5 + 4*f**5 - 2*f**5 - 3*f**5 - 3*f**5 - 6*f**5 + (f**4 + 0*f + 0*f)*(2*f - 5*f + f).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 27. Let a = 7772 + -7770. Let c(y) = 3*y - 27. Give a*g(d) + 3*c(d).\nAnswer: d - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 38691 to the nearest one hundred.\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v. Let i(s) be the second derivative of 2*s**3\/3 - 18*s. Calculate p(i(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (70 - 5) + -1 + -173 + 187.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12531077, -25062218, -37593357, -50124494, -62655629, -75186762, -87717893?\n\"Answer: b**2 - 12531144*b + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*k + 118 = 4*r - 3*r, 5*r - 5727 = 204*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12262, -24129, -35166, -44959, -53094?\n\"Answer: 69*p**3 + p**2 - 12353*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-2 + -2*12). Is 2\/(-9) + 843\/a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/30 - (-13)\/12*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 + h**2 - 16*h - 1. Let b(o) = -o**3 + o**2. Determine -2*b(k) + l(k).\nAnswer: -k**3 - k**2 - 16*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 798 - 79. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1096414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 222908*u - 7801786. Give k(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -26, -66, -140, -260, -438?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o + 1. Let g be c(2). Do 2 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -48 + 42 - 12\/(-2). Let h(f) = -f**3 - 5*f**2 + 4*f. What is h(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 278171*b**2 - 32*b + 332113927 wrt b?\nAnswer: 556342*b - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 6. Let i(y) = -9*y + 2. Let w(j) = 4*j - 2. Let v(m) = -i(m) - w(m). Determine v(z(k)).\nAnswer: 10*k + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82455737.\nAnswer: 7, 13, 906107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.5 - -11. Let v = -9.05 - -9. Let p = v + -0.95. What is the nearest to p in 0.2, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2783087 and 1209?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6403923?\nAnswer: 3, 37, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 2. Let a(w) = -w**2. Calculate a(c(d)).\nAnswer: -4*d**2 + 8*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 74\/747, 217\/5, -6 in decreasing order.\nAnswer: 217\/5, 74\/747, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*r - 1, 0 = -3*w - 4*r + 17. Let v = 5 - w. Suppose -g + 3*b = 0, 3*g + v*g - 26 = 2*b. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.5571.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -2*((-9204)\/24 - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2189 + 2184. Let h(z) = 6*z + 39. Give h(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5460*t - 390. Let s(d) = -182*d + 13. Let i(o) = -3*g(o) - 91*s(o). Is i(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 40 = 3*s. Suppose -53 - 27 = -s*z. What is the smallest common multiple of 10 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -15*y**2 + 4*y - 4. Let f(q) = 31*q**2 - 7*q + 7. Suppose -52*g - 281 = -176*g + 215. Determine g*f(t) + 7*d(t).\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 11*v - 3*y + 32339, -4*v - 5*y + 32341 = 0. Suppose -v - 20149 = -9*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by 3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -17*q. Let h = -101 + 101. Let i(n) = 2*n**2 - 2*n**2 + h*n**2 + n**2. Give i(g(o)).\nAnswer: 289*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 216171727451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 - 460*l + 460*l)*(-8 + 3 - l + 1).\nAnswer: 3*l**5 + 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -286 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/27? (a) 1 (b) -0.21 (c) 9\/14 (d) -9 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250514 - 10?\nAnswer: -250524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + w. Let d(n) = 9*n**2 - 1. Determine 6*b(z) + d(z).\nAnswer: 3*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1305*c + 1314*c + 14*c**2 + 1314*c - 3933*c.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + 0*k - 2*k + (-3 - 1 - 1)*(-2*k + 4*k + 8*k).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 17*n**3 + 89*n**2 + 2*n**3 - 3*n.\nAnswer: -15*n**3 + 89*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 + 3. Let s be (2\/5)\/(h\/(-10)). Factor 2*j**5 - 3*j**4 - j**5 - s*j + j + 2*j**2 + 1 + 2*j**3.\nAnswer: (j - 1)**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 790, 1182, 1572, 1960?\nAnswer: 2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 33\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 12*a + 28, -106*a - 5*m + 35 = -99*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569 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: Simplify ((-4*sqrt(605)*-2*-4 + 1)*5)**2 + 5.\nAnswer: -17600*sqrt(5) + 15488030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 + 5*t + 16. Let l be g(7). Suppose 2*k - 7*y = -l*y + 12, k = -y - 1. Let x = 3 + -3.5. What is the closest to k in -3, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose o*m + m - 3*u = 48, 0 = 5*m - 4*u - 49. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 7. Let q be a(5). Suppose 4*s + 3*f = -0*s + 2, -5*s = f - q. Suppose -c - s*c - 420000 = 0. Round c to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6150 + 6151 = -c + 3*r, -2*r = 4*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + h = 4*h, 5*p + 34 = 2*h. Let b = 1 + p. Put b, -4, 2 in decreasing order.\nAnswer: 2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*l + 9740 = 1192*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4 - 32855*w**3 + 53658475*w**2 + 1035371375*w - 6514215000 = 0.\nAnswer: -24, 5, 3295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229898 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10828 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -18*g**3 + 15*g - 4. Let v(x) = 14*x**3 - 14*x + 2. Let w(k) = -4*v(k) - 3*y(k). Let a(s) = s**3 - 6*s - 2. Give -7*a(j) - 4*w(j).\nAnswer: j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32344371 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + 0 - (5 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1627 and -0.1?\nAnswer: 1627.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1. Let q(t) = -616*t + 4. Let f(d) = 6*c(d) - q(d). Let p be f(-14). Let x = p - -120615\/14. What is the common denominator of x and 23\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**4 - 7*b**3 - 7*b - 14. Let h(t) = -5*t**4 + 6*t**3 + 6*t + 13. Let j(n) = 7*h(n) + 6*l(n). Find the first derivative of j(v) wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 389 = 6*u. Suppose 4*h - u = -33. Does 39 divide (-89)\/(-1)*(-3 + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**4 + 1295*p**3 + 66150*p**2 = 0?\nAnswer: -189, -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -821 + 1204. List the prime factors of o.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -5 (c) -3 (d) -11\/9 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exqxp. What is prob of picking 1 q and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y + 3325. Let u be c(0). Calculate the highest common factor of u and 350.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {u: 2, b: 1, t: 1, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2085 - 978 = -11*w - 30*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1665512727?\nAnswer: -2\/1665512727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -3*w + 92421 - 92298, -2*p + 22 - 55 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32\/187 - 6\/17. What is the closest to -2 in v, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63268908 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 26*s**2 - 19*s - 102. Let g be t(-4). Suppose -7*f = 411 - g. Which is the third smallest value? (a) f (b) 92 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001121212112 (base 3) to base 11.\nAnswer: 355343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 10010001011?\nAnswer: -10010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 - (-167583)\/78 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -41 + 51. Suppose -3*j = -3*a - 795, -4*j = -0*j + 4*a - 1028. Suppose -j = -b - u*b. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 4. Let n(g) = g**3 - 11*g**2 - 26*g + 2. Let s = 334 + -321. Let z be n(s). Give h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67.1, -1\/9, -1\/4, 1\/7, -1\/2 in descending order.\nAnswer: 1\/7, -1\/9, -1\/4, -1\/2, -67.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuwu. Give prob of sequence uu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**5 + 10729*j**4\/8 - 154857*j**3\/8 - 193839*j**2\/8 + 324113*j\/8 + 6915\/4 = 0?\nAnswer: -461, -2, -1\/24, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1295037 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(-1*sqrt(117))**2 - (1 + sqrt(52)\/sqrt(4)*-1 + (sqrt(39)*-1)\/sqrt(3))**2) + -2.\nAnswer: 4*sqrt(13) + 413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 39514 (c) -8 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60\/11 in -4, -0.4, -1\/4, -8\/455?\nAnswer: -8\/455","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*p**2 + 223*p**2 - 535*p**2.\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 4*h + 4*h - 8*h - 3*h**2 + 8*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13 + (7 - -3) + -32 + 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1406911, 1406879, 1406825, 1406749, 1406651, 1406531, 1406389?\n\"Answer: -11*h**2 + h + 1406921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*p = p + 286, 0 = 2*h + 4*p + 568. What is the least common multiple of (h\/(-10))\/((-78)\/(-260)) and 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/((-3)\/(-32)). Suppose n - 2*n + d + 5 = 0, 0 = -4*n + 2*d + u. Calculate the greatest common factor of n and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 10*n - 4 + 12 to c + i*n and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161686 is divided by 23005?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -54. Suppose 2*h + 20 = 4*u, 5*h = 6*h + i. Let c(q) = q**3 + 3*q**2 - 5*q - 1. Let t be c(-4). What is the greatest common factor of t and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1380 divided by 345\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*v - 48, 9*d - 13*d - 3*v = -2*d - 45 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880864 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -248066 (base 11) in base 3?\nAnswer: -201212212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007904978 to 6 decimal places.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x**3\/11 - 122*x**2\/11 - 244*x\/11 + 80\/11 = 0. What is x?\nAnswer: -5, -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4214 and 73\/11172.\nAnswer: 480396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*g - 150, 0 = 2*g + 5*w + 13 - 68. Round g to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71, -662, -2281, -5444, -10667, -18466, -29357, -43856?\n\"Answer: -86*q**3 + 2*q**2 + 5*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 3*t**2 + t + 8. Let l(d) = d**2 - 15*d + 58. Let n be l(8). Calculate the remainder when w(n) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9)*(-2)\/4. Let o = -2.9809 - 1.0191. What is the closest to a in -1, 5\/2, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-28)*m**35)\/(m\/m**9*(m\/m**(17\/4))\/m) assuming m is positive.\nAnswer: m**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18253696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*v + c + 17, -3 = 4*v - 3*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5269 - 5308.01. Let p = j - -39. Let l = 0.12 - 5.12. Which is the nearest to p? (a) -1\/3 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-27))\/((-6)\/9). Let o be -9 - (-3 + 250\/(-40)). Which is the closest to 0? (a) -3\/5 (b) r (c) -2\/9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1516455, -1516815, -1517175?\n\"Answer: -360*p - 1516095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -26. Let q(x) = -7*x - 5. What is the tens digit of q(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-70)\/(-3)*-3)\/(9 - 11) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004725 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 138123 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in 358, 1.96, 1\/27, -2?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*t)*(-7 + 4 + 2)*(-11*t + 8*t + 15*t).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 669 + -75?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5057*m - 701*m - 1101*m + 3510*m.\nAnswer: 6765*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13438956 divided by 4.\nAnswer: -3359739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 - 120. Let u(r) = -6*r + 38. Let n be u(g). Suppose n*q - o = -0*o + 66, 3*o + 33 = q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16189456 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 934.1 + -934. What is the nearest to -5 in 3\/4, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -6. Let k = l + 13. Suppose 4*n = j - 21, -4*n - k = -3*j - 6*n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40916 divided by -1\nAnswer: 40916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 10) in base 7?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7464 and 6.\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-24)\/12))\/(8\/(-72)*(-6)\/(-4))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 1, o: 1, w: 2, r: 2, v: 1}. What is prob of picking 1 w, 1 o, and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*n - 37. Let s = -11 + n. Suppose -3*h + 2*z + 21 = 0, 0*z = -5*z - 45. What is the smallest value in h, 2, 5, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -18.35517.\nAnswer: 7.342068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142404, -142449, -142524, -142629, -142764?\nAnswer: -142929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 + 66 = -69*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654049*k - 655655*k - 126874 = 0 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 4*h - 3. Let a(j) = j**2 - 3*j - 2. Let t(g) = 3*a(g) - 2*q(g). Let u = -3 - -7. Let w = 7 - u. What is t(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 570 in decreasing order.\nAnswer: 570, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + -281?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406991659 to the power of 1\/2, to the nearest integer?\nAnswer: 20174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**3 - 478*r**2 + 283*r - 10001. Calculate g(68).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.73 and -4?\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.95 - 3.95. What is the closest to -0.3 in -3, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + -123351\nAnswer: -123351.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k + 1. Let l(f) = 13*f + 67. Let x be l(-5). Let a(p) = 3 + 10 - x - 10 - p. Calculate 5*a(n) - 3*o(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 4*k. What is the smallest value in -5, -2\/9, -3\/2, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/(-8))\/(3\/(-4)). Let u = s + 47\/6. Let o be (-60)\/160 - 3\/(-8). Is u less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 191528612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 78563658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -3, -5, -35, 5, -4 in decreasing order.\nAnswer: 5, -3, -4, -5, -35, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-88)*(-120)\/(-468)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -24*a**2. Let g(q) = 2*q + 3. Let j(b) = 3*b + 4*b + 6 - 5*b - 2. Let d(z) = 4*g(z) - 3*j(z). Give c(d(k)).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617) + sqrt(4617) + sqrt(4617) + 5*(sqrt(4617) - sqrt(4617)*1))\/(sqrt(432) + (sqrt(432) - (-1*sqrt(432) + sqrt(432))*-5)).\nAnswer: 9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 463 = -785. Calculate the remainder when 75 is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 18 = 15*g - 15*g + 9*z - 15*z, -5*z - 29 = 2*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let u = d - 0.5. Let n = -4.35065 + -0.64935. Sort n, 5, u, 0 in ascending order.\nAnswer: n, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6884)\/(-6))\/(2\/3). Suppose 4*i - 594 = b, -i = -2*b + 526 - w. Calculate the common denominator of 2\/(-12) + b\/48 and 131\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3792 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -56644.78 times -0.06\nAnswer: 3398.6868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 262 + 141. Is c != 402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1505*q**2 - 58*q - 19. Let m(g) = g + 2. Let v(d) = j(d) + 7*m(d). Find the second derivative of v(l) wrt l.\nAnswer: -3010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 65, 2\/5, 4\/7, 9, -1\/8, -0.007?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47993*c**4*j**2 - c**4*j - 21885*c**2*j + 14*c*j**2 wrt c.\nAnswer: 1151832*c*j**2 - 24*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8151?\nAnswer: 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548005455*j**6 + 617691*j**2 - 308*j wrt j?\nAnswer: -65760654600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 6 - (8 + -4 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**4 + z**2 - 2*z + 1. Let m(h) = 5*h**4 + 4*h**3 + h**2 + 10*h - 13. Let b = 302 - 304. Let f(j) = b*m(j) - 14*d(j). What is l in f(l) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424886 is divided by 16590.\nAnswer: 10136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:18 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -1\/309, -32 in descending order.\nAnswer: -1\/309, -5\/4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 8)*-2*(-6)\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*w + 2. Let b = w - -11. Suppose -5*g = -5*o + 24 + 1, -3*o = -g - b. Solve -2*z = -4*j - 2, o*z + 0*j = -4*j - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 850596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/200 - 41*t**5\/25 - 161*t**4\/10 - 64*t**3 - 2*t**2 - 15. Suppose z(n) = 0. Calculate n.\nAnswer: -160, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3085.28 + 3129. What is x rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = 1860. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 109*m**2 + 107*m**2 - 219*m**2. Let o(i) = 13*i**2. What is o(c(s))?\nAnswer: 117*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*i = -15, i + 6 - 1 = -2*g. Suppose g*z = -2*z. Let r = 1.15 + -0.85. Sort z, r, 2.\nAnswer: z, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/56*1*-395078 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 1 e when three letters picked without replacement from evrzkvzrezrrzekzz.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -6. Let o = g - -6.4. Let i = -0.3 + o. Which is the nearest to i? (a) 0 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 86. Let i = 12907 - 12889. Determine v(i).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:46 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81884.74 centimeters?\nAnswer: 818847400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -151, -396, -873, -1660, -2835?\nAnswer: -4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -138 + 42*u + 235 + 64*u. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252*s**6 - 263266*s**5 - 286445385*s**2?\nAnswer: 30240*s**3 - 15795960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**4 - 15*z**2 - 38*z. Let i(y) = 16*y**2 + 39*y. Let l(p) = 3*c(p) + 4*i(p). Find the second derivative of l(o) wrt o.\nAnswer: -36*o**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(171) + sqrt(171) + 1)**2*-1*-1.\nAnswer: 36*sqrt(19) + 3080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:19 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/60*-39 - -3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 40*r - 523. Let f be u(51). Calculate the greatest common divisor of 162 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -588 - 1956*n**3 - 191 + 2489*n**3 with respect to n.\nAnswer: 1599*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6192 and 12814?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 336 = 5*t + 20, 0 = -4*t + 2*q + 254. Suppose 20*d - t = 36. Solve 0 = -s + i + 4, -1 = -4*s - d*i + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68344.5 - -6.\nAnswer: -68338.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Suppose -180 = -3*v + 5*q + 41, 4*q = 20. Let p(m) = 42*m + 5 + v*m + 0 - 1 - 69*m. Give p(k(c)).\nAnswer: -110*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-3)\/9*-6. Is u at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from tggggggt.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times 82?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0793 + 35.8807. Let c = -38 + w. Round c to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 4) + -3 + (-3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 3103421?\nAnswer: 21723947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 37 = 5*p + 38, -5*p + 45 = -4*b. Let l be -2 + 5 - 75\/b. Solve -f = 3 - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*s - 20 = 146*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-24 - -2 - (38 + -44))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 986 + -987. Let i = -212\/77 - -18\/7. Which is the smallest value? (a) i (b) -5 (c) t (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/62 + -4505\/186. What is the common denominator of p and 5\/402?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*i = -5 - 0, 3*j + 5*i - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 105984*v - 211976.\nAnswer: 2*(v - 2)*(v + 52994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -198485, -198494, -198503, -198512, -198521?\n\"Answer: -9*a - 198476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {e: 3, u: 3, h: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - r + 2*r**3 + (-5*r**2 + 5*r**2 + r**2)*(r + 3*r + 2*r) - 5*r**3 + 49*r**2 - 49*r**2 to the form w*r**2 + t + i*r + d*r**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9*b = 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3387, 1, 3, 62 in decreasing order.\nAnswer: 62, 3, 1, -3387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 4*g**2 + 105*g**4 - 39*g**3 + 0*g**2 + 47*g**3 - 5 - 10*g**3 to u*g**4 + k*g**2 + a*g + p + i*g**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 192 = -3*i. Let j(u) = -u**3 + 16*u**2 - u + 21. Let c be j(i). Solve -4*m + c*d = 25, -2*d = -5*m - 5*d - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 100*z**2 - 209*z + 64. Calculate the remainder when 1283 is divided by o(52).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13122 - 13056. Let x = 3535 - 6939\/2. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**3 + 2*g**2 + 9*g - 7. Let x(j) = -9*j**3 + 2*j**2 + 11*j - 8. Calculate 6*i(c) - 5*x(c).\nAnswer: -9*c**3 + 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1904 and 31250912.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -283*o. Let a(v) = -5*v + 211. Let u(x) = -4*x + 150. Let z(h) = 5*a(h) - 7*u(h). Give z(b(k)).\nAnswer: -849*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60171316*f**2 + 30179929 with respect to f.\nAnswer: 120342632*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -113 (b) -368 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3655\/9 + (-3)\/27. Suppose 0 = -4*k + g - 34. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -2c25?\nAnswer: 2c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 + 2*k + 1. Let t be j(3). What is the tens digit of 22 + 88 + (t - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b + 71. Let u be y(4). Let l = 27 - u. Solve 2*f = 2*z - l, -z + 4*f + 20 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*g + 717, 7*h - 3*g - 361 = 5*h. Let v = -99 + h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(50) - sqrt(50)) + sqrt(50) + (1*sqrt(450))\/sqrt(9))\/(5*sqrt(70)\/(sqrt(168)\/sqrt(6))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5\/4, -19, 2\/5, -2.\nAnswer: -19, -2, -5\/4, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + z = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53707, 53714, 53721, 53728?\nAnswer: 53735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 2, q: 7}. Give prob of picking 1 y and 2 q.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.3, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30560802.\nAnswer: 2, 3, 5093467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -2\/11 (c) 2.1004 (d) 5\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -69\/4 (b) -3 (c) -2.6 (d) -1 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(3 - 3 + 3*l) + (0*l + l + l)*(-5 + 8 - 8).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*o = -5037, -4035 = -4*y + 7*o - 12*o. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14958?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*v**3 + 6*v**2 - 2165*v wrt v.\nAnswer: -1062*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2043 + 2046. Solve -u + 22*n - 18*n + 8 = 0, r*u - 4*n = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/18 and 1*3\/((-330)\/535).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 19*j - 21. Let h(o) = o. Calculate h(q(z)).\nAnswer: z**2 + 19*z - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (21\/5 + 1)*((-6168)\/48 - -131)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -10. Let n = b + -10. Solve -2\/11*l**4 + n*l**2 + 0*l + 0*l**3 - 2\/11*l**5 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((3\/2)\/(1925\/(-550))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 44 = -4*i, 0 = i - 2. What is the greatest common factor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.13 - 10.239. Which is the second biggest value? (a) 1\/3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011694613 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 276*x**2 + 2052*x + 3024.\nAnswer: 3*(x + 2)*(x + 6)*(x + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(5 + -3 - 1). Suppose r*t = -2*k + 566, 5*t - 715 = -3*k - 2*k. Suppose -5*q + t = -30. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 0*z - 45*z**3 - 34*z**3.\nAnswer: -79*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Let y(v) = 6 + 4 - 2*v - 4 + h*v + v**3. Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**2\/2 + 43. Let b(s) = -1. Let m(j) = -4*j + 24. Let k(p) = 24*b(p) + m(p). Calculate f(k(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 - -18039?\nAnswer: 17dd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 97*w**2 + 16519*w - 1621905. Determine f(100).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 3:00 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (11 - 16 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 1, z: 2, q: 2, x: 1}. Give prob of sequence qz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t - 25. Let f(h) = h**2 - 7*h + 5. Let l be f(5). Let p be q(l). What are the prime factors of 6\/(-6)*(p + -10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 3)\/(4\/4). Is n\/10 + (-168)\/(-20) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h + 411*h**3 - 3*h**2 + 403*h**3 + 24*h + h**2 - 820*h**3 to the form l*h + u + r*h**3 + d*h**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30027.8 - 30027.3. Let i = 0.1 - 0.1. What is the closest to -0.2 in i, -0.3, h, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6722\/225 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o - 4. Put 2, o, 0 in descending order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481365 and 1890.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.972 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(65) - -2*sqrt(65))*-3 + (sqrt(65) + (sqrt(65) - sqrt(65)*1) + sqrt(65))*-1))\/(sqrt(15)\/(-1*sqrt(3)) - 2*sqrt(500)))**2.\nAnswer: 6292\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -800, -1208, -1616?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - y + 2*y - 993, 1003 = u - y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 2551899.\nAnswer: 2551899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -1\/36*t**4 - 1\/30*t**6 + 0*t**2 - 1\/15*t**5 - 6*t + 0 + 0*t**3. Suppose s(j) = 0. What is j?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 981 divided by -3\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5496?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 34 = 26. What is the first derivative of 8*d**h - 33 - 17 - 21 + 3*d wrt d?\nAnswer: 16*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 3*h**2 - h - 2. Let y be s(-1). Let v = 1.9 - 2. Let w be (-4)\/(-14) - (-6)\/126. What is the second smallest value in w, y, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10954043*a**2*l**2 + a**2*l - 19*a**2 + 3*a*l - a - 6208*l wrt l.\nAnswer: 21908086*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-1))\/(7 + 66\/(-9)). Let g be (4\/(-2))\/(4\/(-8)). Which is the closest to -4? (a) q (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -1.1, 5, 2\/3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 294883 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*84\/(-192)*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8023 divided by -7?\nAnswer: 8023\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2860 - -2857. Let y(s) = 26*s**3 + 16*s**2 - 16*s + 16. Let o(q) = -q**3 - q**2 + q - 1. Determine k*y(n) - 48*o(n).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*u + 16. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 120*p - 1524 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 3) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 651*p + 6867. What is t(-11)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23482663 (base 9) to base 10\nAnswer: -11450946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/1056*-8*(-4)\/(-10)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 566 - 197. Calculate the greatest common factor of s and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:01 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-96)\/(-33) - 3). Let r = v - 25. Let a be 1\/r + (-50)\/(-90). What is the fourth smallest value in -0.3, 4\/9, a, -2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tottaautyutuottuttut. Give prob of sequence uot.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100 (base 2) in base 16?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5929 (b) -31.1 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6*f - f - 31 = 0, 2*l = -2*f + 16. Suppose -2*h = -4*w + 7*w - 301, 0 = l*w - 15. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 194182696 and -0.5?\nAnswer: 194182696.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.41694 grams in kilograms?\nAnswer: 0.05041694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1493942 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) + (-54)\/12. Let u(p) be the first derivative of -3*p**2\/2 + p + 6. Let c be u(-1). Put -9, r, c in increasing order.\nAnswer: -9, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1605276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155144107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 6:57 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1955170 and 117\/258473474.\nAnswer: 1292367370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 80. Let d = -147 + 152. Suppose 2*i + d*w - l = 0, -2*i + 17 = -2*w - 33. What is the lowest common multiple of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (4 - -19) + 5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291950\/3828 - 3*1\/(-2) is divided by 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.6 - 0.044331.\nAnswer: -78.644331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-76)\/(-190))\/((-2)\/40). Let c be 10\/(-20)*28*t. Let r = -12 - -44. Calculate the highest common divisor of c and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17b1979 - -4?\nAnswer: -17b1975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhd when three letters picked without replacement from hhdh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, y: 1, h: 1, v: 1}. What is prob of sequence yh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429*m**3 + 2497*m**2 + 228*m**3 + 2*m - 2493*m**2 to l*m**3 + o*m + p + b*m**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6\/13 (b) 0 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 + 2*t - 2*t)*(30*t**2 - 143*t + 143*t) - 18*t**4 - 3*t**4 - 22*t**4 to the form n + o*t**2 + u*t + p*t**3 + z*t**4 and give z.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s + 2752 = 164*s for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2 + 26. Let b(h) = 2*h**3 + 7*h**2 - 2*h - 57. Let q(p) = 4*b(p) + 9*m(p). Give q(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30442 (base 7) in base 16?\nAnswer: 1d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, -1, 5, -3 in descending order.\nAnswer: 5, -1, -3, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -31.9.\nAnswer: 15.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 2*g**2 + 3*g + (206 + 181 - 73)*(-3*g + 2*g**2 + 3*g).\nAnswer: 630*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -30*k + 5. Let t(o) = -5*o + 17*o + 33*o - 8. Suppose -3*z - 23 = 1. Let q(v) = z*a(v) - 5*t(v). Let p(g) = -2*g**2. Give q(p(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + q**2 - 1 - 7 + 4 + 3*q**3 as b*q**3 + k*q**2 + r*q + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -4, -346 in decreasing order.\nAnswer: 7, 4, -4, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59107\/6 + -9851. Let v = -0.2 + -0.3. Which is the second smallest value? (a) j (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q = 77*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 1. Let b be k(-1). Suppose -m + b*t - 71 = 0, -2*m + t - 148 = -t. Let q = 129 + m. What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2999250 by -23250.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 543\/9 - (962\/1554 - 2\/7). Let t(h) = -h**3 - 3*h**2 - 6*h. Let x be t(-4). What is the greatest common factor of s and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 41, 76, 121, 176?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 874.4 - 870. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 46. Suppose 38 + 61 = 3*a. Calculate the greatest common factor of n and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b. Let r(f) = 3*f**2 - 7. Let i be 0\/(5 + -2) - 5. Let v(s) = -2*s**2 + 5. Let n(a) = i*r(a) - 7*v(a). Give n(t(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 174, 43, 0.2, 3, 1, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12352.77ng?\nAnswer: 12.35277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 9*g**3\/5 + 42*g**2 + 987*g\/5 + 306\/5 = 0.\nAnswer: -17, -6, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/4))**(10\/9)\/(u\/(u*u**(-2\/3))*u*u\/(u\/(u\/(u\/u**(-7\/3))))))**28 assuming u is positive.\nAnswer: u**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2286 + -2278. Solve 5*z = -2*s + 15 + n, -3*s - 2*z = -7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4\/3 - 46*r**3\/3 + 322*r**2\/3 - 554*r\/3 - 308 = 0.\nAnswer: -1, 6, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - f**3 + 5*f**3 - 6*f**3)*(17*f - 92*f - 77*f) to the form l*f**3 + p*f**4 + i + g*f + k*f**2 and give p.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j = -13371 - 2073. What is the greatest common divisor of j and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.32 (b) 5 (c) 3389 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 41*u**2 + 3*u + 2. Let v = 26 + -7. Let a = -20 + v. Does 10 divide p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 5*y - 2*a = w*y + 18, -2*y - 6 = 4*a. Solve -v + 20 = 3*v, -5*l + y = -3*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 15*y + 18 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -5, -0.4, -0.2 in decreasing order.\nAnswer: 3\/5, -0.2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 + 8 = 0. Let a(u) = -4*u + u**2 + 0*u**i - u - 6 + 4. Let m be a(5). Sort -0.2, m, 0.5 in ascending order.\nAnswer: m, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 40 + 42 = m + 4, -2*s - 4 = -56*m + 50*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 8*k**2 + 9*k - 9. Determine b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 2364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.2, -3, 3\/10 in descending order.\nAnswer: 3\/10, 0.2, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**2 + 871*n + 73. Calculate c(109).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587 + 605 = 3*c + 5*z, 2*z = c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 137 = -5*p, 3*p - 3*c + 76 = -11. Let v be -3 + 2 + p\/(-2). Solve 4*f - 2*u = -u + v, -5*u - 31 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 64568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-158 - 6 + 87)*(-4*h - 2*h + 3*h) + 15*h + 20*h + 21*h in the form a + j*h and give j.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcm when three letters picked without replacement from mmxmpzmzczmxmcmmmmm.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*h = -27, 4*x - h + 2*h + 1 = 0. What are the prime factors of ((-50)\/x)\/(-2 - -3 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 0.2, -37687?\nAnswer: -37687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 1, j: 1, p: 1, h: 2, s: 1}. What is prob of sequence hjsz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let b(t) be the second derivative of -10*t**3 - 19*t. Give k(b(z)).\nAnswer: 120*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g*g\/g**0*g*g)\/g)\/g)\/((g\/(g\/(g**(3\/17)\/g))*g)\/g))**(2\/5)\/(g**6\/((g**7*g)\/g))**1 assuming g is positive.\nAnswer: g**(249\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -5. Let v = 2 - p. Which is the closest to 1\/3? (a) -3\/5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-16 - 15) + -5 + (-12 - -101).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -71*l**3 + 17*l**2 - 6 + 17*l + 72*l**3 + 13*l**2 - 48*l. Calculate w(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-11916\nAnswer: 47664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 194*s**2 - 359*s + 56. Calculate v(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3102353*a - 1631540 wrt a.\nAnswer: -3102353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654953 is divided by 979.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-20) - (-8)\/(48\/(-18))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c. Find the second derivative of 9*m**5 + c*m**5 + 8*m**5 + 6*m wrt m.\nAnswer: 340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 + 18*m**3 + 27*m**2 - 12*m - 36 = 0. What is m?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*o - 50 = 0, 3*o + 60 = 3*l - 0*l. Let b be (5 + -3 - -1)\/1. Suppose h + 8 = b*h. Calculate the remainder when l is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s - 5 = 0. Let w = 8 + s. Is 146\/w + (-1)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1 - 13*m + 14*m + 2. Let q(j) = -1. What is 3*q(o) + v(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*i**3 - 1113*i**2 + 169418?\nAnswer: 69*i**2 - 2226*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1351010268 + -1350911136.9967. Let r = b - 99136. Let f = -5 - r. Round f to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 326 + -326. Suppose t = -3*d + 3*w + 1818, 4*w = 2*d - 321 - 893. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13556*y = -5*w - 13554*y + 200897, -y - 40174 = -w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + -0.4. Let y = -2 + d. Let f = 4.5 + y. What is the second smallest value in f, -5, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 26. Suppose 0*b = -5*b + 115. What is the remainder when b is divided by c(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 9) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4160 + 7238. Suppose -4*n + 459 + 293 = k, 4*k - x = -2*n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 2\/3*u**3 + 27 - 7\/12*u**4 - 2*u + 51\/2*u**2. Find the first derivative of b(w) wrt w.\nAnswer: -14*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (7 + (-403)\/65)\/(6\/(-75))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1159171.\nAnswer: -1159171, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(-3)\/10*(-6480)\/(-96). Let n = u - -149. Let j(r) = r**3 - 3*r**2 - 3*r - 2. Let f be j(3). Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and -3\/855962.\nAnswer: 4279810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g + 2*g - 4*y, 0 = -2*g - 2*y + 10. Suppose g - 5 = p. Sort 1, -4, p, -1.\nAnswer: -4, p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11320, -11252, -11184?\nAnswer: -11116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from xxuxmxxuxxsumxxuxxx?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggp when three letters picked without replacement from ngddqgtp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(180)*-1*-2.\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -302860, -605726, -908592, -1211458?\n\"Answer: -302866*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479678, 479676, 479674?\nAnswer: 479672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*j + 20 = -j, -3*j - 12 = -3*k. Calculate the remainder when 162\/8 - k\/64*4 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/1*2\/(-4). Let n(p) = -p**2 - 30*p - 178. Let u be n(-8). Let g be 20\/(-36)*(-3)\/u. Which is the closest to s? (a) 0.3 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65774 is divided by 7301.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*q**5 + 129*q**2 wrt q.\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 81, -4, 3468, -2.\nAnswer: -4, -3, -2, 81, 3468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168895546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 16*a**2 - 27*a + 17. Suppose 40 = 5*x - 25. What is the tens digit of h(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 11*c**2 - 11*c + 5. Let q be j(-12). Let u(o) = 39*o**2 - 3. Let f(h) = -26*h**2 + 2. Let i(v) = q*f(v) - 5*u(v). What is i(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23647650 divided by -13.\nAnswer: 1819050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 737748083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 823.9 - 824. Sort 0.2, -4, l, 18.\nAnswer: -4, l, 0.2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 0.4, -1\/77, 4?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -437 - -440. Let t be (0 - 3)\/((-39)\/65) + b. Solve 3*l + 4*s = t - 3, 4*s = 2*l + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - (-19785)\/675)*6\/(-7).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239758739?\nAnswer: 2239758739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1252 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, r: 3}. What is prob of sequence rrtr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -3*u. Put -39, -3, u in increasing order.\nAnswer: -39, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2 + 2 + 3*z. Let t(b) be the second derivative of 0*b**2 + 16\/3*b**3 + b + 9. What is t(n(w))?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 24*r - 22. What is the tens digit of w(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*c - 57 = 0, -5*r + 76*c = 79*c - 55. Solve 8*y - 16 = -r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 32*v - 34*v. Calculate the remainder when v is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.19 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 167, -132 in decreasing order.\nAnswer: 167, 8, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + 1.97. Let s = k + -3.4. What is s rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1851808.402 to the nearest one hundred.\nAnswer: 1851800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 49*v + 6)*(-58*v - 64*v + 143*v)*(9 + 30 - 22).\nAnswer: 17493*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1, 0.4, -2, -5 in ascending order.\nAnswer: -5, -2, -4\/3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 922886.9937 - 922730. Let b = d - 157. What is b rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 6894 = 6*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/2, 1\/6, 1.4, -0.02 in decreasing order.\nAnswer: 5, 1.4, 1\/2, 1\/6, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**3 - 18*t**3 - 7*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35536*s - 918 = 35570*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-2)\/(-8)*-4). Solve 3*c = -c + r*u + 24, 0 = -2*c - 2*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -95*b**2 - 3147*b + 21761. Calculate v(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**2 + 3*v**3 - 3*v**2 - 4 + 0*v**2 - 2*v + 5. Let k = 16 + -15. Calculate the lowest common multiple of 6 and p(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-12))\/(120\/(-8)). Let t(f) be the second derivative of 4*f - 1\/3*f**4 + 0*f**3 + 0*f**2 - 1\/30*f**6 - q*f**5 + 0. Solve t(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1.3, -1\/4, -0.4, 5\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -14. Suppose -p - l = -t + 2*p, t = -p - 4. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -26*r - 59. Let d be x(-4). Calculate the remainder when 142 is divided by -2 + d + 5*1.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102312, 204667, 307022, 409377, 511732?\nAnswer: 614087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202008 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13761\/68 <= 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 - (10 + -4)) + 9 - 13) + -9\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4454 - 2990. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 1971 = 178. Let s = c - 149. Solve 0*j - s = 7*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (90\/36)\/((-18)\/(-108))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -119.\nAnswer: -118.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 557761487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*f + 13 + 3 = 5*p + 87*f, 5*p + 5*f + 40 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0057 and -1914.\nAnswer: -1913.9943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -4.5. Let r = h - -0.5. Let y = r - 1.5. Which is the closest to 0? (a) -5 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 23, 1089, 191.\nAnswer: -7, -1, 23, 191, 1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 297, 453, 611?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327794007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*q = 37352 - 46271 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131012521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 27. Let v(a) = 5*a + 4*a + 2 + 0. Is 25 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11609685 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 2 - (-2)\/(-10). Let h = 110576 + -110580. Sort h, a, -5 in decreasing order.\nAnswer: a, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-883 - 1600*c - 5683*c - 124097*c + 883 - 42151*c)*(3*c**3 - 6*c**3 + c**3).\nAnswer: 347062*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93\/158 - 46243\/316. Let j = 146 + p. Which is the smallest value? (a) 0.1 (b) 0.5 (c) j (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 557 and 2?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -230, -0.4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6662, -6664, -6666, -6668, -6670?\n\"Answer: -2*c - 6660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 9*g + 7. Suppose 3*b = -2*c + c, -7 = -b + 2*c. Let s be (b\/(-2))\/(1\/16). Is z(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 368?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, r: 4, v: 1}. What is prob of picking 1 w and 1 r?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Let d be 4*(-6 + 7) - (0 - 109). Let a = -117 + d. Is f greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4470.27 and 0.359.\nAnswer: 1604.82693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 31600 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 24 = 3*n. Let y(g) = 7 + 10*g**3 + 3*g - n - 11*g**3 + 5*g**2 - 8*g. Let a(j) = j**2 + 6*j + 4. Let q be a(-6). Give y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*z + 3096 = -430*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 29*g - 2 = 27*g, 11*k - g - 17 = 0. Factor -1\/3*o**3 - 1\/3*o**k + 4 + 8\/3*o.\nAnswer: -(o - 3)*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-77)\/21)*(-1)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006361 (base 9) in base 6?\nAnswer: -15254001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*w - 266 = 0, -2*w - 262 = 3*a - 0*w. Let g = 128 + a. 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 the hundreds digit of 345027224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 2*n)*(n**2 + 3*n**2 + 0*n**2)*(-2 + 5 - 2).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 2\/11, -1, -30\/11, -0.2, 0.67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05259+13632\nAnswer: 13631.94741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.357202 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3176947, 3176940, 3176931, 3176920, 3176907, 3176892?\nAnswer: 3176875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7323 - 83.9777. Let v = f - -83. Round v to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -3 + sqrt(242) + 2*sqrt(242) + sqrt(242).\nAnswer: -3 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z + 6, -n + 3*z = 5. What is the smallest common multiple of 246\/14 + (-9)\/(-21) and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 86*(3 + -1 - 3). What is the units digit of (r\/4)\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7980 = 5984279*d - 5984219*d for d.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-90))\/(((-82)\/(-14) + -1)\/((-240)\/(-70)))?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -7*y**4\/24 + y**3\/6 + y**2 + 4*y. Let o be i(-1). Solve 3*m - 25 = o*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*g + 329*g - 4 = 0. Let m = 35\/6 - 109\/18. What is the third smallest value in m, g, 1.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102346 is divided by 485?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 125a53?\nAnswer: 125a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -122, -134, -156, -188, -230, -282?\n\"Answer: -5*i**2 + 3*i - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 11. Let v(z) = z**2 - 4*z + 5. Let j be v(4). Suppose 0 = 2*r - 3*r + j. Calculate the remainder when r is divided by y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -560, -542, -518?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 - 3*k + 2. Suppose -20 = 4*h + 2*n - 6*n, 0 = -2*h + n - 10. Let q(d) = d**3 + 5*d**2 - 3*d - 9. Let t be q(h). Give y(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j - 4*o, -4*o = j + o - 25. Solve 3*v - v - 10 = j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/25)\/(1\/((-60)\/18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqqq when four letters picked without replacement from kqqqqqqqqqqqqqqqqqq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20146, 40282, 60416, 80548, 100678?\nAnswer: 120806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598 rounded to the nearest ten?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 36*c - 6406 - 6498 + 19440 - 6536.\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426930 by 21.\nAnswer: 20330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + 9. Suppose -25 = 5*z + 3*b, 0*z + b = -4*z - n. Let m = -6 - -8. Put z, -1, m in descending order.\nAnswer: m, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/144*6\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-36)\/186). Is s > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168 - -169. Let c = -4 - d. Suppose 2*t - 6*t = 2*s + 8, -4*t + 2 = -3*s. Put c, s, 0 in ascending order.\nAnswer: c, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -34?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39653364 is divided by 170.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.165 * -0.3.\nAnswer: -0.0495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4989*u**4*w**2 - 1607*u**3*w**2 + 2*u*w**2 + 37027*u*w + 4*w**2 + 3*w + 1 wrt u.\nAnswer: 59868*u**2*w**2 - 9642*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**3 + 7*z**2 + 7*z - 2. Let u be r(-2). Let m = u - -135. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*p = -341*p + 67850 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32605, -32606, -32607, -32608, -32609, -32610?\n\"Answer: -w - 32604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 - 22*o**2 - o**5 + 14*o**2 + (o**4 - 3*o**4 - 6*o**4)*(3*o - o + o).\nAnswer: -25*o**5 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2 + (0 - 5 + 4)*(-4 + 5 + 0) - 4 + 2 - 1)*(2 - 2 + 2*u**2) in the form r*u**2 + x*u + h and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 150.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2506 (base 8) to base 13\nAnswer: -7cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.14921762 to zero dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - o - 3*o = 67, -3*p = -4*o - 37. What is the remainder when p is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 - 0)) + -40 + 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126508092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 - 3. Let o(g) = g**2 - 1. Let h(b) = 200*b + 3399. Let k be h(-17). Determine k*y(n) + 3*o(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/10)*d**(1\/10)*d assuming d is positive.\nAnswer: d**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3942, -3929, -3904, -3867, -3818, -3757?\n\"Answer: 6*t**2 - 5*t - 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 2*z + 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24920, -49233, -73544, -97853, -122160, -146465?\n\"Answer: q**2 - 24316*q - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7564*c**2 + 130*c - 3961. Is p(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339858 is divided by 1666.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 8*l**2 - 12*l - 9. Give w(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323572677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101110000110 (base 2) to base 14.\nAnswer: -1071c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68.7981 - -0.0019. Let p = l + -65.8. Which is the closest to p? (a) -5\/4 (b) -0.2 (c) -3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2dd?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (159*t**2 + 44*t**2 + 49*t**2)*(3*t - 3*t - 2*t)*(2*t - 3*t + 11*t) as l*t**3 + s + m*t + a*t**2 + v*t**4 and give v.\nAnswer: -5040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -g - 3 - 3, g - 3*z = -1. Let o = 7 - 37\/5. What is the biggest value in g, 2\/13, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11780765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40750 - -5?\nAnswer: -40745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33 - (-1 + 9\/(-3)). What is the highest common divisor of o and 703?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181279 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 297*z**3 - 33*z + 23*z - 3 + 3*z**2 + 301*z**3 - z**4.\nAnswer: -(z - 4)*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - 1 - (89 - 87)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16421 + -16388. Solve -21*x - 5*p = -24*x + t, -4*x - 2*p + 18 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00131184 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -2 - 1\/180*w**6 + 0*w**3 + 0*w**4 + 0*w - 1\/2*w**2 - 1\/90*w**5. Let o(j) be the second derivative of t(j). Factor o(u).\nAnswer: -2*u**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)\/f*f*f**(-1\/4))\/(f**(1\/2)\/f*f**(-10)\/f) assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00681705 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-1))\/(12\/(-30)). Suppose w*j - 300 = -5*y, 3*j - 5*j + 102 = -4*y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*f = -56832 - 177918. What is the highest common factor of f and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 391? (a) 3\/4 (b) -4 (c) -0.2 (d) -12\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 692\/65 + -54\/5. Let r = 5072 - 5067. Let m = 127 + -126.7. Which is the nearest to m? (a) -5 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i, j - i = 150. Suppose -j = -4*w - 5*n, w + 2*n - 39 = -0*w. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-236)\/(-4) - (1 + -1). Let r = f + -40. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13100 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 59. Let g = 108137476 + -108137433.0000047. Let r = d - g. What is r rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -0.18116.\nAnswer: 0.28116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14524270 (base 8) in base 6?\nAnswer: -155054200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8115963 or 8115964?\nAnswer: 8115964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.0535 and -1604146656?\nAnswer: 1604146653.9465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 20\/(-8) + -2. Let l = -45\/14 - p. Let q = -101 + 97. What is the second biggest value in q, -2\/11, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232625.\nAnswer: 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 2666 - 494 = 0. Let p = -117 + q. Does 32 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.006 and 0.3.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5212\/9 + 580. Let d(w) be the first derivative of l*w - 4 + 2\/9*w**3 + 8\/9*w**2. Factor d(r).\nAnswer: 2*(r + 2)*(3*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5871490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 5*u**3 + 1 - 2 to the form h*u**3 + s*u**2 + i*u + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -362, -20, -4 in decreasing order.\nAnswer: -4, -20, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5 + 111*z + 6*z**2 - 65*z - 56*z + z**3. List the prime factors of h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 11*c + 29. Let g be q(-13). Suppose 0 = -4*o - 1 - g. Suppose -43*h + 58 - 15 = 0. Put o, 5, h in increasing order.\nAnswer: o, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -0.02, -0.5306, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/7*154\/2310.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4915879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -56. Let c(i) = 15*i - 8. Let f be c(t). Suppose -n + 30 + 8 = 0. Is n < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 20*m**2 - 18*m + 14. What is r(-19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*z - 35, 22*p - 20*p + 25 = 5*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - -6 - (7 - (-18)\/18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 13*f**5\/10 - f**4\/12 + 9*f. Let r be w(1). Let m be (6\/5)\/(5\/r). Solve -20 = p - m*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 104. Let r = y + 3. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-6) - (-132)\/(-9). Let h be 26\/(-6) + (-2)\/(-6). Calculate the remainder when h\/z + (-189)\/(-12) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 105 + 39 = -z, s - 42 = 4*z. Let i = -32 + s. Suppose 2460 = -i*b + 6658. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:13 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125.49 - 126. Let b = 24527.489985 - 24528. Let g = b - z. What is g rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 - 100*q**2 + 7*q - 26. What is the hundreds digit of i(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 62?\nAnswer: 5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8010 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*71159921\nAnswer: -35579960.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8) + 4*18\/(-48)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3817471995 to the nearest integer?\nAnswer: 61786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -336608087?\nAnswer: 336608082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let y = -93 + 88. Let v(t) = t - 1. Calculate y*v(c) - 6*p(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let m = 2.999956 - o. Round m to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 45\/(-10))*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*v - 14 = 0, 0 = 5*s - 3*v + 373 - 385 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:03 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 1840 = -9*p - 30*p. Let g(l) = -23*l + 2. Let s be g(-6). Calculate the highest common factor of s and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 5. Determine y(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + (sqrt(112) + -2*sqrt(112))*1*5)**2 + -3*(-5 + -6*(sqrt(112) + (sqrt(112) - (sqrt(112) + 1)))*-4)**2.\nAnswer: -193243 + 16864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 2*u + 17 + 2. Let m be p(8). What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11826 + 10*b - 23652 + 11825.\nAnswer: 10*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173088390*m**2 - 155*m - 720067?\nAnswer: 346176780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 2. Let k = 35 - 32. What is a(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o - 9. Let d be n(0). Let k(s) = -s - 5. Let b be k(d). Suppose -18 = 3*v - 3*f, v - 16 = 4*v - 2*f. Sort v, -5, b.\nAnswer: -5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -5*v**7\/21 - v**3 + 11*v. Find the second derivative of n(y) wrt y.\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**3*o*o*o*o\/o**(-1\/3)*(o**(-6)\/o)\/((o\/(o\/(o*o**1))*o)\/o)*(o\/(o*o**(1\/4)))**24\/(o**(2\/9)*o*o\/o**(-2)) assuming o is positive.\nAnswer: o**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 709*w - 711*w. Does 65 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.2\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298378 * -2.\nAnswer: -596756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*w + 28 + 296. Suppose -13*j = -14 - w. Solve j*s = 4*o + 6*s - 20, -21 = -4*o - 5*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24743\/(-70) + 4\/(-40). Let h = -39257\/112 - l. What is the common denominator of -21\/4 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 735061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5581 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 0.5, 3434 in decreasing order.\nAnswer: 3434, 0.5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25316 = d - 253684. What is d rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*2*(-8)\/(-32). Let o(y) = 4*y - l*y - 15 - 6*y**2 + 24. Let i(h) = -2*h. What is o(i(m))?\nAnswer: -24*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*a = 0, -a = 4*x + x + 12. Sort x, 8, -5.\nAnswer: -5, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 361, 540?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 18\/11 (c) 46 (d) 0.19 (e) -2 (f) 0.27 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*r + 11, r - 68 = 11*t - 21*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4 - 1117*q**3 - 263274*q**2 + 28066532*q - 55071016 = 0.\nAnswer: -598, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1560*b**4 - 557*b**3 + b**2 + 73*b - 78146 wrt b?\nAnswer: 18720*b**2 - 3342*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 7*s - 3*s)*(478*s**2 + 113*s**2 + 95*s**2 - 12*s**2 + 148*s**2) in the form o*s**2 + q*s**3 + n*s + f and give q.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31276145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1129, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -47*s + 56. Let j(u) = u**2 - u. Let b(i) = -4*i**2 - 16*i. Give s*b(p) + 3*j(p).\nAnswer: -p**2 - 19*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12500 and 7.\nAnswer: -87500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221\/7 + 745\/21. What is the common denominator of 29\/144 and w?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -1\/8*r**4 - 1\/3*r**3 + 0*r - 4*r**2 + 0. Calculate k(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3032324710.\nAnswer: 2, 5, 557, 544403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -766 in -4, -3\/2, 2\/481, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 0 (c) 3 (d) -1 (e) 149\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {u: 1, w: 1, y: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101316*o + 112572*o - 2 - 194062*o to the form x + b*o and give b.\nAnswer: 19826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190882958 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -45) + -111 + 144.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-16)\/(-36))*66\/(-231)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*x**4 - 2261644*x**3 + 79575972*x**2 wrt x?\nAnswer: -624*x - 13569864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + j - 1. Suppose -5 = 4*h + 5*n, -5*h + 4*n - 5*n - 1 = 0. Let x(r) = 3*r**2 + h*r - r - 29 + 30. What is 7*t(l) + 5*x(l)?\nAnswer: l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8924319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*f*p*r**2 - 45*f*p + p*r**2 - 177*r**2 + 2*r wrt f?\nAnswer: -42*p*r**2 - 45*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18956)\/(-448) - 145\/464?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 - 19 - (-6 - -1). Let i(h) = 2*h**2 - 2*h + 1. Let l be i(u). Suppose l*y - 847 = -3*w, 3*y - 158 = 2*w + 335. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in -0.1, -7, 2\/11, -10, -1.82?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3166073 and 865?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2)**3\/(t*t**0)**(-8) assuming t is positive.\nAnswer: t**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s - 1079 + 4830 = -1929 - 2232 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:13 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3397 - 2098. Suppose 1795 = 14*v - a. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 3\/5, -31, -0.4, 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:54 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9228477 > -9228469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - c - 2*c**2)*(21*c**2 + 6 - 47*c**2 + 30*c**2) - 4*c**4 + 2*c**4 + c**4 in the form j*c**4 + l*c**3 + z*c + f + u*c**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -75.8, -0.5, 0.1 in increasing order.\nAnswer: -75.8, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 6 - 9 + 14 + 2*l**2 + 25*l - 25*l + (0*l + 2*l - l)*(3*l - 5*l + l).\nAnswer: -l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -34. Let z be (-28)\/48 + (-1)\/(-3) - 0. Let t = -2\/283 + -845\/566. Which is the nearest to s? (a) z (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 6*f - 24 = 0. Let y(s) = -6*s + s**3 - 11*s + 16*s + 6*s**2. What is the remainder when 16 is divided by y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 = -2*i, 11*a - 10*a = -4. Let c = -38 + 25. Are c and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5470 divided by 19?\nAnswer: -5470\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*g - 2*g. Let w be 1\/(6\/(-16))*-3. Suppose -g = -w*u + 3*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = -0*w. Suppose -8 = -w*l - l. Solve -l*a + 12 = -0*i + 4*i, 0 = -4*a + 4*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = -17*g + 325 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456022?\nAnswer: 2, 7, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-20 + 19 + 6*c + 13*c) + (5*c - 19 + 19)*(4 - 3 + 0).\nAnswer: -33*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, x: 2, o: 12}. Give prob of picking 2 h and 1 o.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*b - 173*b = -6*b + 352. Let h(m) = 2*m**3 - 3*m**3 + 6*m - 2*m - 3*m**2 + 5. Determine h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792) + sqrt(792)*1 - (-1*sqrt(66))\/sqrt(3))\/(((3*sqrt(396) - sqrt(396)) + sqrt(396))*-6).\nAnswer: -13*sqrt(2)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*11\/(-550)*312\/(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, i: 7, z: 3}. Give prob of picking 1 g and 1 z.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 5*l**3\/2 - 17*l**2 + l. What are the prime factors of y(16)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229909 is divided by 393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:44 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/(-3))\/(1\/(-3)). Let p = n - -7. Let x be (4 - 1) + (p - -5). Solve -2*c = -4*m - 2, x*m - 2*m + 6 = 2*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.11 (b) 3 (c) 0.1 (d) -0.02 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 46 + 3*f + 0*f + 46.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -2 (c) 1.5 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.84?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7371, 7375, 7391, 7425, 7483, 7571, 7695, 7861?\n\"Answer: s**3 - 3*s + 7373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -6 - (2 - -17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 10. Let o = l - -5. Let b = 3 + -1. Put 5, o, b in ascending order.\nAnswer: b, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 651082457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - s + 15 = 2*s, 2*c + 2*s = 10. Let z(r) be the second derivative of -1\/6*r**4 + c - r + r**3 - r**2. Give z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 109*c + 2510. What is j(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 7. Let o(p) = 3*p + 7. Let d(u) = 2*n(u) + 3*o(u). Let t be ((-28)\/(-16))\/(1\/4). Is d(t) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79 - 24678*m + 12355*m + 12357*m to n*m + y and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txk. Give prob of picking 1 x and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i**3 + 9*i**2 + 2*i - 2. Let f be o(-6). Suppose -8*c = -42*c + f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -325?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 5 - 2\/4*-7. Let t = 1998\/5 + -400. Sort 0, t, 0.4, o in ascending order.\nAnswer: t, 0, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -824d (base 14) to base 13\nAnswer: -a281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66261654313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35657 and -192.\nAnswer: -6846144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/396 and -83\/16992.\nAnswer: 186912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17286\/516 - 34\/1)\/((-7)\/(-36))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**7\/1260 + r**6\/720 + r**5\/40 - r**4\/6 - 139*r**3\/6 - 24*r + 2. Let u(d) be the third derivative of w(d). Determine u(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 7\/200*h**5 + 3\/20*h**3 + 0 - 1\/8*h**4 + 0*h**2 - 1\/300*h**6 + 16*h. Suppose f(s) = 0. Calculate s.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -279433266.954 and -0.21.\nAnswer: -279433267.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*a + 4)*((2 + 5 - 5)*(0*a + 0*a - a) - 48*a - 43*a - 50*a).\nAnswer: 286*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 1140, 0.115, 3, -4?\nAnswer: 1140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20372955 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.563 rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 7*m - 9. Let v be r(-8). Let s = -0.51 - -0.11. Sort -2\/11, v, s in descending order.\nAnswer: -2\/11, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zrrzzzzr.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864858798.\nAnswer: 2, 3, 587, 81853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5756 * 90095\nAnswer: 51858.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (560\/(-12))\/70*2*2\/8\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -11, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14039 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 + 5*l**3 - 2*l**4 + (5*l**3 - 2*l**3 - 2*l**3)*(3*l - 3*l - l) - 2 + 18*l - 18*l + l**2 + 13*l**4.\nAnswer: 10*l**4 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(6*(sqrt(396) + sqrt(396) + 3 + -3 + sqrt(396) + sqrt(396) + sqrt(396)) + -2) + 4)*6)**2.\nAnswer: 25920*sqrt(11) + 12830544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - (-3 - 2))*-2. Suppose -5*i + 324 = t*u, -11 + 2 = 3*u. Calculate the remainder when i is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344087538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4584370.\nAnswer: 2, 5, 7, 79, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 242415108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -16*o + 356. Solve o*g - 4*v = 0, -6*g + 3*v = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*a + 368 - 354 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/6 + 5*x**4\/24 + 2*x**3\/3 - 125*x**2. Let w(s) = -11*s**2 - 6*s - 5. Give 6*p(z) + 5*w(z).\nAnswer: 5*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 6. Let x be n(2). Let q(t) = t**2 + 11*t + 2. Let v be q(-12). Let j = v - x. Calculate the remainder when j is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/816*85*5\/(100\/(-888))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r**3 - 12*r**2 + 12*r + 18. Let g = -11 + 5. Let n(y) = y**3 + y**2 + 1. Let p(s) = g*n(s) - c(s). Suppose p(o) = 0. What is o?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 + 2*w - 7*w**2 + 3*w + 6*w + 5*w**2 + w**4 as g + r*w + q*w**2 + n*w**3 + v*w**4 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/7)*o**1\/o)\/((o*o**(2\/11))\/o*o\/(o**(-4\/5)*o)))\/((o\/(o*o\/(o*o**(-2\/5))*o*o))**(1\/13)\/((o\/o**(-2\/5))\/(o\/(o**(4\/9)\/o)))) assuming o is positive.\nAnswer: o**(-49352\/45045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1872)\/(-11) - 2\/11. Suppose -2*s - 3*s + x = 0. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 0*o**3 - 5*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -66*y**5\/5 + 722*y**4\/5 + 6776*y**3\/5 + 504*y**2 - 35776*y\/5 - 2176\/5 = 0. What is y?\nAnswer: -4, -2\/33, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvyehyyyhy. Give prob of picking 1 v, 1 h, and 1 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -75. Put 0, q, -22 in descending order.\nAnswer: q, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-18*x - 213 + 213)*(5*x - x - 5*x) + (3*x - 3*x + 2*x**2)*(-1 + 4 - 1))*(5 - 5 - 5) in the form r*x**2 + s + h*x and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(156) + sqrt(156)*1 - sqrt(156))\/(-3*-2*sqrt(3)) + 5*(sqrt(65)*1*-4)\/(sqrt(5) + (sqrt(120)\/sqrt(4))\/sqrt(6) + sqrt(5)).\nAnswer: -14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 5, -0.4, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 13*w - 10. Let g be (-2)\/9 + 296\/36. Let v be (g\/(-3))\/((-6)\/(-27)). What is the smallest common multiple of x(v) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353 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: Which is the closest to -0.2? (a) 0 (b) -3\/5 (c) 2\/9 (d) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 15 - (6 - -18) - 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 813518.9 years to millennia.\nAnswer: 813.5189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -31587000 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/11 + 14*n**3\/11 + 12*n**2\/11 = 0. What is n?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 669.477 months?\nAnswer: 55.78975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*z + 36*z**2 + 739*z - 1648*z + 26*z**2 - 8*z**2.\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-1*sqrt(243)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364375 by -53.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -655*((-40)\/600)\/(1*(-2)\/(-1758)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 38. Let j = 0 - 0.5. Which is the second biggest value? (a) w (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -41 + 1. Let i = -9 + 14. Suppose -7 = -i*a + g. Solve a*c = c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*c*i*w - 211*c*i + 4*c*w + i*w - 2*i + 18409*w wrt i.\nAnswer: -14*c*w - 211*c + w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 8*u - 2*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*q - 159 = -2244 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-4)\/(-66)). Let a = -6 + q. Is 1\/a + 184\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 5:03 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - -66. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 + 2*m**2 + 5*m + 5. Calculate g(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/18*(-3)\/2. Let r(u) = u**2 + 3*u**2 - k*u - 3*u - u**2. Let s(o) = o. Suppose -5*q = -4*q - 5. Calculate q*s(i) + r(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 212488686.\nAnswer: -212488685.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 16*u - 25. Let v be y(14). Suppose -v*a + 945 = 18*a. What is the highest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0995 less than 10?\nAnswer: 1.9005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 620344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + -3 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxemxmxnxkxmxexeexk. Give prob of sequence xxn.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2.2. Let j = -2.58 - -1.67. Let f = 0.91 + j. Which is the closest to -2\/3? (a) z (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p - 2*p)*(286*p**3 - 685*p**3 - 243*p**3).\nAnswer: 3210*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*((-20)\/(-6))\/5. Which is the closest to 1\/3? (a) n (b) -1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125\/156 + -2\/39. What is the biggest value in -0.1, -3\/5, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41520141773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (629\/(-37))\/51*19.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -342 + -15032543?\nAnswer: -15033215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76*-9.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -233223023 (base 7) in base 2?\nAnswer: -110110111001110101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10a2a (base 16) to base 5\nAnswer: -4140023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/60 - 2*v**2. Let y(o) = 277*o - 277*o - 23*o**2. Calculate y(w(z)).\nAnswer: -23*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -102 (b) -1 (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) 7 (c) 0.5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 - 1027\/5. Factor 0*i + 0 + 3\/5*i**3 + m*i**2.\nAnswer: 3*i**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3773, 7241, 10707, 14171?\n\"Answer: -n**2 + 3471*n + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 10. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7977, 8108, 8187, 8208, 8165?\nAnswer: 8052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 0*r - 4 + 4 - 4*r. Let t(u) = 2*u**2 + 27 - 20 - 4*u**2. Let z(l) = l**2 - 3. Let j(a) = -3*t(a) - 7*z(a). What is j(x(n))?\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/3 - 44*q**3\/3 - 46862*q**2\/3 + 1442144*q\/3 - 1301216 = 0. Calculate q.\nAnswer: -157, 3, 28, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.1, 4\/3, 10\/23, -0.14934, 2\/5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1906 - 1328855*v + 1741 + 1328857*v to the form w + u*v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.797 - 23.797. Sort q, 2\/9, 19\/12, 0.1 in descending order.\nAnswer: 19\/12, 2\/9, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -204, 3, 5, 0, -2.\nAnswer: -204, -2, 0, 3, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 25. Let n(d) = 4*d + 24. Let g(c) = 5*k(c) + 6*n(c). Let q be g(-3). Solve -q*v + 3*v - 8 = -4*y, 3*y - 5*v = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m - 9. Let i(s) = -55*s**3 + 20*s. Let w(t) = 5085 - 3*t + 8*t**3 - 10135 + 5050. What is m*i(a) - 20*w(a)?\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2853\/6340 - (147\/(-140))\/(-7)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/492852 and -77\/696?\nAnswer: 28585416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1378 - 1378 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -11435\nAnswer: 5717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 110 = s. Let g be (4\/10)\/(82*47\/192700). Calculate the highest common divisor of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) 0.3 (c) 0.12 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*d, -b + 25*d - 27*d = -479. What is the remainder when b is divided by 118?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -2*r + 7*r. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 408136 or 408143?\nAnswer: 408136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1017)\/(-18))\/(2\/4) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6210917?\nAnswer: 307, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 922, 3448, 7678, 13630, 21322, 30772, 41998, 55018?\nAnswer: 69850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 8*j + 1. Let h be (-48)\/(-84) - 272\/(-14). Suppose -h = -5*v, -g - g = -5*v + 6. What is the units digit of d(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12003 is divided by 215?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 129 + 86 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -30*m**3 - 11*m**2 + 11*m - 16. Let o(n) = -6*n**3 - 2*n**2 + 2*n - 3. What is -22*o(w) + 4*r(w)?\nAnswer: 12*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 13*y = -200. Let u = 63 - y. Calculate the remainder when u\/5 - (-2)\/10*2 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 20*i + 172. Is 10 a factor of a(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -145\/3. Let o = -4 + 4.2. Let i = 0.234 + 0.066. What is the nearest to x in -1, i, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222 - 222.08. Put 2, -3\/8, -3, s in increasing order.\nAnswer: -3, -3\/8, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - 1 - x**2 - 1)*(-268*x + 212*x - 329*x)*(-x + 6*x - 3*x) to the form a*x**3 + p + q*x + m*x**2 + h*x**4 and give m.\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2388 = -3*h - 4*a, -3162 = -4*h - 214*a + 216*a. What is the greatest common factor of h and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63.5 - 63. Put v, 0.2, -3, 0.4 in decreasing order.\nAnswer: v, 0.4, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ststssssssssssssssss. Give prob of picking 2 t.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 327 and 354.8.\nAnswer: 116019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 20\/(-8))*(3 - (-63)\/(-54)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1800 divided by -1.\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 77. What is l(8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**2\/2 + 11*j + 45. Calculate r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 0*i - 2*i - 5*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/3 + 602*s**3\/3 - 2246*s**2 - 18966*s - 31212 = 0. What is s?\nAnswer: -3, 18, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59566)\/1659 + 36 - (-72)\/(-21)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309*h + 1302*h - 5220*h + 1308*h + 1313*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*((-4)\/4)\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 23*v + 54. What is the remainder when 88 is divided by g(24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3316*r**5 - 2*r**2 + 4*r - 8 wrt r?\nAnswer: -198960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 43. Let s(p) = -7*p + 7. Let w be s(2). Let i = w + u. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920537500 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is df (base 16) in base 9?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 33*h**2 + 1194*h + 3501. Let a(o) = 18*o**2 + 597*o + 1749. Let v(t) = 9*a(t) - 5*q(t). Factor v(c).\nAnswer: -3*(c + 3)*(c + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*a + 6. Suppose -5*l = -2*s + 154, -a*s - 4*l + 126 = 8. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*j + p - 5*p, 13*p - 7*p - 9*p = 27 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 146*j - 2. Let r be z(-4). Is (4 + -5)*(-1 + r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*n = 2*x + 345, -5*x + 345 = 5*n. Calculate the remainder when 198 is divided by x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -7988*m**3\/3 + m**2 + 4502*m + 8352. What is the second derivative of z(b) wrt b?\nAnswer: -15976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyky when four letters picked without replacement from ykyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/2)*k*k)**1*(k\/(k*((k\/(k\/(k\/(k**(6\/7)*k))))\/k*k)\/k))\/k**(-2\/3) assuming k is positive.\nAnswer: k**(253\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 324878792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 916 - 920. Let u = 0.09 - -1.81. What is the closest to -1 in u, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/6)*(p\/p**(3\/4))\/p)\/((p**(-2\/9)\/p)\/(p*p**(-5)*p)))\/((p\/p**(-5)*p**(-2\/13))\/((p**(4\/5)\/p)\/(p**(-4\/3)*p))) assuming p is positive.\nAnswer: p**(-18893\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10812010, -43248034, -97308074, -172992130, -270300202, -389232290?\n\"Answer: -10812008*i**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -2 (b) -12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - d + 1. Let y be l(1). Which is the second biggest value? (a) y (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16420 = 146*y - 151*y, -3*y - 4112 = -i. What are the prime factors of i?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s + 169 = 96*s - 97 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 1612.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*n + 45 = -0*n, 4*k - 18 = 2*n. Suppose p + 3*a + k = 5, 4*p - 4*a = 24. Suppose -4*j - 2133 = -2*v + 329, p*j = 4*v - 4944. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g = 3. Suppose -g*c = 3*z - 6, 10 = 5*z + c + c. Solve 2*f = -z*j, -j + 4 = -0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = -66*p + 64*p, -5*a + 4 = -2*p. Does a = 2\/1675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3838604998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(14) - sqrt(14)*-2))\/(sqrt(36)\/sqrt(2) + sqrt(2)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 1\/6*t**3 - 1\/20*t**5 - 2*t + 0 - 1\/2*t**2 + 0*t**4. What is w(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + (sqrt(2448) - 1*sqrt(2448)*5 - sqrt(2448)) + -2 - (-2*(1*sqrt(2448) + 4) + 4)))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*q + 159*q = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (4 - (45 + 1 + -4))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -1\/3 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937177197 to the power of 1\/2, to the nearest integer?\nAnswer: 54196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432554055?\nAnswer: 3, 5, 28836937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - c**3 - 2*c**3 + 0*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b = -5489 + 4615 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (0 - 2) - -3. Suppose 4*t - 13 = -d, -3*d = -0 - h. Suppose 8 = 3*r - 4*x, 0 = -t*r - r + 3*x + 13. Solve -i = i + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 16*n**2 + n**2 + 22*n + 20 - 14*n**2. Calculate s(-14).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1522b353?\nAnswer: 1522b352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3593090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9331976 divided by -4665988.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -3*s + 90 - 93, 2*b = 2*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 9*a**2 - 6*a - 11. Let w be u(8). Let d(l) be the third derivative of -l**4\/24 + 995*l**2. Determine d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2035353504 divided by 2?\nAnswer: -1017676752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3299 is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -149453*(-1 - (-1 - -1)). Let z = 3587713\/24 - v. Let g = 157\/6 - z. Find the common denominator of -29\/9 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:51 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39227 is divided by 2614?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 12016?\nAnswer: 60080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 6) in base 5?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -21. Suppose -4*n + j = -4*o, -5 = 3*n + 5*o - o. Let i be (n\/12)\/(1\/2). What is the third smallest value in -2\/5, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010 (base 3) to base 4.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*s + 11*s - 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28842935 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4\/23, 0 in descending order.\nAnswer: 4\/23, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 4*q + 3*a + 113, -90*q + 86*q + 196 = -5*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-40) - 22\/(-10). Let m = 28 - 4. Suppose v - m = -20. Solve -n*s + 0 = v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. Let y = 1237\/7 + -177. Which is the nearest to p? (a) -2 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(19)*1 - sqrt(57)\/(sqrt(6)\/sqrt(2)) - ((sqrt(76) - (1 + sqrt(76) + sqrt(76))) + sqrt(76))*-6) + -4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2912, 5764, 8592, 11384, 14128, 16812, 19424?\nAnswer: 21952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256561941.\nAnswer: 3, 23, 173, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v - 6. Suppose -v*c + 157 = -251. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8035.94 and -65.\nAnswer: 522336.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -16003802?\nAnswer: -3\/16003802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 58*p = -40. Suppose 0 = -y, -8*f + p*f + 2*y - 55000 = 0. What is f rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53.21 and -12.\nAnswer: -638.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2232488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**7\/420 - n**4\/8 + n**3\/2 - n. Let r(u) be the second derivative of s(u). Differentiate r(b) with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(19) + -3))**2 + (sqrt(171) - (sqrt(171)*-4 - sqrt(171) - sqrt(171)))\/sqrt(9) + -1*((sqrt(2299) - sqrt(2299)*-4) + -5)**2.\nAnswer: -56492 + 341*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 29. Let f be 14\/(-4)*(-9 + 7). What is the highest common divisor of f and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -2, -1\/6, 21\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-5)*105\/(-63). Find the third derivative of -3*s**2 + 26*s**5 + s**x + 7*s**2 - 8*s**2 wrt s.\nAnswer: 1560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*o - 34, -3*g + o - 64 = 3*o. Let l = -73 - -38. Let m = g - l. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 10848739.\nAnswer: -5\/10848739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -3039893\nAnswer: 1519946.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + sqrt(20).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (752*g + 869*g - 1119*g)*(-4*g + 0*g + 2*g + (1 + 1 - 3)*(-3 + 2*g + 3) + 1 - g - 1).\nAnswer: -2510*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 16*v + 10 - 5*v**2 + 4 - 2*v. Suppose 10*c - 2*b - 2*b + 15 = 13*c, -5*b = 0. Let m(p) = -3*p**2 + 9*p + 9. Determine c*r(w) - 8*m(w).\nAnswer: -w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 20345.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let v = 211646 + -211629. Put v, 0, h in ascending order.\nAnswer: 0, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + (-39 - -41).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 591 = c, 3*u - 4*c - 586 = -138. What is the remainder when u is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707673 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1078 - 1078.000002165. What is t rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(10) + (1*sqrt(120))\/sqrt(12)))\/(sqrt(45)\/(1*sqrt(9))) + -3.\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*p**2 + 218*p**2 - 74*p**2 - 31554*p**3 - 73*p**2.\nAnswer: -31554*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 - 1590*y**4 + 9621*y**3 - 14472*y**2.\nAnswer: -3*y**2*(y - 3)**2*(y + 536)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((4\/36*3)\/(-2)). Let d be 40\/6 + (-1)\/(9\/l). Which is greater: 7 or d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -91. Suppose 2*y - v = b, 5*y + 3 = -2*b + 15. Solve -3*r + 4 = b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 8, -29, 0.3, -0.12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79898360 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 258007.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/6117 and 63\/4078.\nAnswer: 12234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82149 = -42*j + 107733. What is the greatest common divisor of j and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63855952\/73 equal to -874739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 4) + 1)\/(-1). Suppose 5*w - h = -87, 0 = -2*w - l*w - 3*h - 81. Let i = -33\/2 - w. Which is the smallest value? (a) -1 (b) i (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 at least 239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2165.04781 - 0.04781. Let k = -2205.58 + j. Let g = k + 39. Round g to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 4)*(17*c - 17*c - 4*c**3).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64794.8 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 10:11 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201 + -30. Let x = 173 - z. Let j be (-66)\/(-15) + (-2)\/5. Solve -x = 2*a - j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 214*b**2 - b + 2. Let z be i(1). Let s = z + -136. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47036.831 rounded to the nearest ten?\nAnswer: 47040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {q: 1, z: 3, g: 4, v: 1, u: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-20))\/(3\/(-10)). Let r(l) = -l**3 + 9*l**2 - 5*l + 2. Let s be r(n). Suppose -3*g = 2 - s. What is the least common multiple of g and 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1168940 - 8648.44.\nAnswer: -1177588.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(76))\/(sqrt(16)\/(sqrt(8)\/sqrt(2) + sqrt(4)) + sqrt(4)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(-3 + (sqrt(76)\/sqrt(4))**2 + (sqrt(171) + sqrt(171) + -1*sqrt(171))**2).\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + p**3\/3 + 352*p**2\/3 - 1360*p\/3.\nAnswer: -p*(p - 17)*(p - 4)*(p + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/8 + (-7640)\/16*(-11)\/44. Sort p, 5, -15.\nAnswer: -15, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(2*1\/4). Let r = 187 - 188. Let m(v) = 56*v**3 + v**2 - v - 1. Let b be m(r). Is b >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Suppose 4 = -2*d + a. Let z be (-19 + d)\/((-177)\/45 + 4). What is z rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151454\/473 - (-20)\/(-55)?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-140) - (-1)\/(-4). Let q = -14308\/27 - -530. What is the third biggest value in q, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -703\/66 - -32\/3. Let a(v) be the third derivative of 1\/1155*v**7 - 1\/330*v**5 + 0 + 0*v + 0*v**3 - 1\/330*v**6 + 3*v**2 + z*v**4. Factor a(w).\nAnswer: 2*w*(w - 2)*(w - 1)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 17. Let r be n(0). Suppose -4*v = -77 + r. Suppose 4*o + 41 = 157. What is the remainder when o is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472723.\nAnswer: 463, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -418113084, -836226170, -1254339256, -1672452342, -2090565428, -2508678514?\n\"Answer: -418113086*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 5*j - 9*j**2 + 11*j - 240.\nAnswer: -9*j**2 - 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 232 + 307 + 156 = 0 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 15*r - 6. Let o = -106 - -100. Does 26 divide v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 47*b - 89 = 4*c + 44*b + 503, -4*b - 28 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1940715 divided by 3535.\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 + 240 = 17*j. What is the highest common factor of j and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1060272 and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 11. Let x be m(5). Suppose x*a = a + 12. Let t(v) be the third derivative of -v**5\/60 + v**4\/6 - v**3\/6 + 4*v**2. Determine t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.074 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(1288\/(-10)))\/(4*10\/84)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 - 299.03. Which is the second smallest value? (a) 0.3 (b) p (c) -0.1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 85*y**2 - 44*y - 41. Let t be p(-43). Let h be (2*t)\/1*30\/40. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/9*3\/(-4)*80\/((-120)\/6)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 23\/3 (c) -17\/5 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12*z**2 + 5*z + 8. Does 9 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20283 + -9502. Let c = z + -6160. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311497340?\nAnswer: 2, 5, 7, 11, 83, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2133 divide 30599380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Let m(j) be the first derivative of j**3 - j**2\/2 + 2*j + 8. What is 2*l(o) - m(o)?\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 406*j + 53377. Give k(91).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 7, -2\/9, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/2476365 - -69533852851\/19810920. Let p = r - 3503. Find the common denominator of 14\/13 and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (118\/295)\/(3\/(-6))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let r be 1\/(-4) - (-5)\/4. Suppose -7*t + b + 13 = -3*t, 0 = t + 2*b - r. Let q(c) = 119 - t*c**2 - 119. Determine y(q(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -15. Let s = 8 + f. Let w(q) = 4*q - 5. Give w(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/116? (a) 0.044 (b) 2 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 n when four letters picked without replacement from {g: 4, n: 14}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 7\/(7\/3). Factor 0 - 1\/2*u**g - 1\/2*u.\nAnswer: -u*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:21 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 21951.\nAnswer: 109755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nznn when four letters picked without replacement from {y: 2, q: 4, z: 1, n: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7010485 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 272, 1055, 2338, 4103, 6332, 9007, 12110?\n\"Answer: -3*n**3 + 268*n**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1\/28, 5 in ascending order.\nAnswer: 1\/28, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4.59. Let y = -0.41 - v. Put 1, y, 2\/21 in decreasing order.\nAnswer: 1, 2\/21, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i. Let n(k) be the third derivative of k**7\/2520 + k**5\/15 + 3*k**2. Let j(x) be the third derivative of n(x). Calculate j(d(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:42 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2 (b) -0.7 (c) 11\/3 (d) 3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3969\/990 + -4)*4 + 21*(-1310)\/275\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 549135315 divided by -12203007\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*l + 1181*m - 1184*m, l = 8*m + 5 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -750679\/56 or -13404?\nAnswer: -750679\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -37251 minus 3422.31785?\nAnswer: -40673.31785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/31 and 143\/24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 1 - (-14 + 14 - (0 + -1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1142 - -1852. Let r = p - 473. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**2 + 20. Let w(u) = -5*u**2 + 10. Determine 6*f(h) - 11*w(h).\nAnswer: h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85288042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85748\/7 - -12250. Which is the smallest value? (a) 1 (b) 4 (c) -0.5 (d) t (e) 2.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.98 - -11?\nAnswer: 14.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 42. Calculate p(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 425897, 425913, 425929, 425945?\n\"Answer: 16*x + 425881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 11055002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14*64\/1008*-6*(-7)\/(-280)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*40\/30 + -1221. What is the tens digit of (-4 + s)*(-5)\/((-5)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2016)\/(-1728))\/((-28)\/80).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4507?\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 16*o - 11*o. Suppose -o*p = -28 + 2. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 - 133726 + 133726.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 32 - 3*z + 28)*(-2 - 2 + 2).\nAnswer: 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 45*i**2 - 1982*i - 2715. What is c(-72)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25018447*m**3*p**2 - 2*m**3 - m*p**2 - 221*m*p - 22220*p wrt p.\nAnswer: -50036894*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10212122223 (base 4) to base 15\nAnswer: -18c4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 13*m - 26. Let u(o) = o**3 + o. Calculate the remainder when u(2) is divided by w(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*h - 1634 + 11864. Calculate the least common multiple of h and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/5)\/n*n**(-1\/4)*(n\/n**(1\/2))**(1\/39))\/(n**(-5)\/(n*n*n**(-1)*n)*n**(-3\/4)\/n*n*n\/n**(-3)) assuming n is positive.\nAnswer: n**(646\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -1) + -1 + -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d = 6*d - 28059. Let l = -581 + d. Let t = -28 - -54. What is the lowest common multiple of t and l?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 12764\/(-156) - -1. Let y = u - 251\/3. What is the closest to 2 in -3, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i - 32. What is the third derivative of 7*w**2 - 4*w**4 + i*w**4 + 5*w**4 wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27127 + 27132. Sort 2, -2, 3, t.\nAnswer: -2, 2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:02 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -8*c**2 + 0*c - 5\/24*c**4 + 7\/12*c**5 + 0 + 0*c**3. Determine a so that h(a) = 0.\nAnswer: 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**5\/60 - t**4\/4 + 13*t**3\/6 - 26*t**2. Let v be f(-7). Let k be (-2)\/v*(-14 - -2). Solve -k*y = 16 - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5716.428ng?\nAnswer: 5.716428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 9*s + 3. Suppose -33 = 4*z - 5*n, 17 = -2*z + 4*n - 1. Is d(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -236.2.\nAnswer: 25.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 20*x**2 + 19*x + 6. Give y(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/8 + 31*q**2\/2 + 1455*q\/8 + 333\/2.\nAnswer: (q + 1)*(q + 12)*(q + 111)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -517\/81 or -7?\nAnswer: -517\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a. Suppose a = w + 4*w. Let t be 12 + (-1 - (-2 - w)). Calculate the highest common divisor of t and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/2 + 4*y**3\/3 + 4*y**2 + 10*y + 44. What is the remainder when h(-3) is divided by (-4 - 2)\/((-6)\/16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = f + 2. Suppose 3*a + 0 = f. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 9*w - 16. Let r be q(4). Let t be (-525)\/(-165) - r\/22. Let k(m) = 0*m + 1 + 0 - 2*m. Give k(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 12*m + 7. What is b(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 311 and -2381425.\nAnswer: -740623175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197870 divided by 94.\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4964 and 1314?\nAnswer: 44676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)\/c*c*c*c**0*c*c*c**(-2\/49)\/(c*c**(-6\/11)*c) assuming c is positive.\nAnswer: c**(-4040\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a - 1. Let j(n) = -n**2 + 5*n + 2. Let r be j(5). Let f(v) = 0*v**r - 5 + 2*v**2 + 2 - 3*v. Give f(m) - 3*w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 274. Let h be r(85). Solve 22*z = -h + 41 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 5*x + 0*x - 4 + 7. Let m(k) be the second derivative of k**5\/5 - k**4\/12 - k**3\/3 - k**2\/2 + 7*k. Let s be m(-1). Give d(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 917 = 2*c - 4*n, 0 = -4*c + n + 738. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpllx. What is prob of sequence lxl?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*h - 5439 = -2933 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 22 - 15) + (-2 - -4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-441)\/(-54)*13176\/6832. Determine y, given that -3*y - j + 3\/4*y**2 = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, 7\/4, 10.2402?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jggg when four letters picked without replacement from {v: 2, i: 1, j: 2, m: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fry. What is prob of picking 1 f and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -6*d - 6. Is -0.2 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339891.5409 rounded to the nearest one hundred?\nAnswer: 339900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:26 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.51, -30, -1.06?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3588.023 and -0.11?\nAnswer: 3587.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -301321331303 (base 4) to base 11\nAnswer: -7426077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**2 + 7*o**2 - o - 37*o**2 to q + d*o + w*o**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 1448 + 1417 = -5*g, 0 = 3*g - 5*i - 29 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a + 0 - 4*a**2 - 1\/6*a**3. Let r(i) = i**2 + 46*i - 200. Let j be r(-50). Give f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let f(d) = -72745*d - 4. Determine l(f(u)).\nAnswer: 218235*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6257 - -6293. Solve 0 = 1697*l - 1706*l + m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 26.6782?\nAnswer: -133.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -144123111 (base 6) in base 12?\nAnswer: -1006497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-9 + 25)) + 3 + 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 63. Let h be q(-16). Let n be -1 + 10\/h - 2\/3. Is -2\/29 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -47*x + 2. Let j be o(-2). What is the highest common factor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 56*d - 2352.\nAnswer: -(d - 84)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -23*r**2. Let o(x) be the first derivative of x**3\/3 - 19. What is v(o(m))?\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224065353?\nAnswer: 3, 67, 1114753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2, 4, -13.9, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506817 > 1\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 11, 5, -34, 0, -835 in ascending order.\nAnswer: -835, -34, -1, 0, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76543251.\nAnswer: 3, 487, 52391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = 71*i - 904214. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 413160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129 - (-4 - (-5 - -2)). Differentiate 66*c - v + 8*c - 17*c + 34*c with respect to c.\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n - 53 = -233. Let k(m) = 4*m**3 + 11*m**2 - 2*m - 2. Let b(z) = -9*z**3 - 22*z**2 + 5*z + 5. What is n*k(i) + 2*b(i)?\nAnswer: 2*i**3 + 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*m**2*u - 97*h**3*u**2 - 2*h**3*u - 7*h**2*m**2 - h*m**2*u**2 + m*u**2 wrt m?\nAnswer: 2*h**3*u - 14*h**2 - 2*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.751679 millilitres?\nAnswer: 0.003751679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 26*h + 4 - 1 + 22*h to r + v*h and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 6. Suppose -x = 5*i, -3*x + 2*i - 3*i = -28. Suppose -5*v + 4*o - x - 6 = 0, 0 = 2*v - 2*o + 8. Calculate t(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1722 - 1102. Suppose p + o = -2*p + x, 5*o + 20 = 0. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.14 + -0.06. Let d = x + 2. Put 0.4, -4, d in ascending order.\nAnswer: -4, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 - -245. Calculate the highest common divisor of 62 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 0.1 (c) -396 (d) 0 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -141, -318, -557, -852, -1197, -1586, -2013?\nAnswer: -2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:36 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -2036.\nAnswer: 7\/1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2 + 208*l**3 + 77*l**3 - 289*l**3 - 5*l. Let w(y) be the third derivative of y**6\/120 + y**4\/24 + y**2. Calculate -m(d) - 5*w(d).\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*4*-4 - (-4*sqrt(66)*-2 - sqrt(66)))\/((sqrt(600) - sqrt(600)*-1 - sqrt(600))*-4 + sqrt(600) + 2*sqrt(600)*2 + sqrt(600)))**2.\nAnswer: 5819\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a74341 + 2?\nAnswer: -a7433b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046541 to six decimal places.\nAnswer: 0.000465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3668?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -13*n**7\/105 + 41*n**3\/6 - n**2 + 6. Differentiate r(i) with respect to i.\nAnswer: -104*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b - 15*b - b + 0*b + b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99591479 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 2, 2\/3, 1166, -4\/5, 0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8869, -8866, -8861, -8854, -8845, -8834?\nAnswer: -8821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h)\/h)**(-30) assuming h is positive.\nAnswer: h**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715465 is divided by 687.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybytypyftpyp. What is prob of picking 1 t and 2 p?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42527823829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 160. Determine t(12).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8053, -16110, -24167, -32224?\nAnswer: -40281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (15 - (-7 - -26))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + (-4 + 4 - 1)*(1 + 2 - 2) - 1 + 1 + 2 - 1 - 4 + 2)*(l**3 - 2*l**3 - l**3).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 5. Suppose 3*h - 10 = -o*h. Suppose 2*y + 0*j = 4*j + 30, -5*y + h*j + 99 = 0. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 4*q)*(2 - 2*q - 2) - q + q - q**2 - 1 + 1 - q**2 + 0*q**2 + 0*q**2 + 27*q + q**2 - 3*q**2 + 0 - 5 - 1.\nAnswer: -8*q**2 + 27*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 3038*a**2 - 3039*a**2 - a.\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 1\/3*6 + 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccuucucccucccuu. What is prob of sequence uc?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -238.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 49908689 + 49908689.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.02, 1\/1212, 0?\nAnswer: 1\/1212","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 + -1.40000488. What is m rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 18*z. Sort -3, 32, z in increasing order.\nAnswer: -3, z, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -y - 25, 5*s + 2*y - 30 = 15*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(-1*(-3)\/(-291)). Let o = -98 - w. List the prime factors of ((-4)\/o)\/4 + 17.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42\/55 - -4\/11. Let r be 49\/(-120) + 4\/(-12). Let g = r + 3\/40. What is the second biggest value in g, c, -4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*i + 17087 = 211*i + 5582 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(3*2\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 - q + 1. Let z be x(5). List the prime factors of z\/(100\/95 - 1).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 5*t - 76 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 3*f + 0*f - 16*f**3 to k*f**2 + c*f**3 + p*f + m and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 - 226. Find s, given that 5*s**2 + 6*s**2 - 26*s**2 - 8*s - 2*s**3 + x*s**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7822*g**3 + g**2 + 7822*g**3 - 94 + 34*g**4 with respect to g.\nAnswer: 136*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 - 43*y - 35. Give g(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*k*s**3*y - 21*k*s**3 + 2*k*y + 3*k + s**3*y - 4041*s**3 + 516*s**2*y - 3*s*y - 7*s + 2*y wrt s?\nAnswer: -216*k*y - 126*k + 6*y - 24246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278 at least as big as 4276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/13 in -264, 0.2, -0.3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 21842766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 466870 at most 933739\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -11 + (18 - 3 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/27)\/((8\/2)\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/3 - 5*k**4\/3 + 37*k**3\/3 + 5*k**2\/3 - 12*k = 0 for k.\nAnswer: -9, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 + 10947*g - 346 + 648 + 31704*g.\nAnswer: 42651*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290601.\nAnswer: 3, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10 and 1*(1 + -1 - (-21)\/(-5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46912956, -93825908, -140738860, -187651812?\n\"Answer: -46912952*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 + 18*v**3 + 24*v - 36*v + 15*v - 16*v**3 to z*v**2 + y*v + d*v**3 + g and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/11)\/j**(-8\/7))\/((j\/(j**(3\/11)*j))\/j*j*j**(2\/3)\/j))**(11\/2))**(-4\/9) assuming j is positive.\nAnswer: j**(-766\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) -8 (c) 133\/986 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-1\/7)*c\/(c\/(c\/((((c\/(c\/c**(2\/5)))\/c)\/c*c)\/c)))*c**(-1\/13)\/c*c**1\/c assuming c is positive.\nAnswer: c**(1538\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.469644 minutes in nanoseconds?\nAnswer: 28178640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/414998 and -113\/218420.\nAnswer: 4149980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/7))\/p*p)\/(p*p*p**(5\/3))*p**2\/p*p**(4\/5) assuming p is positive.\nAnswer: p**(-136\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -3*(-2*sqrt(78) + sqrt(78)) + sqrt(78))\/sqrt(6) + -3 + (1*sqrt(156)*-2 + sqrt(156) - sqrt(156))\/(sqrt(132)\/sqrt(176) + sqrt(12)).\nAnswer: -3 + 17*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721297.\nAnswer: 19, 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*n = 5, 0 = -15*q + 12*q - 4*n + 63. Which is the closest to -2? (a) 11 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -5, 454 in decreasing order.\nAnswer: 454, 83, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 199*l - 596. Let o(n) = -6*n**2 - 204*n + 597. Let f(b) = 2*o(b) + 3*p(b). Solve f(k) = 0.\nAnswer: -66, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*q - 3 = -5, 4*y - 5*q = -11. Let u = y + 11. Solve 3*j**u - 7*j**2 - j**4 + 0*j**4 + 5*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499723701*u + 86*u**3 - 499723701*u.\nAnswer: 86*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.754014 take away 13.4?\nAnswer: 14.354014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644601 divided by 8?\nAnswer: 644601\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28678 = a - 5*v, -114796 = 44*a - 48*a - v. List the prime factors of a.\nAnswer: 2, 3, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229635 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1500b59 (base 12) to base 4.\nAnswer: 100021021311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)\/(2*1). Let v = -0.5 - 0.5. Which is the biggest value? (a) v (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2 and -52\/48879?\nAnswer: 97758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 1882 + 2*p**4 - 1150 + 3641 + 0 + 0 + 2*p**4 + (-p + 3*p - p)*(3*p**3 + 3*p**3 - 5*p**3) as u*p**4 + r*p**2 + k*p**3 + o*p + v and give v.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3096731 minutes in days?\nAnswer: 0.005076161875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1429968 and 2640.\nAnswer: 78648240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11)**(-33)\/(f\/((f\/f**(6\/13))\/f)*f*f**(1\/12)\/f) assuming f is positive.\nAnswer: f**(-56869\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-645)\/90 + 15 - 3\/(-18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.69 - -1.6. Let s(g) = 2*g**2 - 48*g + 268. Let h be s(9). Which is the nearest to 1\/4? (a) 0.4 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 43 = -202. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (81*v**2 - 37*v**2 - 43*v**2)*(-v - 13 + 13) in the form t*v**3 + m + x*v + u*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*f**2*r**3*u - 4*f**2*u**2 + 3*f**2 - 17*f*r**3 - 2*f*r**2 - 617*r**3*u**3 + r*u**3 - 22*u**2 wrt r?\nAnswer: 174*f**2*u - 102*f - 3702*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -42 (c) -58 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -13*n**3 - 10*n**2 + 49*n + 90. Let d(a) = -37*a**3 - 30*a**2 + 146*a + 270. Let l(h) = 4*d(h) - 11*x(h). Determine z so that l(z) = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -387810 - -387807. Suppose 0*n = -n - 1. Let d = -4 - -14. What is the nearest to d in a, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 58.8152345 and 5.\nAnswer: 63.8152345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3361941 or -3361938?\nAnswer: -3361941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16 - 3.96. Let c = 7.2 - a. Which is smaller: 17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0756? (a) 0.1 (b) -1\/8 (c) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q - 19. Let x be o(-5). Let g be (0 - 15)*10\/((-550)\/x). Solve 6 = -2*z - 4*r - 12, r - g = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 656 + -1313. Let p = q + 659. Solve -7 = 3*w + p, -5*d + 2*w = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503 a factor of 83748819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291 - -153. Let u be 0 - (79 + 2 + 0). Calculate the common denominator of -1\/10 and a\/8*9\/u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -30*r + 22. Let g(o) = -o**2 - o + 1. Let x(p) = -3*p**2 - 8*p + 5. Determine r*x(d) - 5*g(d).\nAnswer: 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11)*d)\/d)\/d**(5\/6)*((d*d*d*d\/(d\/(d\/d**(-9)))*d)\/d)\/d*d**(-2) assuming d is positive.\nAnswer: d**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -8, -u - 3*u = -3*t + 25. Suppose -t*j - 8000 = -j. What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by (6\/12)\/(2\/92)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 20 = 21*s. Let r(t) be the third derivative of -5*t**s + 0*t**4 - 1\/20*t**5 + 0*t**3 + 0*t + 0 + 2\/35*t**7 - 3\/40*t**6. Factor r(w).\nAnswer: 3*w**2*(w - 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 4*a**3\/3 + a**2 + 47*a. Let n(k) = k. Let j be (12 - (4 - -8)) + 1. Calculate j*c(o) - 6*n(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.15, 0.2, 2232859?\nAnswer: 2232859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a factor of 45345029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 + 33*o - 42. Let b be u(2). Solve 3*c - 6 = 3*w, b*w + 4 = -2*w - 2*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1838 and 2757?\nAnswer: 5514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 128. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4\/231 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0 + 0*t - 1\/24*t**4 - 5\/3*t**3 - 3*t**2. Determine g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**3 - 15*m**2 - 174*m - 264 = 0.\nAnswer: -4, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 94.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.196 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6\/7))\/v**(-8))\/(v\/(v\/(v**(-2\/13)\/v))*v**(1\/9)*v*v*v) assuming v is positive.\nAnswer: v**(5066\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/60 - 163*a**5\/135 - 29*a**4\/12 + 74*a**3\/27 + 434*a**2. Factor w(p).\nAnswer: 2*(p - 37)*(p + 1)*(9*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/4)*(((z**(1\/3)*z)\/z)\/z*z*z)\/z*(z**0*z)**(-15\/4)*(((z\/(z**3\/z))\/z)\/((z**3\/z*z*z)\/z))**(-1\/25) assuming z is positive.\nAnswer: z**(-89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27454?\nAnswer: 2, 7, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1676\/1476 - (1694\/99 - 16)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/10 - 13*b**2 + 1873*b\/10 + 1001\/5 = 0.\nAnswer: -143, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 391? (a) 0.4 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4 + (-679)\/2. Let i = b - -865. What is the highest common factor of i and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 45. Let z = h - 39. Let a = z - 10. Solve 0 = -2*n - 2 + a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + 154. What is the common denominator of (1\/3)\/((-3)\/j) and 70\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/((sqrt(24)*-1)\/sqrt(12)) + 5.\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/41 - 19\/410. Put 3, f, -3 in increasing order.\nAnswer: -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 78, -2\/15, 31518, -4, -3\/5?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28652 divided by -1102?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71286 and 47524?\nAnswer: 142572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose 6*l - l = -3*q + 31, -h*l + 7 = -4*q. Suppose 0*k + q*n - 15 = -k, 3*n - 3 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366347794.\nAnswer: 2, 1549, 118253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 2*i**4 + i + (10217*i - 110*i**3 - 10217*i)*(2*i - 2*i - i) in the form f*i**2 + c*i**3 + q*i**4 + p + o*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (368\/(-161))\/(6*(-3)\/63)*6\/(-48)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9\/(q**(-4\/5)\/q))**(1\/4)*((q**(-1)\/q)\/q)**15*q*q*(q*q**(-1\/11))\/q*q*q*q**1*q assuming q is positive.\nAnswer: q**(-4003\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(5*k - k - 2*k)*(6322*k**2 - 19*k**4 - 6322*k**2).\nAnswer: 114*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -20, -14, -6?\n\"Answer: z**2 + z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3977955.1 and -0.37258.\nAnswer: 3977954.72742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = -5*b - 12, 5*t = 4*b + 22. Let a(f) be the second derivative of -f**t + 1\/10*f**5 + 0 - 1\/3*f**3 - f + 1\/3*f**4. Calculate a(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 93694740*i.\nAnswer: -5*i*(i - 18738948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -294 + 133. Let k = p - -269. Let y = -108.00079 + k. What is y rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**3 + 10*a**2 + 59*a - 60. Determine i(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = 7*o - 14*o + 377 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810473053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.6 - -0.6. Let z = 338 - 3722\/11. Sort d, z, 0.\nAnswer: d, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12006 and 111780?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 4. Let j be k(-4). Let s = -2 - j. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkc when three letters picked without replacement from cykkybkbykyybyc.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10149091, 20298187, 30447283, 40596379, 50745475, 60894571?\n\"Answer: 10149096*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1749*y + 54 + 14 - 818*y - 857*y to l*y + s and give l.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 8 + 5*y + 4 - 30*y + 2 + 11.\nAnswer: -25*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -1779*j**3\/7 - 10026474*j**2\/7 - 14127428676*j\/7 - 238233720\/7 = 0.\nAnswer: -2818, -10\/593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 3*w**2 - 3. Let n be k(-3). Suppose 8 = -5*s + 23. Let h(z) = -z + 3 - z**2 - s*z + 3*z. Give h(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 51*n**2 + 99*n + 55. Let v be h(-49). Suppose -3*s = -3*s - v*s. Solve s = p + 3*l - 4 + 1, p - l = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111679201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 549631*i**2 - 3*i + 3756.\nAnswer: 1099262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2218920 and 26400?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 724474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, y: 1, o: 2, i: 1}. What is prob of sequence ir?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-j - 4*j + 4*j)*(-2*j - 3*j + 4*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5*p**2 - 7*p. Let q be j(-6). Let l = q - 5. Calculate the highest common factor of 2 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286625 divided by 3?\nAnswer: -286625\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 1, t: 2, m: 1, g: 1}. What is prob of picking 1 g and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose -r*d = 2*d - 12. Suppose 2*c + 24 = 4*c. What is the greatest common divisor of c and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/36 + (-1)\/4. Let f = -36.2 + 36. What is the closest to f in -3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255254147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*k + (-k + 0*k + 9*k)*(3 + 0 - 2) + 2*k + 5*k - k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 29 + (-1 - 2) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1013201647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99436 is divided by 5801.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 15*g**2 - 17*g - 13. What is b(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 57 = 5*w + 2*v, 4*v + 7 = w. Calculate the remainder when 17 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.06262um to kilometers.\nAnswer: 0.00000000206262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 328 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/63, 0.13, 0.02?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*p + 1611 + 1266, 5*a + 2*p = 7207. What are the prime factors of a?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 11*w + 2. Let f be n(-10). Sort -0.3, f, 0.3.\nAnswer: f, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618 and 3578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 16606.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.706982 rounded to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Let f = -349\/33 + -13\/22. Find the common denominator of 0 + 0 + (-7)\/x and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*i, 5*i - i = -4*k + 164. Suppose -472 = 36*n - k*n. Suppose 0 = 7*a - 719 + n. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihiijhijyhhjh. Give prob of picking 2 h and 1 j.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.757 - -5.957. Which is the fifth smallest value? (a) 0.5 (b) -2\/13 (c) w (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11467 divided by 289\nAnswer: -11467\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079707013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 10. Suppose -3*n + 64 = -4*y, -2*y = m*n - 0*y - 24. Suppose -n = -j - 3*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 19*x + 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -638*x + 637*x + 7, x - 42 = 5*c for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, h: 16}. Give prob of sequence hh.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 859920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvlkkxzkvkkjkzkz. What is prob of sequence xvkk?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let t(h) = 2 + 1 + 0 - h + 0. Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 a factor of 117772698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, w: 2, r: 5}. What is prob of picking 1 w and 3 r?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(84)*1 + sqrt(84)) - 3*sqrt(84)*3)\/(-2*6*sqrt(48)*2).\nAnswer: 11*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujup. Give prob of picking 1 u and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 t when four letters picked without replacement from aaattaaahttmwatm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 501, 805, 1109?\n\"Answer: 304*q + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-54) + (-1717)\/(-30) - -24*(-13)\/780?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3\/7 - 120*o**2\/7 + 564*o\/7 + 1584\/7 = 0.\nAnswer: -44, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.6*-5066\nAnswer: 23303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0. Let j be -1*(-3)\/(-36)*-4. What is the third biggest value in y, j, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:57 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*r + 20242 = -12590. Is r greater than or equal to -229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/3 + b**2 + 12*b + 18. Let r be n(4). Is 11 a factor of (-92)\/(-3*r\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-26 + 45)) + 7 + -22.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.092 and -5.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -27. Let t be (5\/(-10))\/(k\/(-8)). Suppose -3*w + 4*f + 128 = -f, w = -t*f + 39. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59061960 + 59062057.880051. Let v = 97.998 - a. Let m = v - 0.118. Round m to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604478825 to the power of 1\/3, to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9528.4687 to the nearest integer.\nAnswer: -9528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 838897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 2. Let m be x(-4). Let b = -6 + m. Suppose -14 = 3*i - b*i. Solve -3*p + i = -4*u, -p + 14 + 4 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1168164 divided by -2\nAnswer: 584082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -5, -5675, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.88 + 0.58. Let o = -0.3 - a. Let c = -0.44 + 0.04. What is the closest to 1\/4 in 1, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/24 - 11*h**3\/6 + 4*h**2 + 52*h. Let s(q) = -q**2 + 2*q + 3. Let f be s(3). Determine x(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from dkybybbdeiy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - c + 243, 0 = 5*r - 4*c - 329 + 41. Let u = r - 56. Suppose -3*q**u - q**4 - q**4 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 28 = -4*x. Let q = 1561 + -1386. Calculate the highest common divisor of q and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 447184995?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1977, -4155, -6333, -8511, -10689?\n\"Answer: -2178*p + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -5. Suppose -5*m = f + 2*f - 40, -f = -w*m - 6. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -150, -247, -432, -735, -1186?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -5.3. Suppose 0 = 2*h + 4*f - 32, -2*h + f + 3*f = -40. Let n be (-10)\/(-6) + h\/(-6). What is the third biggest value in n, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43051498.76 to the nearest ten thousand.\nAnswer: 43050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76727 by -76727.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 65 = -410. Suppose 3*t - m = -24. Let b(f) = f**3 - 3*f**2 + 1. Let d be b(3). Solve -4*u - d = t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*u + 18, 0 = 4*b + 3*u - 1 - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-4)\/16). Let f be (-3 + (-6)\/(-2))\/i. Do 2\/19 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 97115?\nAnswer: -97111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15569.295 months to years.\nAnswer: 1297.44125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 1 + -7 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -10*h + 15*h. Suppose 290 = 4*s + 2*o, -2*s + 3*o = -92 - 41. What is the remainder when s is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113740 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(7\/756). Suppose 5*w - 81 = -16. What is the remainder when (-2)\/1 - i\/(-2) is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 487095.898997459 + -487096.221. Let w = 0.322 + c. Round w to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 = -5*m, 32*m + 140 = 4*p + 28*m. Let d(z) = -z**3 + z**2. Let o be d(-6). What is the highest common divisor of o and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -2\/15, -21, 28, -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0 - 5\/12*t**4 + t**3 + 0*t + 4*t**2 + 1\/30*t**5. What is the tens digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 18*q + 184. Let s(f) = -681*f + 5423. Let t be s(8). What is u(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1700 and 748?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -438522.6.\nAnswer: -43852.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q\/(q*q**(-1\/4)\/q))))\/q)**(30\/7))**(-3\/37) assuming q is positive.\nAnswer: q**(135\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13344 and 48041736.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 23*d**2 + 186*d - 187. What is the smallest common multiple of 82 and x(1)?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/148 and 69\/6068.\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 2*n + 1137 = 5*d, -2*d - 449 = -5*n. Let a = -1004 - -776. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 27*i - 24*i**4 - 2*i**2 - 15*i**3 + 8*i**4 - 7*i**2 + 13*i**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1113 + -845. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-6 + -17 - -40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(0 + (-33)\/55)\/(26\/(-10))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127\/91 - 102175\/78624. What is the common denominator of 47\/576 and y?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = 18*p + 36. Calculate the highest common divisor of p and 4208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*q - 44900 + 301354 = -4082*q + 16610 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2330 is divided by 774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.9 - 212346.5452239.\nAnswer: -212340.6452239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12421234403 + -2?\nAnswer: -12421234405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 17*j. Suppose j = 5*p - 0*p - x - 875, -4*p + 4*x = -716. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d + 2. Let t be p(-5). Let l(f) = -f + 9. Let r be l(t). Let b = -8630 - -8631. Solve b = -m + v, 0*m - r = -m - 2*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42420, 84941, 127562, 170283, 213104, 256025?\n\"Answer: 50*v**2 + 42371*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -15. Let o(x) = -2*x**4 + 12*x**3 + 2*x**2 - 12*x + 10. Let b(a) = a**3 - a + 1. Let m(p) = l*b(p) + o(p). Determine t so that m(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4\/12 + 8*k**3\/3 - 3*k**2. Let z be (-8 - -16) + -4 + 2. Let s be f(z). Solve s*u + 15 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -771*n + 10. Let g(z) = -769*z + 8. What is 5*g(i) - 4*q(i)?\nAnswer: -761*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-22))\/(4\/(4\/(-1))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 307, 330, 351, 370?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82 + 61*m + 82)*(5*m - 3*m - 2 + 5*m) to the form d*m**2 + h*m + k and give d.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -12 + 0 + (-3 - -153) + (163 - 169)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5*15095\/27171?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 8*x - 24. Let m be (-1)\/(1 - x\/6). Suppose 3*c - 9 = -0*c. Solve c*s + m + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3271, -6549, -9827, -13105, -16383, -19661?\nAnswer: -22939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.572465 - -4685.345.\nAnswer: 4685.917465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -212*q. Let a(r) = 150*r - 136. What is t(a(v))?\nAnswer: -31800*v + 28832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y**2 + 2*y + 2. Let n be h(6). Let b = n - 0. What is the greatest common divisor of 21 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17829 and -17824 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3\/2 - 786*j**2 - 81510*j + 5889312 = 0?\nAnswer: -286, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.241 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/64 - -1451\/576. Find the common denominator of 139\/18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:23 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2361 by -787.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 1\/6*y**3 + 0*y**2 - 3*y + 0. Let u(p) = -p - 4*p + 2*p. Calculate u(i(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -8)\/((-6)\/9*1) - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2\/4 - 2003985*v - 1338651960075 = 0. What is v?\nAnswer: -1335990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*d - 207 = 571*d + 3*b, 0 = 4*d + 2*b - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4\/7 + 39*c**3\/7 - 69*c**2\/7 + 33*c\/7 = 0. Calculate c.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-33) - ((-2547)\/396 + 7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/360 and -23\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -230444 (base 5) in base 8?\nAnswer: -20071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/j*j)**(-40) assuming j is positive.\nAnswer: j**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 6*b + 1. Let i be y(-5). Suppose -i = -p - 4. Suppose -p = 2*d - 10. Solve 2*z + d*v = -12, 0*v = -2*z + 2*v - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -69*q**2 + 8075*q - 230. Give o(117).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, m: 2}. What is prob of picking 2 m and 1 i?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**3 - 9*u**2 - 5*u - 10. Let g(t) = 4*t**3 - 8*t**2 - 4*t - 9. Give -7*g(k) + 6*h(k).\nAnswer: 2*k**3 + 2*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s**2. Give o(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90\/12*20\/(-12)*64\/(-80)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56166 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 1274*n - 29997. Calculate b(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -105, 3, -20, 6, 4 in descending order.\nAnswer: 6, 4, 3, -5, -20, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/2636)\/(96\/64). Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.01691 decades to millennia.\nAnswer: 0.0601691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}